directory	title	author_line	date	family	family_title	family_has_lean_scope_note	status	pdf
A-C1-Counterexample-to-the-Entropy-Conjecture-September-25-2026	A C¹ Counterexample to the Entropy Conjecture	OpenAI	September 25, 2026 (from directory name)	151	A C1 counterexample to the entropy conjecture	True	current (in CONTENTS.md)	preprints/A-C1-Counterexample-to-the-Entropy-Conjecture-September-25-2026/article.pdf
A-CH-Obstruction-to-a-Prescribed-Categoricity-Threshold-September-24-2026	A CH obstruction to a prescribed categoricity threshold	OpenAI	September 24, 2026	240	Shelah's eventual categoricity and the prescribed-threshold obstruction	True	current (in CONTENTS.md)	preprints/A-CH-Obstruction-to-a-Prescribed-Categoricity-Threshold-September-24-2026/paper.pdf
A-Capacity-Criterion-for-Four-State-Potts-Reconstruction-on-Trees-October-5-2026	A Capacity Criterion for Four-State Potts Reconstruction on Trees	OpenAI	October 5, 2026	229	Exact three- and four-state reconstruction thresholds and four-state tree capacity	True	current (in CONTENTS.md)	preprints/A-Capacity-Criterion-for-Four-State-Potts-Reconstruction-on-Trees-October-5-2026/four-state-capacity.pdf
A-Charged-Reduction-of-the-Spacetime-Penrose-Inequality-in-Spatial-Dimensions-at-Least-Four-October-5-2026	A Charged Reduction of the Spacetime Penrose Inequality in Spatial Dimensions at Least Four	OpenAI	October 5, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/A-Charged-Reduction-of-the-Spacetime-Penrose-Inequality-in-Spatial-Dimensions-at-Least-Four-October-5-2026/paper.pdf
A-Codimension-One-Bound-for-the-Singular-Set-of-a-Stationary-Integral-Varifold-October-5-2026	A Codimension-One Bound for the Singular Set of a Stationary Integral Varifold	OpenAI	October 5, 2026	346	Sharp singular-set bounds for stationary integral varifolds	False	current (in CONTENTS.md)	preprints/A-Codimension-One-Bound-for-the-Singular-Set-of-a-Stationary-Integral-Varifold-October-5-2026/varifold-singular-dimension.pdf
A-Complete-Local-Domain-Without-a-Small-Cohen-Macaulay-Module-September-23-2026	A Complete Local Domain without a Small Cohen-Macaulay Module	OpenAI	September 23, 2026	195	A counterexample to the small Cohen–Macaulay module conjecture	True	current (in CONTENTS.md)	preprints/A-Complete-Local-Domain-Without-a-Small-Cohen-Macaulay-Module-September-23-2026/paper.pdf
A-Conditional-Reduction-for-Algebraic-Kuga-Satake-Correspondences-September-10-2026	A Conditional Reduction for Algebraic Kuga–Satake Correspondences	OpenAI	September 10, 2026	032	The rational Hodge conjecture for CM abelian varieties	False	current (in CONTENTS.md)	preprints/A-Conditional-Reduction-for-Algebraic-Kuga-Satake-Correspondences-September-10-2026/paper.pdf
A-Coulomb-Ground-State-Density-without-Kohn-Sham-Ensemble-Representation-September-25-2026	A Coulomb ground-state density without Kohn–Sham ensemble representation	OpenAI	September 25, 2026	278	Failure of Kohn–Sham ensemble representation	False	current (in CONTENTS.md)	preprints/A-Coulomb-Ground-State-Density-without-Kohn-Sham-Ensemble-Representation-September-25-2026/paper.pdf
A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Characteristic-Two-September-23-2026	A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Characteristic Two	OpenAI	September 23, 2026	197	A torsion-free group algebra that is not directly finite	True	current (in CONTENTS.md)	preprints/A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Characteristic-Two-September-23-2026/paper.pdf
A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Odd-Characteristic-September-26-2026	A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Odd Characteristic	OpenAI	September 26, 2026	197	A torsion-free group algebra that is not directly finite	True	current (in CONTENTS.md)	preprints/A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Odd-Characteristic-September-26-2026/paper.pdf
A-Counterexample-to-Kuroshs-Division-Ring-Problem-September-23-2026	A Counterexample to Kurosh’s Division-Ring Problem	OpenAI	September 23, 2026	201	A counterexample to Kurosh’s division-ring problem	False	current (in CONTENTS.md)	preprints/A-Counterexample-to-Kuroshs-Division-Ring-Problem-September-23-2026/paper.pdf
A-Counterexample-to-Rysers-Covering-Conjecture-September-23-2026	A counterexample to Ryser's covering conjecture	OpenAI	September 23, 2026	162	Counterexamples to Ryser’s covering conjecture	True	current (in CONTENTS.md)	preprints/A-Counterexample-to-Rysers-Covering-Conjecture-September-23-2026/paper.pdf
A-Counterexample-to-Walls-D2-Problem-October-6-2026	A Counterexample to Wall's D(2) Problem	OpenAI	October 6, 2026	321	A counterexample to Wall's finite D(2) problem	False	current (in CONTENTS.md)	preprints/A-Counterexample-to-Walls-D2-Problem-October-6-2026/wall-d2-counterexample.pdf
A-Counterexample-to-the-Group-Ring-Determinant-Conjecture-September-23-2026	A Counterexample to the Group-Ring Determinant Conjecture	OpenAI	September 23, 2026	197	A torsion-free group algebra that is not directly finite	True	current (in CONTENTS.md)	preprints/A-Counterexample-to-the-Group-Ring-Determinant-Conjecture-September-23-2026/paper.pdf
A-Counterexample-to-the-Infinite-Matroid-Packing-Covering-Conjecture-September-24-2026	A Counterexample to the Infinite Matroid Packing/Covering Conjecture	OpenAI	September 24, 2026	185	Counterexamples to infinite matroid intersection and packing/covering	True	current (in CONTENTS.md)	preprints/A-Counterexample-to-the-Infinite-Matroid-Packing-Covering-Conjecture-September-24-2026/paper.pdf
A-Cyclic-Polytabloid-Proof-of-Saxls-Conjecture-September-24-2026	A Cyclic Polytabloid Proof of Saxl's Conjecture	OpenAI	September 24, 2026	205	Saxl’s conjecture and universal tensor squares	True	current (in CONTENTS.md)	preprints/A-Cyclic-Polytabloid-Proof-of-Saxls-Conjecture-September-24-2026/paper.pdf
A-Direct-Proof-of-Optimal-Max-Cut-Hardness-September-23-2026	A Direct Proof of Optimal Max-Cut Hardness	OpenAI	September 23, 2026	102	The Unique Games Conjecture and optimal approximation thresholds	True	current (in CONTENTS.md)	preprints/A-Direct-Proof-of-Optimal-Max-Cut-Hardness-September-23-2026/paper.pdf
A-Fixed-Particle-Test-for-Computation-in-a-Forced-Viscous-Flow-September-27-2026	A Fixed Particle Test for Computation in a Forced Viscous Flow	OpenAI	September 27, 2026	376	Universal computation in forced Navier–Stokes flows	True	current (in CONTENTS.md)	preprints/A-Fixed-Particle-Test-for-Computation-in-a-Forced-Viscous-Flow-September-27-2026/manuscript.pdf
A-Fock-space-inequality-and-the-Laughlin-spectral-gap-September-24-2026	A Fock-space inequality and the Laughlin spectral gap	OpenAI	September 24, 2026	269	Uniform Laughlin gap and stability under bounded scalar disorder	True	current (in CONTENTS.md)	preprints/A-Fock-space-inequality-and-the-Laughlin-spectral-gap-September-24-2026/A-Fock-space-inequality-and-the-Laughlin-spectral-gap-September-24-2026.pdf
A-Fully-Polynomial-Randomized-Approximation-Scheme-for-Perfect-Matchings-in-General-Graphs-September-23-2026	A Fully Polynomial Randomized Approximation Scheme for Perfect Matchings in General Graphs	OpenAI	September 23, 2026	113	Approximate counting and entropy of perfect matchings	True	current (in CONTENTS.md)	preprints/A-Fully-Polynomial-Randomized-Approximation-Scheme-for-Perfect-Matchings-in-General-Graphs-September-23-2026/main.pdf
A-Gepner-stability-condition-on-every-smooth-quintic-threefold-September-24-2026	A Gepner stability condition on every smooth quintic threefold	OpenAI	September 24, 2026 (from directory name)	055	Gepner symmetry and large-volume stability on threefolds	False	current (in CONTENTS.md)	preprints/A-Gepner-stability-condition-on-every-smooth-quintic-threefold-September-24-2026/paper.pdf
A-Limiting-Satisfiability-Threshold-for-Every-Fixed-Clause-Size-September-25-2026	A Limiting Satisfiability Threshold for Every Fixed Clause Size	OpenAI	September 25, 2026	235	Limiting random SAT thresholds, sharp variance and computability	True	current (in CONTENTS.md)	preprints/A-Limiting-Satisfiability-Threshold-for-Every-Fixed-Clause-Size-September-25-2026/article.pdf
A-Linear-Clock-for-Random-Walk-on-Tree-Weighted-Planar-Maps-October-5-2026	A Linear Clock for Random Walk on Tree-Weighted Planar Maps	OpenAI	October 5, 2026	211	The geometric phase diagram, diffusion, and spectra of random planar maps	True	current (in CONTENTS.md)	preprints/A-Linear-Clock-for-Random-Walk-on-Tree-Weighted-Planar-Maps-October-5-2026/linear-clock-random-walk-tree-weighted-planar-maps.pdf
A-Logarithmic-Independence-Bound-for-Clique-Free-Graphs-September-25-2026	A logarithmic independence bound for clique-free graphs	OpenAI	September 25, 2026	184	Correspondence coloring with a fixed forbidden subgraph	True	current (in CONTENTS.md)	preprints/A-Logarithmic-Independence-Bound-for-Clique-Free-Graphs-September-25-2026/paper.pdf
A-Low-Space-Algorithm-for-Worst-Case-Subset-Sum-September-26-2026	A Low-Space Algorithm for Worst-Case Subset Sum	OpenAI	September 26, 2026	138	Subset Sum in $`O(2^{0.49n})`$ time	False	current (in CONTENTS.md)	preprints/A-Low-Space-Algorithm-for-Worst-Case-Subset-Sum-September-26-2026/paper.pdf
A-Modulus-Proof-of-Cannons-Conjecture-September-23-2026	A Modulus Proof of Cannon’s Conjecture	OpenAI	September 23, 2026	246	Cannon's conjecture	True	current (in CONTENTS.md)	preprints/A-Modulus-Proof-of-Cannons-Conjecture-September-23-2026/paper.pdf
A-Nearly-Quartic-Separation-Between-Randomized-and-Quantum-Query-Complexity-October-5-2026	A Nearly Quartic Separation Between Randomized and Quantum Query Complexity	OpenAI	October 5, 2026	284	The optimal quartic separation between randomized and quantum queries	False	current (in CONTENTS.md)	preprints/A-Nearly-Quartic-Separation-Between-Randomized-and-Quantum-Query-Complexity-October-5-2026/quartic-query-separation.pdf
A-Negative-Solution-to-the-Finite-Lattice-Representation-Problem-September-24-2026	A negative solution to the finite lattice representation problem	OpenAI	September 24, 2026	206	Finite lattice representation and undecidability	True	current (in CONTENTS.md)	preprints/A-Negative-Solution-to-the-Finite-Lattice-Representation-Problem-September-24-2026/paper.pdf
A-Nonspectrahedral-Hyperbolicity-Cone-September-24-2026	A nonspectrahedral hyperbolicity cone	OpenAI	September 24, 2026	095	Hyperbolicity cones without semidefinite lifts	True	current (in CONTENTS.md)	preprints/A-Nonspectrahedral-Hyperbolicity-Cone-September-24-2026/nonspectrahedral-hyperbolicity-cone.pdf
A-PD4-group-without-an-aspherical-manifold-model-September-24-2026	A PD4 group without an aspherical manifold model	OpenAI	September 24, 2026	305	Four-dimensional disk embedding and Wall's conjecture	False	current (in CONTENTS.md)	preprints/A-PD4-group-without-an-aspherical-manifold-model-September-24-2026/paper.pdf
A-Pivotal-Amplitude-for-Voronoi-Percolation-from-Cardys-Formula-October-5-2026	A Pivotal Amplitude for Voronoi Percolation from Cardy's Formula	OpenAI	October 5, 2026	224	Critical and quenched near-critical universality for Poisson–Voronoi percolation	False	current (in CONTENTS.md)	preprints/A-Pivotal-Amplitude-for-Voronoi-Percolation-from-Cardys-Formula-October-5-2026/voronoi-pivotal-amplitude.pdf
A-Polynomial-Time-2-Approximation-for-Shortest-Common-Superstring-September-24-2026	A Polynomial-Time 2-Approximation for Shortest Common Superstring	OpenAI	September 24, 2026	128	A factor-two approximation for shortest common superstring	True	current (in CONTENTS.md)	preprints/A-Polynomial-Time-2-Approximation-for-Shortest-Common-Superstring-September-24-2026/paper.pdf
A-Power-Saving-for-Polynomial-Differences-at-Prime-Arguments-October-5-2026	A Power Saving for Polynomial Differences at Prime Arguments	OpenAI	October 5, 2026	182	Power savings for intersective polynomial differences and prime arguments	True	current (in CONTENTS.md)	preprints/A-Power-Saving-for-Polynomial-Differences-at-Prime-Arguments-October-5-2026/prime-argument-polynomial-differences.pdf
A-Sharp-Threshold-Bound-for-Monotone-Graph-Properties-September-25-2026	A Sharp Threshold Bound for Monotone Graph Properties	OpenAI	September 25, 2026	186	Uniform influence and sharp thresholds for graph and hypergraph properties	True	current (in CONTENTS.md)	preprints/A-Sharp-Threshold-Bound-for-Monotone-Graph-Properties-September-25-2026/paper.pdf
A-Smooth-Metric-with-No-Local-Isometric-Immersion-into-Three-Space-September-24-2026	A Smooth Metric with No Local Isometric Immersion into Three-Space	OpenAI	September 24, 2026 (from directory name)	334	A smooth surface metric with no local isometric immersion in ℝ3	True	current (in CONTENTS.md)	preprints/A-Smooth-Metric-with-No-Local-Isometric-Immersion-into-Three-Space-September-24-2026/paper.pdf
A-Three-Dimensional-Counterexample-to-Integer-Degree-Harmonic-Dimension-Comparison-September-26-2026	A Three-Dimensional Counterexample to Integer-Degree Harmonic Dimension Comparison	OpenAI	September 26, 2026	361	Failure of integer-degree harmonic dimension comparison	True	current (in CONTENTS.md)	preprints/A-Three-Dimensional-Counterexample-to-Integer-Degree-Harmonic-Dimension-Comparison-September-26-2026/paper.pdf
A-Three-Manifold-Without-Conjugate-Points-and-Without-a-Nonpositively-Curved-Metric-September-24-2026	A Three-Manifold Without Conjugate Points and Without a Nonpositively Curved Metric	OpenAI	September 24, 2026	358	A three-manifold without conjugate points or nonpositive curvature	True	current (in CONTENTS.md)	preprints/A-Three-Manifold-Without-Conjugate-Points-and-Without-a-Nonpositively-Curved-Metric-September-24-2026/paper.pdf
A-Torsion-Free-Counterexample-to-Reduced-Baum-Connes-Injectivity-September-23-2026	A torsion-free counterexample to reduced Baum–Connes injectivity	OpenAI	September 23, 2026	285	Counterexamples to Baum–Connes and Kadison–Kaplansky	False	current (in CONTENTS.md)	preprints/A-Torsion-Free-Counterexample-to-Reduced-Baum-Connes-Injectivity-September-23-2026/paper.pdf
A-Torsion-Free-Counterexample-to-the-Kadison-Kaplansky-Projection-Conjecture-September-23-2026	A torsion-free counterexample to the Kadison–Kaplansky projection conjecture	OpenAI	September 23, 2026	285	Counterexamples to Baum–Connes and Kadison–Kaplansky	False	current (in CONTENTS.md)	preprints/A-Torsion-Free-Counterexample-to-the-Kadison-Kaplansky-Projection-Conjecture-September-23-2026/paper.pdf
A-Torsion-Free-Group-Algebra-That-Is-Not-Directly-Finite-October-4-2026	A Torsion-Free Group Algebra That Is Not Directly Finite	OpenAI	October 4, 2026 (from directory name)	197	A torsion-free group algebra that is not directly finite	True	current (in CONTENTS.md)	preprints/A-Torsion-Free-Group-Algebra-That-Is-Not-Directly-Finite-October-4-2026/direct-finiteness.pdf
A-Torsion-Free-Group-Algebra-with-Zero-Divisors-September-23-2026	A Torsion-Free Group Algebra with Zero Divisors	OpenAI	September 23, 2026	196	A counterexample to Kaplansky’s zero-divisor conjecture	True	current (in CONTENTS.md)	preprints/A-Torsion-Free-Group-Algebra-with-Zero-Divisors-September-23-2026/paper.pdf
A-boundary-field-gap-for-the-spin-one-Heisenberg-chain-September-24-2026	A boundary-field gap for the spin-one Heisenberg chain	OpenAI	September 24, 2026	268	The spin-one Haldane gap	False	current (in CONTENTS.md)	preprints/A-boundary-field-gap-for-the-spin-one-Heisenberg-chain-September-24-2026/paper.pdf
A-boundary-only-obstruction-to-four-dimensional-disk-embedding-September-24-2026	A boundary-only obstruction to four-dimensional disk embedding	OpenAI	September 24, 2026	305	Four-dimensional disk embedding and Wall's conjecture	False	current (in CONTENTS.md)	preprints/A-boundary-only-obstruction-to-four-dimensional-disk-embedding-September-24-2026/paper.pdf
A-classification-of-finite-Euclidean-Ramsey-configurations-September-23-2026	A classification of finite Euclidean Ramsey configurations	OpenAI	September 23, 2026	172	Classification of finite Euclidean Ramsey configurations	True	current (in CONTENTS.md)	preprints/A-classification-of-finite-Euclidean-Ramsey-configurations-September-23-2026/paper.pdf
A-closed-Ricci-flow-with-bounded-scalar-curvature-and-finite-time-curvature-blowup-September-24-2026	A closed Ricci flow with bounded scalar curvature and finite-time curvature blowup	OpenAI	September 24, 2026 (from directory name)	351	Scalar curvature and finite-time Ricci-flow singularities	False	current (in CONTENTS.md)	preprints/A-closed-Ricci-flow-with-bounded-scalar-curvature-and-finite-time-curvature-blowup-September-24-2026/paper.pdf
A-conditional-abelianity-theorem-for-special-fourfold-pairs-with-a-half-weight-divisor-October-5-2026	A conditional abelianity theorem for special fourfold pairs with a half-weight divisor	OpenAI	October 5, 2026	057	Fundamental groups of special complex varieties and root orbifolds	False	current (in CONTENTS.md)	preprints/A-conditional-abelianity-theorem-for-special-fourfold-pairs-with-a-half-weight-divisor-October-5-2026/main.pdf
A-continuum-temperature-singularity-for-a-radial-pair-potential-September-24-2026	A continuum temperature singularity for a radial pair potential	OpenAI	September 24, 2026 (from directory name)	228	Continuum phase transitions for radial pair potentials	True	current (in CONTENTS.md)	preprints/A-continuum-temperature-singularity-for-a-radial-pair-potential-September-24-2026/paper.pdf
A-counterexample-to-Hadwigers-conjecture-September-23-2026	A counterexample to Hadwiger's conjecture	OpenAI	September 23, 2026	157	Graph coloring, clique minors, and Colin de Verdière invariants	True	current (in CONTENTS.md)	preprints/A-counterexample-to-Hadwigers-conjecture-September-23-2026/paper.pdf
A-counterexample-to-Kaplanskys-quasitrace-conjecture-September-23-2026	A counterexample to Kaplansky's quasitrace conjecture and failure of tensor-product stable finiteness	OpenAI	September 23, 2026	294	Kaplansky's quasitrace conjecture and failure of tensor-product stable finiteness	True	current (in CONTENTS.md)	preprints/A-counterexample-to-Kaplanskys-quasitrace-conjecture-September-23-2026/paper.pdf
A-counterexample-to-Naimarks-problem-in-ZFC-September-24-2026	A counterexample to Naimark's problem in ZFC	OpenAI	September 24, 2026	297	A ZFC counterexample to Naimark's problem	True	current (in CONTENTS.md)	preprints/A-counterexample-to-Naimarks-problem-in-ZFC-September-24-2026/naimark-counterexample-zfc.pdf
A-counterexample-to-Sidorenkos-conjecture-September-23-2026	A counterexample to Sidorenko's conjecture	OpenAI	September 23, 2026	161	Counterexamples to Sidorenko’s conjecture and the forcing conjecture	True	current (in CONTENTS.md)	preprints/A-counterexample-to-Sidorenkos-conjecture-September-23-2026/paper.pdf
A-counterexample-to-Tachikawas-second-conjecture-September-23-2026	A counterexample to Tachikawa's second conjecture	OpenAI	September 23, 2026	199	Counterexamples to Auslander–Reiten, Tachikawa and related homological conjectures	True	current (in CONTENTS.md)	preprints/A-counterexample-to-Tachikawas-second-conjecture-September-23-2026/paper.pdf
A-counterexample-to-integer-degree-harmonic-dimension-comparison-September-25-2026	A counterexample to integer-degree harmonic dimension comparison	OpenAI	September 25, 2026	361	Failure of integer-degree harmonic dimension comparison	True	current (in CONTENTS.md)	preprints/A-counterexample-to-integer-degree-harmonic-dimension-comparison-September-25-2026/paper.pdf
A-counterexample-to-the-Colin-de-Verdiere-chromatic-conjecture-September-23-2026	A counterexample to the Colin de Verdière chromatic conjecture	OpenAI	September 23, 2026	157	Graph coloring, clique minors, and Colin de Verdière invariants	True	current (in CONTENTS.md)	preprints/A-counterexample-to-the-Colin-de-Verdiere-chromatic-conjecture-September-23-2026/paper.pdf
A-counterexample-to-the-Monge-ansatz-for-the-three-marginal-Coulomb-cost-September-25-2026	A counterexample to the Monge ansatz for the three-marginal Coulomb cost	OpenAI	September 25, 2026	373	Nonattainment of the three-marginal Coulomb Monge problem	True	current (in CONTENTS.md)	preprints/A-counterexample-to-the-Monge-ansatz-for-the-three-marginal-Coulomb-cost-September-25-2026/paper.pdf
A-counterexample-to-the-coarse-Novikov-conjecture-September-23-2026	A counterexample to the coarse Novikov conjecture	OpenAI	September 23, 2026	307	Failure of rational injectivity for maximal coarse assembly	True	current (in CONTENTS.md)	preprints/A-counterexample-to-the-coarse-Novikov-conjecture-September-23-2026/paper.pdf
A-counterexample-to-the-nearby-Lagrangian-conjecture-September-23-2026	A counterexample to the nearby Lagrangian conjecture	OpenAI	September 23, 2026	340	A counterexample to the nearby Lagrangian conjecture	False	current (in CONTENTS.md)	preprints/A-counterexample-to-the-nearby-Lagrangian-conjecture-September-23-2026/paper.pdf
A-cubic-lower-bound-for-border-determinantal-complexity-of-the-permanent-September-24-2026	A cubic lower bound for border determinantal complexity of the permanent	OpenAI	September 24, 2026	108	A cubic permanent–determinant lower bound	True	current (in CONTENTS.md)	preprints/A-cubic-lower-bound-for-border-determinantal-complexity-of-the-permanent-September-24-2026/A-cubic-lower-bound-for-border-determinantal-complexity-of-the-permanent-September-24-2026.pdf
A-degenerate-counterexample-to-the-critical-number-Arnold-bound-September-23-2026	Three fixed points on the symplectic quadric threefold	OpenAI	September 23, 2026	347	Counterexamples to stable-Morse and strong Arnold fixed-point bounds	True	current (in CONTENTS.md)	preprints/A-degenerate-counterexample-to-the-critical-number-Arnold-bound-September-23-2026/paper.pdf
A-density-uniform-condensate-bound-for-dilute-Bose-gases-September-27-2026	A density-uniform condensate bound for dilute Bose gases	OpenAI	September 27, 2026 (from directory name)	267	Positive-temperature Bose–Einstein condensation and exact quantum depletion	True	current (in CONTENTS.md)	preprints/A-density-uniform-condensate-bound-for-dilute-Bose-gases-September-27-2026/paper.pdf
A-dimension-free-logarithmic-Sobolev-inequality-for-subgaussian-log-concave-measures-September-23-2026	A dimension-free logarithmic Sobolev inequality for subgaussian log-concave measures	OpenAI	September 23, 2026	093	Dimension-free logarithmic Sobolev inequality for subgaussian log-concave measures	False	current (in CONTENTS.md)	preprints/A-dimension-free-logarithmic-Sobolev-inequality-for-subgaussian-log-concave-measures-September-23-2026/paper.pdf
A-direct-proof-of-the-complete-Crouzeix-inequality-September-26-2026	A direct proof of the complete Crouzeix inequality	OpenAI	September 26, 2026	325	The complete Crouzeix conjecture	True	current (in CONTENTS.md)	preprints/A-direct-proof-of-the-complete-Crouzeix-inequality-September-26-2026/paper.pdf
A-directional-zero-one-law-for-finite-range-dependent-random-environments-October-5-2026	A directional zero-one law for finite-range-dependent random environments	OpenAI	October 5, 2026	220	Directional zero–one laws beyond iid environments and iid ballisticity	True	current (in CONTENTS.md)	preprints/A-directional-zero-one-law-for-finite-range-dependent-random-environments-October-5-2026/directional-zero-one-finite-range.pdf
A-directional-zero-one-law-under-strict-ellipticity-September-23-2026	A directional zero–one law under strict ellipticity	OpenAI	September 23, 2026	220	Directional zero–one laws beyond iid environments and iid ballisticity	True	current (in CONTENTS.md)	preprints/A-directional-zero-one-law-under-strict-ellipticity-September-23-2026/paper.pdf
A-doubling-Hilbert-subset-with-no-finite-dimensional-bi-Lipschitz-embedding-September-25-2026	A doubling Hilbert subset with no finite-dimensional bi-Lipschitz embedding	OpenAI	September 25, 2026	098	Compact counterexamples to bi-Lipschitz dimension reduction	True	current (in CONTENTS.md)	preprints/A-doubling-Hilbert-subset-with-no-finite-dimensional-bi-Lipschitz-embedding-September-25-2026/main.pdf
A-finite-Smith-Toda-complex-V4-at-the-prime-1009-September-23-2026	A finite Smith–Toda complex V(4) at the prime 1009	OpenAI	September 23, 2026	308	Finite Smith–Toda complexes at every height	False	current (in CONTENTS.md)	preprints/A-finite-Smith-Toda-complex-V4-at-the-prime-1009-September-23-2026/paper.pdf
A-finite-entropy-separation-of-microstates-and-nonmicrostates-free-entropy-September-25-2026	A finite-entropy separation of microstates and nonmicrostates free entropy	OpenAI	September 25, 2026	298	Two notions of free entropy differ even when both are finite	True	current (in CONTENTS.md)	preprints/A-finite-entropy-separation-of-microstates-and-nonmicrostates-free-entropy-September-25-2026/paper.pdf
A-finite-entropy-system-without-a-smooth-positive-volume-model-September-25-2026	A zero-entropy system without a smooth positive-volume model	OpenAI	September 25, 2026 (from directory name)	152	Zero entropy does not guarantee a smooth positive-volume model	True	current (in CONTENTS.md)	preprints/A-finite-entropy-system-without-a-smooth-positive-volume-model-September-25-2026/paper.pdf
A-finite-time-singularity-of-Calabi-flow-on-projective-space-September-24-2026	A finite-time singularity of Calabi flow on projective space	OpenAI	September 24, 2026	352	A finite-time singularity of Calabi flow	False	current (in CONTENTS.md)	preprints/A-finite-time-singularity-of-Calabi-flow-on-projective-space-September-24-2026/paper.pdf
A-finitely-generated-counterexample-to-the-Eilenberg-Ganea-conjecture-September-23-2026	A finitely generated counterexample to the Eilenberg–Ganea conjecture	OpenAI	September 23, 2026	249	A finitely generated Eilenberg–Ganea counterexample	True	current (in CONTENTS.md)	preprints/A-finitely-generated-counterexample-to-the-Eilenberg-Ganea-conjecture-September-23-2026/paper.pdf
A-group-without-fixed-price-October-5-2026	A group without fixed price	OpenAI	October 5, 2026	259	A group without fixed price	False	current (in CONTENTS.md)	preprints/A-group-without-fixed-price-October-5-2026/unequal-costs-rank-100-amalgam.pdf
A-high-arity-counterexample-to-Pixton-completeness-in-Chow-September-24-2026	A high-arity counterexample to Pixton completeness in Chow	OpenAI	September 24, 2026	053	A counterexample to Pixton completeness in Chow	False	current (in CONTENTS.md)	preprints/A-high-arity-counterexample-to-Pixton-completeness-in-Chow-September-24-2026/paper.pdf
A-hyperbolic-group-with-no-geometric-CAT0-action-September-25-2026	A hyperbolic group with no geometric CAT(0) action	OpenAI	September 25, 2026	257	A hyperbolic group without a geometric CAT(0) action	True	current (in CONTENTS.md)	preprints/A-hyperbolic-group-with-no-geometric-CAT0-action-September-25-2026/paper.pdf
A-latest-anchor-induction-with-spectrally-compact-masks-for-worst-case-trace-reconstruction-October-5-2026	A latest-anchor induction with spectrally compact masks for worst-case trace reconstruction	OpenAI	October 5, 2026	122	Quantitative trace-reconstruction bounds with a uniform decoder	True	current (in CONTENTS.md)	preprints/A-latest-anchor-induction-with-spectrally-compact-masks-for-worst-case-trace-reconstruction-October-5-2026/paper.pdf
A-linear-cycle-and-edge-decomposition-of-every-graph-September-24-2026	A linear cycle-and-edge decomposition of every graph	OpenAI	September 24, 2026	181	The Erdős–Gallai cycle-decomposition conjecture	True	current (in CONTENTS.md)	preprints/A-linear-cycle-and-edge-decomposition-of-every-graph-September-24-2026/main.pdf
A-linear-list-coloring-bound-in-terms-of-the-Hadwiger-number-September-23-2026	A linear list-coloring bound in terms of the Hadwiger number	OpenAI	September 23, 2026	157	Graph coloring, clique minors, and Colin de Verdière invariants	True	current (in CONTENTS.md)	preprints/A-linear-list-coloring-bound-in-terms-of-the-Hadwiger-number-September-23-2026/paper.pdf
A-local-Penrose-inequality-for-conformal-perturbations-of-Schwarzschild-anti-de-Sitter-data-October-5-2026	A local Penrose inequality for conformal perturbations of Schwarzschild–anti-de Sitter data	OpenAI	October 5, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/A-local-Penrose-inequality-for-conformal-perturbations-of-Schwarzschild-anti-de-Sitter-data-October-5-2026/paper.pdf
A-marked-tensor-obstruction-to-four-dimensional-disk-embedding-September-24-2026	A marked tensor obstruction to four-dimensional disk embedding	OpenAI	September 24, 2026	305	Four-dimensional disk embedding and Wall's conjecture	False	current (in CONTENTS.md)	preprints/A-marked-tensor-obstruction-to-four-dimensional-disk-embedding-September-24-2026/paper.pdf
A-negatively-pinched-Kahler-threefold-without-bounded-holomorphic-coordinates-September-25-2026	A negatively pinched Kähler threefold without bounded holomorphic coordinates	OpenAI	September 25, 2026 (from directory name)	359	Negative Kähler curvature without bounded holomorphic coordinates	True	current (in CONTENTS.md)	preprints/A-negatively-pinched-Kahler-threefold-without-bounded-holomorphic-coordinates-September-25-2026/paper.pdf
A-nine-dimensional-counterexample-to-Borsuks-covering-assertion-September-23-2026	A nine-dimensional counterexample to Borsuk's covering assertion	OpenAI	September 23, 2026	156	Borsuk's conjecture fails in dimension nine	True	current (in CONTENTS.md)	preprints/A-nine-dimensional-counterexample-to-Borsuks-covering-assertion-September-23-2026/paper.pdf
A-nondegenerate-counterexample-to-the-Morse-number-Arnold-bound-September-23-2026	A nondegenerate counterexample to the Morse-number Arnold bound	OpenAI	September 23, 2026	347	Counterexamples to stable-Morse and strong Arnold fixed-point bounds	True	current (in CONTENTS.md)	preprints/A-nondegenerate-counterexample-to-the-Morse-number-Arnold-bound-September-23-2026/paper.pdf
A-pointwise-2-converse-for-elliptic-curves-with-rational-two-torsion-October-7-2026	A pointwise 2-converse for elliptic curves with rational two-torsion	OpenAI	October 7, 2026	004	Hilbert’s tenth problem over ℚ	False	current (in CONTENTS.md)	preprints/A-pointwise-2-converse-for-elliptic-curves-with-rational-two-torsion-October-7-2026/paper.pdf
A-pointwise-2-converse-for-elliptic-curves-with-rational-two-torsion-September-24-2026	A pointwise 2-converse for elliptic curves with rational two-torsion	OpenAI	September 24, 2026				previous version, superseded by A-pointwise-2-converse-for-elliptic-curves-with-rational-two-torsion-October-7-2026	preprints/A-pointwise-2-converse-for-elliptic-curves-with-rational-two-torsion-September-24-2026/paper.pdf
A-polynomial-time-algorithm-for-three-machine-unit-job-scheduling-September-24-2026	A Polynomial-Time Algorithm for Three-Machine Unit-Job Scheduling	OpenAI	September 24, 2026 (from directory name)	124	Polynomial-time scheduling on three identical machines	True	current (in CONTENTS.md)	preprints/A-polynomial-time-algorithm-for-three-machine-unit-job-scheduling-September-24-2026/paper.pdf
A-polynomial-time-construction-of-strong-thin-trees-September-23-2026	A polynomial-time construction of strong thin trees	OpenAI	September 23, 2026	174	Deterministic construction of strong thin spanning trees	True	current (in CONTENTS.md)	preprints/A-polynomial-time-construction-of-strong-thin-trees-September-23-2026/paper.pdf
A-positive-solution-to-Tingleys-problem-September-23-2026	A positive solution to Tingley's problem	OpenAI	September 23, 2026	322	Tingley’s sphere-isometry problem	True	current (in CONTENTS.md)	preprints/A-positive-solution-to-Tingleys-problem-September-23-2026/paper.pdf
A-power-improvement-in-the-Heilbronn-triangle-lower-bound-September-25-2026	A power improvement in the Heilbronn triangle lower bound	OpenAI	September 25, 2026 (from directory name)	191	A power improvement in the Heilbronn triangle lower bound	True	current (in CONTENTS.md)	preprints/A-power-improvement-in-the-Heilbronn-triangle-lower-bound-September-25-2026/main.pdf
A-power-saving-for-intersective-polynomial-differences-with-an-exponent-depending-only-on-the-degree-October-5-2026	A power saving for intersective polynomial differences with an exponent depending only on the degree	OpenAI	October 5, 2026	182	Power savings for intersective polynomial differences and prime arguments	True	current (in CONTENTS.md)	preprints/A-power-saving-for-intersective-polynomial-differences-with-an-exponent-depending-only-on-the-degree-October-5-2026/power-saving-intersective-polynomial-differences.pdf
A-power-saving-for-planar-halving-lines-September-25-2026	A power saving for planar halving lines	OpenAI	September 25, 2026	183	Power savings for planar halving lines and k-sets	True	current (in CONTENTS.md)	preprints/A-power-saving-for-planar-halving-lines-September-25-2026/main.pdf
A-power-saving-for-planar-unit-distances-September-23-2026	A power saving for planar unit distances	OpenAI	September 23, 2026	167	Planar distinct distances and unit-distance bounds	True	current (in CONTENTS.md)	preprints/A-power-saving-for-planar-unit-distances-September-23-2026/paper.pdf
A-power-saving-for-square-difference-free-sets-September-24-2026	A power saving for square-difference-free sets	OpenAI	September 24, 2026 (from directory name)	182	Power savings for intersective polynomial differences and prime arguments	True	current (in CONTENTS.md)	preprints/A-power-saving-for-square-difference-free-sets-September-24-2026/paper.pdf
A-product-counterexample-to-the-simplex-maximum-for-projection-body-volume-September-24-2026	A product counterexample to the simplex maximum for projection-body volume	OpenAI	September 24, 2026	088	Sharp projection-body inequalities and a counterexample to simplex maximization	True	current (in CONTENTS.md)	preprints/A-product-counterexample-to-the-simplex-maximum-for-projection-body-volume-September-24-2026/paper.pdf
A-projective-fourfold-with-large-fundamental-group-and-non-Stein-universal-cover-October-5-2026	A projective fourfold with large fundamental group and non-Stein universal cover	OpenAI	October 5, 2026	046	Shafarevich counterexamples in dimension two and with large fundamental group	False	current (in CONTENTS.md)	preprints/A-projective-fourfold-with-large-fundamental-group-and-non-Stein-universal-cover-October-5-2026/large-fundamental-group-non-stein.pdf
A-proof-of-Seymours-second-neighborhood-conjecture-September-23-2026	A proof of Seymour’s second-neighborhood conjecture	OpenAI	September 23, 2026	173	Seymour’s second-neighborhood conjecture	True	current (in CONTENTS.md)	preprints/A-proof-of-Seymours-second-neighborhood-conjecture-September-23-2026/paper.pdf
A-quadratic-bound-for-Jacobsthals-function-September-25-2026	A quadratic bound for Jacobsthal's function	OpenAI	September 25, 2026 (from directory name)	021	A quadratic bound for Jacobsthal’s function	True	current (in CONTENTS.md)	preprints/A-quadratic-bound-for-Jacobsthals-function-September-25-2026/paper.pdf
A-radial-continuum-phase-transition-with-algebraic-decay-September-24-2026	A radial continuum phase transition with algebraic decay	OpenAI	September 24, 2026 (from directory name)	228	Continuum phase transitions for radial pair potentials	True	current (in CONTENTS.md)	preprints/A-radial-continuum-phase-transition-with-algebraic-decay-September-24-2026/paper.pdf
A-rational-obstruction-to-strong-chromatic-splitting-at-height-three-September-25-2026	A rational obstruction to strong chromatic splitting at height three	OpenAI	September 25, 2026	318	Chromatic splitting: filtrations and counterexamples	False	current (in CONTENTS.md)	preprints/A-rational-obstruction-to-strong-chromatic-splitting-at-height-three-September-25-2026/paper.pdf
A-sharp-Fourier-certificate-for-planar-circle-packing-September-23-2026	A sharp Fourier certificate for planar circle packing	OpenAI	September 23, 2026 (from directory name)	090	Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energy	True	current (in CONTENTS.md)	preprints/A-sharp-Fourier-certificate-for-planar-circle-packing-September-23-2026/paper.pdf
A-sharp-entropy-bound-and-the-simplex-inequality-for-isotropic-constants-October-5-2026	A sharp entropy bound and the simplex inequality for isotropic constants	OpenAI	October 5, 2026	101	The sharp simplex conjecture for isotropic constants	False	current (in CONTENTS.md)	preprints/A-sharp-entropy-bound-and-the-simplex-inequality-for-isotropic-constants-October-5-2026/isotropic-simplex.pdf
A-single-lattice-covering-bound-of-order-n-log-n-September-23-2026	A single-lattice covering bound of order n log n	OpenAI	September 23, 2026	092	The optimal order of convex-body covering density	True	current (in CONTENTS.md)	preprints/A-single-lattice-covering-bound-of-order-n-log-n-September-23-2026/paper.pdf
A-singular-normal-affine-surface-with-free-tangent-sheaf-September-23-2026	A singular normal affine surface with free tangent sheaf	OpenAI	September 23, 2026	048	A characteristic-zero counterexample to Lipman–Zariski	False	current (in CONTENTS.md)	preprints/A-singular-normal-affine-surface-with-free-tangent-sheaf-September-23-2026/paper.pdf
A-smooth-three-torus-diffeomorphism-with-simple-Lebesgue-spectrum-September-23-2026	A smooth three-torus diffeomorphism with simple Lebesgue spectrum	OpenAI	September 23, 2026	144	Banach’s simple Lebesgue-spectrum problem	True	current (in CONTENTS.md)	preprints/A-smooth-three-torus-diffeomorphism-with-simple-Lebesgue-spectrum-September-23-2026/paper.pdf
A-spectral-gap-throughout-the-high-temperature-Sherrington-Kirkpatrick-phase-September-24-2026	A spectral gap throughout the high-temperature Sherrington–Kirkpatrick phase	OpenAI	September 24, 2026	227	Critical SK autocorrelation processes and dynamics across the temperature transition	True	current (in CONTENTS.md)	preprints/A-spectral-gap-throughout-the-high-temperature-Sherrington-Kirkpatrick-phase-September-24-2026/main.pdf
A-stable-coordinate-that-is-not-a-coordinate-in-four-variables-October-5-2026	A stable coordinate that is not a coordinate in four variables	OpenAI	October 5, 2026	049	A stable-coordinate counterexample in four variables	True	current (in CONTENTS.md)	preprints/A-stable-coordinate-that-is-not-a-coordinate-in-four-variables-October-5-2026/stable-coordinate-four-variables.pdf
A-strict-four-row-permanent-inequality-and-permutation-moments-September-26-2026	A strict four-row permanent inequality and permutation moments	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/A-strict-four-row-permanent-inequality-and-permutation-moments-September-26-2026/main.pdf
A-strict-inverse-first-power-bound-for-univalent-functions-September-24-2026	A strict inverse-first-power bound for univalent functions	OpenAI	September 24, 2026	072	Brennan's conjecture and the integral-means spectrum	True	current (in CONTENTS.md)	preprints/A-strict-inverse-first-power-bound-for-univalent-functions-September-24-2026/paper.pdf
A-superquadratic-separation-between-sensitivity-and-block-sensitivity-September-25-2026	A superquadratic separation between sensitivity and block sensitivity	OpenAI	September 25, 2026	132	A superquadratic separation of sensitivity and block sensitivity	True	current (in CONTENTS.md)	preprints/A-superquadratic-separation-between-sensitivity-and-block-sensitivity-September-25-2026/paper.pdf
A-surface-counterexample-to-Shafarevich-holomorphic-convexity-September-23-2026	A surface counterexample to Shafarevich holomorphic convexity	OpenAI	September 23, 2026	046	Shafarevich counterexamples in dimension two and with large fundamental group	False	current (in CONTENTS.md)	preprints/A-surface-counterexample-to-Shafarevich-holomorphic-convexity-September-23-2026/paper.pdf
A-translational-tile-with-no-fully-periodic-tiling-in-dimension-three-September-23-2026	A translational tile with no fully periodic tiling in dimension three	OpenAI	September 23, 2026	155	A counterexample to periodic tiling in dimension three	True	current (in CONTENTS.md)	preprints/A-translational-tile-with-no-fully-periodic-tiling-in-dimension-three-September-23-2026/paper.pdf
A-two-dimensional-area-law-from-a-global-spectral-gap-September-24-2026	A two-dimensional area law from a global spectral gap	OpenAI	September 24, 2026	265	Area laws and tensor networks for two-dimensional gapped systems	False	current (in CONTENTS.md)	preprints/A-two-dimensional-area-law-from-a-global-spectral-gap-September-24-2026/paper.pdf
A-typical-start-upper-bound-for-low-temperature-SK-Glauber-dynamics-September-24-2026	A typical-start upper bound for low-temperature SK Glauber dynamics	OpenAI	September 24, 2026	227	Critical SK autocorrelation processes and dynamics across the temperature transition	True	current (in CONTENTS.md)	preprints/A-typical-start-upper-bound-for-low-temperature-SK-Glauber-dynamics-September-24-2026/paper.pdf
A-uniform-Hilbert-transform-estimate-for-Lipschitz-directions-September-25-2026	A uniform Hilbert transform estimate for Lipschitz directions	OpenAI	September 25, 2026	083	Hilbert transforms along Lipschitz directions	True	current (in CONTENTS.md)	preprints/A-uniform-Hilbert-transform-estimate-for-Lipschitz-directions-September-25-2026/main.pdf
A-uniform-influence-bound-for-hypergraph-properties-October-5-2026	A uniform influence bound for hypergraph properties	OpenAI	October 5, 2026	186	Uniform influence and sharp thresholds for graph and hypergraph properties	True	current (in CONTENTS.md)	preprints/A-uniform-influence-bound-for-hypergraph-properties-October-5-2026/hypergraph-influences.pdf
A-universal-group-of-type-F-infinity-September-23-2026	A universal group of type F∞	OpenAI	September 23, 2026 (from directory name)	250	Boone–Higman embeddings with higher finiteness	True	current (in CONTENTS.md)	preprints/A-universal-group-of-type-F-infinity-September-23-2026/paper.pdf
Abelian-covers-Gale-correspondences-and-the-Hodge-conjecture-for-powers-October-6-2026	Abelian covers, Gale correspondences, and the Hodge conjecture for powers	OpenAI	October 6, 2026	032	The rational Hodge conjecture for CM abelian varieties	False	current (in CONTENTS.md)	preprints/Abelian-covers-Gale-correspondences-and-the-Hodge-conjecture-for-powers-October-6-2026/paper.pdf
Abelian-covers-Gale-correspondences-and-the-Hodge-conjecture-for-powers-September-30-2026	Abelian covers, Gale correspondences, and the Hodge conjecture for powers	OpenAI	September 30, 2026				previous version, superseded by Abelian-covers-Gale-correspondences-and-the-Hodge-conjecture-for-powers-October-6-2026	preprints/Abelian-covers-Gale-correspondences-and-the-Hodge-conjecture-for-powers-September-30-2026/paper.pdf
Absolutely-Continuous-Spectrum-for-Weak-Disorder-Anderson-Models-in-Dimensions-at-Least-Three-September-23-2026	Absolutely Continuous Spectrum for Weak-Disorder Anderson Models in Dimensions at Least Three	OpenAI	September 23, 2026	261	Localization and delocalization in the Anderson model	True	current (in CONTENTS.md)	preprints/Absolutely-Continuous-Spectrum-for-Weak-Disorder-Anderson-Models-in-Dimensions-at-Least-Three-September-23-2026/paper.pdf
Abundance-after-nonvanishing-for-compact-Kahler-fourfolds-September-27-2026	Abundance after nonvanishing for compact Kähler fourfolds	OpenAI	September 27, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Abundance-after-nonvanishing-for-compact-Kahler-fourfolds-September-27-2026/paper.pdf
Abundance-in-numerical-dimension-one-for-terminal-threefolds-in-positive-characteristic-September-24-2026	Abundance in numerical dimension one for terminal threefolds in positive characteristic	OpenAI	September 24, 2026	035	Log-canonical threefold abundance in numerical dimension one	False	current (in CONTENTS.md)	preprints/Abundance-in-numerical-dimension-one-for-terminal-threefolds-in-positive-characteristic-September-24-2026/paper.pdf
Additive-hardness-and-unbounded-configuration-gaps-in-bin-packing-September-24-2026	Additive hardness and unbounded configuration gaps in bin packing	OpenAI	September 24, 2026	118	Bin packing and unbounded configuration-LP gaps	True	current (in CONTENTS.md)	preprints/Additive-hardness-and-unbounded-configuration-gaps-in-bin-packing-September-24-2026/Additive-hardness-and-unbounded-configuration-gaps-in-bin-packing-September-24-2026.pdf
Algebraic-Kuga-Satake-correspondences-and-Hodge-conjectures-on-a-K3-quadratic-locus-September-30-2026	Algebraic Kuga–Satake correspondences and Hodge conjectures on a K3 quadratic locus	OpenAI	September 30, 2026	032	The rational Hodge conjecture for CM abelian varieties	False	current (in CONTENTS.md)	preprints/Algebraic-Kuga-Satake-correspondences-and-Hodge-conjectures-on-a-K3-quadratic-locus-September-30-2026/paper.pdf
Algebraicity-of-Kuga-Satake-Correspondences-for-K3-Surfaces-October-3-2026	Algebraicity of Kuga-Satake Correspondences for K3 Surfaces	OpenAI	October 6, 2026				withdrawn 2026-10-06 (notice in place; pre-withdrawal manuscript at adc7f124, seated under original-adc7f124/)	preprints/Algebraicity-of-Kuga-Satake-Correspondences-for-K3-Surfaces-October-3-2026/manuscript.pdf
Algebraicity-of-Weil-classes-on-split-abelian-eightfolds-September-18-2026	Algebraicity of Weil classes on split abelian eightfolds	OpenAI	October 6, 2026				withdrawn 2026-10-06 (notice in place; pre-withdrawal manuscript at adc7f124, seated under original-adc7f124/)	preprints/Algebraicity-of-Weil-classes-on-split-abelian-eightfolds-September-18-2026/paper.pdf
All-temperature-pressure-for-orthogonally-invariant-Ising-spin-glasses-September-25-2026	All-temperature pressure for orthogonally invariant Ising spin glasses	OpenAI	September 25, 2026	234	All-temperature pressure of orthogonally invariant Ising spin glasses	True	current (in CONTENTS.md)	preprints/All-temperature-pressure-for-orthogonally-invariant-Ising-spin-glasses-September-25-2026/paper.pdf
Almost-Linear-Time-Maximum-Cardinality-Matching-in-Sparse-General-Graphs-September-24-2026	Almost-Linear-Time Maximum-Cardinality Matching in General Graphs	OpenAI	September 24, 2026	120	Almost-linear-time exact matching and prescribed-degree factors in general graphs	False	current (in CONTENTS.md)	preprints/Almost-Linear-Time-Maximum-Cardinality-Matching-in-Sparse-General-Graphs-September-24-2026/main.pdf
Almost-everywhere-Fourier-convergence-in-L-log-L-September-23-2026	Almost-everywhere Fourier convergence in $L\log L$	OpenAI	September 23, 2026	075	The $`L\log L`$ Fourier-convergence conjecture	True	current (in CONTENTS.md)	preprints/Almost-everywhere-Fourier-convergence-in-L-log-L-September-23-2026/paper.pdf
Almost-everywhere-regularity-of-stationary-integral-varifolds-September-23-2026	Almost-everywhere regularity of stationary integral varifolds	OpenAI	September 23, 2026	346	Sharp singular-set bounds for stationary integral varifolds	False	current (in CONTENTS.md)	preprints/Almost-everywhere-regularity-of-stationary-integral-varifolds-September-23-2026/paper.pdf
Ambiently-homeomorphic-isolated-hypersurface-germs-in-C4-with-multiplicities-four-and-five-September-27-2026	Ambiently homeomorphic isolated hypersurface germs in $\mathbb{C}^4$ with multiplicities four and five	OpenAI	September 27, 2026	059	Counterexamples to Zariski’s multiplicity conjecture	False	current (in CONTENTS.md)	preprints/Ambiently-homeomorphic-isolated-hypersurface-germs-in-C4-with-multiplicities-four-and-five-September-27-2026/paper.pdf
Ambiently-homeomorphic-isolated-hypersurfaces-of-multiplicities-two-and-three-September-24-2026	Ambiently homeomorphic isolated hypersurfaces of multiplicities two and three	OpenAI	September 24, 2026	059	Counterexamples to Zariski’s multiplicity conjecture	False	current (in CONTENTS.md)	preprints/Ambiently-homeomorphic-isolated-hypersurfaces-of-multiplicities-two-and-three-September-24-2026/paper.pdf
An-Almost-Linear-Approximation-Scheme-for-Edit-Distance-September-24-2026	An Almost-Linear Approximation Scheme for Edit Distance	OpenAI	September 24, 2026	121	Almost-linear approximation of edit distance	True	current (in CONTENTS.md)	preprints/An-Almost-Linear-Approximation-Scheme-for-Edit-Distance-September-24-2026/paper.pdf
An-Artin-group-with-no-geometric-CAT-0-action-September-23-2026	An Artin group with no geometric CAT(0) action	OpenAI	September 23, 2026	254	Classifying spaces and geometric obstructions for Artin groups	True	current (in CONTENTS.md)	preprints/An-Artin-group-with-no-geometric-CAT-0-action-September-23-2026/paper.pdf
An-Endpoint-Gradient-Bound-for-the-Centered-Disk-Maximal-Operator-September-26-2026	An Endpoint Gradient Bound for the Centered Disk Maximal Operator	OpenAI	September 26, 2026	085	Endpoint Sobolev regularity of centered disk averages	True	current (in CONTENTS.md)	preprints/An-Endpoint-Gradient-Bound-for-the-Centered-Disk-Maximal-Operator-September-26-2026/article.pdf
An-Exact-Semidefinite-Lift-of-a-Nonspectrahedral-Hyperbolicity-Cone-October-5-2026	An Exact Semidefinite Lift of a Nonspectrahedral Hyperbolicity Cone	OpenAI	October 5, 2026	095	Hyperbolicity cones without semidefinite lifts	True	current (in CONTENTS.md)	preprints/An-Exact-Semidefinite-Lift-of-a-Nonspectrahedral-Hyperbolicity-Cone-October-5-2026/Exact-Semidefinite-Lift-of-a-Nonspectrahedral-Hyperbolicity-Cone.pdf
An-FPRAS-for-Cell-Bounded-Contingency-Tables-September-24-2026	An FPRAS for Cell-Bounded Contingency Tables	OpenAI	September 24, 2026	115	Sampling and counting contingency tables with arbitrary margins	True	current (in CONTENTS.md)	preprints/An-FPRAS-for-Cell-Bounded-Contingency-Tables-September-24-2026/main.pdf
An-FPRAS-for-Common-Integer-Polymatroid-Bases-with-Binary-Capacities-October-5-2026	An FPRAS for Common Integer Polymatroid Bases with Binary Capacities	OpenAI	October 5, 2026	114	Approximate counting of common integer polymatroid bases	True	current (in CONTENTS.md)	preprints/An-FPRAS-for-Common-Integer-Polymatroid-Bases-with-Binary-Capacities-October-5-2026/polymatroid-fpras.pdf
An-Infinite-Finitely-Presented-Simple-Amenable-Group-September-23-2026	An infinite finitely presented simple amenable group	OpenAI	September 23, 2026	253	An infinite finitely presented simple amenable group	True	current (in CONTENTS.md)	preprints/An-Infinite-Finitely-Presented-Simple-Amenable-Group-September-23-2026/paper.pdf
An-Integral-Counterexample-to-Gerstens-Conjecture-September-25-2026	An integral counterexample to Gersten's conjecture	OpenAI	September 25, 2026	209	Integral counterexamples to Gersten’s conjecture	False	current (in CONTENTS.md)	preprints/An-Integral-Counterexample-to-Gerstens-Conjecture-September-25-2026/An-Integral-Counterexample-to-Gerstens-Conjecture-September-25-2026.pdf
An-Integral-Degree-Three-Gersten-Counterexample-September-26-2026	An integral degree-three Gersten counterexample	OpenAI	September 26, 2026	209	Integral counterexamples to Gersten’s conjecture	False	current (in CONTENTS.md)	preprints/An-Integral-Degree-Three-Gersten-Counterexample-September-26-2026/paper.pdf
An-Irrational-Trace-Counterexample-to-Reduced-Baum-Connes-September-23-2026	An irrational-trace counterexample to reduced Baum–Connes	OpenAI	September 23, 2026	285	Counterexamples to Baum–Connes and Kadison–Kaplansky	False	current (in CONTENTS.md)	preprints/An-Irrational-Trace-Counterexample-to-Reduced-Baum-Connes-September-23-2026/paper.pdf
An-Isolated-Particle-Pole-for-the-Two-Dimensional-O3-Spin-Field-October-4-2026	An Isolated Particle Pole for the Two-Dimensional O(3) Spin Field	OpenAI	October 4, 2026	215	Canonical $`O(3)`$ continuum limit and exact $`O(4)`$ mass asymptotics	True	current (in CONTENTS.md)	preprints/An-Isolated-Particle-Pole-for-the-Two-Dimensional-O3-Spin-Field-October-4-2026/o3-particle-pole.pdf
An-L2-Einstein-Gap-for-Nonnegatively-Curved-Four-Manifolds-October-5-2026	An $L^2$ Einstein Gap for Nonnegatively Curved Four-Manifolds	OpenAI	October 5, 2026	348	Nonnegative-curvature Einstein classification and an L2 topological gap	True	current (in CONTENTS.md)	preprints/An-L2-Einstein-Gap-for-Nonnegatively-Curved-Four-Manifolds-October-5-2026/einstein-gap.pdf
An-L3-bound-for-the-dyadic-triangular-Hilbert-form-October-5-2026	An L³ bound for the dyadic triangular Hilbert form	OpenAI	October 5, 2026	082	Annular variation and dyadic absolute bounds for the triangular Hilbert transform	True	current (in CONTENTS.md)	preprints/An-L3-bound-for-the-dyadic-triangular-Hilbert-form-October-5-2026/dyadic-triangular-hilbert.pdf
An-L3-bound-for-the-trilinear-Hilbert-transform-October-5-2026	An $L^3$ bound for the trilinear Hilbert transform	OpenAI	October 5, 2026	086	An L3 bound for the trilinear Hilbert transform	False	current (in CONTENTS.md)	preprints/An-L3-bound-for-the-trilinear-Hilbert-transform-October-5-2026/paper.pdf
An-algebra-of-infinite-little-finitistic-dimension-September-23-2026	An algebra of infinite little finitistic dimension	OpenAI	September 23, 2026	198	A counterexample to finitistic-dimension finiteness	True	current (in CONTENTS.md)	preprints/An-algebra-of-infinite-little-finitistic-dimension-September-23-2026/paper.pdf
An-asymptotic-formula-for-the-number-of-totients-September-25-2026	An asymptotic formula for the number of totients	OpenAI	September 25, 2026	024	An asymptotic formula for the number of totients	True	current (in CONTENTS.md)	preprints/An-asymptotic-formula-for-the-number-of-totients-September-25-2026/An-asymptotic-formula-for-the-number-of-totients-September-25-2026.pdf
An-atomic-certificate-for-triangular-lattice-universal-optimality-September-26-2026	An atomic certificate for triangular-lattice universal optimality	OpenAI	September 26, 2026 (from directory name)	090	Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energy	True	current (in CONTENTS.md)	preprints/An-atomic-certificate-for-triangular-lattice-universal-optimality-September-26-2026/paper.pdf
An-exact-Hausdorff-gauge-for-SLE-September-25-2026	An exact Hausdorff gauge for SLE: A moment-integral and finite-batch construction	OpenAI	September 25, 2026 (from directory name)	230	Exact Hausdorff gauges for SLE	True	current (in CONTENTS.md)	preprints/An-exact-Hausdorff-gauge-for-SLE-September-25-2026/An-exact-Hausdorff-gauge-for-SLE-September-25-2026.pdf
An-explicit-counterexample-to-the-Auslander-Reiten-conjecture-September-23-2026	An explicit counterexample to the Auslander-Reiten conjecture	OpenAI	September 23, 2026	199	Counterexamples to Auslander–Reiten, Tachikawa and related homological conjectures	True	current (in CONTENTS.md)	preprints/An-explicit-counterexample-to-the-Auslander-Reiten-conjecture-September-23-2026/paper.pdf
An-explicit-exact-Hausdorff-gauge-for-SLE-September-26-2026	An explicit exact Hausdorff gauge for SLE: A regular formula from quantitative tails and dense visits	OpenAI	September 26, 2026 (from directory name)	230	Exact Hausdorff gauges for SLE	True	current (in CONTENTS.md)	preprints/An-explicit-exact-Hausdorff-gauge-for-SLE-September-26-2026/An-explicit-exact-Hausdorff-gauge-for-SLE-September-26-2026.pdf
An-explicit-failure-of-complex-affine-space-cancellation-September-23-2026	An explicit failure of complex affine-space cancellation	OpenAI	September 23, 2026	047	Zariski cancellation and affine fibrations over the complex numbers	True	current (in CONTENTS.md)	preprints/An-explicit-failure-of-complex-affine-space-cancellation-September-23-2026/paper.pdf
An-explicit-noncoordinate-polynomial-with-affine-three-space-zero-fibre-September-24-2026	An explicit noncoordinate polynomial with affine three-space zero fibre	OpenAI	September 24, 2026	049	A stable-coordinate counterexample in four variables	True	current (in CONTENTS.md)	preprints/An-explicit-noncoordinate-polynomial-with-affine-three-space-zero-fibre-September-24-2026/paper.pdf
An-explicit-obstruction-to-nuclear-norm-ultrapower-embeddings-September-23-2026	An explicit obstruction to nuclear norm-ultrapower embeddings	OpenAI	September 23, 2026	292	Kirchberg's $`\mathcal O_2`$ norm-ultrapower embedding problem	True	current (in CONTENTS.md)	preprints/An-explicit-obstruction-to-nuclear-norm-ultrapower-embeddings-September-23-2026/paper.pdf
An-explicit-power-saving-for-the-exact-discrete-Fourier-transform-September-25-2026	An explicit power saving for the exact discrete Fourier transform	OpenAI	September 25, 2026	130	Exact Fourier transforms below $`n\log n`$	True	current (in CONTENTS.md)	preprints/An-explicit-power-saving-for-the-exact-discrete-Fourier-transform-September-25-2026/main.pdf
An-exponential-state-lower-bound-for-two-way-nondeterministic-complementation-September-25-2026	An exponential state lower bound for two-way nondeterministic complementation	OpenAI	September 25, 2026	129	Exponential state costs for two-way automata	True	current (in CONTENTS.md)	preprints/An-exponential-state-lower-bound-for-two-way-nondeterministic-complementation-September-25-2026/paper.pdf
An-exponential-two-way-deterministic-state-lower-bound-for-one-way-liveness-September-25-2026	An exponential two-way deterministic state lower bound for one-way liveness	OpenAI	September 25, 2026	129	Exponential state costs for two-way automata	True	current (in CONTENTS.md)	preprints/An-exponential-two-way-deterministic-state-lower-bound-for-one-way-liveness-September-25-2026/main.pdf
An-infinite-finitely-presented-periodic-group-September-23-2026	An infinite finitely presented periodic group	OpenAI	September 23, 2026	247	An infinite finitely presented residually finite 2-group and a finitely presented nil algebra	True	current (in CONTENTS.md)	preprints/An-infinite-finitely-presented-periodic-group-September-23-2026/paper.pdf
An-infinite-finitely-presented-residually-finite-2-group-October-5-2026	An infinite finitely presented residually finite 2-group	OpenAI	October 5, 2026	247	An infinite finitely presented residually finite 2-group and a finitely presented nil algebra	True	current (in CONTENTS.md)	preprints/An-infinite-finitely-presented-residually-finite-2-group-October-5-2026/residually-finite-torsion.pdf
An-integral-scalar-curvature-bound-for-real-simplicial-volume-October-5-2026	An integral scalar curvature bound for real simplicial volume	OpenAI	October 5, 2026	335	Gromov’s integral scalar-curvature bound for simplicial volume	False	current (in CONTENTS.md)	preprints/An-integral-scalar-curvature-bound-for-real-simplicial-volume-October-5-2026/v126-proof.pdf
An-isomorphism-of-the-free-group-factors-September-23-2026	An isomorphism of the free group factors	OpenAI	September 23, 2026	287	Isomorphism of the free group factors	True	current (in CONTENTS.md)	preprints/An-isomorphism-of-the-free-group-factors-September-23-2026/An-isomorphism-of-the-free-group-factors-September-23-2026.pdf
An-unconditional-first-moment-for-cubic-Gauss-sums-September-25-2026	An unconditional first moment for cubic Gauss sums	OpenAI	September 25, 2026	023	Patterson's first moment for cubic Gauss sums	True	current (in CONTENTS.md)	preprints/An-unconditional-first-moment-for-cubic-Gauss-sums-September-25-2026/paper.pdf
Annular-variation-of-the-triangular-Hilbert-transform-at-the-symmetric-point-October-5-2026	Annular variation of the triangular Hilbert transform at the symmetric point	OpenAI	October 5, 2026	082	Annular variation and dyadic absolute bounds for the triangular Hilbert transform	True	current (in CONTENTS.md)	preprints/Annular-variation-of-the-triangular-Hilbert-transform-at-the-symmetric-point-October-5-2026/annular-variation.pdf
Anticanonical-nonvanishing-from-smooth-semipositivity-September-26-2026	Anticanonical nonvanishing from smooth semipositivity	OpenAI	September 26, 2026 (from directory name)	068	Anticanonical nonvanishing in every dimension	False	current (in CONTENTS.md)	preprints/Anticanonical-nonvanishing-from-smooth-semipositivity-September-26-2026/main.pdf
Approximate-counting-of-common-bases-of-two-matroids-September-23-2026	Approximate counting of common bases of two matroids	OpenAI	September 23, 2026	114	Approximate counting of common integer polymatroid bases	True	current (in CONTENTS.md)	preprints/Approximate-counting-of-common-bases-of-two-matroids-September-23-2026/main.pdf
Approximation-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026	Approximation Paving over Arbitrary Maximal Abelian Subalgebras	OpenAI	September 25, 2026	300	Approximation and quadratic strong-operator paving	False	current (in CONTENTS.md)	preprints/Approximation-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026/Approximation-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026.pdf
Area-controlled-end-replacement-and-the-Bondi-Penrose-inequality-in-the-CKS-class-September-27-2026	Area-controlled end replacement and the Bondi–Penrose inequality in the CKS class	OpenAI	September 27, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/Area-controlled-end-replacement-and-the-Bondi-Penrose-inequality-in-the-CKS-class-September-27-2026/paper.pdf
Arithmetic-Stein-degree-bounds-for-log-Calabi-Yau-pairs-September-25-2026	Arithmetic Stein-degree bounds for log Calabi–Yau pairs	OpenAI	September 25, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Arithmetic-Stein-degree-bounds-for-log-Calabi-Yau-pairs-September-25-2026/paper.pdf
Arithmetic-classification-and-non-Pisot-singularity-for-Bernoulli-convolutions-October-3-2026	Arithmetic classification and non-Pisot singularity for Bernoulli convolutions	OpenAI	October 3, 2026	153	Arithmetic classification and non-Pisot singularity for Bernoulli convolutions	False	current (in CONTENTS.md)	preprints/Arithmetic-classification-and-non-Pisot-singularity-for-Bernoulli-convolutions-October-3-2026/paper.pdf
Arithmeticity-of-twisted-finite-correspondences-for-lattices-over-local-fields-September-23-2026	Arithmeticity of twisted finite correspondences for lattices over local fields	OpenAI	September 23, 2026	286	Rigidity and arithmetic of lattice von Neumann algebras	False	current (in CONTENTS.md)	preprints/Arithmeticity-of-twisted-finite-correspondences-for-lattices-over-local-fields-September-23-2026/paper.pdf
Asymptotic-midpoint-uniform-convexity-and-unbounded-diamond-distortion-in-a-reflexive-tree-space-September-27-2026	Asymptotic midpoint uniform convexity and unbounded diamond distortion in a reflexive tree space	OpenAI	September 27, 2026 (from directory name)	331	Reflexive midpoint convexity and diamond distortion	True	current (in CONTENTS.md)	preprints/Asymptotic-midpoint-uniform-convexity-and-unbounded-diamond-distortion-in-a-reflexive-tree-space-September-27-2026/manuscript.pdf
Asymptotically-minimal-maxima-of-real-Littlewood-polynomials-September-23-2026	Asymptotically minimal maxima of real Littlewood polynomials	OpenAI	September 23, 2026	076	Real ultraflat Littlewood polynomials and unbounded binary merit factors	True	current (in CONTENTS.md)	preprints/Asymptotically-minimal-maxima-of-real-Littlewood-polynomials-September-23-2026/paper.pdf
Average-Sensitivity-of-Polynomial-Threshold-Functions-September-25-2026	Average sensitivity of polynomial threshold functions	OpenAI	September 25, 2026	127	Average sensitivity of polynomial threshold functions	True	current (in CONTENTS.md)	preprints/Average-Sensitivity-of-Polynomial-Threshold-Functions-September-25-2026/main.pdf
B-semiampleness-for-compact-log-smooth-Kahler-fibrations-September-10-2026	B-semiampleness for compact log-smooth Kähler fibrations	OpenAI	September 10, 2026	033	Iitaka subadditivity, variation, and logarithmic additivity	True	current (in CONTENTS.md)	preprints/B-semiampleness-for-compact-log-smooth-Kahler-fibrations-September-10-2026/paper.pdf
BKT-universality-for-height-and-planar-spin-fields-September-24-2026	BKT universality for height and planar spin fields	OpenAI	September 24, 2026 (from directory name)	216	Critical and near-critical XY scaling and BKT universality	False	current (in CONTENTS.md)	preprints/BKT-universality-for-height-and-planar-spin-fields-September-24-2026/paper.pdf
Backward-intertwiners-and-a-transitive-commutant-September-27-2026	Backward intertwiners and a transitive commutant	OpenAI	September 27, 2026	293	Invariant projections, hyperinvariant subspaces, and transitive algebras	True	current (in CONTENTS.md)	preprints/Backward-intertwiners-and-a-transitive-commutant-September-27-2026/paper.pdf
Balanced-Counterexamples-to-Rysers-Conjecture-at-Prime-Orders-September-27-2026	Balanced counterexamples to Ryser's conjecture at prime orders	OpenAI	September 27, 2026	162	Counterexamples to Ryser’s covering conjecture	True	current (in CONTENTS.md)	preprints/Balanced-Counterexamples-to-Rysers-Conjecture-at-Prime-Orders-September-27-2026/paper.pdf
Baumslag-Solitar-free-one-relator-groups-are-hyperbolic-September-25-2026	Baumslag–Solitar-free one-relator groups are hyperbolic	OpenAI	September 25, 2026	258	Gersten’s conjecture and virtual compact specialness of one-relator groups	False	current (in CONTENTS.md)	preprints/Baumslag-Solitar-free-one-relator-groups-are-hyperbolic-September-25-2026/paper.pdf
Beyond-the-Square-Root-Exponent-for-Depth-Three-Boolean-Circuits-September-23-2026	Beyond the Square-Root Exponent for Depth-Three Boolean Circuits	OpenAI	September 23, 2026	112	Beyond the square-root exponent for depth-three circuits	True	current (in CONTENTS.md)	preprints/Beyond-the-Square-Root-Exponent-for-Depth-Three-Boolean-Circuits-September-23-2026/main.pdf
Bi-Lipschitz-Absorption-of-c0-Without-a-Linear-Copy-of-c0-September-26-2026	Bi-Lipschitz Absorption of $c_0$ Without a Linear Copy of $c_0$	OpenAI	September 26, 2026	324	Lipschitz equivalent Banach spaces need not be linearly isomorphic	True	current (in CONTENTS.md)	preprints/Bi-Lipschitz-Absorption-of-c0-Without-a-Linear-Copy-of-c0-September-26-2026/paper.pdf
Bi-Lipschitz-Coordinates-at-Regular-Points-of-Noncollapsed-RCD-Spaces-September-25-2026	Bi-Lipschitz Coordinates at Regular Points of Noncollapsed RCD Spaces	OpenAI	September 25, 2026 (from directory name)	357	Bi-Lipschitz coordinates at every regular RCD point	False	current (in CONTENTS.md)	preprints/Bi-Lipschitz-Coordinates-at-Regular-Points-of-Noncollapsed-RCD-Spaces-September-25-2026/paper.pdf
Blochs-Conjecture-for-Surfaces-with-pg-equals-q-equals-0-September-24-2026	Bloch’s conjecture for surfaces with p_g=0	OpenAI	September 24, 2026	040	Bloch’s conjecture for complex surfaces	False	current (in CONTENTS.md)	preprints/Blochs-Conjecture-for-Surfaces-with-pg-equals-q-equals-0-September-24-2026/paper.pdf
Blochs-Law-for-Finite-Range-Heisenberg-Ferromagnets-in-Three-Dimensions-October-5-2026	Bloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions	OpenAI	October 5, 2026	271	Bloch's law, its lattice correction, and the spherical magnetization law	True	current (in CONTENTS.md)	preprints/Blochs-Law-for-Finite-Range-Heisenberg-Ferromagnets-in-Three-Dimensions-October-5-2026/bloch-law-heisenberg.pdf
Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026	Bochner–Riesz multipliers in three dimensions	OpenAI	September 24, 2026	078	The three-dimensional Bochner–Riesz conjecture	False	current (in CONTENTS.md)	preprints/Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026/Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026.pdf
Bose-Einstein-condensation-at-positive-temperature-in-the-dilute-hard-sphere-gas-October-5-2026	Bose–Einstein condensation at positive temperature in the dilute hard-sphere gas	OpenAI	October 5, 2026	267	Positive-temperature Bose–Einstein condensation and exact quantum depletion	True	current (in CONTENTS.md)	preprints/Bose-Einstein-condensation-at-positive-temperature-in-the-dilute-hard-sphere-gas-October-5-2026/positive-temperature-hard-spheres.pdf
Boundary-graph-deformations-for-the-spacetime-Penrose-inequality-September-27-2026	Boundary graph deformations for the spacetime Penrose inequality	OpenAI	September 27, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/Boundary-graph-deformations-for-the-spacetime-Penrose-inequality-September-27-2026/paper.pdf
Bounded-Step-Walks-on-Gaussian-Primes-September-26-2026	Bounded-Step Walks on Gaussian Primes	OpenAI	September 26, 2026	028	Uniformly bounded components of Gaussian-prime graphs	True	current (in CONTENTS.md)	preprints/Bounded-Step-Walks-on-Gaussian-Primes-September-26-2026/paper.pdf
Bounded-anticanonical-metrics-on-klt-pairs-and-torus-quotients-September-26-2026	Bounded anticanonical metrics on klt pairs and torus quotients	OpenAI	September 26, 2026 (from directory name)	068	Anticanonical nonvanishing in every dimension	False	current (in CONTENTS.md)	preprints/Bounded-anticanonical-metrics-on-klt-pairs-and-torus-quotients-September-26-2026/main.pdf
Bounded-degree-coboundary-expanders-in-every-dimension-September-24-2026	Bounded-degree coboundary expanders in every dimension	OpenAI	September 24, 2026	177	Bounded-degree coboundary expanders	True	current (in CONTENTS.md)	preprints/Bounded-degree-coboundary-expanders-in-every-dimension-September-24-2026/paper.pdf
Bounded-klt-complements-for-Fano-contractions-September-25-2026	Bounded klt complements for Fano contractions	OpenAI	September 25, 2026	066	Bounded klt complements for Fano contractions	True	current (in CONTENTS.md)	preprints/Bounded-klt-complements-for-Fano-contractions-September-25-2026/Bounded-klt-complements-for-Fano-contractions-September-25-2026.pdf
Bounded-recovery-for-modular-spectral-averages-September-23-2026	Bounded recovery for modular spectral averages	OpenAI	September 23, 2026	290	Relative bicentralizers and modular spectral recovery	True	current (in CONTENTS.md)	preprints/Bounded-recovery-for-modular-spectral-averages-September-23-2026/Bounded-recovery-for-modular-spectral-averages-September-23-2026.pdf
Bounded-scalar-curvature-and-smooth-extension-of-four-dimensional-Ricci-flow-September-24-2026	Bounded scalar curvature and smooth extension of four-dimensional Ricci flow	OpenAI	September 24, 2026 (from directory name)	351	Scalar curvature and finite-time Ricci-flow singularities	False	current (in CONTENTS.md)	preprints/Bounded-scalar-curvature-and-smooth-extension-of-four-dimensional-Ricci-flow-September-24-2026/paper.pdf
Boundedness-and-persistence-of-weakly-reversible-mass-action-systems-September-25-2026	Boundedness and persistence of weakly reversible mass-action systems	OpenAI	September 25, 2026 (from directory name)	149	Classwise permanence for weakly reversible mass-action systems	True	current (in CONTENTS.md)	preprints/Boundedness-and-persistence-of-weakly-reversible-mass-action-systems-September-25-2026/paper.pdf
Brennans-conjecture-and-sharp-inverse-square-integral-means-September-24-2026	Brennan's conjecture and sharp inverse-square integral means	OpenAI	September 24, 2026	072	Brennan's conjecture and the integral-means spectrum	True	current (in CONTENTS.md)	preprints/Brennans-conjecture-and-sharp-inverse-square-integral-means-September-24-2026/paper.pdf
Brownian-continuum-random-tree-limits-of-finite-Fortuin-Kasteleyn-maps-above-four-September-24-2026	Brownian continuum random tree limits of finite Fortuin–Kasteleyn maps above four	OpenAI	September 24, 2026	211	The geometric phase diagram, diffusion, and spectra of random planar maps	True	current (in CONTENTS.md)	preprints/Brownian-continuum-random-tree-limits-of-finite-Fortuin-Kasteleyn-maps-above-four-September-24-2026/main.pdf
Buffered-comparison-and-stopping-band-resolution-in-critical-Ising-September-23-2026	Buffered comparison and stopping-band resolution in critical Ising	OpenAI	September 23, 2026	218	Conformal universality for weakly interacting and random-bond Ising models	True	current (in CONTENTS.md)	preprints/Buffered-comparison-and-stopping-band-resolution-in-critical-Ising-September-23-2026/paper.pdf
Canonical-ampleness-of-compact-hyperbolic-Kahler-manifolds-September-23-2026	Canonical ampleness of compact hyperbolic Kähler manifolds	OpenAI	September 23, 2026	051	Kobayashi’s canonical-ampleness conjecture	False	current (in CONTENTS.md)	preprints/Canonical-ampleness-of-compact-hyperbolic-Kahler-manifolds-September-23-2026/canonical-ampleness.pdf
Canonical-conformal-limits-of-subcritical-FK-planar-maps-September-24-2026	Canonical conformal limits of subcritical FK planar maps	OpenAI	September 24, 2026	211	The geometric phase diagram, diffusion, and spectra of random planar maps	True	current (in CONTENTS.md)	preprints/Canonical-conformal-limits-of-subcritical-FK-planar-maps-September-24-2026/main.pdf
Cap-selected-amplitudes-and-triangle-chords-for-honeycomb-walks-September-26-2026	Cap-selected amplitudes and triangle chords for honeycomb walks	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Cap-selected-amplitudes-and-triangle-chords-for-honeycomb-walks-September-26-2026/main.pdf
Cardys-formula-for-critical-Poisson-Voronoi-percolation-September-23-2026	Cardy’s formula for critical Poisson–Voronoi percolation	OpenAI	September 23, 2026	224	Critical and quenched near-critical universality for Poisson–Voronoi percolation	False	current (in CONTENTS.md)	preprints/Cardys-formula-for-critical-Poisson-Voronoi-percolation-September-23-2026/paper.pdf
Catalans-constant-is-irrational-September-24-2026	Catalan's constant is irrational	OpenAI	September 24, 2026	005	Irrationality of Catalan’s constant	True	current (in CONTENTS.md)	preprints/Catalans-constant-is-irrational-September-24-2026/paper.pdf
Choiceless-polynomial-time-with-counting-does-not-capture-polynomial-time-September-23-2026	Choiceless polynomial time with counting does not capture polynomial time	OpenAI	September 23, 2026	243	Separating choiceless counting from polynomial time and witnessed choice	True	current (in CONTENTS.md)	preprints/Choiceless-polynomial-time-with-counting-does-not-capture-polynomial-time-September-23-2026/paper.pdf
Classical-capacity-and-entropy-inequalities-for-generalized-amplitude-damping-September-24-2026	Classical capacity and entropy inequalities for generalized amplitude damping	OpenAI	September 24, 2026	276	Classical capacity of generalized amplitude damping	True	current (in CONTENTS.md)	preprints/Classical-capacity-and-entropy-inequalities-for-generalized-amplitude-damping-September-24-2026/paper.pdf
Close-Separable-Cstar-Algebras-Without-Spatial-Conjugacy-October-5-2026	Close Separable C*-Algebras Without Spatial Conjugacy	OpenAI	October 5, 2026	289	Strong Kadison–Kastler stability and its spatial boundaries	True	current (in CONTENTS.md)	preprints/Close-Separable-Cstar-Algebras-Without-Spatial-Conjugacy-October-5-2026/paper.pdf
Cohomological-transfer-and-equivariant-anticanonical-sections-September-26-2026	Cohomological transfer and equivariant anticanonical sections	OpenAI	September 26, 2026 (from directory name)	068	Anticanonical nonvanishing in every dimension	False	current (in CONTENTS.md)	preprints/Cohomological-transfer-and-equivariant-anticanonical-sections-September-26-2026/main.pdf
Combinatorial-Invariance-of-Kazhdan-Lusztig-Polynomials-September-24-2026	Combinatorial invariance of Kazhdan–Lusztig polynomials	OpenAI	September 24, 2026	168	Combinatorial invariance of Kazhdan–Lusztig polynomials	True	current (in CONTENTS.md)	preprints/Combinatorial-Invariance-of-Kazhdan-Lusztig-Polynomials-September-24-2026/paper.pdf
Commuting-Division-Coefficient-Forms-and-the-Artinian-Eisenbud-Green-Harris-Conjecture-September-23-2026	Commuting Division-Coefficient Forms and the Artinian Eisenbud-Green-Harris Conjecture	OpenAI	September 23, 2026	200	Eisenbud–Green–Harris and lex-plus-powers	False	current (in CONTENTS.md)	preprints/Commuting-Division-Coefficient-Forms-and-the-Artinian-Eisenbud-Green-Harris-Conjecture-September-23-2026/paper.pdf
Compatibility-entropy-and-the-spectrum-of-a-Thorp-sweep-September-26-2026	Compatibility entropy and the spectrum of a Thorp sweep	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Compatibility-entropy-and-the-spectrum-of-a-Thorp-sweep-September-26-2026/paper.pdf
Complex-Matrix-Multiplication-Below-2.258-and-Rectangular-Bounds-September-24-2026	Complex Matrix Multiplication Below 2.258 and Rectangular Bounds	OpenAI	September 24, 2026	107	Matrix multiplication with exponent at most 9/4	True	current (in CONTENTS.md)	preprints/Complex-Matrix-Multiplication-Below-2.258-and-Rectangular-Bounds-September-24-2026/Complex-Matrix-Multiplication-Below-2.258-and-Rectangular-Bounds-September-24-2026.pdf
Computation-under-Rapidly-Vanishing-Navier-Stokes-Forcing-September-27-2026	Computation under Rapidly Vanishing Navier–Stokes Forcing	OpenAI	September 27, 2026	376	Universal computation in forced Navier–Stokes flows	True	current (in CONTENTS.md)	preprints/Computation-under-Rapidly-Vanishing-Navier-Stokes-Forcing-September-27-2026/manuscript.pdf
Computing-the-Random-3-SAT-Threshold-September-27-2026	Computing the Random 3-SAT Threshold	OpenAI	September 27, 2026	235	Limiting random SAT thresholds, sharp variance and computability	True	current (in CONTENTS.md)	preprints/Computing-the-Random-3-SAT-Threshold-September-27-2026/article.pdf
Conditional-coordinate-sweeps-and-analytic-transfer-September-26-2026	Conditional coordinate sweeps and analytic transfer	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Conditional-coordinate-sweeps-and-analytic-transfer-September-26-2026/main.pdf
Conditional-good-minimal-models-for-compact-Kahler-fourfolds-October-5-2026	Conditional good minimal models for compact Kähler fourfolds	OpenAI	October 5, 2026 (from directory name)				previous version, superseded by Conditional-good-minimal-models-for-compact-Kahler-fourfolds-October-6-2026	preprints/Conditional-good-minimal-models-for-compact-Kahler-fourfolds-October-5-2026/paper.pdf
Conditional-good-minimal-models-for-compact-Kahler-fourfolds-October-6-2026	Conditional good minimal models for compact Kähler fourfolds	OpenAI	October 6, 2026 (from directory name)	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Conditional-good-minimal-models-for-compact-Kahler-fourfolds-October-6-2026/paper.pdf
Conditional-information-under-deterministic-coordinate-sweeps-September-26-2026	Conditional information under deterministic coordinate sweeps	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Conditional-information-under-deterministic-coordinate-sweeps-September-26-2026/main.pdf
Conditional-permutations-in-a-revealed-switching-environment-September-26-2026	Conditional permutations in a revealed switching environment	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Conditional-permutations-in-a-revealed-switching-environment-September-26-2026/paper.pdf
Conformal-Limits-of-Critical-Square-Lattice-Random-Cluster-Interfaces-October-5-2026	Conformal Limits of Critical Square-Lattice Random-Cluster Interfaces	OpenAI	October 5, 2026	223	Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling	False	current (in CONTENTS.md)	preprints/Conformal-Limits-of-Critical-Square-Lattice-Random-Cluster-Interfaces-October-5-2026/paper.pdf
Conformal-flow-and-the-Riemannian-Penrose-inequality-with-minimizing-frontiers-September-27-2026	Conformal flow and the Riemannian Penrose inequality with minimizing frontiers	OpenAI	September 27, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/Conformal-flow-and-the-Riemannian-Penrose-inequality-with-minimizing-frontiers-September-27-2026/paper.pdf
Conformal-universality-of-bulk-Ising-correlations-under-weak-interactions-September-23-2026	Conformal universality of bulk Ising correlations under weak interactions	OpenAI	September 23, 2026	218	Conformal universality for weakly interacting and random-bond Ising models	True	current (in CONTENTS.md)	preprints/Conformal-universality-of-bulk-Ising-correlations-under-weak-interactions-September-23-2026/paper.pdf
Constant-factor-hardness-of-Min-UnCut-September-23-2026	Constant-factor hardness of Min-UnCut	OpenAI	September 23, 2026	102	The Unique Games Conjecture and optimal approximation thresholds	True	current (in CONTENTS.md)	preprints/Constant-factor-hardness-of-Min-UnCut-September-23-2026/paper.pdf
Constant-factor-hardness-of-directed-feedback-vertex-set-September-23-2026	Constant-factor hardness of directed feedback vertex set	OpenAI	September 23, 2026	102	The Unique Games Conjecture and optimal approximation thresholds	True	current (in CONTENTS.md)	preprints/Constant-factor-hardness-of-directed-feedback-vertex-set-September-23-2026/paper.pdf
Constant-factor-hardness-of-uniform-sparsest-cut-September-24-2026	Constant-factor hardness of uniform sparsest cut	OpenAI	September 24, 2026 (from directory name)	117	Uniform sparsest cut: hardness and semidefinite gaps	True	current (in CONTENTS.md)	preprints/Constant-factor-hardness-of-uniform-sparsest-cut-September-24-2026/Constant-factor-hardness-of-uniform-sparsest-cut-September-24-2026.pdf
Constructible-tame-Hecke-eigensheaves-in-positive-characteristic-October-5-2026	Constructible tame Hecke eigensheaves in positive characteristic	OpenAI	October 5, 2026	014	Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan	False	current (in CONTENTS.md)	preprints/Constructible-tame-Hecke-eigensheaves-in-positive-characteristic-October-5-2026/constructible-tame-hecke-eigensheaves-positive-characteristic.pdf
Contact-Fano-manifolds-and-the-LeBrun-Salamon-conjecture-September-23-2026	Contact Fano manifolds and the LeBrun–Salamon conjecture	OpenAI	September 23, 2026	062	Projective contact classification and the LeBrun–Salamon conjecture	False	current (in CONTENTS.md)	preprints/Contact-Fano-manifolds-and-the-LeBrun-Salamon-conjecture-September-23-2026/paper.pdf
Continuous-Phase-Foliations-Create-Analytic-Caustic-Collars-September-24-2026	Continuous Phase Foliations Create Analytic Caustic Collars	OpenAI	September 24, 2026	147	The near-boundary Birkhoff conjecture	False	current (in CONTENTS.md)	preprints/Continuous-Phase-Foliations-Create-Analytic-Caustic-Collars-September-24-2026/paper.pdf
Continuum-Coulomb-hardness-with-binary-nuclear-charges-September-24-2026	Continuum Coulomb hardness with binary nuclear charges	OpenAI	September 24, 2026	275	QMA-hardness of continuum Coulomb energy	True	current (in CONTENTS.md)	preprints/Continuum-Coulomb-hardness-with-binary-nuclear-charges-September-24-2026/Continuum-Coulomb-hardness-with-binary-nuclear-charges-September-24-2026.pdf
Correspondence-Coloring-Graphs-with-a-Forbidden-Clique-October-5-2026	Correspondence coloring graphs with a forbidden clique	OpenAI	October 5, 2026	184	Correspondence coloring with a fixed forbidden subgraph	True	current (in CONTENTS.md)	preprints/Correspondence-Coloring-Graphs-with-a-Forbidden-Clique-October-5-2026/correspondence-coloring-forbidden-clique.pdf
Counterexamples-to-the-Hahn-Wilson-conjecture-at-height-two-September-26-2026	Counterexamples to the Hahn-Wilson conjecture at height two	OpenAI	September 26, 2026	319	Counterexamples to finite generation at chromatic height two	False	current (in CONTENTS.md)	preprints/Counterexamples-to-the-Hahn-Wilson-conjecture-at-height-two-September-26-2026/paper.pdf
Counterexamples-to-the-duality-conjecture-for-metric-entropy-September-24-2026	Counterexamples to the duality conjecture for metric entropy	OpenAI	September 24, 2026	329	A counterexample to metric-entropy duality	True	current (in CONTENTS.md)	preprints/Counterexamples-to-the-duality-conjecture-for-metric-entropy-September-24-2026/main.pdf
Counterexamples-to-weak-chromatic-splitting-sphere-kernels-and-descent-exponents-September-27-2026	Counterexamples to weak chromatic splitting: sphere kernels and descent exponents	OpenAI	September 27, 2026	318	Chromatic splitting: filtrations and counterexamples	False	current (in CONTENTS.md)	preprints/Counterexamples-to-weak-chromatic-splitting-sphere-kernels-and-descent-exponents-September-27-2026/paper.pdf
Critical-Center-Magnetization-in-the-Planar-XY-Model-October-5-2026	Critical Center Magnetization in the Planar XY Model	OpenAI	October 5, 2026	216	Critical and near-critical XY scaling and BKT universality	False	current (in CONTENTS.md)	preprints/Critical-Center-Magnetization-in-the-Planar-XY-Model-October-5-2026/paper.pdf
Critical-bond-and-site-percolation-on-the-cubic-lattice-September-24-2026	Critical bond and site percolation on the cubic lattice	OpenAI	September 24, 2026 (from directory name)	213	Critical percolation on every quasi-transitive graph	True	current (in CONTENTS.md)	preprints/Critical-bond-and-site-percolation-on-the-cubic-lattice-September-24-2026/paper.pdf
Critical-honeycomb-chords-with-prescribed-boundary-endpoints-September-26-2026	Critical honeycomb chords with prescribed boundary endpoints	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Critical-honeycomb-chords-with-prescribed-boundary-endpoints-September-26-2026/main.pdf
Critical-local-smoothing-for-the-three-dimensional-wave-equation-September-24-2026	Critical local smoothing for the three-dimensional wave equation	OpenAI	September 24, 2026	079	Local smoothing in three dimensions	False	current (in CONTENTS.md)	preprints/Critical-local-smoothing-for-the-three-dimensional-wave-equation-September-24-2026/paper.pdf
Critical-mixing-in-the-Sherrington-Kirkpatrick-model-September-25-2026	Critical mixing in the Sherrington–Kirkpatrick model	OpenAI	September 25, 2026	227	Critical SK autocorrelation processes and dynamics across the temperature transition	True	current (in CONTENTS.md)	preprints/Critical-mixing-in-the-Sherrington-Kirkpatrick-model-September-25-2026/paper.pdf
Critical-slowing-down-in-the-Sherrington-Kirkpatrick-model-September-24-2026	Critical slowing down in the Sherrington–Kirkpatrick model	OpenAI	September 24, 2026	227	Critical SK autocorrelation processes and dynamics across the temperature transition	True	current (in CONTENTS.md)	preprints/Critical-slowing-down-in-the-Sherrington-Kirkpatrick-model-September-24-2026/paper.pdf
Critical-strip-crossing-mass-on-the-honeycomb-lattice-September-26-2026	Critical strip-crossing mass on the honeycomb lattice	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Critical-strip-crossing-mass-on-the-honeycomb-lattice-September-26-2026/main.pdf
Cuntz-comparison-and-Jiang-Su-absorption-September-23-2026	Cuntz comparison and Jiang–Su absorption	OpenAI	September 23, 2026 (from directory name)	291	Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability	True	current (in CONTENTS.md)	preprints/Cuntz-comparison-and-Jiang-Su-absorption-September-23-2026/paper.pdf
Cutoff-throughout-the-high-temperature-Sherrington-Kirkpatrick-phase-September-24-2026	Cutoff throughout the high-temperature Sherrington–Kirkpatrick phase	OpenAI	September 24, 2026	227	Critical SK autocorrelation processes and dynamics across the temperature transition	True	current (in CONTENTS.md)	preprints/Cutoff-throughout-the-high-temperature-Sherrington-Kirkpatrick-phase-September-24-2026/paper.pdf
Cycle-clique-Ramsey-numbers-September-25-2026	Cycle–clique Ramsey numbers	OpenAI	September 25, 2026	189	Cycle–clique Ramsey numbers	True	current (in CONTENTS.md)	preprints/Cycle-clique-Ramsey-numbers-September-25-2026/Cycle-clique-Ramsey-numbers-September-25-2026.pdf
Cyclic-Length-and-Chromatic-Fixed-Point-Loss-September-24-2026	Cyclic length and chromatic fixed-point loss	OpenAI	September 24, 2026	314	Cyclic length and chromatic fixed-point loss	False	current (in CONTENTS.md)	preprints/Cyclic-Length-and-Chromatic-Fixed-Point-Loss-September-24-2026/Cyclic-Length-and-Chromatic-Fixed-Point-Loss-September-24-2026.pdf
Cylinder-amplitudes-and-logarithmic-bridge-length-windows-on-the-honeycomb-lattice-September-26-2026	Cylinder amplitudes and logarithmic bridge-length windows on the honeycomb lattice	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Cylinder-amplitudes-and-logarithmic-bridge-length-windows-on-the-honeycomb-lattice-September-26-2026/main.pdf
Cylinder-loop-weights-and-planar-nesting-September-26-2026	Cylinder loop weights and planar nesting	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Cylinder-loop-weights-and-planar-nesting-September-26-2026/main.pdf
De-Giorgis-conjecture-in-dimension-eight-September-26-2026	A positive resolution of De Giorgi's conjecture in dimension eight	OpenAI	September 26, 2026	375	De Giorgi's conjecture in dimension eight	False	current (in CONTENTS.md)	preprints/De-Giorgis-conjecture-in-dimension-eight-September-26-2026/article.pdf
Deforming-hypersymplectic-four-manifolds-to-hyperkahler-triples-October-7-2026	Deforming hypersymplectic four-manifolds to hyperkähler triples	OpenAI	October 7, 2026	341	Donaldson's hypersymplectic deformation conjecture	False	current (in CONTENTS.md)	preprints/Deforming-hypersymplectic-four-manifolds-to-hyperkahler-triples-October-7-2026/paper.pdf
Deforming-hypersymplectic-four-manifolds-to-hyperkahler-triples-September-23-2026	Deforming hypersymplectic four-manifolds to hyperkähler triples	OpenAI	September 23, 2026				previous version, superseded by Deforming-hypersymplectic-four-manifolds-to-hyperkahler-triples-October-7-2026	preprints/Deforming-hypersymplectic-four-manifolds-to-hyperkahler-triples-September-23-2026/paper.pdf
Determination-of-a-metric-and-a-unitary-connection-from-one-boundary-patch-October-5-2026	Determination of a metric and a unitary connection from one boundary patch	OpenAI	October 5, 2026	365	Joint metric and connection recovery from one boundary patch	True	current (in CONTENTS.md)	preprints/Determination-of-a-metric-and-a-unitary-connection-from-one-boundary-patch-October-5-2026/paper.pdf
Deterministic-Polynomial-Factorization-over-Prime-Fields-October-4-2026	Deterministic Polynomial Factorization over Prime Fields	OpenAI	October 4, 2026	142	Deterministic polynomial factorization over prime fields	False	current (in CONTENTS.md)	preprints/Deterministic-Polynomial-Factorization-over-Prime-Fields-October-4-2026/Deterministic-Polynomial-Factorization-over-Prime-Fields.pdf
Deterministic-nonbipartite-Ramanujan-graphs-in-every-fixed-degree-September-23-2026	Deterministic nonbipartite Ramanujan graphs in every fixed degree	OpenAI	September 23, 2026	178	Deterministic nonbipartite Ramanujan graphs in every fixed degree	False	current (in CONTENTS.md)	preprints/Deterministic-nonbipartite-Ramanujan-graphs-in-every-fixed-degree-September-23-2026/paper.pdf
Deterministic-quasipolynomial-time-mean-payoff-games-September-25-2026	Deterministic quasipolynomial-time mean-payoff games	OpenAI	September 25, 2026 (from directory name)	104	Quasipolynomial algorithms for mean-payoff, stochastic and parity games	True	current (in CONTENTS.md)	preprints/Deterministic-quasipolynomial-time-mean-payoff-games-September-25-2026/paper.pdf
Diagonal-Fourier-extension-for-positively-curved-surfaces-in-three-dimensions-September-24-2026	Diagonal Fourier extension for positively curved surfaces in three dimensions	OpenAI	September 24, 2026	077	Fourier restriction for positively curved surfaces	False	current (in CONTENTS.md)	preprints/Diagonal-Fourier-extension-for-positively-curved-surfaces-in-three-dimensions-September-24-2026/Diagonal-Fourier-extension-for-positively-curved-surfaces-in-three-dimensions-September-24-2026.pdf
Diamond-distortion-from-midpoint-and-tree-energies-September-27-2026	Distortion of countably branching diamonds from midpoint and tree energies	OpenAI	September 27, 2026 (from directory name)	331	Reflexive midpoint convexity and diamond distortion	True	current (in CONTENTS.md)	preprints/Diamond-distortion-from-midpoint-and-tree-energies-September-27-2026/manuscript.pdf
Directional-transience-implies-ballisticity-September-23-2026	Directional transience implies ballisticity	OpenAI	September 23, 2026	220	Directional zero–one laws beyond iid environments and iid ballisticity	True	current (in CONTENTS.md)	preprints/Directional-transience-implies-ballisticity-September-23-2026/paper.pdf
Disk-transfer-representations-and-confined-bridge-mass-September-26-2026	Disk transfer representations and confined bridge mass	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Disk-transfer-representations-and-confined-bridge-mass-September-26-2026/main.pdf
Donovans-Conjecture-over-Algebraic-Closures-of-Prime-Fields-September-24-2026	Donovan's Conjecture over Algebraically Closed Fields	OpenAI	September 24, 2026	203	Donovan's conjecture over fields and complete mixed-characteristic DVRs	False	current (in CONTENTS.md)	preprints/Donovans-Conjecture-over-Algebraic-Closures-of-Prime-Fields-September-24-2026/main.pdf
Edit-Distance-in-l1-Matching-Bounds-up-to-Constants-in-the-Exponent-September-27-2026	Edit Distance in $\ell_1$: Matching Bounds up to Constants in the Exponent	OpenAI	September 27, 2026 (from directory name)	099	The sharp exponential scale of edit-distance distortion	True	current (in CONTENTS.md)	preprints/Edit-Distance-in-l1-Matching-Bounds-up-to-Constants-in-the-Exponent-September-27-2026/paper.pdf
Electromagnetic-tails-and-the-Kerr-Newman-Penrose-inequality-October-5-2026	Electromagnetic tails and the Kerr–Newman Penrose inequality	OpenAI	October 5, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/Electromagnetic-tails-and-the-Kerr-Newman-Penrose-inequality-October-5-2026/paper.pdf
Elementary-Positivity-of-Chromatic-Quasisymmetric-Functions-September-24-2026	Elementary positivity of chromatic quasisymmetric functions	OpenAI	September 24, 2026	169	Shareshian–Wachs elementary positivity	True	current (in CONTENTS.md)	preprints/Elementary-Positivity-of-Chromatic-Quasisymmetric-Functions-September-24-2026/paper.pdf
Elliptic-Squares-and-Zilber-Pink-for-Curves-in-A2-September-24-2026	Elliptic squares and Zilber-Pink for curves in A2	OpenAI	September 24, 2026	016	Zilber–Pink in abelian varieties and the Siegel threefold	False	current (in CONTENTS.md)	preprints/Elliptic-Squares-and-Zilber-Pink-for-Curves-in-A2-September-24-2026/paper.pdf
Elliptic-capacity-propagation-and-Fourier-restriction-to-the-sphere-September-24-2026	Elliptic capacity propagation and Fourier restriction to the sphere	OpenAI	September 24, 2026	077	Fourier restriction for positively curved surfaces	False	current (in CONTENTS.md)	preprints/Elliptic-capacity-propagation-and-Fourier-restriction-to-the-sphere-September-24-2026/Elliptic-capacity-propagation-and-Fourier-restriction-to-the-sphere-September-24-2026.pdf
Endpoint-convergence-for-the-planar-Schrodinger-equation-September-24-2026	Endpoint convergence for the planar Schrödinger equation	OpenAI	September 24, 2026	080	The exact Sobolev endpoint for Schrödinger convergence	False	current (in CONTENTS.md)	preprints/Endpoint-convergence-for-the-planar-Schrodinger-equation-September-24-2026/paper.pdf
Endpoint-pointwise-convergence-for-the-Schrodinger-equation-in-higher-dimensions-September-24-2026	Endpoint pointwise convergence for the Schrödinger equation in higher dimensions	OpenAI	September 24, 2026	080	The exact Sobolev endpoint for Schrödinger convergence	False	current (in CONTENTS.md)	preprints/Endpoint-pointwise-convergence-for-the-Schrodinger-equation-in-higher-dimensions-September-24-2026/paper.pdf
Entanglement-with-zero-distillable-secret-key-in-local-dimension-ten-September-27-2026	Entanglement with zero distillable secret key in local dimension ten	OpenAI	September 27, 2026	272	Entanglement without distillable secret key	True	current (in CONTENTS.md)	preprints/Entanglement-with-zero-distillable-secret-key-in-local-dimension-ten-September-27-2026/paper.pdf
Entropy-and-Face-Dimension-of-the-Perfect-Matching-Polytope-September-23-2026	Entropy and Face Dimension of the Perfect-Matching Polytope	OpenAI	September 23, 2026	113	Approximate counting and entropy of perfect matchings	True	current (in CONTENTS.md)	preprints/Entropy-and-Face-Dimension-of-the-Perfect-Matching-Polytope-September-23-2026/main.pdf
Entropy-equality-and-local-symmetry-in-negative-curvature-September-23-2026	Entropy equality and local symmetry in negative curvature	OpenAI	September 23, 2026	339	Katok's entropy rigidity conjecture	False	current (in CONTENTS.md)	preprints/Entropy-equality-and-local-symmetry-in-negative-curvature-September-23-2026/paper.pdf
Equality-and-rigidity-in-the-spacetime-Penrose-inequality-September-27-2026	Equality and rigidity in the spacetime Penrose inequality	OpenAI	September 27, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/Equality-and-rigidity-in-the-spacetime-Penrose-inequality-September-27-2026/paper.pdf
Equality-cases-in-the-sharp-one-dimensional-matrix-Lieb-Thirring-inequality-October-5-2026	Equality cases in the sharp one-dimensional matrix Lieb–Thirring inequality	OpenAI	October 5, 2026	262	Sharp finite-matrix Lieb–Thirring inequalities and all equality cases	True	current (in CONTENTS.md)	preprints/Equality-cases-in-the-sharp-one-dimensional-matrix-Lieb-Thirring-inequality-October-5-2026/sharp-one-dimensional-lieb-thirring-inequalities-matrix-potentials.pdf
Equidistribution-of-Prime-Degree-Torus-Packets-with-Arbitrary-Local-Type-September-24-2026	Equidistribution of Prime-Degree Torus Packets with Arbitrary Local Type	OpenAI	September 24, 2026	015	Torus-packet equidistribution in prime, quartic, and sextic degrees	True	current (in CONTENTS.md)	preprints/Equidistribution-of-Prime-Degree-Torus-Packets-with-Arbitrary-Local-Type-September-24-2026/paper.pdf
Equidistribution-of-Primitive-Quartic-Torus-Packets-for-Arbitrary-Orders-October-5-2026	Equidistribution of primitive quartic torus packets for arbitrary orders	OpenAI	October 5, 2026	015	Torus-packet equidistribution in prime, quartic, and sextic degrees	True	current (in CONTENTS.md)	preprints/Equidistribution-of-Primitive-Quartic-Torus-Packets-for-Arbitrary-Orders-October-5-2026/quartic-torus-packets.pdf
Equidistribution-of-Primitive-Sextic-Torus-Packets-October-5-2026	Equidistribution of Primitive Sextic Torus Packets	OpenAI	October 5, 2026	015	Torus-packet equidistribution in prime, quartic, and sextic degrees	True	current (in CONTENTS.md)	preprints/Equidistribution-of-Primitive-Sextic-Torus-Packets-October-5-2026/primitive-sextic-torus-packets.pdf
Equivariant-Jiang-Su-Stability-for-Amenable-Actions-in-the-Unital-Stably-Finite-Case-October-5-2026	Equivariant Jiang–Su Stability for Amenable Actions in the Unital Stably Finite Case	OpenAI	October 5, 2026	291	Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability	True	current (in CONTENTS.md)	preprints/Equivariant-Jiang-Su-Stability-for-Amenable-Actions-in-the-Unital-Stably-Finite-Case-October-5-2026/paper.pdf
Ergodicity-of-triangular-billiards-with-an-irrational-angle-September-25-2026	Ergodicity of triangular billiards with an irrational angle	OpenAI	September 25, 2026	150	Weak mixing of triangular billiards with an irrational angle	True	current (in CONTENTS.md)	preprints/Ergodicity-of-triangular-billiards-with-an-irrational-angle-September-25-2026/Ergodicity-of-triangular-billiards-with-an-irrational-angle-September-25-2026.pdf
Essential-Singularity-of-the-Correlation-Length-in-the-Planar-XY-Model-October-5-2026	Essential Singularity of the Correlation Length in the Planar XY Model	OpenAI	October 5, 2026	216	Critical and near-critical XY scaling and BKT universality	False	current (in CONTENTS.md)	preprints/Essential-Singularity-of-the-Correlation-Length-in-the-Planar-XY-Model-October-5-2026/paper.pdf
Etale-covers-with-a-prescribed-exterior-sheet-September-24-2026	Étale covers with a prescribed exterior sheet	OpenAI	September 24, 2026	019	The local p-adic section conjecture and global consequences	False	current (in CONTENTS.md)	preprints/Etale-covers-with-a-prescribed-exterior-sheet-September-24-2026/main.pdf
Eventual-Categoricity-for-Abstract-Elementary-Classes-September-24-2026	Eventual categoricity for abstract elementary classes	OpenAI	September 24, 2026	240	Shelah's eventual categoricity and the prescribed-threshold obstruction	True	current (in CONTENTS.md)	preprints/Eventual-Categoricity-for-Abstract-Elementary-Classes-September-24-2026/paper.pdf
Every-complex-K3-surface-is-Oka-September-23-2026	Every complex K3 surface is Oka	OpenAI	September 23, 2026	042	Oka classification for minimal compact complex surfaces: Kodaira dimension zero and class VII	False	current (in CONTENTS.md)	preprints/Every-complex-K3-surface-is-Oka-September-23-2026/paper.pdf
Every-four-dimensional-Kakeya-set-has-full-Hausdorff-dimension-September-24-2026	Every Four-Dimensional Kakeya Set Has Full Hausdorff Dimension	OpenAI	September 24, 2026	074	Kakeya in three and four dimensions	False	current (in CONTENTS.md)	preprints/Every-four-dimensional-Kakeya-set-has-full-Hausdorff-dimension-September-24-2026/paper.pdf
Exact-Birch-Swinnerton-Dyer-Formula-from-Low-Selmer-Corank-October-3-2026	Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank	OpenAI	October 3, 2026				previous version, superseded by Exact-Birch-Swinnerton-Dyer-Formula-from-Low-Selmer-Corank-October-7-2026	preprints/Exact-Birch-Swinnerton-Dyer-Formula-from-Low-Selmer-Corank-October-3-2026/exact-bsd-low-selmer-corank.pdf
Exact-Birch-Swinnerton-Dyer-Formula-from-Low-Selmer-Corank-October-7-2026	Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank	OpenAI	October 7, 2026	002	The full BSD formula from low Selmer corank	False	current (in CONTENTS.md)	preprints/Exact-Birch-Swinnerton-Dyer-Formula-from-Low-Selmer-Corank-October-7-2026/exact-bsd-low-selmer-corank.pdf
Exact-Derandomization-of-Logarithmic-Space-L-equals-RL-equals-BPL-September-23-2026	Exact Derandomization of Logarithmic Space: L = RL = BPL	OpenAI	September 23, 2026	103	Exact derandomization of logarithmic space: $`\mathsf L=\mathsf{RL}=\mathsf{BPL}`$	True	current (in CONTENTS.md)	preprints/Exact-Derandomization-of-Logarithmic-Space-L-equals-RL-equals-BPL-September-23-2026/paper.pdf
Exact-Fourier-certificates-for-complex-Hadamard-matrices-of-order-six-September-24-2026	Exact Fourier certificates for complex Hadamard matrices of order six	OpenAI	September 24, 2026	266	Exactly three mutually unbiased bases in dimension six	True	current (in CONTENTS.md)	preprints/Exact-Fourier-certificates-for-complex-Hadamard-matrices-of-order-six-September-24-2026/Exact-Fourier-certificates-for-complex-Hadamard-matrices-of-order-six-September-24-2026.pdf
Exact-Uniform-Sampling-of-Contingency-Tables-with-Arbitrary-Margins-September-24-2026	Exact Uniform Sampling of Contingency Tables with Arbitrary Margins	OpenAI	September 24, 2026	115	Sampling and counting contingency tables with arbitrary margins	True	current (in CONTENTS.md)	preprints/Exact-Uniform-Sampling-of-Contingency-Tables-with-Arbitrary-Margins-September-24-2026/main.pdf
Exact-asymptotic-moduli-in-a-Daugavet-subspace-of-L1-September-27-2026	Exact asymptotic moduli in a Daugavet subspace of L1	OpenAI	September 27, 2026 (from directory name)	331	Reflexive midpoint convexity and diamond distortion	True	current (in CONTENTS.md)	preprints/Exact-asymptotic-moduli-in-a-Daugavet-subspace-of-L1-September-27-2026/manuscript.pdf
Exact-mass-asymptotics-for-the-two-dimensional-O4-lattice-model-October-5-2026	Exact mass asymptotics for the two-dimensional O(4) lattice model	OpenAI	October 5, 2026	215	Canonical $`O(3)`$ continuum limit and exact $`O(4)`$ mass asymptotics	True	current (in CONTENTS.md)	preprints/Exact-mass-asymptotics-for-the-two-dimensional-O4-lattice-model-October-5-2026/exact-mass-o4.pdf
Exact-orders-and-invariant-anticanonical-linear-systems-September-26-2026	Exact orders and invariant anticanonical linear systems	OpenAI	September 26, 2026 (from directory name)	068	Anticanonical nonvanishing in every dimension	False	current (in CONTENTS.md)	preprints/Exact-orders-and-invariant-anticanonical-linear-systems-September-26-2026/main.pdf
Exact-quantum-factoring-over-a-fixed-finite-gate-set-September-25-2026	Exact quantum factoring over a fixed finite gate set	OpenAI	September 25, 2026	279	Exact quantum factoring over a fixed finite gate set	True	current (in CONTENTS.md)	preprints/Exact-quantum-factoring-over-a-fixed-finite-gate-set-September-25-2026/main.pdf
Existential-universal-real-sentences-in-the-counting-hierarchy-October-4-2026	Existential–universal real sentences in the counting hierarchy	OpenAI	October 4, 2026	141	Existential–universal real sentences in the counting hierarchy	False	current (in CONTENTS.md)	preprints/Existential-universal-real-sentences-in-the-counting-hierarchy-October-4-2026/etr-counting-hierarchy.pdf
Expected-amenable-subalgebras-preserving-core-commutants-September-23-2026	Expected amenable subalgebras preserving core commutants	OpenAI	September 23, 2026	290	Relative bicentralizers and modular spectral recovery	True	current (in CONTENTS.md)	preprints/Expected-amenable-subalgebras-preserving-core-commutants-September-23-2026/Expected-amenable-subalgebras-preserving-core-commutants-September-23-2026.pdf
Exponential-PSD-rank-of-positively-shifted-matching-matrices-October-5-2026	Exponential PSD rank of positively shifted matching matrices	OpenAI	October 5, 2026	126	Exponential semidefinite complexity of perfect matching	True	current (in CONTENTS.md)	preprints/Exponential-PSD-rank-of-positively-shifted-matching-matrices-October-5-2026/shifted-matching-psd.pdf
Exponential-decay-in-two-dimensional-classical-On-models-September-23-2026	Exponential decay in two-dimensional classical O(n) models	OpenAI	September 23, 2026	215	Canonical $`O(3)`$ continuum limit and exact $`O(4)`$ mass asymptotics	True	current (in CONTENTS.md)	preprints/Exponential-decay-in-two-dimensional-classical-On-models-September-23-2026/paper.pdf
Failure-of-Bounded-Approximation-in-a-Lipschitz-Free-Space-over-a-Uniformly-Discrete-Metric-Space-September-26-2026	A uniformly discrete counterexample to bounded approximation in Lipschitz-free spaces	OpenAI	September 26, 2026	330	A uniformly discrete counterexample to bounded approximation in Lipschitz-free spaces	True	current (in CONTENTS.md)	preprints/Failure-of-Bounded-Approximation-in-a-Lipschitz-Free-Space-over-a-Uniformly-Discrete-Metric-Space-September-26-2026/main.pdf
Failure-of-finite-assembly-for-a-chromatic-overlap-at-the-prime-three-September-25-2026	Failure of finite assembly for a chromatic overlap at the prime three	OpenAI	September 25, 2026	318	Chromatic splitting: filtrations and counterexamples	False	current (in CONTENTS.md)	preprints/Failure-of-finite-assembly-for-a-chromatic-overlap-at-the-prime-three-September-25-2026/paper.pdf
Failure-of-rational-injectivity-for-maximal-coarse-assembly-October-5-2026	Failure of rational injectivity for maximal coarse assembly	OpenAI	October 5, 2026	307	Failure of rational injectivity for maximal coarse assembly	True	current (in CONTENTS.md)	preprints/Failure-of-rational-injectivity-for-maximal-coarse-assembly-October-5-2026/paper.pdf
Fiber-functors-for-finite-symmetric-tensor-categories-in-positive-characteristic-September-24-2026	Fiber functors for finite symmetric tensor categories in positive characteristic	OpenAI	September 24, 2026	208	Finite symmetric tensor categories and the Verlinde tower	False	current (in CONTENTS.md)	preprints/Fiber-functors-for-finite-symmetric-tensor-categories-in-positive-characteristic-September-24-2026/paper.pdf
Filtered-chromatic-splitting-at-generic-primes-September-25-2026	Filtered chromatic splitting at generic primes	OpenAI	September 25, 2026	318	Chromatic splitting: filtrations and counterexamples	False	current (in CONTENTS.md)	preprints/Filtered-chromatic-splitting-at-generic-primes-September-25-2026/paper.pdf
Filtered-products-and-boundary-preserving-compression-in-complex-cobordism-September-25-2026	Filtered products and boundary-preserving compression in complex cobordism	OpenAI	September 25, 2026	302	Radius of comparison equals half the mean dimension	False	current (in CONTENTS.md)	preprints/Filtered-products-and-boundary-preserving-compression-in-complex-cobordism-September-25-2026/paper.pdf
Finite-Circle-Obstructions-Binary-Codes-and-Histogram-Embeddings-for-Edit-Distance-September-27-2026	Finite-Circle Obstructions, Binary Codes, and Histogram Embeddings for Edit Distance	OpenAI	September 27, 2026 (from directory name)	099	The sharp exponential scale of edit-distance distortion	True	current (in CONTENTS.md)	preprints/Finite-Circle-Obstructions-Binary-Codes-and-Histogram-Embeddings-for-Edit-Distance-September-27-2026/paper.pdf
Finite-Congruence-Lattices-Characterization-and-Undecidability-September-24-2026	Finite congruence lattices: characterization and undecidability	OpenAI	September 24, 2026	206	Finite lattice representation and undecidability	True	current (in CONTENTS.md)	preprints/Finite-Congruence-Lattices-Characterization-and-Undecidability-September-24-2026/paper.pdf
Finite-Instructions-and-Solenoidal-Shear-Flows-September-27-2026	Finite Instructions and Solenoidal Shear Flows	OpenAI	September 27, 2026	376	Universal computation in forced Navier–Stokes flows	True	current (in CONTENTS.md)	preprints/Finite-Instructions-and-Solenoidal-Shear-Flows-September-27-2026/manuscript.pdf
Finite-Monoid-Computations-and-a-Uniform-Generalized-Star-Height-Bound-September-25-2026	Finite Monoid Computations and a Uniform Generalized Star-Height Bound	OpenAI	September 25, 2026 (from directory name)	134	Generalized star height at most three	True	current (in CONTENTS.md)	preprints/Finite-Monoid-Computations-and-a-Uniform-Generalized-Star-Height-Bound-September-25-2026/Finite-Monoid-Computations-and-a-Uniform-Generalized-Star-Height-Bound-September-25-2026.pdf
Finite-Smith-Toda-Complexes-at-Varying-Primes-September-23-2026	Finite Smith–Toda Complexes at Varying Primes	OpenAI	September 23, 2026	308	Finite Smith–Toda complexes at every height	False	current (in CONTENTS.md)	preprints/Finite-Smith-Toda-Complexes-at-Varying-Primes-September-23-2026/paper.pdf
Finite-algebraic-envelopes-and-the-Boone-Higman-conjecture-September-23-2026	Finite algebraic envelopes and the Boone–Higman conjecture	OpenAI	September 23, 2026 (from directory name)	250	Boone–Higman embeddings with higher finiteness	True	current (in CONTENTS.md)	preprints/Finite-algebraic-envelopes-and-the-Boone-Higman-conjecture-September-23-2026/paper.pdf
Finite-angular-cylinder-covers-below-the-half-area-bound-September-27-2026	Finite angular cylinder covers below the half-area bound	OpenAI	September 27, 2026	100	Cylinder coverings below the half-area bound	True	current (in CONTENTS.md)	preprints/Finite-angular-cylinder-covers-below-the-half-area-bound-September-27-2026/main.pdf
Finite-cylinder-approximation-of-ruled-sets-September-27-2026	Finite cylinder approximation of ruled sets	OpenAI	September 27, 2026	100	Cylinder coverings below the half-area bound	True	current (in CONTENTS.md)	preprints/Finite-cylinder-approximation-of-ruled-sets-September-27-2026/main.pdf
Finite-generation-for-the-Kn-local-sphere-September-24-2026	Finite generation for the K(n)-local sphere	OpenAI	September 24, 2026	313	Finite generation for the $`K(n)`$-local sphere	False	current (in CONTENTS.md)	preprints/Finite-generation-for-the-Kn-local-sphere-September-24-2026/Finite-generation-for-the-Kn-local-sphere-September-24-2026.pdf
Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-5-2026	Finite ordinary minimal model programs on compact Kähler fourfolds	OpenAI	October 5, 2026				previous version, superseded by Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-6-2026	preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-5-2026/paper.pdf
Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-6-2026	Finite ordinary minimal model programs on compact Kähler fourfolds	OpenAI	October 6, 2026	056	Termination of projective and Kähler fourfold minimal model programs	False	current (in CONTENTS.md)	preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-6-2026/paper.pdf
Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-September-24-2026	Finite ordinary minimal model programs on compact Kähler fourfolds	OpenAI	September 24, 2026	056	Termination of projective and Kähler fourfold minimal model programs	False	current (in CONTENTS.md)	preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-September-24-2026/paper.pdf
Finite-tensor-savings-and-exact-Fourier-circuits-September-25-2026	Finite tensor savings and exact Fourier circuits	OpenAI	September 25, 2026	130	Exact Fourier transforms below $`n\log n`$	True	current (in CONTENTS.md)	preprints/Finite-tensor-savings-and-exact-Fourier-circuits-September-25-2026/main.pdf
Finite-triangular-approximation-of-radial-sweeps-September-27-2026	Finite triangular approximation of radial sweeps	OpenAI	September 27, 2026	100	Cylinder coverings below the half-area bound	True	current (in CONTENTS.md)	preprints/Finite-triangular-approximation-of-radial-sweeps-September-27-2026/main.pdf
Fixed-Points-of-Nonexpansive-Maps-in-Reflexive-Banach-Spaces-September-24-2026	Fixed Points of Nonexpansive Maps in Reflexive Banach Spaces	OpenAI	September 24, 2026	328	Nonexpansive fixed points in reflexive Banach spaces	True	current (in CONTENTS.md)	preprints/Fixed-Points-of-Nonexpansive-Maps-in-Reflexive-Banach-Spaces-September-24-2026/paper.pdf
Fixed-energy-universality-for-weak-Anderson-disorder-on-random-regular-graphs-October-5-2026	Fixed-energy universality for weak Anderson disorder on random regular graphs	OpenAI	October 5, 2026	219	GOE bulk universality for regular graphs with weak Anderson disorder	False	current (in CONTENTS.md)	preprints/Fixed-energy-universality-for-weak-Anderson-disorder-on-random-regular-graphs-October-5-2026/fixed-energy-universality-weak-anderson-disorder-random-regular-graphs.pdf
Fontaine-Mazur-modularity-at-the-prime-2-October-6-2026	Fontaine–Mazur modularity at the prime 2	OpenAI	October 6, 2026	010	Unrestricted pro-modularity at the prime two	False	current (in CONTENTS.md)	preprints/Fontaine-Mazur-modularity-at-the-prime-2-October-6-2026/paper.pdf
Fontaine-Mazur-modularity-at-the-prime-2-September-23-2026	Fontaine–Mazur modularity at the prime 2	OpenAI	September 23, 2026				previous version, superseded by Fontaine-Mazur-modularity-at-the-prime-2-October-6-2026	preprints/Fontaine-Mazur-modularity-at-the-prime-2-September-23-2026/paper.pdf
Foulkes-Conjecture-for-the-Sixth-Symmetric-Power-September-25-2026	Foulkes' conjecture for the sixth symmetric power	OpenAI	September 25, 2026	210	Foulkes' conjecture for sixth powers and quadratic stabilization	True	current (in CONTENTS.md)	preprints/Foulkes-Conjecture-for-the-Sixth-Symmetric-Power-September-25-2026/main.pdf
Fourfold-nonvanishing-by-minimal-metrics-and-moving-jets-September-27-2026	Fourfold nonvanishing by minimal metrics and moving jets	OpenAI	September 27, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Fourfold-nonvanishing-by-minimal-metrics-and-moving-jets-September-27-2026/paper.pdf
Frobenius-Structures-on-Tame-Hecke-Eigensheaves-October-5-2026	Frobenius Structures on Tame Hecke Eigensheaves	OpenAI	October 5, 2026	014	Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan	False	current (in CONTENTS.md)	preprints/Frobenius-Structures-on-Tame-Hecke-Eigensheaves-October-5-2026/tame-hecke-frobenius.pdf
From-critical-crossings-to-quenched-near-critical-universality-in-Voronoi-percolation-October-5-2026	From critical crossings to quenched near-critical universality in Voronoi percolation	OpenAI	October 5, 2026	224	Critical and quenched near-critical universality for Poisson–Voronoi percolation	False	current (in CONTENTS.md)	preprints/From-critical-crossings-to-quenched-near-critical-universality-in-Voronoi-percolation-October-5-2026/critical-crossings-quenched-near-critical-universality-voronoi-percolation.pdf
From-partial-permutation-information-to-Fourier-bounds-September-26-2026	From partial permutation information to Fourier bounds	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/From-partial-permutation-information-to-Fourier-bounds-September-26-2026/main.pdf
Fujitas-freeness-conjecture-September-23-2026	Fujita's freeness conjecture	OpenAI	September 23, 2026	038	Fujita’s freeness conjecture	False	current (in CONTENTS.md)	preprints/Fujitas-freeness-conjecture-September-23-2026/Fujitas-freeness-conjecture-September-23-2026.pdf
Full-support-of-the-zero-temperature-Sherrington-Kirkpatrick-order-parameter-September-27-2026	Full support of the zero-temperature Sherrington–Kirkpatrick order parameter	OpenAI	September 27, 2026	281	QAOA attains the SK optimum in the thermodynamic-first limit	True	current (in CONTENTS.md)	preprints/Full-support-of-the-zero-temperature-Sherrington-Kirkpatrick-order-parameter-September-27-2026/main.pdf
Functional-universality-of-critical-SK-autocorrelations-October-5-2026	Functional universality of critical SK autocorrelations	OpenAI	October 5, 2026	227	Critical SK autocorrelation processes and dynamics across the temperature transition	True	current (in CONTENTS.md)	preprints/Functional-universality-of-critical-SK-autocorrelations-October-5-2026/critical-sk-autocorrelations.pdf
GOE-bulk-universality-for-fixed-degree-random-regular-graphs-September-23-2026	GOE bulk universality for fixed-degree random regular graphs	OpenAI	September 23, 2026	219	GOE bulk universality for regular graphs with weak Anderson disorder	False	current (in CONTENTS.md)	preprints/GOE-bulk-universality-for-fixed-degree-random-regular-graphs-September-23-2026/paper.pdf
Gaussian-free-field-limits-of-weighted-integer-Lipschitz-heights-October-6-2026	Gaussian free-field limits of weighted integer Lipschitz heights	OpenAI	October 6, 2026	232	Gaussian fields and interfaces for triangular-lattice Lipschitz heights	False	current (in CONTENTS.md)	preprints/Gaussian-free-field-limits-of-weighted-integer-Lipschitz-heights-October-6-2026/paper.pdf
Gaussian-free-field-limits-of-weighted-integer-Lipschitz-heights-September-25-2026	Gaussian free-field limits of weighted integer Lipschitz heights	OpenAI	September 25, 2026				previous version, superseded by Gaussian-free-field-limits-of-weighted-integer-Lipschitz-heights-October-6-2026	preprints/Gaussian-free-field-limits-of-weighted-integer-Lipschitz-heights-September-25-2026/paper.pdf
Generalized-Cartan-Hadamard-isoperimetry-and-Euclidean-equality-rigidity-September-23-2026	Generalized Cartan–Hadamard isoperimetry and Euclidean equality rigidity	OpenAI	September 23, 2026	337	Sharp Cartan–Hadamard isoperimetry and rigidity	True	current (in CONTENTS.md)	preprints/Generalized-Cartan-Hadamard-isoperimetry-and-Euclidean-equality-rigidity-September-23-2026/paper.pdf
Generalized-Star-Height-at-Most-Four-September-25-2026	Generalized Star Height at Most Four	OpenAI	September 25, 2026 (from directory name)	134	Generalized star height at most three	True	current (in CONTENTS.md)	preprints/Generalized-Star-Height-at-Most-Four-September-25-2026/Generalized-Star-Height-at-Most-Four-September-25-2026.pdf
Generalized-Star-Height-at-Most-Three-September-25-2026	Generalized Star Height at Most Three	OpenAI	September 25, 2026 (from directory name)	134	Generalized star height at most three	True	current (in CONTENTS.md)	preprints/Generalized-Star-Height-at-Most-Three-September-25-2026/article.pdf
Generalized-ionization-energies-for-full-Coulomb-atoms-September-24-2026	Generalized ionization energies for full Coulomb atoms	OpenAI	September 24, 2026	263	The ionization and generalized ionization conjectures	True	current (in CONTENTS.md)	preprints/Generalized-ionization-energies-for-full-Coulomb-atoms-September-24-2026/paper.pdf
Generalized-outer-electron-radii-of-neutral-Coulomb-atoms-September-24-2026	Generalized outer-electron radii of neutral Coulomb atoms	OpenAI	September 24, 2026	263	The ionization and generalized ionization conjectures	True	current (in CONTENTS.md)	preprints/Generalized-outer-electron-radii-of-neutral-Coulomb-atoms-September-24-2026/paper.pdf
Generic-C1-Future-Inextendibility-Near-Rotating-Subextremal-Kerr-Spacetimes-September-23-2026	Generic C¹ Future Inextendibility Near Rotating Subextremal Kerr Spacetimes	OpenAI	September 23, 2026	264	Strong cosmic censorship near two-ended Kerr data	False	current (in CONTENTS.md)	preprints/Generic-C1-Future-Inextendibility-Near-Rotating-Subextremal-Kerr-Spacetimes-September-23-2026/paper.pdf
Generic-Future-Inextendibility-with-Square-Integrable-Connection-Near-a-Fixed-Kerr-Spacetime-September-23-2026	Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime	OpenAI	September 23, 2026	264	Strong cosmic censorship near two-ended Kerr data	False	current (in CONTENTS.md)	preprints/Generic-Future-Inextendibility-with-Square-Integrable-Connection-Near-a-Fixed-Kerr-Spacetime-September-23-2026/paper.pdf
Geometric-Programs-for-Solenoidal-Forcing-September-27-2026	Geometric Programs for Solenoidal Forcing	OpenAI	September 27, 2026	376	Universal computation in forced Navier–Stokes flows	True	current (in CONTENTS.md)	preprints/Geometric-Programs-for-Solenoidal-Forcing-September-27-2026/manuscript.pdf
Giglis-distributional-curvature-characterization-of-Alexandrov-spaces-September-24-2026	Gigli's distributional curvature characterization of Alexandrov spaces	OpenAI	September 24, 2026	356	Gigli’s characterization of Alexandrov curvature	True	current (in CONTENTS.md)	preprints/Giglis-distributional-curvature-characterization-of-Alexandrov-spaces-September-24-2026/main.pdf
Global-Arthur-Enhancements-of-Cuspidal-Excursion-Parameters-October-5-2026	Global Arthur Enhancements of Cuspidal Excursion Parameters	OpenAI	October 5, 2026	014	Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan	False	current (in CONTENTS.md)	preprints/Global-Arthur-Enhancements-of-Cuspidal-Excursion-Parameters-October-5-2026/manuscript.pdf
Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII-September-24-2026	Global Spherical Shells on Minimal Surfaces of Class VII	OpenAI	September 24, 2026	060	The Global Spherical Shell conjecture	False	current (in CONTENTS.md)	preprints/Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII-September-24-2026/paper.pdf
Global-Support-and-Convex-Injectivity-Domains-under-Weak-MTW-September-25-2026	Global Support and Convex Injectivity Domains under Weak MTW	OpenAI	September 25, 2026	360	Weak MTW curvature gives convexity and regular optimal transport	True	current (in CONTENTS.md)	preprints/Global-Support-and-Convex-Injectivity-Domains-under-Weak-MTW-September-25-2026/paper.pdf
Global-Uniqueness-for-the-Smooth-Isotropic-Elasticity-Inverse-Problem-September-24-2026	Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem	OpenAI	September 24, 2026	372	Global uniqueness in smooth isotropic elasticity	True	current (in CONTENTS.md)	preprints/Global-Uniqueness-for-the-Smooth-Isotropic-Elasticity-Inverse-Problem-September-24-2026/article.pdf
Global-classical-solutions-of-the-three-dimensional-relativistic-Vlasov-Maxwell-system-September-23-2026	Global classical solutions of the three-dimensional relativistic Vlasov–Maxwell system	OpenAI	September 23, 2026	362	Global smoothness for relativistic Vlasov–Maxwell	True	current (in CONTENTS.md)	preprints/Global-classical-solutions-of-the-three-dimensional-relativistic-Vlasov-Maxwell-system-September-23-2026/paper.pdf
Global-quantum-geometric-Langlands-at-irrational-level-October-4-2026	Global quantum geometric Langlands at irrational level	OpenAI	October 4, 2026	069	Global quantum geometric Langlands at irrational level	False	current (in CONTENTS.md)	preprints/Global-quantum-geometric-Langlands-at-irrational-level-October-4-2026/quantum-langlands.pdf
Goldfelds-analytic-density-conjecture-and-the-2-converse-for-elliptic-curves-October-7-2026	Goldfeld's analytic density conjecture and the 2-converse for elliptic curves	OpenAI	October 7, 2026	006	Goldfeld’s conjecture: densities and mean analytic rank	False	current (in CONTENTS.md)	preprints/Goldfelds-analytic-density-conjecture-and-the-2-converse-for-elliptic-curves-October-7-2026/paper.pdf
Goldfelds-analytic-density-conjecture-and-the-2-converse-for-elliptic-curves-September-23-2026	Goldfeld's analytic density conjecture and the 2-converse for elliptic curves	OpenAI	September 23, 2026				previous version, superseded by Goldfelds-analytic-density-conjecture-and-the-2-converse-for-elliptic-curves-October-7-2026	preprints/Goldfelds-analytic-density-conjecture-and-the-2-converse-for-elliptic-curves-September-23-2026/paper.pdf
Graph-Decompositions-at-the-Integral-Expectation-Threshold-October-5-2026	Graph Decompositions at the Integral Expectation Threshold	OpenAI	October 5, 2026	175	Talagrand’s expectation thresholds, discrete convexity, and graph decompositions	True	current (in CONTENTS.md)	preprints/Graph-Decompositions-at-the-Integral-Expectation-Threshold-October-5-2026/graph-threshold-decompositions.pdf
Ground-state-condensation-in-the-dilute-hard-sphere-gas-September-24-2026	Ground-state condensation in the dilute hard-sphere gas	OpenAI	September 24, 2026 (from directory name)	267	Positive-temperature Bose–Einstein condensation and exact quantum depletion	True	current (in CONTENTS.md)	preprints/Ground-state-condensation-in-the-dilute-hard-sphere-gas-September-24-2026/paper.pdf
Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-October-5-2026	Hamiltonian Fixed Points Below the Stable Morse Number	OpenAI	October 5, 2026	347	Counterexamples to stable-Morse and strong Arnold fixed-point bounds	True	current (in CONTENTS.md)	preprints/Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-October-5-2026/paper.pdf
Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-in-Dimension-Twenty-Two-October-5-2026	Hamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two	OpenAI	October 5, 2026	347	Counterexamples to stable-Morse and strong Arnold fixed-point bounds	True	current (in CONTENTS.md)	preprints/Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-in-Dimension-Twenty-Two-October-5-2026/hamiltonian-fixed-points-below-stable-morse-number.pdf
Hard-sphere-fluctuations-on-the-regular-Boltzmann-lifespan-September-23-2026	Hard-sphere fluctuations on the regular Boltzmann lifespan	OpenAI	September 23, 2026	364	Kinetic limits and fluctuations over the Boltzmann lifespan	False	current (in CONTENTS.md)	preprints/Hard-sphere-fluctuations-on-the-regular-Boltzmann-lifespan-September-23-2026/paper.pdf
Hardness-of-finding-large-independent-sets-in-three-colorable-graphs-September-24-2026	Hardness of finding large independent sets in three-colorable graphs	OpenAI	September 24, 2026	106	Hardness of coloring three-colorable graphs	True	current (in CONTENTS.md)	preprints/Hardness-of-finding-large-independent-sets-in-three-colorable-graphs-September-24-2026/Hardness-of-finding-large-independent-sets-in-three-colorable-graphs-September-24-2026.pdf
Harmonic-heights-and-the-Artin-K-pi-1-conjecture-September-23-2026	Harmonic heights and the Artin K(π,1) conjecture	OpenAI	September 23, 2026	254	Classifying spaces and geometric obstructions for Artin groups	True	current (in CONTENTS.md)	preprints/Harmonic-heights-and-the-Artin-K-pi-1-conjecture-September-23-2026/paper.pdf
Hellinger-contraction-with-arbitrary-Boolean-output-bias-September-24-2026	Hellinger contraction with arbitrary Boolean output bias	OpenAI	September 24, 2026	119	The Courtade–Kumar and Hellinger conjectures	True	current (in CONTENTS.md)	preprints/Hellinger-contraction-with-arbitrary-Boolean-output-bias-September-24-2026/main.pdf
Hilberts-tenth-problem-over-the-rational-numbers-October-6-2026	Hilbert's tenth problem over the rational numbers	OpenAI	October 6, 2026	004	Hilbert’s tenth problem over ℚ	False	current (in CONTENTS.md)	preprints/Hilberts-tenth-problem-over-the-rational-numbers-October-6-2026/main.pdf
Hilberts-tenth-problem-over-the-rational-numbers-September-24-2026	Hilbert's tenth problem over the rational numbers	OpenAI	September 24, 2026				previous version, superseded by Hilberts-tenth-problem-over-the-rational-numbers-October-6-2026	preprints/Hilberts-tenth-problem-over-the-rational-numbers-September-24-2026/main.pdf
Homogeneous-depth-five-lower-bounds-for-iterated-matrix-multiplication-September-25-2026	Homogeneous depth-five lower bounds for iterated matrix multiplication	OpenAI	September 25, 2026 (from directory name)	135	Homogeneous depth-five lower bounds for iterated matrix multiplication	True	current (in CONTENTS.md)	preprints/Homogeneous-depth-five-lower-bounds-for-iterated-matrix-multiplication-September-25-2026/Homogeneous-depth-five-lower-bounds-for-iterated-matrix-multiplication-September-25-2026.pdf
Hyperbolicity-Cones-Without-Semidefinite-Lifts-October-5-2026	Hyperbolicity Cones Without Semidefinite Lifts	OpenAI	October 5, 2026	095	Hyperbolicity cones without semidefinite lifts	True	current (in CONTENTS.md)	preprints/Hyperbolicity-Cones-Without-Semidefinite-Lifts-October-5-2026/nonliftable-hyperbolicity.pdf
Incompressible-Box-Transport-and-Finite-Computation-October-6-2026	Incompressible Box Transport and Finite Computation	OpenAI	October 6, 2026	376	Universal computation in forced Navier–Stokes flows	True	current (in CONTENTS.md)	preprints/Incompressible-Box-Transport-and-Finite-Computation-October-6-2026/manuscript.pdf
Incompressible-Box-Transport-and-Finite-Computation-September-27-2026	Incompressible Box Transport and Finite Computation	OpenAI	September 27, 2026				previous version, superseded by Incompressible-Box-Transport-and-Finite-Computation-October-6-2026	preprints/Incompressible-Box-Transport-and-Finite-Computation-September-27-2026/manuscript.pdf
Independent-products-in-real-L1-asymptotic-midpoint-convexity-without-AUC-renormings-September-27-2026	Independent products in real L1: asymptotic midpoint convexity without AUC renormings	OpenAI	September 27, 2026 (from directory name)	331	Reflexive midpoint convexity and diamond distortion	True	current (in CONTENTS.md)	preprints/Independent-products-in-real-L1-asymptotic-midpoint-convexity-without-AUC-renormings-September-27-2026/manuscript.pdf
Infinitely-many-closed-geodesic-images-on-every-Riemannian-sphere-September-24-2026	Infinitely many closed geodesic images on every Riemannian sphere	OpenAI	September 24, 2026	345	Infinitely many closed geodesics on Riemannian spheres and closed three-manifolds	False	current (in CONTENTS.md)	preprints/Infinitely-many-closed-geodesic-images-on-every-Riemannian-sphere-September-24-2026/paper.pdf
Integer-multiplication-below-n-log-n-September-23-2026	Integer multiplication below n log n	OpenAI	September 23, 2026	109	Integer multiplication below $`n\log n`$	False	current (in CONTENTS.md)	preprints/Integer-multiplication-below-n-log-n-September-23-2026/paper.pdf
Integrability-of-split-tangent-bundles-on-rationally-connected-manifolds-September-23-2026	Integrability of split tangent bundles on rationally connected manifolds	OpenAI	September 23, 2026	052	Tangent splittings and product decompositions	True	current (in CONTENTS.md)	preprints/Integrability-of-split-tangent-bundles-on-rationally-connected-manifolds-September-23-2026/main.pdf
Integrable-metrics-and-effectivity-with-controlled-boundary-September-26-2026	Integrable metrics and effectivity with controlled boundary	OpenAI	September 26, 2026 (from directory name)	068	Anticanonical nonvanishing in every dimension	False	current (in CONTENTS.md)	preprints/Integrable-metrics-and-effectivity-with-controlled-boundary-September-26-2026/main.pdf
Integral-Donovan-Finiteness-over-Witt-Vectors-September-25-2026	Integral Donovan Finiteness over Witt Vectors	OpenAI	September 25, 2026	203	Donovan's conjecture over fields and complete mixed-characteristic DVRs	False	current (in CONTENTS.md)	preprints/Integral-Donovan-Finiteness-over-Witt-Vectors-September-25-2026/main.pdf
Integral-and-fractional-expectation-thresholds-are-equivalent-September-23-2026	Integral and fractional expectation thresholds are equivalent	OpenAI	September 23, 2026	175	Talagrand’s expectation thresholds, discrete convexity, and graph decompositions	True	current (in CONTENTS.md)	preprints/Integral-and-fractional-expectation-thresholds-are-equivalent-September-23-2026/paper.pdf
Integral-points-on-character-varieties-of-curves-September-25-2026	Integral points on character varieties of curves	OpenAI	September 25, 2026	027	Potential integral density on curve character varieties	True	current (in CONTENTS.md)	preprints/Integral-points-on-character-varieties-of-curves-September-25-2026/paper.pdf
Interior-regularity-of-planar-Mumford-Shah-minimizers-September-24-2026	Interior regularity of planar Mumford–Shah minimizers	OpenAI	September 24, 2026	366	The planar Mumford–Shah regularity conjecture and local weak-L4 gradient bounds	False	current (in CONTENTS.md)	preprints/Interior-regularity-of-planar-Mumford-Shah-minimizers-September-24-2026/Interior-regularity-of-planar-Mumford-Shah-minimizers-September-24-2026.pdf
Invariant-anticanonical-indices-and-conversion-of-twisted-differentials-September-26-2026	Invariant anticanonical indices and conversion of twisted differentials	OpenAI	September 26, 2026 (from directory name)	068	Anticanonical nonvanishing in every dimension	False	current (in CONTENTS.md)	preprints/Invariant-anticanonical-indices-and-conversion-of-twisted-differentials-September-26-2026/main.pdf
Invariant-projection-counterexamples-for-every-irrational-rotation-September-27-2026	Invariant-projection counterexamples for every irrational rotation	OpenAI	September 27, 2026	293	Invariant projections, hyperinvariant subspaces, and transitive algebras	True	current (in CONTENTS.md)	preprints/Invariant-projection-counterexamples-for-every-irrational-rotation-September-27-2026/paper.pdf
Irrational-cubic-fourfolds-with-geometric-K3-categories-September-24-2026	Irrational cubic fourfolds with geometric K3 categories	OpenAI	September 24, 2026	054	Irrational cubic fourfolds with Hodge-theoretic and categorical K3 associations	False	current (in CONTENTS.md)	preprints/Irrational-cubic-fourfolds-with-geometric-K3-categories-September-24-2026/Irrational-cubic-fourfolds-with-geometric-K3-categories-September-24-2026.pdf
Kadisons-similarity-theorem-through-uniform-derivation-estimates-September-23-2026	Kadison's similarity theorem through uniform derivation estimates	OpenAI	September 23, 2026	288	Kadison's similarity conjecture	True	current (in CONTENTS.md)	preprints/Kadisons-similarity-theorem-through-uniform-derivation-estimates-September-23-2026/paper.pdf
Koebes-Circle-Domain-Conjecture-September-23-2026	Koebe's Circle-Domain Conjecture	OpenAI	September 23, 2026	071	Koebe’s circle-domain conjecture	True	current (in CONTENTS.md)	preprints/Koebes-Circle-Domain-Conjecture-September-23-2026/paper.pdf
L1-Embeddings-of-Graphs-of-Bounded-Treewidth-September-23-2026	$L_1$ Embeddings of Graphs of Bounded Treewidth	OpenAI	September 23, 2026	089	Bounded-distortion L1 embeddings of planar and bounded-treewidth graphs	True	current (in CONTENTS.md)	preprints/L1-Embeddings-of-Graphs-of-Bounded-Treewidth-September-23-2026/paper.pdf
Lechs-multiplicity-conjecture-September-23-2026	Lech's multiplicity conjecture	OpenAI	September 23, 2026	194	Lech’s multiplicity conjecture	True	current (in CONTENTS.md)	preprints/Lechs-multiplicity-conjecture-September-23-2026/paper.pdf
Lifting-sections-from-the-reduced-support-of-an-adjoint-September-27-2026	Lifting sections from the reduced support of an adjoint	OpenAI	September 27, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Lifting-sections-from-the-reduced-support-of-an-adjoint-September-27-2026/paper.pdf
Linear-Variance-of-the-Random-3-SAT-Hitting-Time-October-5-2026	Linear Variance of the Random 3-SAT Hitting Time	OpenAI	October 5, 2026	235	Limiting random SAT thresholds, sharp variance and computability	True	current (in CONTENTS.md)	preprints/Linear-Variance-of-the-Random-3-SAT-Hitting-Time-October-5-2026/linear-variance-of-the-random-3-sat-hitting-time.pdf
Lipschitz-Equivalent-Separable-Banach-Spaces-Need-Not-Be-Linearly-Isomorphic-September-24-2026	Lipschitz Equivalent Separable Banach Spaces Need Not Be Linearly Isomorphic	OpenAI	September 24, 2026	324	Lipschitz equivalent Banach spaces need not be linearly isomorphic	True	current (in CONTENTS.md)	preprints/Lipschitz-Equivalent-Separable-Banach-Spaces-Need-Not-Be-Linearly-Isomorphic-September-24-2026/paper.pdf
Localization-costs-and-information-growth-for-exact-Gaussian-observations-September-27-2026	Localization costs and information growth for exact Gaussian observations	OpenAI	September 27, 2026	140	Memory–sample lower bounds for noiseless Gaussian regression	True	current (in CONTENTS.md)	preprints/Localization-costs-and-information-growth-for-exact-Gaussian-observations-September-27-2026/paper.pdf
Log-abundance-for-compact-Kahler-spaces-under-logarithmic-Iitaka-subadditivity-October-4-2026	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	OpenAI	October 4, 2026				previous version, superseded by Log-abundance-for-compact-Kahler-spaces-under-logarithmic-Iitaka-subadditivity-October-6-2026	preprints/Log-abundance-for-compact-Kahler-spaces-under-logarithmic-Iitaka-subadditivity-October-4-2026/main.pdf
Log-abundance-for-compact-Kahler-spaces-under-logarithmic-Iitaka-subadditivity-October-6-2026	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	OpenAI	October 6, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Log-abundance-for-compact-Kahler-spaces-under-logarithmic-Iitaka-subadditivity-October-6-2026/main.pdf
Log-abundance-in-characteristic-zero-September-24-2026	Log abundance in characteristic zero	OpenAI	September 24, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Log-abundance-in-characteristic-zero-September-24-2026/paper.pdf
Log-abundance-in-numerical-dimension-one-for-threefolds-in-positive-characteristic-October-5-2026	Log abundance in numerical dimension one for threefolds in positive characteristic	OpenAI	October 5, 2026	035	Log-canonical threefold abundance in numerical dimension one	False	current (in CONTENTS.md)	preprints/Log-abundance-in-numerical-dimension-one-for-threefolds-in-positive-characteristic-October-5-2026/paper.pdf
Logarithmic-Kodaira-dimension-and-whole-fiber-variation-September-26-2026	Logarithmic Kodaira dimension and whole-fiber variation	OpenAI	September 26, 2026	033	Iitaka subadditivity, variation, and logarithmic additivity	True	current (in CONTENTS.md)	preprints/Logarithmic-Kodaira-dimension-and-whole-fiber-variation-September-26-2026/paper.pdf
Logarithmic-Relative-Fluctuations-in-the-Weakly-Disordered-Planar-Ising-Model-October-5-2026	Logarithmic Relative Fluctuations in the Weakly Disordered Planar Ising Model	OpenAI	October 5, 2026	218	Conformal universality for weakly interacting and random-bond Ising models	True	current (in CONTENTS.md)	preprints/Logarithmic-Relative-Fluctuations-in-the-Weakly-Disordered-Planar-Ising-Model-October-5-2026/critical-relative-second-moment-weak-random-bond-ising.pdf
Marked-polygon-correlations-and-one-arc-bounds-September-26-2026	Marked polygon correlations and one-arc bounds	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Marked-polygon-correlations-and-one-arc-bounds-September-26-2026/main.pdf
Mass-and-covering-exponents-for-fixed-length-honeycomb-walks-September-26-2026	Mass and covering exponents for fixed-length honeycomb walks	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Mass-and-covering-exponents-for-fixed-length-honeycomb-walks-September-26-2026/main.pdf
Matrix-Multiplication-Nine-Fourths-October-2-2026	An Upper Bound of 9/4 for the Matrix Multiplication Exponent	OpenAI	October 2, 2026	107	Matrix multiplication with exponent at most 9/4	True	current (in CONTENTS.md)	preprints/Matrix-Multiplication-Nine-Fourths-October-2-2026/paper.pdf
Maximal-Multipoint-Seshadri-Constants-in-Higher-Dimensions-October-5-2026	Maximal Multipoint Seshadri Constants in Higher Dimensions	OpenAI	October 5, 2026	039	Nagata’s conjecture and maximal Seshadri constants	True	current (in CONTENTS.md)	preprints/Maximal-Multipoint-Seshadri-Constants-in-Higher-Dimensions-October-5-2026/main.pdf
Maximal-Seshadri-Constants-on-Arbitrary-Polarized-Surfaces-September-23-2026	Maximal Seshadri constants on arbitrary polarized surfaces	OpenAI	September 23, 2026	039	Nagata’s conjecture and maximal Seshadri constants	True	current (in CONTENTS.md)	preprints/Maximal-Seshadri-Constants-on-Arbitrary-Polarized-Surfaces-September-23-2026/main.pdf
Maximal-multipoint-Seshadri-constants-in-positive-characteristic-October-5-2026	Maximal multipoint Seshadri constants in positive characteristic	OpenAI	October 5, 2026	039	Nagata’s conjecture and maximal Seshadri constants	True	current (in CONTENTS.md)	preprints/Maximal-multipoint-Seshadri-constants-in-positive-characteristic-October-5-2026/seshadri-positive-characteristic.pdf
Mean-payoff-parity-games-in-quasipolynomial-time-October-5-2026	Mean-payoff parity games in quasipolynomial time	OpenAI	October 5, 2026	104	Quasipolynomial algorithms for mean-payoff, stochastic and parity games	True	current (in CONTENTS.md)	preprints/Mean-payoff-parity-games-in-quasipolynomial-time-October-5-2026/mean-payoff-parity.pdf
Memory-and-precision-in-noiseless-Gaussian-regression-September-27-2026	Memory and precision in noiseless Gaussian regression	OpenAI	September 27, 2026	140	Memory–sample lower bounds for noiseless Gaussian regression	True	current (in CONTENTS.md)	preprints/Memory-and-precision-in-noiseless-Gaussian-regression-September-27-2026/paper.pdf
Metric-Markov-Cotype-Two-of-l1-October-5-2026	Metric Markov Cotype Two of $\ell_1$	OpenAI	October 5, 2026	332	Metric Markov cotype of ℓ1 and Hilbert-space Lipschitz extension	False	current (in CONTENTS.md)	preprints/Metric-Markov-Cotype-Two-of-l1-October-5-2026/l1-markov-cotype.pdf
Metric-descent-and-rank-preserving-contractions-September-26-2026	Metric descent and rank-preserving contractions	OpenAI	September 26, 2026 (from directory name)	068	Anticanonical nonvanishing in every dimension	False	current (in CONTENTS.md)	preprints/Metric-descent-and-rank-preserving-contractions-September-26-2026/main.pdf
Metric-measure-limits-of-subcritical-FK-and-spanning-tree-planar-maps-September-24-2026	Metric-measure limits of subcritical FK and spanning-tree planar maps	OpenAI	September 24, 2026	211	The geometric phase diagram, diffusion, and spectra of random planar maps	True	current (in CONTENTS.md)	preprints/Metric-measure-limits-of-subcritical-FK-and-spanning-tree-planar-maps-September-24-2026/main.pdf
Microscopic-jamming-in-the-negative-spherical-perceptron-September-24-2026	Microscopic jamming in the negative spherical perceptron	OpenAI	September 24, 2026	222	Perceptron free energies and microscopic jamming exponents	True	current (in CONTENTS.md)	preprints/Microscopic-jamming-in-the-negative-spherical-perceptron-September-24-2026/Microscopic-jamming-in-the-negative-spherical-perceptron-September-24-2026.pdf
Midpoint-convexity-from-bounded-tree-potentials-and-path-costs-September-27-2026	Midpoint convexity from bounded tree potentials and path costs	OpenAI	September 27, 2026 (from directory name)	331	Reflexive midpoint convexity and diamond distortion	True	current (in CONTENTS.md)	preprints/Midpoint-convexity-from-bounded-tree-potentials-and-path-costs-September-27-2026/manuscript.pdf
Midpoint-convexity-from-two-recursive-potentials-September-27-2026	Midpoint convexity from two recursive potentials	OpenAI	September 27, 2026 (from directory name)	331	Reflexive midpoint convexity and diamond distortion	True	current (in CONTENTS.md)	preprints/Midpoint-convexity-from-two-recursive-potentials-September-27-2026/manuscript.pdf
Midpoint-lenses-in-segment-spaces-September-27-2026	Midpoint lenses in segment spaces	OpenAI	September 27, 2026 (from directory name)	331	Reflexive midpoint convexity and diamond distortion	True	current (in CONTENTS.md)	preprints/Midpoint-lenses-in-segment-spaces-September-27-2026/manuscript.pdf
Milnes-rationality-conjecture-for-abelian-varieties-October-7-2026	Milne's rationality conjecture for abelian varieties	OpenAI	October 7, 2026	001	Milne’s rationality conjecture and algebraic specialization	False	current (in CONTENTS.md)	preprints/Milnes-rationality-conjecture-for-abelian-varieties-October-7-2026/paper.pdf
Milnes-rationality-conjecture-for-abelian-varieties-September-23-2026	Milne's rationality conjecture for abelian varieties	OpenAI	September 23, 2026				previous version, superseded by Milnes-rationality-conjecture-for-abelian-varieties-October-7-2026	preprints/Milnes-rationality-conjecture-for-abelian-varieties-September-23-2026/paper.pdf
Minimal-metrics-and-interior-injectivity-for-nef-adjoints-September-27-2026	Minimal metrics and interior injectivity for nef adjoints	OpenAI	September 27, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Minimal-metrics-and-interior-injectivity-for-nef-adjoints-September-27-2026/paper.pdf
Minimal-models-and-Mori-fibre-spaces-for-generalized-log-canonical-Q-pairs-September-24-2026	Minimal models and Mori fibre spaces for generalized log canonical Q-pairs	OpenAI	September 24, 2026	036	Numerical semiampleness and generalized minimal models	False	current (in CONTENTS.md)	preprints/Minimal-models-and-Mori-fibre-spaces-for-generalized-log-canonical-Q-pairs-September-24-2026/paper.pdf
Minimal-models-in-numerical-dimension-one-September-24-2026	Minimal models in numerical dimension one	OpenAI	September 24, 2026	036	Numerical semiampleness and generalized minimal models	False	current (in CONTENTS.md)	preprints/Minimal-models-in-numerical-dimension-one-September-24-2026/paper.pdf
Modularity-of-elliptic-curves-over-imaginary-quadratic-fields-October-4-2026	Modularity of elliptic curves over imaginary quadratic fields	OpenAI	October 4, 2026	030	Modularity of elliptic curves over imaginary quadratic fields	False	current (in CONTENTS.md)	preprints/Modularity-of-elliptic-curves-over-imaginary-quadratic-fields-October-4-2026/paper.pdf
Monochromatic-finite-sums-and-products-in-the-positive-integers-September-23-2026	Monochromatic finite sums and products in the positive integers	OpenAI	September 23, 2026	164	Hindman’s finite sums and products conjecture	False	current (in CONTENTS.md)	preprints/Monochromatic-finite-sums-and-products-in-the-positive-integers-September-23-2026/paper.pdf
Nagatas-Conjecture-for-Plane-Curves-September-23-2026	Nagata's conjecture for plane curves	OpenAI	September 23, 2026	039	Nagata’s conjecture and maximal Seshadri constants	True	current (in CONTENTS.md)	preprints/Nagatas-Conjecture-for-Plane-Curves-September-23-2026/main.pdf
Natural-Occupation-Measures-for-Critical-Square-Lattice-FK-Interfaces-October-5-2026	Natural Occupation Measures for Critical Square-Lattice FK Interfaces	OpenAI	October 5, 2026	223	Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling	False	current (in CONTENTS.md)	preprints/Natural-Occupation-Measures-for-Critical-Square-Lattice-FK-Interfaces-October-5-2026/natural-occupation-measures-critical-square-lattice-fk-interfaces.pdf
Near-Inclusions-of-von-Neumann-Algebras-Without-Small-Spatial-Embeddings-October-5-2026	Near Inclusions of von Neumann Algebras Without Small Spatial Embeddings	OpenAI	October 5, 2026	289	Strong Kadison–Kastler stability and its spatial boundaries	True	current (in CONTENTS.md)	preprints/Near-Inclusions-of-von-Neumann-Algebras-Without-Small-Spatial-Embeddings-October-5-2026/near-inclusions.pdf
Near-square-root-logarithmic-integrality-gaps-for-uniform-sparsest-cut-September-24-2026	Near-square-root logarithmic integrality gaps for uniform sparsest cut	OpenAI	September 24, 2026 (from directory name)	117	Uniform sparsest cut: hardness and semidefinite gaps	True	current (in CONTENTS.md)	preprints/Near-square-root-logarithmic-integrality-gaps-for-uniform-sparsest-cut-September-24-2026/Near-square-root-logarithmic-integrality-gaps-for-uniform-sparsest-cut-September-24-2026.pdf
Nearly-minimal-maxima-and-positive-minima-of-Littlewood-polynomials-October-5-2026	Nearly minimal maxima and positive minima of Littlewood polynomials	OpenAI	October 5, 2026	076	Real ultraflat Littlewood polynomials and unbounded binary merit factors	True	current (in CONTENTS.md)	preprints/Nearly-minimal-maxima-and-positive-minima-of-Littlewood-polynomials-October-5-2026/littlewood-lower-envelope.pdf
No-bigeodesics-in-planar-first-passage-percolation-September-24-2026	No bigeodesics in planar first-passage percolation	OpenAI	September 24, 2026	212	Planar first-passage geometry and the absence of bigeodesics	True	current (in CONTENTS.md)	preprints/No-bigeodesics-in-planar-first-passage-percolation-September-24-2026/main.pdf
No-percolation-at-criticality-on-quasi-transitive-graphs-September-24-2026	No percolation at criticality on quasi-transitive graphs	OpenAI	September 24, 2026 (from directory name)	213	Critical percolation on every quasi-transitive graph	True	current (in CONTENTS.md)	preprints/No-percolation-at-criticality-on-quasi-transitive-graphs-September-24-2026/paper.pdf
Nonhomeomorphic-closed-aspherical-four-manifolds-with-the-same-homotopy-type-October-4-2026	Nonhomeomorphic closed aspherical four-manifolds with the same homotopy type	OpenAI	October 4, 2026	320	Nonhomeomorphic closed aspherical four-manifolds	False	current (in CONTENTS.md)	preprints/Nonhomeomorphic-closed-aspherical-four-manifolds-with-the-same-homotopy-type-October-4-2026/paper.pdf
Nonsingular-systems-of-equations-over-arbitrary-groups-October-5-2026	Nonsingular systems of equations over arbitrary groups	OpenAI	October 5, 2026	256	Nonsingular systems of equations over arbitrary groups	True	current (in CONTENTS.md)	preprints/Nonsingular-systems-of-equations-over-arbitrary-groups-October-5-2026/nonsingular-systems-over-arbitrary-groups.pdf
Nontrivial-Markov-Type-Forces-Superreflexivity-September-23-2026	Nontrivial Markov Type Forces Superreflexivity	OpenAI	September 23, 2026	327	Markov type characterizes superreflexivity	True	current (in CONTENTS.md)	preprints/Nontrivial-Markov-Type-Forces-Superreflexivity-September-23-2026/paper.pdf
Nonuniqueness-for-Bounded-Measurable-Scalar-Conductivities-in-Three-Dimensions-September-23-2026	Nonuniqueness for Bounded Measurable Scalar Conductivities in Three Dimensions	OpenAI	September 23, 2026	365	Joint metric and connection recovery from one boundary patch	True	current (in CONTENTS.md)	preprints/Nonuniqueness-for-Bounded-Measurable-Scalar-Conductivities-in-Three-Dimensions-September-23-2026/paper.pdf
Nonuniqueness-for-the-periodic-hard-sphere-Boltzmann-equation-September-23-2026	Nonuniqueness for the periodic hard-sphere Boltzmann equation	OpenAI	September 23, 2026	363	Nonuniqueness with local conservation for the hard-sphere Boltzmann equation	True	current (in CONTENTS.md)	preprints/Nonuniqueness-for-the-periodic-hard-sphere-Boltzmann-equation-September-23-2026/paper.pdf
Nonuniqueness-of-percolation-on-nonamenable-quasi-transitive-graphs-September-24-2026	Nonuniqueness of percolation on nonamenable quasi-transitive graphs	OpenAI	September 24, 2026	214	The Benjamini–Schramm nonuniqueness conjecture	True	current (in CONTENTS.md)	preprints/Nonuniqueness-of-percolation-on-nonamenable-quasi-transitive-graphs-September-24-2026/paper.pdf
Nonuniqueness-with-local-conservation-for-the-hard-sphere-Boltzmann-equation-October-5-2026	Nonuniqueness with local conservation for the hard-sphere Boltzmann equation	OpenAI	October 5, 2026	363	Nonuniqueness with local conservation for the hard-sphere Boltzmann equation	True	current (in CONTENTS.md)	preprints/Nonuniqueness-with-local-conservation-for-the-hard-sphere-Boltzmann-equation-October-5-2026/paper.pdf
Nuclear-dimension-and-Jiang-Su-stability-without-elementary-subquotients-September-23-2026	Nuclear dimension and Jiang–Su stability without elementary subquotients	OpenAI	September 23, 2026 (from directory name)	291	Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability	True	current (in CONTENTS.md)	preprints/Nuclear-dimension-and-Jiang-Su-stability-without-elementary-subquotients-September-23-2026/paper.pdf
Numerical-Semiampleness-of-Nef-Adjoint-Divisors-October-3-2026	Numerical Semiampleness of Nef Adjoint Divisors	OpenAI	October 3, 2026	036	Numerical semiampleness and generalized minimal models	False	current (in CONTENTS.md)	preprints/Numerical-Semiampleness-of-Nef-Adjoint-Divisors-October-3-2026/paper.pdf
Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds-October-4-2026	Numerical semiampleness of nef adjoint classes on compact Kähler manifolds	OpenAI	October 4, 2026				previous version, superseded by Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds-October-6-2026	preprints/Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds-October-4-2026/numerical-generalized-abundance.pdf
Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds-October-6-2026	Numerical semiampleness of nef adjoint classes on compact Kähler manifolds	OpenAI	October 6, 2026	036	Numerical semiampleness and generalized minimal models	False	current (in CONTENTS.md)	preprints/Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds-October-6-2026/numerical-generalized-abundance.pdf
One-Rational-Matrix-Hitting-Point-for-Noncommutative-Formulas-September-24-2026	One Rational Matrix Hitting Point for Noncommutative Formulas	OpenAI	September 24, 2026	116	Uniform black-box noncommutative identity testing across characteristics	True	current (in CONTENTS.md)	preprints/One-Rational-Matrix-Hitting-Point-for-Noncommutative-Formulas-September-24-2026/One-Rational-Matrix-Hitting-Point-for-Noncommutative-Formulas-September-24-2026.pdf
One-Sample-Suffices-for-Matroid-Prophet-Inequalities-against-an-Almighty-Adversary-September-23-2026	One Sample Suffices for Matroid Prophet Inequalities against an Almighty Adversary	OpenAI	September 23, 2026	111	One-sample matroid prophet inequalities against an almighty adversary	True	current (in CONTENTS.md)	preprints/One-Sample-Suffices-for-Matroid-Prophet-Inequalities-against-an-Almighty-Adversary-September-23-2026/final.pdf
One-sided-negative-sectional-curvature-and-the-holomorphic-Liouville-property-September-25-2026	One-sided negative sectional curvature and the holomorphic Liouville property	OpenAI	September 25, 2026 (from directory name)	359	Negative Kähler curvature without bounded holomorphic coordinates	True	current (in CONTENTS.md)	preprints/One-sided-negative-sectional-curvature-and-the-holomorphic-Liouville-property-September-25-2026/paper.pdf
Open-Homomorphisms-of-Global-Solvably-Closed-Galois-Groups-October-5-2026	Open Homomorphisms of Global Solvably Closed Galois Groups	OpenAI	October 5, 2026	031	Uchida’s conjecture for open homomorphisms of Galois groups	False	current (in CONTENTS.md)	preprints/Open-Homomorphisms-of-Global-Solvably-Closed-Galois-Groups-October-5-2026/open-homomorphisms-solvably-closed-galois-groups.pdf
Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026	Optimal-order mixing of the Thorp shuffle	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026/paper.pdf
Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026	Orbifold and logarithmic Iitaka subadditivity	OpenAI	September 26, 2026	033	Iitaka subadditivity, variation, and logarithmic additivity	True	current (in CONTENTS.md)	preprints/Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026/paper.pdf
Ordinary-two-point-correlations-of-multiplicative-functions-September-24-2026	Ordinary two-point correlations of multiplicative functions	OpenAI	September 24, 2026	007	Ordinary two-point correlations and the corrected Elliott conjecture	True	current (in CONTENTS.md)	preprints/Ordinary-two-point-correlations-of-multiplicative-functions-September-24-2026/final.pdf
P-equals-W-in-composite-rank-for-fixed-determinant-September-24-2026	P=W in composite rank for fixed determinant	OpenAI	September 24, 2026	043	P = W for fixed-determinant SLn moduli spaces	False	current (in CONTENTS.md)	preprints/P-equals-W-in-composite-rank-for-fixed-determinant-September-24-2026/P-equals-W-in-composite-rank-for-fixed-determinant-September-24-2026.pdf
Paired-states-and-Hamiltonian-cycles-in-cubic-bipartite-planar-graphs-September-24-2026	Paired states and Hamiltonian cycles in cubic bipartite planar graphs	OpenAI	September 24, 2026	180	Barnette’s Hamiltonian-cycle conjecture	True	current (in CONTENTS.md)	preprints/Paired-states-and-Hamiltonian-cycles-in-cubic-bipartite-planar-graphs-September-24-2026/paper.pdf
Parabolic-intersections-in-Artin-groups-September-23-2026	Parabolic Intersections in Artin Groups	OpenAI	September 23, 2026	254	Classifying spaces and geometric obstructions for Artin groups	True	current (in CONTENTS.md)	preprints/Parabolic-intersections-in-Artin-groups-September-23-2026/paper.pdf
Parity-lifts-and-bounded-treewidth-witnesses-for-Weisfeiler-Leman-equivalence-September-25-2026	Parity lifts and bounded-treewidth witnesses for Weisfeiler–Leman equivalence	OpenAI	September 25, 2026	133	The computational complexity of Weisfeiler–Leman refinement	True	current (in CONTENTS.md)	preprints/Parity-lifts-and-bounded-treewidth-witnesses-for-Weisfeiler-Leman-equivalence-September-25-2026/paper.pdf
Path-selection-and-an-elliptic-inequality-on-degenerating-Ricci-flat-trees-September-24-2026	Path selection and an elliptic inequality on degenerating Ricci-flat trees	OpenAI	September 24, 2026 (from directory name)	351	Scalar curvature and finite-time Ricci-flow singularities	False	current (in CONTENTS.md)	preprints/Path-selection-and-an-elliptic-inequality-on-degenerating-Ricci-flat-trees-September-24-2026/paper.pdf
Perfect-completeness-for-2-to-1-games-September-23-2026	Perfect completeness for 2-to-1 games	OpenAI	September 23, 2026	105	Perfect completeness for 2-to-1 games	True	current (in CONTENTS.md)	preprints/Perfect-completeness-for-2-to-1-games-September-23-2026/paper.pdf
Pettys-projection-volume-conjecture-in-dimensions-at-least-four-September-24-2026	Petty’s projection-volume conjecture in dimensions at least four	OpenAI	September 24, 2026	088	Sharp projection-body inequalities and a counterexample to simplex maximization	True	current (in CONTENTS.md)	preprints/Pettys-projection-volume-conjecture-in-dimensions-at-least-four-September-24-2026/paper.pdf
Planar-Graph-Metrics-Embed-into-L1-with-Constant-Distortion-September-23-2026	Planar Graph Metrics Embed into $L_1$ with Constant Distortion	OpenAI	September 23, 2026	089	Bounded-distortion L1 embeddings of planar and bounded-treewidth graphs	True	current (in CONTENTS.md)	preprints/Planar-Graph-Metrics-Embed-into-L1-with-Constant-Distortion-September-23-2026/paper.pdf
Pointwise-Multiple-Ergodic-Averages-for-Mixing-Transformations-October-4-2026	Pointwise Multiple Ergodic Averages for Mixing Transformations	OpenAI	October 4, 2026	154	Pointwise multiple ergodic averages for mixing transformations	False	current (in CONTENTS.md)	preprints/Pointwise-Multiple-Ergodic-Averages-for-Mixing-Transformations-October-4-2026/multiple-ergodic-averages.pdf
Pointwise-convergence-of-fourfold-ergodic-averages-for-mixing-transformations-October-4-2026	Pointwise convergence of fourfold ergodic averages for mixing transformations	OpenAI	October 4, 2026	154	Pointwise multiple ergodic averages for mixing transformations	False	current (in CONTENTS.md)	preprints/Pointwise-convergence-of-fourfold-ergodic-averages-for-mixing-transformations-October-4-2026/fourfold-ergodic-averages.pdf
Pointwise-convergence-of-triple-ergodic-averages-for-mixing-transformations-October-4-2026	Pointwise convergence of triple ergodic averages for mixing transformations	OpenAI	October 4, 2026	154	Pointwise multiple ergodic averages for mixing transformations	False	current (in CONTENTS.md)	preprints/Pointwise-convergence-of-triple-ergodic-averages-for-mixing-transformations-October-4-2026/pointwise-triple-ergodic-averages-mixing-transformations.pdf
Polynomial-Hitting-Lists-for-Noncommutative-Rational-Formulas-September-24-2026	Polynomial Hitting Lists for Noncommutative Rational Formulas	OpenAI	September 24, 2026	116	Uniform black-box noncommutative identity testing across characteristics	True	current (in CONTENTS.md)	preprints/Polynomial-Hitting-Lists-for-Noncommutative-Rational-Formulas-September-24-2026/Polynomial-Hitting-Lists-for-Noncommutative-Rational-Formulas-September-24-2026.pdf
Polynomial-Mixing-of-the-Switch-Chain-for-Every-Graphical-Degree-Sequence-September-25-2026	Polynomial mixing of the switch chain for every graphical degree sequence	OpenAI	September 25, 2026	131	Rapid mixing of graph switches for every degree sequence	True	current (in CONTENTS.md)	preprints/Polynomial-Mixing-of-the-Switch-Chain-for-Every-Graphical-Degree-Sequence-September-25-2026/main.pdf
Polynomial-PEPS-approximation-of-gapped-square-grid-ground-states-September-24-2026	Polynomial PEPS approximation of gapped square-grid ground states	OpenAI	September 24, 2026	265	Area laws and tensor networks for two-dimensional gapped systems	False	current (in CONTENTS.md)	preprints/Polynomial-PEPS-approximation-of-gapped-square-grid-ground-states-September-24-2026/paper.pdf
Polynomial-Time-Unitary-Synthesis-from-a-Boolean-Oracle-October-5-2026	Polynomial-Time Unitary Synthesis from a Boolean Oracle	OpenAI	October 5, 2026	283	Polynomial-time unitary synthesis from a Boolean oracle	False	current (in CONTENTS.md)	preprints/Polynomial-Time-Unitary-Synthesis-from-a-Boolean-Oracle-October-5-2026/paper.pdf
Polynomial-removal-fails-for-ordered-binary-matrices-September-25-2026	Polynomial removal fails for ordered binary matrices	OpenAI	September 25, 2026	190	Polynomial removal fails for ordered binary matrices	True	current (in CONTENTS.md)	preprints/Polynomial-removal-fails-for-ordered-binary-matrices-September-25-2026/paper.pdf
Polynomial-vacuum-representations-and-bridge-mass-for-honeycomb-walks-September-26-2026	Polynomial vacuum representations and bridge mass for honeycomb walks	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Polynomial-vacuum-representations-and-bridge-mass-for-honeycomb-walks-September-26-2026/main.pdf
Positive-Metric-Entropy-for-the-Standard-Map-at-Large-Parameters-September-23-2026	Positive Metric Entropy for the Standard Map at Large Parameters	OpenAI	September 23, 2026	146	Positive metric entropy for the standard map	True	current (in CONTENTS.md)	preprints/Positive-Metric-Entropy-for-the-Standard-Map-at-Large-Parameters-September-23-2026/paper.pdf
Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian-October-5-2026	Positive eigenvalues of the relative SU(2) BFSS Hamiltonian	OpenAI	October 5, 2026	270	Threshold and positive-energy bound states of the BFSS matrix model	False	current (in CONTENTS.md)	preprints/Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian-October-5-2026/positive-eigenvalues-relative-su2-bfss.pdf
Positive-lower-density-of-large-prime-gaps-September-25-2026	Positive lower density of large prime gaps	OpenAI	September 25, 2026	026	Positive lower density of large prime gaps	True	current (in CONTENTS.md)	preprints/Positive-lower-density-of-large-prime-gaps-September-25-2026/main.pdf
Positive-scalar-curvature-and-uniform-codimension-two-width-September-23-2026	Positive scalar curvature and uniform codimension-two width	OpenAI	September 23, 2026	336	Spectral scalar curvature, Urysohn width, and macroscopic dimension	False	current (in CONTENTS.md)	preprints/Positive-scalar-curvature-and-uniform-codimension-two-width-September-23-2026/paper.pdf
Positive-scalar-curvature-forces-rational-inessentiality-September-23-2026	Positive scalar curvature forces rational inessentiality	OpenAI	September 23, 2026 (from directory name)	335	Gromov’s integral scalar-curvature bound for simplicial volume	False	current (in CONTENTS.md)	preprints/Positive-scalar-curvature-forces-rational-inessentiality-September-23-2026/paper.pdf
Positively-curved-Einstein-four-manifolds-September-23-2026	Positively curved Einstein four-manifolds	OpenAI	September 23, 2026	348	Nonnegative-curvature Einstein classification and an L2 topological gap	True	current (in CONTENTS.md)	preprints/Positively-curved-Einstein-four-manifolds-September-23-2026/paper.pdf
Positivity-of-Serres-Intersection-Multiplicity-September-23-2026	Positivity of Serre's Intersection Multiplicity	OpenAI	September 23, 2026	193	Serre’s intersection-multiplicity conjecture	False	current (in CONTENTS.md)	preprints/Positivity-of-Serres-Intersection-Multiplicity-September-23-2026/paper.pdf
Posterior-replicas-and-conditional-information-in-Gaussian-regression-September-27-2026	Posterior replicas and conditional information in Gaussian regression	OpenAI	September 27, 2026	140	Memory–sample lower bounds for noiseless Gaussian regression	True	current (in CONTENTS.md)	preprints/Posterior-replicas-and-conditional-information-in-Gaussian-regression-September-27-2026/paper.pdf
Power-law-violations-of-Yaus-nodal-upper-bound-September-23-2026	Power-law violations of Yau's nodal upper bound	OpenAI	September 23, 2026	350	Yau’s nodal bounds: surfaces and higher dimensions	True	current (in CONTENTS.md)	preprints/Power-law-violations-of-Yaus-nodal-upper-bound-September-23-2026/paper.pdf
Prefix-Instructions-and-Incompressible-Flows-September-27-2026	Prefix Instructions and Incompressible Flows	OpenAI	September 27, 2026	376	Universal computation in forced Navier–Stokes flows	True	current (in CONTENTS.md)	preprints/Prefix-Instructions-and-Incompressible-Flows-September-27-2026/manuscript.pdf
Prescribed-large-volume-charges-on-threefolds-with-trivial-canonical-bundle-September-24-2026	Prescribed large-volume charges on threefolds with trivial canonical bundle	OpenAI	September 24, 2026 (from directory name)	055	Gepner symmetry and large-volume stability on threefolds	False	current (in CONTENTS.md)	preprints/Prescribed-large-volume-charges-on-threefolds-with-trivial-canonical-bundle-September-24-2026/paper.pdf
Prime-Predecessors-with-an-Even-Number-of-Prime-Factors-September-17-2026	Prime Predecessors with an Even Number of Prime Factors	OpenAI	September 17, 2026	011	Prime-factor statistics of $`p-1`$	False	current (in CONTENTS.md)	preprints/Prime-Predecessors-with-an-Even-Number-of-Prime-Factors-September-17-2026/paper.pdf
Primitive-roots-for-every-admissible-integer-base-October-4-2026	Primitive roots for every admissible integer base	OpenAI	October 4, 2026	029	Primitive roots for every admissible integer base	False	current (in CONTENTS.md)	preprints/Primitive-roots-for-every-admissible-integer-base-October-4-2026/primitive-roots-all-integer-bases.pdf
Product-projection-localization-and-the-QAC0-parity-lower-bound-September-24-2026	Product-projection localization and the QAC⁰ parity lower bound	OpenAI	September 24, 2026 (from directory name)	274	Parity is not in QAC0	True	current (in CONTENTS.md)	preprints/Product-projection-localization-and-the-QAC0-parity-lower-bound-September-24-2026/paper.pdf
Projection-moments-positive-cap-domination-and-Riesz-estimates-on-the-sphere-September-27-2026	Projection moments, positive cap domination, and Riesz estimates on the sphere	OpenAI	September 27, 2026	140	Memory–sample lower bounds for noiseless Gaussian regression	True	current (in CONTENTS.md)	preprints/Projection-moments-positive-cap-domination-and-Riesz-estimates-on-the-sphere-September-27-2026/paper.pdf
Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity-September-27-2026	Projective Hodge lines and ordinary Iitaka subadditivity	OpenAI	September 27, 2026	033	Iitaka subadditivity, variation, and logarithmic additivity	True	current (in CONTENTS.md)	preprints/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity-September-27-2026/paper.pdf
Projective-Space-Bases-of-Lagrangian-Fibrations-September-23-2026	Projective-space bases of Lagrangian fibrations	OpenAI	September 23, 2026	041	Hyperkähler SYZ and projective-space bases	False	current (in CONTENTS.md)	preprints/Projective-Space-Bases-of-Lagrangian-Fibrations-September-23-2026/main.pdf
Pure-Point-Spectrum-for-the-Two-Dimensional-Anderson-Model-at-Every-Positive-Disorder-September-23-2026	Pure-Point Spectrum for the Two-Dimensional Anderson Model at Every Positive Disorder	OpenAI	September 23, 2026	261	Localization and delocalization in the Anderson model	True	current (in CONTENTS.md)	preprints/Pure-Point-Spectrum-for-the-Two-Dimensional-Anderson-Model-at-Every-Positive-Disorder-September-23-2026/paper.pdf
Purely-Cosmetic-Surgery-on-Knots-in-the-Three-Sphere-September-23-2026	Purely cosmetic surgery on knots in the three-sphere	OpenAI	September 23, 2026 (from directory name)	306	The purely cosmetic surgery conjecture	False	current (in CONTENTS.md)	preprints/Purely-Cosmetic-Surgery-on-Knots-in-the-Three-Sphere-September-23-2026/paper.pdf
QAOA-attains-the-SK-ground-state-energy-in-the-thermodynamic-first-limit-September-25-2026	QAOA attains the SK ground-state energy in the thermodynamic-first limit	OpenAI	September 25, 2026	281	QAOA attains the SK optimum in the thermodynamic-first limit	True	current (in CONTENTS.md)	preprints/QAOA-attains-the-SK-ground-state-energy-in-the-thermodynamic-first-limit-September-25-2026/QAOA-attains-the-SK-ground-state-energy-in-the-thermodynamic-first-limit-September-25-2026.pdf
QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026	QMA-hardness of continuum Coulomb energy with unit nuclear charges	OpenAI	September 24, 2026	275	QMA-hardness of continuum Coulomb energy	True	current (in CONTENTS.md)	preprints/QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026/QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026.pdf
Quadratic-Stabilization-of-the-Canonical-Foulkes-Howe-Map-September-25-2026	Quadratic stabilization of the canonical Foulkes–Howe map	OpenAI	September 25, 2026	210	Foulkes' conjecture for sixth powers and quadratic stabilization	True	current (in CONTENTS.md)	preprints/Quadratic-Stabilization-of-the-Canonical-Foulkes-Howe-Map-September-25-2026/paper.pdf
Quadratic-Strong-Operator-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026	Quadratic Strong-Operator Paving over Arbitrary Maximal Abelian Subalgebras	OpenAI	September 25, 2026	300	Approximation and quadratic strong-operator paving	False	current (in CONTENTS.md)	preprints/Quadratic-Strong-Operator-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026/Quadratic-Strong-Operator-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026.pdf
Quantitative-Near-Kerr-Evolution-and-Generic-C2-Future-Inextendibility-September-23-2026	Quantitative Near-Kerr Evolution and Generic C² Future Inextendibility	OpenAI	September 23, 2026	264	Strong cosmic censorship near two-ended Kerr data	False	current (in CONTENTS.md)	preprints/Quantitative-Near-Kerr-Evolution-and-Generic-C2-Future-Inextendibility-September-23-2026/paper.pdf
Quantitative-Superexponential-Bounds-for-van-der-Waerden-Numbers-September-23-2026	Quantitative Superexponential Bounds for van der Waerden Numbers	OpenAI	September 23, 2026	160	Superexponential van der Waerden numbers	True	current (in CONTENTS.md)	preprints/Quantitative-Superexponential-Bounds-for-van-der-Waerden-Numbers-September-23-2026/paper.pdf
Quantum-Depletion-and-Momentum-Distribution-in-the-Dilute-Hard-Sphere-Bose-Gas-October-5-2026	Quantum Depletion and Momentum Distribution in the Dilute Hard-Sphere Bose Gas	OpenAI	October 5, 2026	267	Positive-temperature Bose–Einstein condensation and exact quantum depletion	True	current (in CONTENTS.md)	preprints/Quantum-Depletion-and-Momentum-Distribution-in-the-Dilute-Hard-Sphere-Bose-Gas-October-5-2026/Quantum-Depletion-in-the-Dilute-Hard-Sphere-Bose-Gas.pdf
Quantum-Depletion-for-Fixed-Bounded-Repulsive-Potentials-October-5-2026	Quantum Depletion for Fixed Bounded Repulsive Potentials	OpenAI	October 5, 2026	267	Positive-temperature Bose–Einstein condensation and exact quantum depletion	True	current (in CONTENTS.md)	preprints/Quantum-Depletion-for-Fixed-Bounded-Repulsive-Potentials-October-5-2026/fixed-repulsion-quantum-depletion.pdf
Quasipolynomial-Bounds-for-Arithmetic-Progressions-September-23-2026	Quasipolynomial Bounds for Arithmetic Progressions	OpenAI	September 23, 2026	159	Erdős’s reciprocal-sum conjecture and quasipolynomial Szemerédi bounds	True	current (in CONTENTS.md)	preprints/Quasipolynomial-Bounds-for-Arithmetic-Progressions-September-23-2026/paper.pdf
Quaternionic-Division-Points-on-Curves-in-the-Siegel-Threefold-September-24-2026	Quaternionic division points on curves in the Siegel threefold	OpenAI	September 24, 2026	016	Zilber–Pink in abelian varieties and the Siegel threefold	False	current (in CONTENTS.md)	preprints/Quaternionic-Division-Points-on-Curves-in-the-Siegel-Threefold-September-24-2026/paper.pdf
Quenched-SLE-Universality-for-Weakly-Disordered-FK-Ising-Interfaces-October-5-2026	Quenched SLE Universality for Weakly Disordered FK–Ising Interfaces	OpenAI	October 5, 2026	223	Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling	False	current (in CONTENTS.md)	preprints/Quenched-SLE-Universality-for-Weakly-Disordered-FK-Ising-Interfaces-October-5-2026/quenched-fk-ising.pdf
Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model-October-5-2026	Quenched SLE₃ Universality for the Weak Random-Bond Ising Model	OpenAI	October 5, 2026	218	Conformal universality for weakly interacting and random-bond Ising models	True	current (in CONTENTS.md)	preprints/Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model-October-5-2026/quenched-sle3-weak-random-bond-ising.pdf
Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models-October-5-2026	Quenched SLE₃ limits for general weak random-bond Ising models	OpenAI	October 5, 2026	218	Conformal universality for weakly interacting and random-bond Ising models	True	current (in CONTENTS.md)	preprints/Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models-October-5-2026/general-weak-random-bond-ising.pdf
Radial-transfer-estimates-and-polygon-length-laws-for-honeycomb-walks-September-26-2026	Radial transfer estimates and polygon length laws for honeycomb walks	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Radial-transfer-estimates-and-polygon-length-laws-for-honeycomb-walks-September-26-2026/main.pdf
Radius-of-comparison-equals-half-the-mean-dimension-September-25-2026	Radius of comparison equals half the mean dimension	OpenAI	September 25, 2026	302	Radius of comparison equals half the mean dimension	False	current (in CONTENTS.md)	preprints/Radius-of-comparison-equals-half-the-mean-dimension-September-25-2026/paper.pdf
Ramanujan-Arthur-Decompositions-of-Cuspidal-Functions-at-Full-Finite-Level-September-24-2026	Ramanujan-Arthur Decompositions of Cuspidal Functions at Full Finite Level	OpenAI	September 24, 2026	014	Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan	False	current (in CONTENTS.md)	preprints/Ramanujan-Arthur-Decompositions-of-Cuspidal-Functions-at-Full-Finite-Level-September-24-2026/paper.pdf
Random-Walks-on-Critical-FK-Ising-Maps-and-Liouville-Brownian-Motion-October-5-2026	Random Walks on Critical FK–Ising Maps and Liouville Brownian Motion	OpenAI	October 5, 2026	211	The geometric phase diagram, diffusion, and spectra of random planar maps	True	current (in CONTENTS.md)	preprints/Random-Walks-on-Critical-FK-Ising-Maps-and-Liouville-Brownian-Motion-October-5-2026/fk-ising-walk-limit.pdf
Random-coordinate-frames-and-partial-permutation-laws-September-26-2026	Random coordinate frames and partial permutation laws	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Random-coordinate-frames-and-partial-permutation-laws-September-26-2026/main.pdf
Random-subspace-tests-and-trace-smoothing-for-coordinate-sweeps-September-26-2026	Random-subspace tests and trace smoothing for coordinate sweeps	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Random-subspace-tests-and-trace-smoothing-for-coordinate-sweeps-September-26-2026/paper.pdf
Randomized-quasipolynomial-time-mean-payoff-games-September-25-2026	Randomized quasipolynomial-time mean-payoff games	OpenAI	September 25, 2026 (from directory name)	104	Quasipolynomial algorithms for mean-payoff, stochastic and parity games	True	current (in CONTENTS.md)	preprints/Randomized-quasipolynomial-time-mean-payoff-games-September-25-2026/paper.pdf
Rational-homology-and-Quillens-conjecture-September-24-2026	Rational homology and Quillen's conjecture	OpenAI	September 24, 2026	310	Quillen's conjecture in rational homology	False	current (in CONTENTS.md)	preprints/Rational-homology-and-Quillens-conjecture-September-24-2026/paper.pdf
Rationality-of-the-Canonical-Unramified-Arthur-Filtration-September-24-2026	Rationality of the Canonical Unramified Arthur Filtration	OpenAI	September 24, 2026	014	Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan	False	current (in CONTENTS.md)	preprints/Rationality-of-the-Canonical-Unramified-Arthur-Filtration-September-24-2026/paper.pdf
Reconstruction-from-Milnor-K-theory-modulo-the-characteristic-October-5-2026	Reconstruction from Milnor K-theory modulo the characteristic	OpenAI	October 5, 2026	009	Function-field reconstruction from Milnor K-theory and Galois data	True	current (in CONTENTS.md)	preprints/Reconstruction-from-Milnor-K-theory-modulo-the-characteristic-October-5-2026/paper.pdf
Reconstruction-of-Function-Fields-from-Mod-ell-Milnor-K-Theory-October-5-2026	Reconstruction of Function Fields from Mod-ℓ Milnor K-Theory	OpenAI	October 5, 2026	009	Function-field reconstruction from Milnor K-theory and Galois data	True	current (in CONTENTS.md)	preprints/Reconstruction-of-Function-Fields-from-Mod-ell-Milnor-K-Theory-October-5-2026/mod-ell-bogomolov-pop.pdf
Regular-trajectories-pruning-and-quantum-parity-September-24-2026	Regular trajectories, pruning and quantum parity	OpenAI	September 24, 2026 (from directory name)	274	Parity is not in QAC0	True	current (in CONTENTS.md)	preprints/Regular-trajectories-pruning-and-quantum-parity-September-24-2026/paper.pdf
Relative-denominators-and-effective-systems-for-log-Calabi-Yau-fibrations-September-27-2026	Relative denominators and effective systems for log Calabi-Yau fibrations	OpenAI	September 27, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Relative-denominators-and-effective-systems-for-log-Calabi-Yau-fibrations-September-27-2026/paper.pdf
Relative-generation-and-the-generator-problem-for-finite-factors-September-23-2026	Relative generation and the generator problem for finite factors	OpenAI	September 23, 2026	296	The generator problem for finite factors	True	current (in CONTENTS.md)	preprints/Relative-generation-and-the-generator-problem-for-finite-factors-September-23-2026/paper.pdf
Relative-independence-of-the-separable-quotient-problem-September-23-2026	Relative independence of the separable quotient problem	OpenAI	September 23, 2026	323	Independence of the separable quotient problem	True	current (in CONTENTS.md)	preprints/Relative-independence-of-the-separable-quotient-problem-September-23-2026/paper.pdf
Removable-Boundaries-and-Rigidity-of-Circle-Domains-September-23-2026	Removable Boundaries and Rigidity of Circle Domains	OpenAI	September 23, 2026	071	Koebe’s circle-domain conjecture	True	current (in CONTENTS.md)	preprints/Removable-Boundaries-and-Rigidity-of-Circle-Domains-September-23-2026/paper.pdf
Renewal-and-changes-of-law-for-critical-honeycomb-walks-September-26-2026	Renewal and changes of law for critical honeycomb walks	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Renewal-and-changes-of-law-for-critical-honeycomb-walks-September-26-2026/main.pdf
Replacing-Gaussian-observations-in-memory-constrained-inference-September-27-2026	Replacing Gaussian observations in memory-constrained inference	OpenAI	September 27, 2026	140	Memory–sample lower bounds for noiseless Gaussian regression	True	current (in CONTENTS.md)	preprints/Replacing-Gaussian-observations-in-memory-constrained-inference-September-27-2026/paper.pdf
Riesz-transforms-and-uniform-rectifiability-in-higher-codimension-September-24-2026	Riesz transforms and uniform rectifiability in higher codimension	OpenAI	September 24, 2026	081	Riesz transforms and rectifiability in higher codimension	True	current (in CONTENTS.md)	preprints/Riesz-transforms-and-uniform-rectifiability-in-higher-codimension-September-24-2026/paper.pdf
Rigidity-of-Smooth-Billiards-with-a-Continuous-Caustic-Collar-September-24-2026	Rigidity of Smooth Billiards with a Continuous Caustic Collar	OpenAI	September 24, 2026	147	The near-boundary Birkhoff conjecture	False	current (in CONTENTS.md)	preprints/Rigidity-of-Smooth-Billiards-with-a-Continuous-Caustic-Collar-September-24-2026/paper.pdf
Rigidity-of-the-Turing-degrees-September-24-2026	Rigidity of the Turing degrees	OpenAI	September 24, 2026	241	Rigidity of the Turing degrees	True	current (in CONTENTS.md)	preprints/Rigidity-of-the-Turing-degrees-September-24-2026/paper.pdf
Rokhlins-multiple-mixing-problem-for-one-transformation-September-23-2026	Rokhlin's multiple-mixing problem for one transformation	OpenAI	September 23, 2026	145	Rokhlin’s multiple-mixing problem	True	current (in CONTENTS.md)	preprints/Rokhlins-multiple-mixing-problem-for-one-transformation-September-23-2026/paper.pdf
Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026	Routing densities and representation contraction for Thorp sweeps	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026/paper.pdf
Row-column-symmetry-and-contraction-of-coordinate-sweeps-September-26-2026	Row–column symmetry and contraction of coordinate sweeps	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Row-column-symmetry-and-contraction-of-coordinate-sweeps-September-26-2026/paper.pdf
SLE3-universality-for-weak-finite-range-Ising-interactions-September-23-2026	$\mathrm{SLE}_3$ universality for weak finite-range Ising interactions	OpenAI	September 23, 2026	218	Conformal universality for weakly interacting and random-bond Ising models	True	current (in CONTENTS.md)	preprints/SLE3-universality-for-weak-finite-range-Ising-interactions-September-23-2026/paper.pdf
Scalar-Potentials-and-Slow-Clocks-for-Forced-Fluid-Computation-September-27-2026	Scalar Potentials and Slow Clocks for Forced Fluid Computation	OpenAI	September 27, 2026	376	Universal computation in forced Navier–Stokes flows	True	current (in CONTENTS.md)	preprints/Scalar-Potentials-and-Slow-Clocks-for-Forced-Fluid-Computation-September-27-2026/manuscript.pdf
Scale-and-conformal-symmetry-in-four-dimensional-operational-quantum-field-theory-September-26-2026	Scale and conformal symmetry in four-dimensional operational quantum field theory	OpenAI	September 26, 2026	282	From scale symmetry to local conformal symmetry in four-dimensional QFT	False	current (in CONTENTS.md)	preprints/Scale-and-conformal-symmetry-in-four-dimensional-operational-quantum-field-theory-September-26-2026/main.pdf
Schnell-fiber-spaces-and-good-canonical-models-September-24-2026	Schnell fiber spaces and good canonical models	OpenAI	September 24, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Schnell-fiber-spaces-and-good-canonical-models-September-24-2026/paper.pdf
Self-dual-random-cluster-interfaces-below-one-September-23-2026	Self-dual random-cluster interfaces below one	OpenAI	September 23, 2026	223	Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling	False	current (in CONTENTS.md)	preprints/Self-dual-random-cluster-interfaces-below-one-September-23-2026/paper.pdf
Semialgebraic-universal-covers-of-normal-projective-varieties-September-24-2026	Semialgebraic universal covers of normal projective varieties	OpenAI	September 24, 2026	058	Semialgebraic universal covers and bounded domains	True	current (in CONTENTS.md)	preprints/Semialgebraic-universal-covers-of-normal-projective-varieties-September-24-2026/paper.pdf
Sharp-Logarithmic-Exponents-for-Fixed-Off-Diagonal-Ramsey-Numbers-September-24-2026	Sharp Logarithmic Exponents for Fixed Off-Diagonal Ramsey Numbers	OpenAI	September 24, 2026	170	Sharp logarithmic exponents for off-diagonal Ramsey numbers	True	current (in CONTENTS.md)	preprints/Sharp-Logarithmic-Exponents-for-Fixed-Off-Diagonal-Ramsey-Numbers-September-24-2026/paper.pdf
Sharp-One-Dimensional-Lieb-Thirring-Constants-September-23-2026	Sharp one-dimensional Lieb–Thirring constants	OpenAI	September 23, 2026	262	Sharp finite-matrix Lieb–Thirring inequalities and all equality cases	True	current (in CONTENTS.md)	preprints/Sharp-One-Dimensional-Lieb-Thirring-Constants-September-23-2026/paper.pdf
Sharp-One-Third-Stability-of-Brenier-Maps-September-25-2026	Sharp One-Third Stability of Brenier Maps	OpenAI	September 25, 2026 (from directory name)	374	Sharp one-third stability of Brenier maps	True	current (in CONTENTS.md)	preprints/Sharp-One-Third-Stability-of-Brenier-Maps-September-25-2026/article.pdf
Sharp-binary-information-contraction-on-the-discrete-cube-September-24-2026	Sharp binary-information contraction on the discrete cube	OpenAI	September 24, 2026	119	The Courtade–Kumar and Hellinger conjectures	True	current (in CONTENTS.md)	preprints/Sharp-binary-information-contraction-on-the-discrete-cube-September-24-2026/main.pdf
Sharp-integral-fillings-in-CAT(0)-spaces-September-23-2026	Sharp integral fillings in CAT(0) spaces	OpenAI	September 23, 2026	337	Sharp Cartan–Hadamard isoperimetry and rigidity	True	current (in CONTENTS.md)	preprints/Sharp-integral-fillings-in-CAT(0)-spaces-September-23-2026/paper.pdf
Sharp-mass-bounds-for-the-two-dimensional-O4-model-September-23-2026	Sharp mass bounds for the two-dimensional O(4) model	OpenAI	September 23, 2026	215	Canonical $`O(3)`$ continuum limit and exact $`O(4)`$ mass asymptotics	True	current (in CONTENTS.md)	preprints/Sharp-mass-bounds-for-the-two-dimensional-O4-model-September-23-2026/paper.pdf
Sharp-nodal-length-on-smooth-surfaces-September-23-2026	Sharp nodal length on smooth surfaces	OpenAI	September 23, 2026	350	Yau’s nodal bounds: surfaces and higher dimensions	True	current (in CONTENTS.md)	preprints/Sharp-nodal-length-on-smooth-surfaces-September-23-2026/paper.pdf
Sharp-one-dimensional-Lieb-Thirring-inequalities-for-matrix-potentials-October-5-2026	Sharp one-dimensional Lieb–Thirring inequalities for matrix potentials	OpenAI	October 5, 2026	262	Sharp finite-matrix Lieb–Thirring inequalities and all equality cases	True	current (in CONTENTS.md)	preprints/Sharp-one-dimensional-Lieb-Thirring-inequalities-for-matrix-potentials-October-5-2026/sharp-matrix-lieb-thirring.pdf
Sharpness-of-the-Cyclic-Integral-Floer-Bound-Below-the-Stable-Morse-Number-October-5-2026	Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number	OpenAI	October 5, 2026	347	Counterexamples to stable-Morse and strong Arnold fixed-point bounds	True	current (in CONTENTS.md)	preprints/Sharpness-of-the-Cyclic-Integral-Floer-Bound-Below-the-Stable-Morse-Number-October-5-2026/sharp-cyclic-integral-floer-bound-below-stable-morse-number.pdf
Short-Egyptian-fractions-September-25-2026	Short Egyptian fractions	OpenAI	September 25, 2026	025	Short Egyptian fractions	True	current (in CONTENTS.md)	preprints/Short-Egyptian-fractions-September-25-2026/Short-Egyptian-fractions-September-25-2026.pdf
Signed-cylinder-propagation-and-marked-polygons-on-the-honeycomb-lattice-September-26-2026	Signed cylinder propagation and marked polygons on the honeycomb lattice	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Signed-cylinder-propagation-and-marked-polygons-on-the-honeycomb-lattice-September-26-2026/main.pdf
Signed-tensor-densities-and-diagram-budgets-for-coordinate-sweeps-September-26-2026	Signed tensor densities and diagram budgets for the Thorp shuffle	OpenAI	September 26, 2026	238	Optimal logarithmic mixing of the Thorp shuffle	True	current (in CONTENTS.md)	preprints/Signed-tensor-densities-and-diagram-budgets-for-coordinate-sweeps-September-26-2026/paper.pdf
Simple-F-infinity-overgroups-of-groups-with-decidable-word-problem-September-23-2026	Simple F∞ overgroups of groups with decidable word problem	OpenAI	September 23, 2026 (from directory name)	250	Boone–Higman embeddings with higher finiteness	True	current (in CONTENTS.md)	preprints/Simple-F-infinity-overgroups-of-groups-with-decidable-word-problem-September-23-2026/paper.pdf
Simulating-One-Tape-Time-in-Two-Fifths-Power-Space-September-25-2026	Simulating One-Tape Time in Two-Fifths-Power Space	OpenAI	September 25, 2026	137	One-tape time simulation in two-fifths-power space	True	current (in CONTENTS.md)	preprints/Simulating-One-Tape-Time-in-Two-Fifths-Power-Space-September-25-2026/article.pdf
Simultaneous-primitive-roots-a-conditional-lower-bound-for-prime-bases-October-4-2026	Simultaneous primitive roots: a conditional lower bound for prime bases	OpenAI	October 4, 2026	029	Primitive roots for every admissible integer base	False	current (in CONTENTS.md)	preprints/Simultaneous-primitive-roots-a-conditional-lower-bound-for-prime-bases-October-4-2026/simultaneous-primitive-roots-conditional-lower-bound-prime-bases.pdf
Single-Exponential-Recovery-and-Bounded-Price-Strictness-for-Metric-k-Median-September-24-2026	Single-exponential recovery and bounded-price strictness for metric k-median	OpenAI	September 24, 2026 (from directory name)	125	The metric k-median approximation threshold and recovery	True	current (in CONTENTS.md)	preprints/Single-Exponential-Recovery-and-Bounded-Price-Strictness-for-Metric-k-Median-September-24-2026/paper.pdf
Single-fold-Diophantine-representations-September-24-2026	Single-fold Diophantine representations	OpenAI	September 24, 2026	242	Single-fold Diophantine representations and undecidability under an at-most-one-solution promise	True	current (in CONTENTS.md)	preprints/Single-fold-Diophantine-representations-September-24-2026/paper.pdf
Slope-field-perturbations-of-the-two-cylinder-covering-September-27-2026	Slope-field perturbations of the two-cylinder covering	OpenAI	September 27, 2026	100	Cylinder coverings below the half-area bound	True	current (in CONTENTS.md)	preprints/Slope-field-perturbations-of-the-two-cylinder-covering-September-27-2026/main.pdf
Smooth-Anisotropic-Uniqueness-in-the-Calderon-Problem-from-One-Boundary-Patch-September-24-2026	Smooth anisotropic uniqueness in the Calderón problem from one boundary patch	OpenAI	September 24, 2026	365	Joint metric and connection recovery from one boundary patch	True	current (in CONTENTS.md)	preprints/Smooth-Anisotropic-Uniqueness-in-the-Calderon-Problem-from-One-Boundary-Patch-September-24-2026/paper.pdf
Smooth-Nonquadratic-Affine-Maximal-Graph-in-Dimension-Ten-October-5-2026	A Smooth Nonquadratic Entire Affine Maximal Graph in Dimension Ten	OpenAI	October 5, 2026	353	Affine Bernstein rigidity through dimension nine and a smooth dimension-ten counterexample	True	current (in CONTENTS.md)	preprints/Smooth-Nonquadratic-Affine-Maximal-Graph-in-Dimension-Ten-October-5-2026/affine-maximal-dimension-ten.pdf
Smooth-counterexamples-to-Yaus-nodal-upper-bound-in-dimensions-three-and-four-September-23-2026	Smooth counterexamples to Yau's nodal upper bound in dimensions three and four	OpenAI	September 23, 2026	350	Yau’s nodal bounds: surfaces and higher dimensions	True	current (in CONTENTS.md)	preprints/Smooth-counterexamples-to-Yaus-nodal-upper-bound-in-dimensions-three-and-four-September-23-2026/paper.pdf
Smooth-isometric-immersions-of-closed-surfaces-into-Euclidean-four-space-September-23-2026	Smooth isometric immersions of closed surfaces into Euclidean four-space	OpenAI	September 23, 2026	333	Smooth isometric immersions of surfaces into ℝ4	True	current (in CONTENTS.md)	preprints/Smooth-isometric-immersions-of-closed-surfaces-into-Euclidean-four-space-September-23-2026/paper.pdf
Snaky-in-21-Maker-moves-September-25-2026	Snaky in 21 Maker moves	OpenAI	September 25, 2026	187	Snaky in 21 Maker moves	True	current (in CONTENTS.md)	preprints/Snaky-in-21-Maker-moves-September-25-2026/article.pdf
Spacetime-Penrose-inequalities-enclosing-area-charge-and-rigidity-October-5-2026	Spacetime Penrose inequalities: enclosing area, charge, and rigidity	OpenAI	October 5, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/Spacetime-Penrose-inequalities-enclosing-area-charge-and-rigidity-October-5-2026/paper.pdf
Spectral-convergence-for-critical-FK-Ising-planar-maps-October-5-2026	Spectral convergence for critical FK–Ising planar maps	OpenAI	October 5, 2026	211	The geometric phase diagram, diffusion, and spectra of random planar maps	True	current (in CONTENTS.md)	preprints/Spectral-convergence-for-critical-FK-Ising-planar-maps-October-5-2026/spectral-convergence-critical-fk-ising-planar-maps.pdf
Spectral-scalar-curvature-and-Urysohn-width-in-dimension-three-October-5-2026	Spectral scalar curvature and Urysohn width in dimension three	OpenAI	October 5, 2026	336	Spectral scalar curvature, Urysohn width, and macroscopic dimension	False	current (in CONTENTS.md)	preprints/Spectral-scalar-curvature-and-Urysohn-width-in-dimension-three-October-5-2026/spectral-urysohn-three-manifolds.pdf
Spectral-scalar-curvature-and-uniform-Urysohn-width-October-5-2026	Spectral scalar curvature and uniform Urysohn width	OpenAI	October 5, 2026	336	Spectral scalar curvature, Urysohn width, and macroscopic dimension	False	current (in CONTENTS.md)	preprints/Spectral-scalar-curvature-and-uniform-Urysohn-width-October-5-2026/main.pdf
Spontaneous-magnetization-in-the-quantum-Heisenberg-ferromagnet-September-24-2026	Spontaneous magnetization in the quantum Heisenberg ferromagnet	OpenAI	September 24, 2026	271	Bloch's law, its lattice correction, and the spherical magnetization law	True	current (in CONTENTS.md)	preprints/Spontaneous-magnetization-in-the-quantum-Heisenberg-ferromagnet-September-24-2026/paper.pdf
Square-lattice-FK-interfaces-and-nested-loops-for-1-leq-q-lt-4-September-23-2026	Square-lattice FK interfaces and nested loops for 1 ≤ q < 4	OpenAI	September 23, 2026	223	Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling	False	current (in CONTENTS.md)	preprints/Square-lattice-FK-interfaces-and-nested-loops-for-1-leq-q-lt-4-September-23-2026/paper.pdf
Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026	Squared-logarithmic randomized k-server on arbitrary metrics	OpenAI	September 24, 2026	110	Optimal-order randomized k-server on arbitrary metrics	True	current (in CONTENTS.md)	preprints/Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026/Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026.pdf
Squarefree-values-of-quartics-and-power-free-values-of-polynomials-September-24-2026	Squarefree values of quartics and power-free values of polynomials	OpenAI	September 24, 2026 (from directory name)	020	Squarefree quartics and power-free polynomial values	True	current (in CONTENTS.md)	preprints/Squarefree-values-of-quartics-and-power-free-values-of-polynomials-September-24-2026/manuscript.pdf
Stabilizer-Orbits-and-Thick-Tensor-Ideals-of-Dualizable-Kn-Local-Spectra-September-24-2026	Stabilizer orbits and thick tensor ideals of dualizable K(n)-local spectra	OpenAI	September 24, 2026	311	The Hovey–Strickland and Chai conjectures	False	current (in CONTENTS.md)	preprints/Stabilizer-Orbits-and-Thick-Tensor-Ideals-of-Dualizable-Kn-Local-Spectra-September-24-2026/paper.pdf
Stable-Self-Similar-Blowup-for-a-Supercritical-Defocusing-Schrodinger-Equation-on-the-Torus-September-24-2026	Stable self-similar blowup for a supercritical defocusing Schrödinger equation on the torus	OpenAI	September 24, 2026	371	Stable blowup for the defocusing Schrödinger equation	True	current (in CONTENTS.md)	preprints/Stable-Self-Similar-Blowup-for-a-Supercritical-Defocusing-Schrodinger-Equation-on-the-Torus-September-24-2026/paper.pdf
Staggered-extraction-for-exact-matrix-multiplication-over-every-field-September-24-2026	Staggered extraction for exact matrix multiplication over every field	OpenAI	September 24, 2026	107	Matrix multiplication with exponent at most 9/4	True	current (in CONTENTS.md)	preprints/Staggered-extraction-for-exact-matrix-multiplication-over-every-field-September-24-2026/Staggered-extraction-for-exact-matrix-multiplication-over-every-field-September-24-2026.pdf
Stretched-exponential-barriers-for-typical-SK-initial-states-September-24-2026	Stretched-exponential barriers for typical SK initial states	OpenAI	September 24, 2026	227	Critical SK autocorrelation processes and dynamics across the temperature transition	True	current (in CONTENTS.md)	preprints/Stretched-exponential-barriers-for-typical-SK-initial-states-September-24-2026/paper.pdf
Strict-convexity-and-differentiability-of-the-planar-exponential-first-passage-limit-shape-September-24-2026	Strict convexity and differentiability of the planar exponential first-passage limit shape	OpenAI	September 24, 2026	212	Planar first-passage geometry and the absence of bigeodesics	True	current (in CONTENTS.md)	preprints/Strict-convexity-and-differentiability-of-the-planar-exponential-first-passage-limit-shape-September-24-2026/main.pdf
Strict-hot-spots-and-absence-of-interior-critical-points-on-smooth-simply-connected-planar-domains-September-24-2026	Strict hot spots and absence of interior critical points on smooth simply connected planar domains	OpenAI	September 24, 2026	369	The hot spots conjecture for simply connected planar domains	True	current (in CONTENTS.md)	preprints/Strict-hot-spots-and-absence-of-interior-critical-points-on-smooth-simply-connected-planar-domains-September-24-2026/main.pdf
Strong-Ulam-Stability-Characterizes-Amenability-October-5-2026	Strong Ulam Stability Characterizes Amenability	OpenAI	October 5, 2026	251	Amenability, unitarizability, and strong Ulam stability	True	current (in CONTENTS.md)	preprints/Strong-Ulam-Stability-Characterizes-Amenability-October-5-2026/strong-ulam-stability.pdf
Strong-diffeomorphic-approximation-in-three-dimensions-for-1-le-p-le-2-September-24-2026	Strong diffeomorphic approximation in three dimensions for 1≤p≤2	OpenAI	September 24, 2026	368	The three-dimensional Ball–Evans approximation problem	False	current (in CONTENTS.md)	preprints/Strong-diffeomorphic-approximation-in-three-dimensions-for-1-le-p-le-2-September-24-2026/main.pdf
Strong-diffeomorphic-approximation-in-three-dimensions-for-p-gt-2-September-24-2026	Strong diffeomorphic approximation in three dimensions for p>2	OpenAI	September 24, 2026	368	The three-dimensional Ball–Evans approximation problem	False	current (in CONTENTS.md)	preprints/Strong-diffeomorphic-approximation-in-three-dimensions-for-p-gt-2-September-24-2026/main.pdf
Strongly-rational-unitary-vertex-operator-algebras-and-conformal-nets-September-25-2026	Strongly rational unitary vertex operator algebras and conformal nets	OpenAI	September 25, 2026	280	Unitary vertex operator algebras and conformal nets	True	current (in CONTENTS.md)	preprints/Strongly-rational-unitary-vertex-operator-algebras-and-conformal-nets-September-25-2026/paper.pdf
Subpolynomial-dimension-reduction-in-Lp-September-23-2026	Subpolynomial dimension reduction in $L_p$	OpenAI	September 23, 2026	094	Subpolynomial dimension reduction in Lp	True	current (in CONTENTS.md)	preprints/Subpolynomial-dimension-reduction-in-Lp-September-23-2026/paper.pdf
Subpolynomial-query-complexity-for-well-conditioned-log-concave-sampling-September-26-2026	Subpolynomial query complexity for well-conditioned log-concave sampling	OpenAI	September 26, 2026	139	Subpolynomial query complexity for log-concave sampling	True	current (in CONTENTS.md)	preprints/Subpolynomial-query-complexity-for-well-conditioned-log-concave-sampling-September-26-2026/article.pdf
Subset-Sum-in-Time-2-power-0-49n-October-4-2026	Subset Sum in Time $O(2^{0.49n})$	OpenAI	October 4, 2026	138	Subset Sum in $`O(2^{0.49n})`$ time	False	current (in CONTENTS.md)	preprints/Subset-Sum-in-Time-2-power-0-49n-October-4-2026/subset-sum.pdf
Subsphere-methods-for-memory-sample-lower-bounds-in-noiseless-Gaussian-regression-September-27-2026	Subsphere methods for memory–sample lower bounds in noiseless Gaussian regression	OpenAI	September 27, 2026	140	Memory–sample lower bounds for noiseless Gaussian regression	True	current (in CONTENTS.md)	preprints/Subsphere-methods-for-memory-sample-lower-bounds-in-noiseless-Gaussian-regression-September-27-2026/paper.pdf
Symmetry-of-semialgebraic-bounded-domains-with-compact-quotient-September-24-2026	Symmetry of semialgebraic bounded domains with compact quotient	OpenAI	September 24, 2026	058	Semialgebraic universal covers and bounded domains	True	current (in CONTENTS.md)	preprints/Symmetry-of-semialgebraic-bounded-domains-with-compact-quotient-September-24-2026/paper.pdf
Symplectic-Ball-Packings-in-Higher-Dimensions-September-23-2026	Symplectic Ball Packings in Higher Dimensions	OpenAI	September 23, 2026	343	Symplectic ball packing in higher dimensions	True	current (in CONTENTS.md)	preprints/Symplectic-Ball-Packings-in-Higher-Dimensions-September-23-2026/paper.pdf
Symplectic-Balls-in-Symmetric-Polar-Products-September-22-2026	Symplectic Balls in Symmetric Polar Products	OpenAI	September 22, 2026	087	The Mahler conjectures, functional inequalities and polar-product symplectic width	True	current (in CONTENTS.md)	preprints/Symplectic-Balls-in-Symmetric-Polar-Products-September-22-2026/paper.pdf
Talagrands-discrete-convexity-conjecture-September-23-2026	Talagrand's discrete-convexity conjecture	OpenAI	September 23, 2026	175	Talagrand’s expectation thresholds, discrete convexity, and graph decompositions	True	current (in CONTENTS.md)	preprints/Talagrands-discrete-convexity-conjecture-September-23-2026/paper.pdf
Tame-Hecke-Eigensheaves-with-Several-Marked-Points-October-5-2026	Tame Hecke Eigensheaves with Several Marked Points	OpenAI	October 5, 2026	014	Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan	False	current (in CONTENTS.md)	preprints/Tame-Hecke-Eigensheaves-with-Several-Marked-Points-October-5-2026/Tame-Hecke-Eigensheaves-with-Several-Marked-Points.pdf
Taming-implies-compatibility-on-four-manifolds-October-6-2026	Taming implies compatibility on four-manifolds	OpenAI	October 6, 2026	342	Donaldson's tamed-to-compatible conjecture	True	current (in CONTENTS.md)	preprints/Taming-implies-compatibility-on-four-manifolds-October-6-2026/paper.pdf
Taming-implies-compatibility-on-four-manifolds-September-23-2026	Taming implies compatibility on four-manifolds	OpenAI	September 23, 2026				previous version, superseded by Taming-implies-compatibility-on-four-manifolds-October-6-2026	preprints/Taming-implies-compatibility-on-four-manifolds-September-23-2026/paper.pdf
Tangent-flow-uniqueness-2026-09-24	Uniqueness of tangent flows at the first singular time of embedded surface mean-curvature flow	OpenAI	September 24, 2026	355	Unique tangent flows at the first surface singularity	False	current (in CONTENTS.md)	preprints/Tangent-flow-uniqueness-2026-09-24/paper.pdf
Temperedness-at-ramified-places-for-globally-generic-exceptional-groups-October-5-2026	Temperedness at ramified places for globally generic exceptional groups	OpenAI	October 5, 2026	014	Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan	False	current (in CONTENTS.md)	preprints/Temperedness-at-ramified-places-for-globally-generic-exceptional-groups-October-5-2026/ramified-ramanujan.pdf
Tensor-Saturation-for-Even-Spin-Groups-September-24-2026	Tensor saturation for even spin groups	OpenAI	September 24, 2026	204	Tensor saturation for even spin groups	False	current (in CONTENTS.md)	preprints/Tensor-Saturation-for-Even-Spin-Groups-September-24-2026/Tensor-Saturation-for-Even-Spin-Groups-September-24-2026.pdf
Termination-for-projective-log-canonical-fourfolds-with-rational-boundary-September-24-2026	Termination for projective log canonical fourfolds with rational boundary	OpenAI	September 24, 2026	056	Termination of projective and Kähler fourfold minimal model programs	False	current (in CONTENTS.md)	preprints/Termination-for-projective-log-canonical-fourfolds-with-rational-boundary-September-24-2026/paper.pdf
Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-5-2026	Termination of generalized-canonical flips on compact Kähler fourfolds	OpenAI	October 5, 2026				previous version, superseded by Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-6-2026	preprints/Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-5-2026/termination-generalized-terminal-flips-compact-kahler-fourfolds.pdf
Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-6-2026	Termination of generalized-canonical flips on compact Kähler fourfolds	OpenAI	October 6, 2026	056	Termination of projective and Kähler fourfold minimal model programs	False	current (in CONTENTS.md)	preprints/Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-6-2026/termination-generalized-terminal-flips-compact-kahler-fourfolds.pdf
Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-5-2026	Termination of generalized log canonical flips on compact Kähler fourfolds	OpenAI	October 5, 2026				previous version, superseded by Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-7-2026	preprints/Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-5-2026/termination-generalized-lc-kahler-fourfolds.pdf
Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-7-2026	Termination of generalized log canonical flips on compact Kähler fourfolds	OpenAI	October 7, 2026	056	Termination of projective and Kähler fourfold minimal model programs	False	current (in CONTENTS.md)	preprints/Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-7-2026/termination-generalized-lc-kahler-fourfolds.pdf
The-Abelian-Zilber-Pink-Conjecture-September-24-2026	The abelian Zilber-Pink conjecture	OpenAI	September 24, 2026	016	Zilber–Pink in abelian varieties and the Siegel threefold	False	current (in CONTENTS.md)	preprints/The-Abelian-Zilber-Pink-Conjecture-September-24-2026/paper.pdf
The-Approximation-Threshold-for-Metric-k-Median-September-24-2026	The approximation threshold for metric k-median	OpenAI	September 24, 2026 (from directory name)	125	The metric k-median approximation threshold and recovery	True	current (in CONTENTS.md)	preprints/The-Approximation-Threshold-for-Metric-k-Median-September-24-2026/main.pdf
The-Artinian-Lex-Plus-Powers-Betti-Theorem-September-23-2026	The Artinian Lex-Plus-Powers Betti Theorem	OpenAI	September 23, 2026	200	Eisenbud–Green–Harris and lex-plus-powers	False	current (in CONTENTS.md)	preprints/The-Artinian-Lex-Plus-Powers-Betti-Theorem-September-23-2026/paper.pdf
The-Bass-trace-conjecture-for-complex-group-rings-September-24-2026	The Bass trace conjecture and the characteristic-zero Kaplansky idempotent conjecture	OpenAI	September 24, 2026	207	The ℓ¹-Bass conjecture for all discrete groups	True	current (in CONTENTS.md)	preprints/The-Bass-trace-conjecture-for-complex-group-rings-September-24-2026/The-Bass-trace-conjecture-for-complex-group-rings-September-24-2026.pdf
The-Blockwise-Alperin-Weight-Conjecture-September-23-2026	The Blockwise Alperin Weight Conjecture	OpenAI	September 23, 2026	202	The blockwise Alperin weight conjecture	False	current (in CONTENTS.md)	preprints/The-Blockwise-Alperin-Weight-Conjecture-September-23-2026/paper.pdf
The-Bogomolov-Pop-reconstruction-theorem-September-23-2026	The Bogomolov-Pop reconstruction theorem	OpenAI	September 23, 2026	009	Function-field reconstruction from Milnor K-theory and Galois data	True	current (in CONTENTS.md)	preprints/The-Bogomolov-Pop-reconstruction-theorem-September-23-2026/paper.pdf
The-Boltzmann-Grad-limit-for-stable-radial-potentials-on-regular-kinetic-intervals-September-23-2026	The Boltzmann–Grad limit for stable radial potentials on regular kinetic intervals	OpenAI	September 23, 2026	364	Kinetic limits and fluctuations over the Boltzmann lifespan	False	current (in CONTENTS.md)	preprints/The-Boltzmann-Grad-limit-for-stable-radial-potentials-on-regular-kinetic-intervals-September-23-2026/paper.pdf
The-Campana-Peternell-conjecture-in-dimension-six-September-25-2026	The Campana–Peternell conjecture in dimension six	OpenAI	September 25, 2026	067	The Campana–Peternell conjecture in dimension six	False	current (in CONTENTS.md)	preprints/The-Campana-Peternell-conjecture-in-dimension-six-September-25-2026/main.pdf
The-Critical-Spin-Field-of-the-Planar-XY-Model-October-5-2026	The Critical Spin Field of the Planar XY Model	OpenAI	October 5, 2026	216	Critical and near-critical XY scaling and BKT universality	False	current (in CONTENTS.md)	preprints/The-Critical-Spin-Field-of-the-Planar-XY-Model-October-5-2026/paper.pdf
The-Deligne-Drinfeld-conjecture-September-23-2026	The Deligne-Drinfeld conjecture	OpenAI	September 23, 2026	008	The Deligne–Drinfeld conjecture	True	current (in CONTENTS.md)	preprints/The-Deligne-Drinfeld-conjecture-September-23-2026/paper.pdf
The-Dimension-of-the-Two-Adic-Hecke-Algebra-at-Odd-Level-October-5-2026	The Dimension of the Two-Adic Hecke Algebra at Odd Level	OpenAI	October 5, 2026	010	Unrestricted pro-modularity at the prime two	False	current (in CONTENTS.md)	preprints/The-Dimension-of-the-Two-Adic-Hecke-Algebra-at-Odd-Level-October-5-2026/two-adic-hecke.pdf
The-E-times-CM-Component-of-Zilber-Pink-for-Curves-in-A2-September-24-2026	The E×CM component of Zilber-Pink for curves in A2	OpenAI	September 24, 2026	016	Zilber–Pink in abelian varieties and the Siegel threefold	False	current (in CONTENTS.md)	preprints/The-E-times-CM-Component-of-Zilber-Pink-for-Curves-in-A2-September-24-2026/paper.pdf
The-Euclidean-Steinitz-Bergstrom-theorem-September-24-2026	The Euclidean Steinitz–Bergström theorem	OpenAI	September 24, 2026	097	The Euclidean Steinitz–Bergström bound	True	current (in CONTENTS.md)	preprints/The-Euclidean-Steinitz-Bergstrom-theorem-September-24-2026/The-Euclidean-Steinitz-Bergstrom-theorem-September-24-2026.pdf
The-Euclidean-plane-is-not-five-colorable-September-23-2026	The Euclidean plane is not five-colorable	OpenAI	September 23, 2026	158	The Euclidean plane cannot be colored with five colors	True	current (in CONTENTS.md)	preprints/The-Euclidean-plane-is-not-five-colorable-September-23-2026/paper.pdf
The-Factor-Two-Hardness-Threshold-for-Vertex-Cover-September-23-2026	The Factor-Two Hardness Threshold for Vertex Cover	OpenAI	September 23, 2026	102	The Unique Games Conjecture and optimal approximation thresholds	True	current (in CONTENTS.md)	preprints/The-Factor-Two-Hardness-Threshold-for-Vertex-Cover-September-23-2026/paper.pdf
The-Falconer-distance-conjecture-in-all-dimensions-September-23-2026	The Falconer distance conjecture in all dimensions	OpenAI	September 23, 2026	073	The Falconer distance conjecture	True	current (in CONTENTS.md)	preprints/The-Falconer-distance-conjecture-in-all-dimensions-September-23-2026/paper.pdf
The-Gaussian-Propeller-Bound-in-Every-Dimension-September-24-2026	The Gaussian propeller bound in every dimension	OpenAI	September 24, 2026 (from directory name)	096	The Gaussian propeller conjecture in every dimension	True	current (in CONTENTS.md)	preprints/The-Gaussian-Propeller-Bound-in-Every-Dimension-September-24-2026/main.pdf
The-Gaussian-free-field-limit-of-integer-Lipschitz-heights-with-two-arc-boundary-data-October-6-2026	The Gaussian free field limit of integer Lipschitz heights with two-arc boundary data	OpenAI	October 6, 2026	232	Gaussian fields and interfaces for triangular-lattice Lipschitz heights	False	current (in CONTENTS.md)	preprints/The-Gaussian-free-field-limit-of-integer-Lipschitz-heights-with-two-arc-boundary-data-October-6-2026/paper.pdf
The-Gaussian-free-field-limit-of-integer-Lipschitz-heights-with-two-arc-boundary-data-September-25-2026	The Gaussian free field limit of integer Lipschitz heights with two-arc boundary data	OpenAI	September 25, 2026				previous version, superseded by The-Gaussian-free-field-limit-of-integer-Lipschitz-heights-with-two-arc-boundary-data-October-6-2026	preprints/The-Gaussian-free-field-limit-of-integer-Lipschitz-heights-with-two-arc-boundary-data-September-25-2026/paper.pdf
The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026	The Gaussian free field limit of the balanced six-vertex model with variance multiplier 1/arcsin(c/2)	OpenAI	September 23, 2026	225	Gaussian free field limits throughout the balanced six-vertex regime	False	current (in CONTENTS.md)	preprints/The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026/The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026.pdf
The-Generalized-Mukai-Conjecture-September-24-2026	The generalized Mukai conjecture	OpenAI	September 24, 2026	063	The generalized Mukai conjecture	False	current (in CONTENTS.md)	preprints/The-Generalized-Mukai-Conjecture-September-24-2026/article.pdf
The-Grothendieck-homotopy-hypothesis-via-elementary-expansions-September-24-2026	The Grothendieck homotopy hypothesis via elementary expansions	OpenAI	September 24, 2026 (from directory name)	312	The Grothendieck homotopy hypothesis	True	current (in CONTENTS.md)	preprints/The-Grothendieck-homotopy-hypothesis-via-elementary-expansions-September-24-2026/paper.pdf
The-Hilbert-Smith-conjecture-in-every-finite-dimension-September-23-2026	The Hilbert–Smith conjecture in every finite dimension	OpenAI	September 23, 2026	304	The Hilbert–Smith conjecture in every dimension	False	current (in CONTENTS.md)	preprints/The-Hilbert-Smith-conjecture-in-every-finite-dimension-September-23-2026/paper.pdf
The-Isoperimetric-Conjecture-for-the-Cubic-Flat-Three-Torus-September-24-2026	The Isoperimetric Conjecture for the Cubic Flat Three-Torus	OpenAI	September 24, 2026	354	The isoperimetric profile of the cubic three-torus	True	current (in CONTENTS.md)	preprints/The-Isoperimetric-Conjecture-for-the-Cubic-Flat-Three-Torus-September-24-2026/article.pdf
The-Kakeya-maximal-conjecture-in-three-dimensions-September-23-2026	The Kakeya maximal conjecture in three dimensions	OpenAI	September 23, 2026	074	Kakeya in three and four dimensions	False	current (in CONTENTS.md)	preprints/The-Kakeya-maximal-conjecture-in-three-dimensions-September-23-2026/paper.pdf
The-Kerr-Newman-Penrose-Inequality-for-Axisymmetric-Electrovacuum-Exteriors-October-5-2026	The Kerr–Newman Penrose Inequality for Axisymmetric Electrovacuum Exteriors	OpenAI	October 5, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/The-Kerr-Newman-Penrose-Inequality-for-Axisymmetric-Electrovacuum-Exteriors-October-5-2026/paper.pdf
The-Kervaire-Invariant-Problem-at-the-Prime-Three-September-24-2026	The Kervaire invariant problem at the prime three	OpenAI	September 24, 2026	309	The Kervaire invariant problem at the prime three	False	current (in CONTENTS.md)	preprints/The-Kervaire-Invariant-Problem-at-the-Prime-Three-September-24-2026/paper.pdf
The-Kervaire-Theorem-for-Groups-September-24-2026	The Kervaire theorem for groups	OpenAI	September 24, 2026	256	Nonsingular systems of equations over arbitrary groups	True	current (in CONTENTS.md)	preprints/The-Kervaire-Theorem-for-Groups-September-24-2026/The-Kervaire-Theorem-for-Groups-September-24-2026.pdf
The-Kirchberg-Rordam-character-criterion-September-25-2026	The Kirchberg–Rørdam character criterion	OpenAI	September 25, 2026	299	The Kirchberg–Rørdam character criterion and infinite tensor-power Jiang–Su stability	True	current (in CONTENTS.md)	preprints/The-Kirchberg-Rordam-character-criterion-September-25-2026/paper.pdf
The-Mahler-Conjecture-for-General-Convex-Bodies-September-22-2026	The Mahler Conjecture for General Convex Bodies	OpenAI	September 22, 2026	087	The Mahler conjectures, functional inequalities and polar-product symplectic width	True	current (in CONTENTS.md)	preprints/The-Mahler-Conjecture-for-General-Convex-Bodies-September-22-2026/paper.pdf
The-Margulis-Platonov-conjecture-over-global-function-fields-October-5-2026	The Margulis–Platonov conjecture over global function fields	OpenAI	October 5, 2026	018	The Margulis–Platonov conjecture over global fields	False	current (in CONTENTS.md)	preprints/The-Margulis-Platonov-conjecture-over-global-function-fields-October-5-2026/margulis-platonov-global-function-fields.pdf
The-Margulis-Platonov-conjecture-over-number-fields-September-23-2026	The Margulis–Platonov conjecture over number fields	OpenAI	September 23, 2026	018	The Margulis–Platonov conjecture over global fields	False	current (in CONTENTS.md)	preprints/The-Margulis-Platonov-conjecture-over-number-fields-September-23-2026/paper.pdf
The-Mezard-Parisi-formula-for-diluted-spin-glasses-September-23-2026	The Mézard–Parisi formula for diluted spin glasses	OpenAI	September 23, 2026	221	The Mézard–Parisi formula for diluted spin glasses	True	current (in CONTENTS.md)	preprints/The-Mezard-Parisi-formula-for-diluted-spin-glasses-September-23-2026/paper.pdf
The-PCP-for-PPAD-conjecture-a-quasilinear-reduction-September-25-2026	The PCP-for-PPAD conjecture: a quasilinear reduction	OpenAI	September 25, 2026	136	A quasilinear PCP theorem for PPAD	False	current (in CONTENTS.md)	preprints/The-PCP-for-PPAD-conjecture-a-quasilinear-reduction-September-25-2026/paper.pdf
The-Partition-Principle-does-not-imply-Choice-September-24-2026	The Partition Principle does not imply Choice	OpenAI	September 24, 2026	244	The Partition Principle does not imply Choice	True	current (in CONTENTS.md)	preprints/The-Partition-Principle-does-not-imply-Choice-September-24-2026/partition-principle-without-choice.pdf
The-Penrose-inequality-for-maximal-asymptotically-hyperbolic-initial-data-October-5-2026	The Penrose inequality for maximal asymptotically hyperbolic initial data	OpenAI	October 5, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/The-Penrose-inequality-for-maximal-asymptotically-hyperbolic-initial-data-October-5-2026/paper.pdf
The-Poisson-Dirichlet-Law-for-Prime-Predecessors-September-24-2026	The Poisson-Dirichlet law for prime predecessors	OpenAI	September 24, 2026	011	Prime-factor statistics of $`p-1`$	False	current (in CONTENTS.md)	preprints/The-Poisson-Dirichlet-Law-for-Prime-Predecessors-September-24-2026/paper.pdf
The-Quasi-Riemann-Hypothesis-October-5-2026	The Quasi-Riemann Hypothesis	OpenAI	October 5, 2026	003	The quasi-Riemann hypothesis	True	current (in CONTENTS.md)	preprints/The-Quasi-Riemann-Hypothesis-October-5-2026/paper2.pdf
The-Quasi-Riemann-Hypothesis-September-30-2026	The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane Re(s)>7/8	OpenAI	30 September 2026	003	The quasi-Riemann hypothesis	True	current (in CONTENTS.md)	preprints/The-Quasi-Riemann-Hypothesis-September-30-2026/paper.pdf
The-Reconstruction-Threshold-for-the-Ferromagnetic-Four-State-Potts-Model-October-5-2026	The Reconstruction Threshold for the Ferromagnetic Four-State Potts Model	OpenAI	October 5, 2026	229	Exact three- and four-state reconstruction thresholds and four-state tree capacity	True	current (in CONTENTS.md)	preprints/The-Reconstruction-Threshold-for-the-Ferromagnetic-Four-State-Potts-Model-October-5-2026/four-state-potts.pdf
The-Restricted-Geometric-Langlands-Equivalence-in-Positive-Characteristic-September-24-2026	The Restricted Geometric Langlands Equivalence in Positive Characteristic	OpenAI	September 24, 2026	014	Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan	False	current (in CONTENTS.md)	preprints/The-Restricted-Geometric-Langlands-Equivalence-in-Positive-Characteristic-September-24-2026/paper.pdf
The-Selmer-converse-for-elliptic-curves-at-every-prime-October-7-2026	The Selmer converse for elliptic curves at every prime	OpenAI	October 7, 2026	002	The full BSD formula from low Selmer corank	False	current (in CONTENTS.md)	preprints/The-Selmer-converse-for-elliptic-curves-at-every-prime-October-7-2026/main.pdf
The-Selmer-converse-for-elliptic-curves-at-every-prime-September-24-2026	The Selmer converse for elliptic curves at every prime	OpenAI	September 24, 2026				previous version, superseded by The-Selmer-converse-for-elliptic-curves-at-every-prime-October-7-2026	preprints/The-Selmer-converse-for-elliptic-curves-at-every-prime-September-24-2026/main.pdf
The-Sharp-Logarithmic-Exponent-of-r-5-t-September-24-2026	The sharp logarithmic exponent of r(5,t)	OpenAI	September 24, 2026	170	Sharp logarithmic exponents for off-diagonal Ramsey numbers	True	current (in CONTENTS.md)	preprints/The-Sharp-Logarithmic-Exponent-of-r-5-t-September-24-2026/paper.pdf
The-Sharp-Terminal-Leave-in-Random-Triangle-Removal-September-25-2026	The sharp terminal leave in random triangle removal	OpenAI	September 25, 2026	188	The sharp terminal leave in random triangle removal	True	current (in CONTENTS.md)	preprints/The-Sharp-Terminal-Leave-in-Random-Triangle-Removal-September-25-2026/The-Sharp-Terminal-Leave-in-Random-Triangle-Removal-September-25-2026.pdf
The-Singer-conjecture-in-dimension-four-September-25-2026	The Singer conjecture in dimension four	OpenAI	September 25, 2026	315	The four-dimensional Singer conjecture	False	current (in CONTENTS.md)	preprints/The-Singer-conjecture-in-dimension-four-September-25-2026/paper.pdf
The-Solomon-Yau-least-volume-theorem-September-23-2026	The Solomon–Yau least-volume theorem	OpenAI	September 23, 2026	349	The Solomon–Yau least-volume conjecture	False	current (in CONTENTS.md)	preprints/The-Solomon-Yau-least-volume-theorem-September-23-2026/paper.pdf
The-Stable-Hurewicz-Image-of-the-Sphere-at-Two-September-25-2026	The Stable Hurewicz Image of the Sphere at Two	OpenAI	September 25, 2026	316	Curtis’s conjecture	False	current (in CONTENTS.md)	preprints/The-Stable-Hurewicz-Image-of-the-Sphere-at-Two-September-25-2026/paper.pdf
The-Strong-Hyperkahler-SYZ-Conjecture-September-23-2026	The strong hyperkähler SYZ conjecture	OpenAI	September 23, 2026	041	Hyperkähler SYZ and projective-space bases	False	current (in CONTENTS.md)	preprints/The-Strong-Hyperkahler-SYZ-Conjecture-September-23-2026/main.pdf
The-Subcritical-Henon-Lane-Emden-Conjecture-September-24-2026	The Subcritical Hénon–Lane–Emden Conjecture	OpenAI	September 24, 2026	370	The Lane–Emden and Hénon–Lane–Emden conjectures	True	current (in CONTENTS.md)	preprints/The-Subcritical-Henon-Lane-Emden-Conjecture-September-24-2026/paper.pdf
The-Unique-Games-Theorem-September-23-2026	The Unique Games Theorem	OpenAI	September 23, 2026	102	The Unique Games Conjecture and optimal approximation thresholds	True	current (in CONTENTS.md)	preprints/The-Unique-Games-Theorem-September-23-2026/paper.pdf
The-abelianity-conjecture-for-special-compact-Kahler-manifolds-September-23-2026	The abelianity conjecture for special compact Kähler manifolds	OpenAI	September 23, 2026	057	Fundamental groups of special complex varieties and root orbifolds	False	current (in CONTENTS.md)	preprints/The-abelianity-conjecture-for-special-compact-Kahler-manifolds-September-23-2026/paper.pdf
The-affine-Bernstein-theorem-in-dimensions-three-through-nine-September-24-2026	The affine Bernstein theorem in dimensions three through nine	OpenAI	September 24, 2026	353	Affine Bernstein rigidity through dimension nine and a smooth dimension-ten counterexample	True	current (in CONTENTS.md)	preprints/The-affine-Bernstein-theorem-in-dimensions-three-through-nine-September-24-2026/main.pdf
The-arithmetic-category-and-stable-recovery-of-lattice-factors-September-23-2026	The arithmetic category and stable recovery of lattice factors	OpenAI	September 23, 2026	286	Rigidity and arithmetic of lattice von Neumann algebras	False	current (in CONTENTS.md)	preprints/The-arithmetic-category-and-stable-recovery-of-lattice-factors-September-23-2026/paper.pdf
The-canonical-massive-continuum-limit-of-the-two-dimensional-O3-model-October-4-2026	The canonical massive continuum limit of the two-dimensional O(3) model	OpenAI	October 4, 2026	215	Canonical $`O(3)`$ continuum limit and exact $`O(4)`$ mass asymptotics	True	current (in CONTENTS.md)	preprints/The-canonical-massive-continuum-limit-of-the-two-dimensional-O3-model-October-4-2026/massive-continuum-o3.pdf
The-circulant-Hadamard-conjecture-September-23-2026	The circulant Hadamard conjecture	OpenAI	September 23, 2026	179	The circulant Hadamard and Barker-sequence conjectures	True	current (in CONTENTS.md)	preprints/The-circulant-Hadamard-conjecture-September-23-2026/paper.pdf
The-complete-Crouzeix-theorem-September-23-2026	The complete Crouzeix theorem: optimal similarity and a common positive boundary representation	OpenAI	September 23, 2026	325	The complete Crouzeix conjecture	True	current (in CONTENTS.md)	preprints/The-complete-Crouzeix-theorem-September-23-2026/paper.pdf
The-complexity-of-identifying-a-graph-by-Weisfeiler-Leman-refinement-September-25-2026	The complexity of identifying a graph by Weisfeiler–Leman refinement	OpenAI	September 25, 2026	133	The computational complexity of Weisfeiler–Leman refinement	True	current (in CONTENTS.md)	preprints/The-complexity-of-identifying-a-graph-by-Weisfeiler-Leman-refinement-September-25-2026/paper.pdf
The-cotype-cotype-conjecture-under-the-approximation-property-September-23-2026	The cotype–cotype conjecture under the approximation property	OpenAI	September 23, 2026	326	The cotype–cotype conjecture under the approximation property	True	current (in CONTENTS.md)	preprints/The-cotype-cotype-conjecture-under-the-approximation-property-September-23-2026/paper.pdf
The-critical-Liouville-quantum-sphere-and-geometric-limits-of-FK-maps-at-q-equals-4-September-24-2026	The critical Liouville quantum sphere and geometric limits of FK maps at q=4	OpenAI	September 24, 2026	211	The geometric phase diagram, diffusion, and spectra of random planar maps	True	current (in CONTENTS.md)	preprints/The-critical-Liouville-quantum-sphere-and-geometric-limits-of-FK-maps-at-q-equals-4-September-24-2026/main.pdf
The-critical-correlation-exponent-of-the-planar-XY-model-September-24-2026	The critical correlation exponent of the planar XY model	OpenAI	September 24, 2026 (from directory name)	216	Critical and near-critical XY scaling and BKT universality	False	current (in CONTENTS.md)	preprints/The-critical-correlation-exponent-of-the-planar-XY-model-September-24-2026/paper.pdf
The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026	The critical dimension for one-phase Bernoulli minimizers	OpenAI	September 24, 2026	367	The critical dimension for the one-phase Bernoulli problem	True	current (in CONTENTS.md)	preprints/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026.pdf
The-critical-logarithmic-correction-for-the-planar-XY-model-October-5-2026	The critical logarithmic correction for the planar XY model	OpenAI	October 5, 2026	216	Critical and near-critical XY scaling and BKT universality	False	current (in CONTENTS.md)	preprints/The-critical-logarithmic-correction-for-the-planar-XY-model-October-5-2026/paper.pdf
The-crossing-number-of-complete-bipartite-graphs-September-23-2026	The crossing number of complete bipartite graphs	OpenAI	September 23, 2026	165	The Harary–Hill and Zarankiewicz crossing-number formulas	True	current (in CONTENTS.md)	preprints/The-crossing-number-of-complete-bipartite-graphs-September-23-2026/paper.pdf
The-crossing-number-of-complete-graphs-September-23-2026	The crossing number of complete graphs	OpenAI	September 23, 2026	165	The Harary–Hill and Zarankiewicz crossing-number formulas	True	current (in CONTENTS.md)	preprints/The-crossing-number-of-complete-graphs-September-23-2026/paper.pdf
The-curve-scaling-limit-of-half-plane-double-dimers-September-23-2026	The Curve Scaling Limit of Half-Plane Double Dimers	OpenAI	September 23, 2026 (from directory name)	226	The double-dimer loop ensemble converges to CLE4	False	current (in CONTENTS.md)	preprints/The-curve-scaling-limit-of-half-plane-double-dimers-September-23-2026/paper.pdf
The-dyadic-case-of-the-Erdos-similarity-conjecture-September-25-2026	The dyadic case of the Erdős similarity conjecture	OpenAI	September 25, 2026	084	The geometric case of the Erdős similarity conjecture	True	current (in CONTENTS.md)	preprints/The-dyadic-case-of-the-Erdos-similarity-conjecture-September-25-2026/paper.pdf
The-entropy-photon-number-inequality-September-24-2026	The entropy photon-number inequality	OpenAI	September 24, 2026	273	The entropy photon-number inequality	True	current (in CONTENTS.md)	preprints/The-entropy-photon-number-inequality-September-24-2026/paper.pdf
The-entropy-rate-dimension-formula-for-self-similar-measures-on-the-line-September-24-2026	The entropy-rate dimension formula for self-similar measures on the line	OpenAI	September 24, 2026	148	The entropy-rate dimension formula for self-similar measures	True	current (in CONTENTS.md)	preprints/The-entropy-rate-dimension-formula-for-self-similar-measures-on-the-line-September-24-2026/main.pdf
The-equivariant-cohomological-Hikita-conjecture-for-arbitrary-quivers-September-24-2026	The equivariant cohomological Hikita conjecture for arbitrary quivers	OpenAI	September 24, 2026	044	The equivariant cohomological Hikita conjecture	False	current (in CONTENTS.md)	preprints/The-equivariant-cohomological-Hikita-conjecture-for-arbitrary-quivers-September-24-2026/main.pdf
The-exact-reconstruction-threshold-for-the-three-state-symmetric-channel-September-25-2026	The exact reconstruction threshold for the three-state symmetric channel	OpenAI	September 25, 2026	229	Exact three- and four-state reconstruction thresholds and four-state tree capacity	True	current (in CONTENTS.md)	preprints/The-exact-reconstruction-threshold-for-the-three-state-symmetric-channel-September-25-2026/paper.pdf
The-first-lattice-correction-to-Blochs-law-October-5-2026	The first lattice correction to Bloch's law	OpenAI	October 5, 2026	271	Bloch's law, its lattice correction, and the spherical magnetization law	True	current (in CONTENTS.md)	preprints/The-first-lattice-correction-to-Blochs-law-October-5-2026/first-lattice-correction-bloch-law.pdf
The-free-energy-of-the-Ising-random-perceptron-September-24-2026	The free energy of the Ising random perceptron	OpenAI	September 24, 2026	222	Perceptron free energies and microscopic jamming exponents	True	current (in CONTENTS.md)	preprints/The-free-energy-of-the-Ising-random-perceptron-September-24-2026/The-free-energy-of-the-Ising-random-perceptron-September-24-2026.pdf
The-free-energy-of-the-spherical-random-perceptron-September-24-2026	The free energy of the spherical random perceptron	OpenAI	September 24, 2026	222	Perceptron free energies and microscopic jamming exponents	True	current (in CONTENTS.md)	preprints/The-free-energy-of-the-spherical-random-perceptron-September-24-2026/The-free-energy-of-the-spherical-random-perceptron-September-24-2026.pdf
The-free-uniform-spanning-forest-is-a-factor-of-IID-September-25-2026	The free uniform spanning forest is a factor of IID	OpenAI	September 25, 2026	231	The free uniform spanning forest is a factor of IID	True	current (in CONTENTS.md)	preprints/The-free-uniform-spanning-forest-is-a-factor-of-IID-September-25-2026/The-free-uniform-spanning-forest-is-a-factor-of-IID-September-25-2026.pdf
The-geometric-case-of-the-Erdos-similarity-conjecture-October-5-2026	The geometric case of the Erdős similarity conjecture	OpenAI	October 5, 2026	084	The geometric case of the Erdős similarity conjecture	True	current (in CONTENTS.md)	preprints/The-geometric-case-of-the-Erdos-similarity-conjecture-October-5-2026/geometric-erdos-similarity.pdf
The-height-three-chromatic-overlap-an-explicit-filtration-and-its-attachments-September-27-2026	The height-three chromatic overlap: an explicit filtration and its attachments	OpenAI	September 27, 2026	318	Chromatic splitting: filtrations and counterexamples	False	current (in CONTENTS.md)	preprints/The-height-three-chromatic-overlap-an-explicit-filtration-and-its-attachments-September-27-2026/paper.pdf
The-higher-dimensional-Erdos-distinct-distances-conjecture-September-23-2026	The higher-dimensional Erdős distinct-distances conjecture	OpenAI	September 23, 2026	166	The higher-dimensional Erdős distinct-distances conjecture	False	current (in CONTENTS.md)	preprints/The-higher-dimensional-Erdos-distinct-distances-conjecture-September-23-2026/paper.pdf
The-hypercube-Ramsey-number-has-linear-order-September-23-2026	The hypercube Ramsey number has linear order	OpenAI	September 23, 2026	171	The hypercube Ramsey conjecture	False	current (in CONTENTS.md)	preprints/The-hypercube-Ramsey-number-has-linear-order-September-23-2026/paper.pdf
The-irrationality-exponent-of-pi-is-2-September-24-2026	The irrationality exponent of π is 2	OpenAI	September 24, 2026	017	The irrationality exponent of π is 2	True	current (in CONTENTS.md)	preprints/The-irrationality-exponent-of-pi-is-2-September-24-2026/paper.pdf
The-joint-Dickman-law-for-consecutive-integers-September-24-2026	The joint Dickman law for consecutive integers	OpenAI	September 24, 2026	012	Independent largest prime factors of consecutive integers	True	current (in CONTENTS.md)	preprints/The-joint-Dickman-law-for-consecutive-integers-September-24-2026/paper.pdf
The-joint-scaling-limit-of-critical-Ashkin-Teller-currents-October-6-2026	The joint scaling limit of critical Ashkin–Teller currents	OpenAI	October 6, 2026 (from directory name)	233	The joint critical Ashkin–Teller current limit	False	current (in CONTENTS.md)	preprints/The-joint-scaling-limit-of-critical-Ashkin-Teller-currents-October-6-2026/main.pdf
The-joint-scaling-limit-of-critical-Ashkin-Teller-currents-September-25-2026	The joint scaling limit of critical Ashkin–Teller currents	OpenAI	September 25, 2026 (from directory name)				previous version, superseded by The-joint-scaling-limit-of-critical-Ashkin-Teller-currents-October-6-2026	preprints/The-joint-scaling-limit-of-critical-Ashkin-Teller-currents-September-25-2026/main.pdf
The-l1-Bass-Conjecture-for-Discrete-Groups-October-5-2026	The $\ell^1$-Bass Conjecture for Discrete Groups	OpenAI	October 5, 2026	207	The ℓ¹-Bass conjecture for all discrete groups	True	current (in CONTENTS.md)	preprints/The-l1-Bass-Conjecture-for-Discrete-Groups-October-5-2026/l1-bass-conjecture.pdf
The-logarithmic-Brunn-Minkowski-conjecture-September-23-2026	The logarithmic Brunn–Minkowski conjecture	OpenAI	September 23, 2026	091	Logarithmic and Lp Brunn–Minkowski inequalities and the B-conjecture	True	current (in CONTENTS.md)	preprints/The-logarithmic-Brunn-Minkowski-conjecture-September-23-2026/paper.pdf
The-low-temperature-Sherrington-Kirkpatrick-fluctuation-scale-September-24-2026	The low-temperature Sherrington–Kirkpatrick fluctuation scale	OpenAI	September 24, 2026	217	The low-temperature Sherrington–Kirkpatrick fluctuation law	False	current (in CONTENTS.md)	preprints/The-low-temperature-Sherrington-Kirkpatrick-fluctuation-scale-September-24-2026/The-low-temperature-Sherrington-Kirkpatrick-fluctuation-scale-September-24-2026.pdf
The-low-temperature-Sherrington-Kirkpatrick-free-energy-limiting-law-September-24-2026	The low-temperature Sherrington–Kirkpatrick free-energy limiting law	OpenAI	September 24, 2026	217	The low-temperature Sherrington–Kirkpatrick fluctuation law	False	current (in CONTENTS.md)	preprints/The-low-temperature-Sherrington-Kirkpatrick-free-energy-limiting-law-September-24-2026/The-low-temperature-Sherrington-Kirkpatrick-free-energy-limiting-law-September-24-2026.pdf
The-maximal-triangular-Hilbert-transform-at-the-symmetric-point-September-24-2026	The maximal triangular Hilbert transform at the symmetric point	OpenAI	September 24, 2026	082	Annular variation and dyadic absolute bounds for the triangular Hilbert transform	True	current (in CONTENTS.md)	preprints/The-maximal-triangular-Hilbert-transform-at-the-symmetric-point-September-24-2026/paper.pdf
The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026	The maximum number of mutually unbiased bases in dimension six	OpenAI	September 24, 2026	266	Exactly three mutually unbiased bases in dimension six	True	current (in CONTENTS.md)	preprints/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026.pdf
The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-October-6-2026	The mean analytic rank of quadratic twists of elliptic curves	OpenAI	October 6, 2026	006	Goldfeld’s conjecture: densities and mean analytic rank	False	current (in CONTENTS.md)	preprints/The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-October-6-2026/paper.pdf
The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-September-23-2026	The mean analytic rank of quadratic twists of elliptic curves	OpenAI	September 23, 2026				previous version, superseded by The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-October-6-2026	preprints/The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-September-23-2026/paper.pdf
The-metric-Blaschke-theorem-September-23-2026	The metric Blaschke theorem	OpenAI	September 23, 2026	344	The metric Blaschke conjecture	False	current (in CONTENTS.md)	preprints/The-metric-Blaschke-theorem-September-23-2026/paper.pdf
The-nonmaximal-anti-de-Sitter-Penrose-Inequality-and-original-data-rigidity-October-5-2026	The nonmaximal anti-de Sitter Penrose Inequality and original-data rigidity	OpenAI	October 5, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/The-nonmaximal-anti-de-Sitter-Penrose-Inequality-and-original-data-rigidity-October-5-2026/paper.pdf
The-normalized-volume-gap-in-dimension-four-September-24-2026	The normalized-volume gap in dimension four	OpenAI	September 24, 2026	037	The ordinary-double-point volume gap	False	current (in CONTENTS.md)	preprints/The-normalized-volume-gap-in-dimension-four-September-24-2026/paper.pdf
The-ordinary-double-point-gap-in-every-dimension-September-24-2026	The ordinary-double-point gap in every dimension	OpenAI	September 24, 2026	037	The ordinary-double-point volume gap	False	current (in CONTENTS.md)	preprints/The-ordinary-double-point-gap-in-every-dimension-September-24-2026/paper.pdf
The-p-adic-section-conjecture-October-6-2026	The p-adic section conjecture	OpenAI	October 6, 2026	019	The local p-adic section conjecture and global consequences	False	current (in CONTENTS.md)	preprints/The-p-adic-section-conjecture-October-6-2026/main.pdf
The-p-adic-section-conjecture-September-24-2026	The p-adic section conjecture	OpenAI	September 24, 2026				previous version, superseded by The-p-adic-section-conjecture-October-6-2026	preprints/The-p-adic-section-conjecture-September-24-2026/main.pdf
The-periodic-spin-one-Haldane-gap-September-24-2026	The periodic spin-one Haldane gap	OpenAI	September 24, 2026	268	The spin-one Haldane gap	False	current (in CONTENTS.md)	preprints/The-periodic-spin-one-Haldane-gap-September-24-2026/paper.pdf
The-rational-Hodge-conjecture-for-CM-abelian-varieties-October-6-2026	The rational Hodge conjecture for CM abelian varieties	OpenAI	October 6, 2026	032	The rational Hodge conjecture for CM abelian varieties	False	current (in CONTENTS.md)	preprints/The-rational-Hodge-conjecture-for-CM-abelian-varieties-October-6-2026/paper.pdf
The-rational-Hodge-conjecture-for-CM-abelian-varieties-September-30-2026	The rational Hodge conjecture for CM abelian varieties	OpenAI	September 30, 2026				previous version, superseded by The-rational-Hodge-conjecture-for-CM-abelian-varieties-October-6-2026	preprints/The-rational-Hodge-conjecture-for-CM-abelian-varieties-September-30-2026/paper.pdf
The-rational-Hodge-conjecture-for-products-of-K3-surfaces-October-4-2026	The rational Hodge conjecture for products of K3 surfaces	OpenAI	October 6, 2026				withdrawn 2026-10-06 (notice in place; pre-withdrawal manuscript at adc7f124, seated under original-adc7f124/)	preprints/The-rational-Hodge-conjecture-for-products-of-K3-surfaces-October-4-2026/hodge-conjecture-products-k3.pdf
The-reverse-logarithmic-Kodaira-inequality-and-additivity-September-26-2026	The reverse logarithmic Kodaira inequality and additivity	OpenAI	September 26, 2026	033	Iitaka subadditivity, variation, and logarithmic additivity	True	current (in CONTENTS.md)	preprints/The-reverse-logarithmic-Kodaira-inequality-and-additivity-September-26-2026/paper.pdf
The-second-Kahn-Kalai-conjecture-September-24-2026	The second Kahn–Kalai conjecture	OpenAI	September 24, 2026	176	The second Kahn–Kalai conjecture with an edge-count bound	True	current (in CONTENTS.md)	preprints/The-second-Kahn-Kalai-conjecture-September-24-2026/paper.pdf
The-sharp-exponential-rate-of-singularity-for-symmetric-Bernoulli-matrices-October-3-2026	The sharp exponential rate of singularity for symmetric Bernoulli matrices	OpenAI	October 3, 2026	239	Sharp singularity rates for symmetric random sign matrices	False	current (in CONTENTS.md)	preprints/The-sharp-exponential-rate-of-singularity-for-symmetric-Bernoulli-matrices-October-3-2026/symmetric-bernoulli-singularity.pdf
The-sharp-factor-of-IID-threshold-for-the-free-Ising-model-on-regular-trees-September-26-2026	The sharp factor-of-IID threshold for the free Ising model on regular trees	OpenAI	September 26, 2026	236	The exact factor-of-IID threshold for free Ising spins on trees	True	current (in CONTENTS.md)	preprints/The-sharp-factor-of-IID-threshold-for-the-free-Ising-model-on-regular-trees-September-26-2026/article.pdf
The-sharp-singularity-rate-for-biased-symmetric-sign-matrices-October-4-2026	The sharp singularity rate for biased symmetric sign matrices	OpenAI	October 4, 2026	239	Sharp singularity rates for symmetric random sign matrices	False	current (in CONTENTS.md)	preprints/The-sharp-singularity-rate-for-biased-symmetric-sign-matrices-October-4-2026/biased-symmetric-sign-singularity.pdf
The-spacetime-Penrose-inequality-and-enclosing-area-September-27-2026	The spacetime Penrose inequality and enclosing area	OpenAI	September 27, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/The-spacetime-Penrose-inequality-and-enclosing-area-September-27-2026/paper.pdf
The-spacetime-Penrose-inequality-with-charge-and-original-data-rigidity-October-5-2026	The spacetime Penrose inequality with charge and original-data rigidity	OpenAI	October 5, 2026	260	Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions	True	current (in CONTENTS.md)	preprints/The-spacetime-Penrose-inequality-with-charge-and-original-data-rigidity-October-5-2026/paper.pdf
The-spherical-magnetization-law-for-the-three-dimensional-quantum-Heisenberg-ferromagnet-October-5-2026	The spherical magnetization law for the three-dimensional quantum Heisenberg ferromagnet	OpenAI	October 5, 2026	271	Bloch's law, its lattice correction, and the spherical magnetization law	True	current (in CONTENTS.md)	preprints/The-spherical-magnetization-law-for-the-three-dimensional-quantum-Heisenberg-ferromagnet-October-5-2026/spherical-magnetization.pdf
The-spherical-perceptron-with-bi-orthogonally-invariant-disorder-September-24-2026	The spherical perceptron with bi-orthogonally invariant disorder	OpenAI	September 24, 2026	222	Perceptron free energies and microscopic jamming exponents	True	current (in CONTENTS.md)	preprints/The-spherical-perceptron-with-bi-orthogonally-invariant-disorder-September-24-2026/The-spherical-perceptron-with-bi-orthogonally-invariant-disorder-September-24-2026.pdf
The-strong-thin-tree-conjecture-September-23-2026	The strong thin tree conjecture	OpenAI	September 23, 2026	174	Deterministic construction of strong thin spanning trees	True	current (in CONTENTS.md)	preprints/The-strong-thin-tree-conjecture-September-23-2026/paper.pdf
The-symmetric-Mahler-conjecture-and-its-equality-cases-September-22-2026	The symmetric Mahler conjecture and its equality cases	OpenAI	September 22, 2026	087	The Mahler conjectures, functional inequalities and polar-product symplectic width	True	current (in CONTENTS.md)	preprints/The-symmetric-Mahler-conjecture-and-its-equality-cases-September-22-2026/paper.pdf
The-trace-cone-classifies-Razak-Jacelon-stabilizations-September-25-2026	The trace cone classifies Razak–Jacelon stabilizations	OpenAI	September 25, 2026	301	Trace cones and Razak–Jacelon stabilization	True	current (in CONTENTS.md)	preprints/The-trace-cone-classifies-Razak-Jacelon-stabilizations-September-25-2026/The-trace-cone-classifies-Razak-Jacelon-stabilizations-September-25-2026.pdf
The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-October-6-2026	The two-primary Birch–Swinnerton-Dyer formula in Selmer corank at most one	OpenAI	October 6, 2026	002	The full BSD formula from low Selmer corank	False	current (in CONTENTS.md)	preprints/The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-October-6-2026/paper.pdf
The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-September-24-2026	The two-primary Birch–Swinnerton-Dyer formula in Selmer corank at most one	OpenAI	September 24, 2026				previous version, superseded by The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-October-6-2026	preprints/The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-September-24-2026/paper.pdf
The-unique-threshold-bound-state-of-the-SU-N-BFSS-model-September-24-2026	The unique threshold bound state of the SU(N) BFSS model	OpenAI	September 24, 2026	270	Threshold and positive-energy bound states of the BFSS matrix model	False	current (in CONTENTS.md)	preprints/The-unique-threshold-bound-state-of-the-SU-N-BFSS-model-September-24-2026/paper.pdf
The-weak-inhomogeneous-Duffin-Schaeffer-conjecture-September-25-2026	The Weak Inhomogeneous Duffin–Schaeffer Conjecture	OpenAI	September 25, 2026	022	The weak inhomogeneous Duffin–Schaeffer conjecture	False	current (in CONTENTS.md)	preprints/The-weak-inhomogeneous-Duffin-Schaeffer-conjecture-September-25-2026/paper.pdf
The-weak-pinned-planar-distance-theorem-September-23-2026	The weak pinned planar distance theorem	OpenAI	September 23, 2026	167	Planar distinct distances and unit-distance bounds	True	current (in CONTENTS.md)	preprints/The-weak-pinned-planar-distance-theorem-September-23-2026/paper.pdf
Thermal-FK-Ising-interfaces-and-massive-SLE-October-5-2026	Thermal FK–Ising interfaces and massive SLE	OpenAI	October 5, 2026	223	Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling	False	current (in CONTENTS.md)	preprints/Thermal-FK-Ising-interfaces-and-massive-SLE-October-5-2026/paper.pdf
Thomason-Model-Structures-in-Every-Strict-Higher-Dimension-September-25-2026	Thomason Model Structures in Every Strict Higher Dimension	OpenAI	September 25, 2026 (from directory name)	317	Thomason model structures in all strict higher dimensions	True	current (in CONTENTS.md)	preprints/Thomason-Model-Structures-in-Every-Strict-Higher-Dimension-September-25-2026/paper.pdf
Thompsons-group-F-is-nonamenable-September-23-2026	Thompson's group F is nonamenable	OpenAI	September 23, 2026	248	Thompson's group F is nonamenable	True	current (in CONTENTS.md)	preprints/Thompsons-group-F-is-nonamenable-September-23-2026/paper.pdf
Threshold-parallel-repetition-for-finite-dimensional-entangled-games-September-25-2026	Threshold parallel repetition for finite-dimensional entangled games	OpenAI	September 25, 2026	277	Threshold repetition for entangled games	True	current (in CONTENTS.md)	preprints/Threshold-parallel-repetition-for-finite-dimensional-entangled-games-September-25-2026/paper.pdf
Topological-triviality-of-mu-constant-families-of-surface-singularities-September-24-2026	Topological triviality of $\mu$-constant families of surface singularities	OpenAI	September 24, 2026	064	Topological triviality of μ-constant surface singularities	False	current (in CONTENTS.md)	preprints/Topological-triviality-of-mu-constant-families-of-surface-singularities-September-24-2026/main.pdf
Tracial-projection-methods-and-uniform-property-Gamma-September-23-2026	Tracial projection methods and uniform property Γ	OpenAI	September 23, 2026 (from directory name)	291	Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability	True	current (in CONTENTS.md)	preprints/Tracial-projection-methods-and-uniform-property-Gamma-September-23-2026/paper.pdf
Translative-covering-densities-of-order-n-log-n-September-23-2026	Translative covering densities of order n log n	OpenAI	September 23, 2026	092	The optimal order of convex-body covering density	True	current (in CONTENTS.md)	preprints/Translative-covering-densities-of-order-n-log-n-September-23-2026/paper.pdf
Tree-Constructions-for-the-l1-Distortion-of-Binary-Edit-Distance-September-27-2026	Tree Constructions for the $\ell_1$ Distortion of Binary Edit Distance	OpenAI	September 27, 2026 (from directory name)	099	The sharp exponential scale of edit-distance distortion	True	current (in CONTENTS.md)	preprints/Tree-Constructions-for-the-l1-Distortion-of-Binary-Edit-Distance-September-27-2026/paper.pdf
Triangular-minimality-for-planar-Coulomb-renormalized-energy-September-23-2026	Triangular minimality for planar Coulomb renormalized energy	OpenAI	September 23, 2026 (from directory name)	090	Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energy	True	current (in CONTENTS.md)	preprints/Triangular-minimality-for-planar-Coulomb-renormalized-energy-September-23-2026/paper.pdf
Triple-ergodic-averages-with-distinct-integer-slopes-October-4-2026	Triple ergodic averages with distinct integer slopes	OpenAI	October 4, 2026	154	Pointwise multiple ergodic averages for mixing transformations	False	current (in CONTENTS.md)	preprints/Triple-ergodic-averages-with-distinct-integer-slopes-October-4-2026/triple-ergodic-distinct-slopes.pdf
Turn-Based-Stochastic-Mean-Payoff-Games-in-Deterministic-Quasipolynomial-Time-October-5-2026	Turn-Based Stochastic Mean-Payoff Games in Deterministic Quasipolynomial Time	OpenAI	October 5, 2026	104	Quasipolynomial algorithms for mean-payoff, stochastic and parity games	True	current (in CONTENTS.md)	preprints/Turn-Based-Stochastic-Mean-Payoff-Games-in-Deterministic-Quasipolynomial-Time-October-5-2026/stochastic-mean-payoff-games.pdf
Two-step-monodromy-of-special-quasi-projective-varieties-September-24-2026	Two-step monodromy of special quasi-projective varieties	OpenAI	September 24, 2026	057	Fundamental groups of special complex varieties and root orbifolds	False	current (in CONTENTS.md)	preprints/Two-step-monodromy-of-special-quasi-projective-varieties-September-24-2026/paper.pdf
Ultraflat-real-Littlewood-polynomials-October-5-2026	Ultraflat real Littlewood polynomials	OpenAI	October 5, 2026	076	Real ultraflat Littlewood polynomials and unbounded binary merit factors	True	current (in CONTENTS.md)	preprints/Ultraflat-real-Littlewood-polynomials-October-5-2026/ultraflat-real-littlewood-polynomials.pdf
Unbounded-Violations-of-the-Square-Root-Degree-Bound-September-26-2026	Unbounded Violations of the Square-Root Degree Bound	OpenAI	September 26, 2026	192	Boolean functions violate the square-root degree bound by arbitrary factors	True	current (in CONTENTS.md)	preprints/Unbounded-Violations-of-the-Square-Root-Degree-Bound-September-26-2026/Unbounded-Violations-of-the-Square-Root-Degree-Bound-September-26-2026.pdf
Unconditional-time-lower-bounds-for-Weisfeiler-Leman-equivalence-September-25-2026	Unconditional time lower bounds for Weisfeiler–Leman equivalence	OpenAI	September 25, 2026	133	The computational complexity of Weisfeiler–Leman refinement	True	current (in CONTENTS.md)	preprints/Unconditional-time-lower-bounds-for-Weisfeiler-Leman-equivalence-September-25-2026/paper.pdf
Uniform-Bi-Holder-Transport-from-Weak-MTW-September-25-2026	Uniform Bi-Hölder Transport from Weak MTW	OpenAI	September 25, 2026	360	Weak MTW curvature gives convexity and regular optimal transport	True	current (in CONTENTS.md)	preprints/Uniform-Bi-Holder-Transport-from-Weak-MTW-September-25-2026/paper.pdf
Uniform-Cartier-sections-for-Fano-type-contractions-September-25-2026	Uniform Cartier sections for Fano type contractions	OpenAI	September 25, 2026	066	Bounded klt complements for Fano contractions	True	current (in CONTENTS.md)	preprints/Uniform-Cartier-sections-for-Fano-type-contractions-September-25-2026/Uniform-Cartier-sections-for-Fano-type-contractions-September-25-2026.pdf
Uniform-Interior-C1alpha-Estimates-for-Infinity-Harmonic-Functions-October-4-2026	Uniform Interior $C^{1,\alpha}$ Estimates for Infinity-Harmonic Functions	OpenAI	October 4, 2026	377	Interior $`C^{1,\alpha}`$ regularity for infinity-harmonic functions	False	current (in CONTENTS.md)	preprints/Uniform-Interior-C1alpha-Estimates-for-Infinity-Harmonic-Functions-October-4-2026/interior-c1-infinity-harmonic.pdf
Uniform-Matrix-Hitting-Points-in-Every-Positive-Characteristic-October-4-2026	Uniform Matrix Hitting Points in Every Positive Characteristic	OpenAI	October 4, 2026	116	Uniform black-box noncommutative identity testing across characteristics	True	current (in CONTENTS.md)	preprints/Uniform-Matrix-Hitting-Points-in-Every-Positive-Characteristic-October-4-2026/uniform-matrix-hitting-points-positive-characteristic.pdf
Uniform-Permanence-in-Weakly-Reversible-Mass-Action-Systems-October-5-2026	Uniform Permanence in Weakly Reversible Mass-Action Systems	OpenAI	October 5, 2026	149	Classwise permanence for weakly reversible mass-action systems	True	current (in CONTENTS.md)	preprints/Uniform-Permanence-in-Weakly-Reversible-Mass-Action-Systems-October-5-2026/permanence.pdf
Uniform-Pluricanonical-Iitaka-Fibrations-October-3-2026	Uniform Pluricanonical Iitaka Fibrations	OpenAI	October 3, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Uniform-Pluricanonical-Iitaka-Fibrations-October-3-2026/paper.pdf
Uniform-Stability-of-the-Spherical-Laughlin-Gap-October-5-2026	Uniform Stability of the Spherical Laughlin Gap	OpenAI	October 5, 2026	269	Uniform Laughlin gap and stability under bounded scalar disorder	True	current (in CONTENTS.md)	preprints/Uniform-Stability-of-the-Spherical-Laughlin-Gap-October-5-2026/uniform-stability-spherical-laughlin-gap.pdf
Uniform-computation-of-the-squared-logarithmic-k-server-bound-September-24-2026	Uniform computation of the squared-logarithmic k-server bound	OpenAI	September 24, 2026	110	Optimal-order randomized k-server on arbitrary metrics	True	current (in CONTENTS.md)	preprints/Uniform-computation-of-the-squared-logarithmic-k-server-bound-September-24-2026/Uniform-computation-of-the-squared-logarithmic-k-server-bound-September-24-2026.pdf
Uniform-effective-log-Iitaka-fibrations-for-fourfolds-September-26-2026	Uniform effective log Iitaka fibrations for fourfolds	OpenAI	September 26, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Uniform-effective-log-Iitaka-fibrations-for-fourfolds-September-26-2026/paper.pdf
Uniform-excess-charge-for-Coulomb-molecules-and-the-outer-radius-of-neutral-atoms-September-24-2026	Uniform excess charge for Coulomb molecules and the outer radius of neutral atoms	OpenAI	September 24, 2026	263	The ionization and generalized ionization conjectures	True	current (in CONTENTS.md)	preprints/Uniform-excess-charge-for-Coulomb-molecules-and-the-outer-radius-of-neutral-atoms-September-24-2026/paper.pdf
Uniform-exclusion-of-Landau-Siegel-zeros-October-1-2026	Uniform exclusion of Landau–Siegel zeros	OpenAI	October 1, 2026	003	The quasi-Riemann hypothesis	True	current (in CONTENTS.md)	preprints/Uniform-exclusion-of-Landau-Siegel-zeros-October-1-2026/paper.pdf
Uniform-indices-for-semi-log-canonical-log-Calabi-Yau-pairs-October-5-2026	Uniform indices for semi-log-canonical log Calabi–Yau pairs	OpenAI	October 5, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Uniform-indices-for-semi-log-canonical-log-Calabi-Yau-pairs-October-5-2026/uniform-slc-index.pdf
Uniform-log-Iitaka-fibrations-and-bounded-moduli-denominators-October-4-2026	Uniform log Iitaka fibrations and bounded moduli denominators	OpenAI	October 4, 2026	034	Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity	False	current (in CONTENTS.md)	preprints/Uniform-log-Iitaka-fibrations-and-bounded-moduli-denominators-October-4-2026/uniform-log-iitaka.pdf
Uniform-marked-polygon-estimates-and-sharp-finite-bridge-moments-September-26-2026	Uniform marked-polygon estimates and sharp finite bridge moments	OpenAI	September 26, 2026	237	The three-quarter exponent for honeycomb self-avoiding walk	True	current (in CONTENTS.md)	preprints/Uniform-marked-polygon-estimates-and-sharp-finite-bridge-moments-September-26-2026/main.pdf
Uniform-quasipolynomial-time-trace-reconstruction-October-5-2026	Uniform quasipolynomial-time trace reconstruction	OpenAI	October 5, 2026	122	Quantitative trace-reconstruction bounds with a uniform decoder	True	current (in CONTENTS.md)	preprints/Uniform-quasipolynomial-time-trace-reconstruction-October-5-2026/uniform-trace-reconstruction.pdf
Uniform-real-Lipschitz-surfaces-on-the-triangular-lattice-October-6-2026	Uniform real Lipschitz surfaces on the triangular lattice	OpenAI	October 6, 2026	232	Gaussian fields and interfaces for triangular-lattice Lipschitz heights	False	current (in CONTENTS.md)	preprints/Uniform-real-Lipschitz-surfaces-on-the-triangular-lattice-October-6-2026/paper.pdf
Uniform-real-Lipschitz-surfaces-on-the-triangular-lattice-September-25-2026	Uniform real Lipschitz surfaces on the triangular lattice	OpenAI	September 25, 2026				previous version, superseded by Uniform-real-Lipschitz-surfaces-on-the-triangular-lattice-October-6-2026	preprints/Uniform-real-Lipschitz-surfaces-on-the-triangular-lattice-September-25-2026/paper.pdf
Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026	Uniformization of complete Kähler manifolds with positive bisectional curvature	OpenAI	September 23, 2026 (from directory name)	338	Yau's uniformization conjecture	False	current (in CONTENTS.md)	preprints/Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026/paper.pdf
Unitarizability-Implies-Amenability-for-Countable-Groups-September-23-2026	Unitarizability implies amenability for discrete groups	OpenAI	September 23, 2026	251	Amenability, unitarizability, and strong Ulam stability	True	current (in CONTENTS.md)	preprints/Unitarizability-Implies-Amenability-for-Countable-Groups-September-23-2026/paper.pdf
Universal-Computation-with-Eventually-Stationary-Navier-Stokes-Forcing-September-27-2026	Universal Computation with Eventually Stationary Navier–Stokes Forcing	OpenAI	September 27, 2026	376	Universal computation in forced Navier–Stokes flows	True	current (in CONTENTS.md)	preprints/Universal-Computation-with-Eventually-Stationary-Navier-Stokes-Forcing-September-27-2026/manuscript.pdf
Universal-Tensor-Squares-for-Symmetric-Groups-September-24-2026	Universal Tensor Squares for Symmetric Groups	OpenAI	September 24, 2026	205	Saxl’s conjecture and universal tensor squares	True	current (in CONTENTS.md)	preprints/Universal-Tensor-Squares-for-Symmetric-Groups-September-24-2026/main.pdf
Universal-cover-splitting-for-compact-Kahler-manifolds-September-23-2026	Universal-cover splitting for compact Kähler manifolds	OpenAI	September 23, 2026	052	Tangent splittings and product decompositions	True	current (in CONTENTS.md)	preprints/Universal-cover-splitting-for-compact-Kahler-manifolds-September-23-2026/paper.pdf
Universal-optimality-of-the-triangular-lattice-September-23-2026	Universal optimality of the triangular lattice	OpenAI	September 23, 2026 (from directory name)	090	Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energy	True	current (in CONTENTS.md)	preprints/Universal-optimality-of-the-triangular-lattice-September-23-2026/paper.pdf
Universal-strong-Kadison-Kastler-stability-September-23-2026	Universal strong Kadison–Kastler stability	OpenAI	September 23, 2026	289	Strong Kadison–Kastler stability and its spatial boundaries	True	current (in CONTENTS.md)	preprints/Universal-strong-Kadison-Kastler-stability-September-23-2026/paper.pdf
Universality-of-critical-quench-autocorrelations-in-the-Sherrington-Kirkpatrick-model-October-5-2026	Universality of critical quench autocorrelations in the Sherrington–Kirkpatrick model	OpenAI	October 5, 2026	227	Critical SK autocorrelation processes and dynamics across the temperature transition	True	current (in CONTENTS.md)	preprints/Universality-of-critical-quench-autocorrelations-in-the-Sherrington-Kirkpatrick-model-October-5-2026/main.pdf
Unrestricted-pro-modularity-at-the-prime-two-October-4-2026	Unrestricted pro-modularity at the prime two	OpenAI	October 4, 2026				previous version, superseded by Unrestricted-pro-modularity-at-the-prime-two-October-6-2026	preprints/Unrestricted-pro-modularity-at-the-prime-two-October-4-2026/two-adic-promodularity.pdf
Unrestricted-pro-modularity-at-the-prime-two-October-6-2026	Unrestricted pro-modularity at the prime two	OpenAI	October 6, 2026	010	Unrestricted pro-modularity at the prime two	False	current (in CONTENTS.md)	preprints/Unrestricted-pro-modularity-at-the-prime-two-October-6-2026/two-adic-promodularity.pdf
Vanishing-of-higher-bounded-Hochschild-cohomology-September-23-2026	Vanishing of higher bounded Hochschild cohomology	OpenAI	September 23, 2026	295	The Kadison–Ringrose cohomology conjecture	True	current (in CONTENTS.md)	preprints/Vanishing-of-higher-bounded-Hochschild-cohomology-September-23-2026/paper.pdf
Variable-dimension-Weisfeiler-Leman-equivalence-on-general-and-subcubic-graphs-September-25-2026	Variable-dimension Weisfeiler–Leman equivalence on general and subcubic graphs	OpenAI	September 25, 2026	133	The computational complexity of Weisfeiler–Leman refinement	True	current (in CONTENTS.md)	preprints/Variable-dimension-Weisfeiler-Leman-equivalence-on-general-and-subcubic-graphs-September-25-2026/paper.pdf
Variance-of-the-Random-k-SAT-Hitting-Time-September-27-2026	Variance of the Random k-SAT Hitting Time	OpenAI	September 27, 2026	235	Limiting random SAT thresholds, sharp variance and computability	True	current (in CONTENTS.md)	preprints/Variance-of-the-Random-k-SAT-Hitting-Time-September-27-2026/article.pdf
Velocity-Field-Detection-of-Computation-in-Forced-Navier-Stokes-Flows-September-27-2026	Velocity-Field Detection of Computation in Forced Navier–Stokes Flows	OpenAI	September 27, 2026	376	Universal computation in forced Navier–Stokes flows	True	current (in CONTENTS.md)	preprints/Velocity-Field-Detection-of-Computation-in-Forced-Navier-Stokes-Flows-September-27-2026/manuscript.pdf
Virasoro-Constraints-for-Projective-Complete-Intersections-September-24-2026	Virasoro Constraints for Projective Complete Intersections	OpenAI	September 24, 2026 (from directory name)	065	Virasoro constraints for complete intersections and projective-bundle towers	False	current (in CONTENTS.md)	preprints/Virasoro-Constraints-for-Projective-Complete-Intersections-September-24-2026/article.pdf
Virasoro-Constraints-under-Projectivization-October-5-2026	Virasoro Constraints under Projectivization	OpenAI	October 5, 2026	065	Virasoro constraints for complete intersections and projective-bundle towers	False	current (in CONTENTS.md)	preprints/Virasoro-Constraints-under-Projectivization-October-5-2026/virasoro-constraints-under-projectivization.pdf
Virtual-compact-specialness-of-hyperbolic-one-relator-groups-September-25-2026	Virtual compact specialness of hyperbolic one-relator groups	OpenAI	September 25, 2026	258	Gersten’s conjecture and virtual compact specialness of one-relator groups	False	current (in CONTENTS.md)	preprints/Virtual-compact-specialness-of-hyperbolic-one-relator-groups-September-25-2026/paper.pdf
Weak-Hessian-bounds-along-every-geodesic-in-RCD-spaces-September-24-2026	Weak Hessian bounds along every geodesic in RCD spaces	OpenAI	September 24, 2026	356	Gigli’s characterization of Alexandrov curvature	True	current (in CONTENTS.md)	preprints/Weak-Hessian-bounds-along-every-geodesic-in-RCD-spaces-September-24-2026/weak-hessian-geodesics.pdf
Weak-and-strong-normalization-in-pure-type-systems-September-25-2026	Weak and strong normalization in pure type systems	OpenAI	September 25, 2026	245	Weak normalization implies strong normalization in pure type systems	True	current (in CONTENTS.md)	preprints/Weak-and-strong-normalization-in-pure-type-systems-September-25-2026/paper.pdf
Weak-mixing-of-triangular-billiards-with-an-irrational-angle-October-5-2026	Weak mixing of triangular billiards with an irrational angle	OpenAI	October 5, 2026	150	Weak mixing of triangular billiards with an irrational angle	True	current (in CONTENTS.md)	preprints/Weak-mixing-of-triangular-billiards-with-an-irrational-angle-October-5-2026/weak-mixing-triangular-billiards.pdf
Weak-pure-infiniteness-and-O-infinity-absorption-September-25-2026	Weak pure infiniteness and O-infinity absorption	OpenAI	September 25, 2026	303	Weak pure infiniteness and Cuntz-algebra absorption	True	current (in CONTENTS.md)	preprints/Weak-pure-infiniteness-and-O-infinity-absorption-September-25-2026/paper.pdf
Weighted-Dilation-Graphs-Smooth-Shifted-Primes-and-Totient-Fibers-September-24-2026	Weighted dilation graphs, smooth shifted primes and totient fibers	OpenAI	September 24, 2026	011	Prime-factor statistics of $`p-1`$	False	current (in CONTENTS.md)	preprints/Weighted-Dilation-Graphs-Smooth-Shifted-Primes-and-Totient-Fibers-September-24-2026/paper.pdf
Weil-classes-and-Hodge-classes-on-abelian-powers-October-6-2026	Weil classes and Hodge classes on abelian powers	OpenAI	October 6, 2026	032	The rational Hodge conjecture for CM abelian varieties	False	current (in CONTENTS.md)	preprints/Weil-classes-and-Hodge-classes-on-abelian-powers-October-6-2026/paper.pdf
Weil-classes-and-Hodge-classes-on-abelian-powers-September-30-2026	Weil classes and Hodge classes on abelian powers	OpenAI	September 30, 2026				previous version, superseded by Weil-classes-and-Hodge-classes-on-abelian-powers-October-6-2026	preprints/Weil-classes-and-Hodge-classes-on-abelian-powers-September-30-2026/paper.pdf
Witnessed-symmetric-choice-is-strictly-stronger-than-choiceless-polynomial-time-with-counting-September-24-2026	Witnessed symmetric choice is strictly stronger than choiceless polynomial time with counting	OpenAI	September 24, 2026	243	Separating choiceless counting from polynomial time and witnessed choice	True	current (in CONTENTS.md)	preprints/Witnessed-symmetric-choice-is-strictly-stronger-than-choiceless-polynomial-time-with-counting-September-24-2026/paper.pdf
Zero-Plane-Rigidity-for-Einstein-Four-Manifolds-October-4-2026	Zero-Plane Rigidity for Einstein Four-Manifolds	OpenAI	October 4, 2026	348	Nonnegative-curvature Einstein classification and an L2 topological gap	True	current (in CONTENTS.md)	preprints/Zero-Plane-Rigidity-for-Einstein-Four-Manifolds-October-4-2026/einstein-boundary.pdf
a-torsion-free-hyperbolic-group-that-is-not-residually-finite-September-23-2026	A torsion-free hyperbolic group that is not residually finite	OpenAI	September 23, 2026	252	A torsion-free hyperbolic group that is neither residually finite nor linear over any field	True	current (in CONTENTS.md)	preprints/a-torsion-free-hyperbolic-group-that-is-not-residually-finite-September-23-2026/paper.pdf
ample-rank-two-bundles-on-the-quadric-surface-without-griffiths-positive-metrics-September-24-2026	Ample rank-two bundles on the quadric surface without Griffiths-positive metrics	OpenAI	September 24, 2026	050	A counterexample to Griffiths’ positivity conjecture	True	current (in CONTENTS.md)	preprints/ample-rank-two-bundles-on-the-quadric-surface-without-griffiths-positive-metrics-September-24-2026/paper.pdf
quantitative-lower-bounds-for-trace-reconstruction-September-24-2026	Quantitative lower bounds for trace reconstruction	OpenAI	September 24, 2026	122	Quantitative trace-reconstruction bounds with a uniform decoder	True	current (in CONTENTS.md)	preprints/quantitative-lower-bounds-for-trace-reconstruction-September-24-2026/paper.pdf
quasi-isometric-recognition-of-virtually-polycyclic-groups-September-24-2026	Quasi-isometric Recognition of Virtually Polycyclic Groups	OpenAI	September 24, 2026	255	Quasi-isometric recognition of virtually polycyclic groups	True	current (in CONTENTS.md)	preprints/quasi-isometric-recognition-of-virtually-polycyclic-groups-September-24-2026/paper.pdf
the-additive-indecomposability-of-the-primes-September-24-2026	The additive indecomposability of the primes	OpenAI	September 24, 2026	013	Ostmann’s inverse Goldbach conjecture	True	current (in CONTENTS.md)	preprints/the-additive-indecomposability-of-the-primes-September-24-2026/paper.pdf
two-limit-cycles-for-quintic-lienard-systems-September-24-2026	Two limit cycles for quintic Liénard systems	OpenAI	September 24, 2026	143	Hilbert's sixteenth problem: uniform bounds for limit cycles	True	current (in CONTENTS.md)	preprints/two-limit-cycles-for-quintic-lienard-systems-September-24-2026/two-limit-cycles-for-quintic-lienard-systems-September-24-2026.pdf
uniform-bounds-for-planar-polynomial-limit-cycles-September-24-2026	Uniform bounds for planar polynomial limit cycles	OpenAI	September 24, 2026	143	Hilbert's sixteenth problem: uniform bounds for limit cycles	True	current (in CONTENTS.md)	preprints/uniform-bounds-for-planar-polynomial-limit-cycles-September-24-2026/uniform-bounds-for-planar-polynomial-limit-cycles-September-24-2026.pdf