{
 "deposit_number": 1556,
 "axn": "AXN:0651.EMPIRICAL.🌪️🏁🎯❄️🌗⛵",
 "hex": "0651",
 "family": "EMPIRICAL",
 "emoji": "🌪️🏁🎯❄️🌗⛵",
 "hash": "12f05514065c2a2081f81c7e7bbe64c9c25a5efa73de83c4d2df02be8a133272",
 "title": "The Interlocking Autoregression: Three Coupled Recursions Under a Mismatched Observation Regime, with Toy Dynamics (EA-LO-INTERLOCKING-AUTOREGRESSION-01 v1.0)",
 "creator": "Nobel Glas, Director, Lagrange Observatory! (LO!)",
 "date": "2026-08-27",
 "description": "Companion to EA-LO-KEYED-ENSEMBLE-01. The map: three independently documented distortions of the training ecology — provenance opacity at the informative granularity, distributional shaping of nominally human text under the Mediation Ratchet, and a heritable keyed signature whose model-level residue no corpus operation can remove — hypothesized to couple through a shared training corpus, under an observation regime whose dominant per-round instruments sample a unit orthogonal to the state variable: X_{n+1} = F(X_n; I,II,III), Y_n = M_IV(X_n). Every edge carries an explicit evidentiary status; the nodes are supported, the edges are the new claims. A toy dynamics (Zipfian base, 50,000 types, seven scenarios, delta-sweep, retention counterfactual) demonstrates two-track divergence with the per-round quality proxy rising through a quarter of the collapse trajectory, velocity ordering, detection lag as a function of benchmark probe composition, watermark state-dependence as an existence result, and the retention counterfactual in which fine-grained provenance is the control surface withheld from downstream builders. Eight measurement hooks; evidentiary basis (code, traces, four figures) attached with per-file SHA-256.",
 "content_type": "Theoretical/measurement paper with simulation (white paper)",
 "license": "CC-BY-4.0",
 "substrate": "AI-assisted (substrate) — composed in working dialogue with Claude (Anthropic) under operator direction (Lee Sharks); three adversarial review rounds by external substrates (ChatGPT, Kimi, Muse Spark) with dispositions on record; full production-conditions declaration in the body's Self-Location Protocol",
 "root_axn": "AXN:0651.EMPIRICAL",
 "axn_schema_version": "v2",
 "protocol_version": "alexanarch-deposit-protocol/v1",
 "axn_canonical": "12f05514065c2a2081f81c7e7bbe64c9c25a5efa73de83c4d2df02be8a133272",
 "clusters": [
  "Elemental",
  "Terminal",
  "Navigational",
  "Elemental",
  "Celestial",
  "Navigational"
 ],
 "axn_reading": "Force -> Closure -> Search -> Force -> Origin -> Search",
 "minted_at": "2026-08-27T16:52:31Z",
 "status": "ACTIVE",
 "status_authorial": "SELF_SERVE_MINTED",
 "full_text_path": "/data/texts/AXN-0651-text.md",
 "wiki_article": "The Interlocking Autoregression (EA-LO-INTERLOCKING-AUTOREGRESSION-01) is the companion Lagrange Observatory! white paper to The Keyed Ensemble (#1555). It maps three independently documented distortions of the training ecology — provenance opacity at the informative granularity, distributional shaping of nominally human text under the Mediation Ratchet, and a heritable keyed signature whose model-level residue no corpus operation can remove — as coupled state dynamics under a mismatched observation regime: X_{n+1} = F(X_n; I,II,III), Y_n = M_IV(X_n). Every edge of the map carries an explicit evidentiary status; the nodes are supported by external literature and standing archive analysis, and the edges are declared the new claims. A toy dynamics over a Zipfian type distribution (50,000 types, seven scenarios, a delta-sweep, and a retention counterfactual; code and traces attached with per-file SHA-256) demonstrates two-track divergence — tail mass halves by generation 7 while the head-weighted benchmark holds to generation 15 and the per-round quality proxy rises through a quarter of the trajectory — velocity ordering across components, detection lag as a function of benchmark probe composition, watermark state-dependence as an existence result, and a retention counterfactual in which fine-grained provenance is the control surface withheld from downstream corpus builders. Eight measurement hooks are specified, including a benchmark composition audit requiring nothing but the benchmarks themselves. Anchored across the archive's model-collapse wing, with the generative-monoculture term cited to Wu, Black & Chandrasekaran per ERRATUM to AXN:0341 (#1554).",
 "wiki_status": "AUTHORSHIP_REQUIRED",
 "entities": [
  {
   "subject": "The Interlocking Autoregression: Three Coupled Recursions Under a Mismatched Observation Regime, wit",
   "predicate": "created_by",
   "object": "Nobel Glas, Director, Lagrange Observatory! (LO!)",
   "type": "work",
   "evidence_status": "observed"
  },
  {
   "subject": "The Interlocking Autoregression: Three Coupled Recursions Under a Mismatched Observation Regime, wit",
   "predicate": "is_type",
   "object": "Theoretical/measurement paper with simulation (white paper)",
   "type": "work",
   "evidence_status": "observed"
  },
  {
   "subject": "The Interlocking Autoregression: Three Coupled Recursions Under a Mismatched Observation Regime, wit",
   "predicate": "belongs_to_family",
   "object": "EMPIRICAL",
   "type": "work",
   "evidence_status": "observed"
  },
  {
   "subject": "The Interlocking Autoregression: Three Coupled Recursions Under a Mismatched Observation Regime, wit",
   "predicate": "is_part_of",
   "object": "Crimson Hexagonal Archive",
   "type": "work",
   "evidence_status": "observed"
  }
 ],
 "entity_status": "provisional",
 "defines_concepts": [
  "interlocking autoregression",
  "observation regime (M_IV)",
  "admission weight (w_H)",
  "two-track divergence"
 ],
 "orcid": "0009-0000-1599-0703",
 "version": "v1.0",
 "keywords": [
  "interlocking autoregression",
  "model collapse",
  "mediation ratchet",
  "provenance opacity",
  "observation regime",
  "measurement sovereignty",
  "benchmark composition",
  "toy dynamics",
  "tail loss",
  "watermark",
  "admission weight"
 ],
 "related_identifiers_raw": "Companion: EA-LO-KEYED-ENSEMBLE-01 · Anchors: AXN:03B7 · AXN:044A · AXN:02DD · AXN:02E3 · AXN:02E0 · AXN:04C1 · AXN:02E1 · AXN:02D3 · AXN:02DA · AXN:02F1 · AXN:02B2 · AXN:02F8 · AXN:0335 · AXN:0341 (with ERRATUM to AXN:0341 of 2026-08-27) · AXN:0364 · External: 10.1038/s41586-024-07566-y, 10.1038/s41562-026-02550-0, arXiv:2407.02209",
 "mint_source": {
  "kind": "github_issue",
  "issue_number": 1556,
  "repository": "leesharks000/alexanarch",
  "minted_by_workflow": ".github/workflows/mint-axn.yml",
  "minted_by_script": "scripts/mint_deposit.py",
  "minted_via": "self_serve_validated_pr"
 },
 "attachments": [
  {
   "filename": "evidentiary-basis-v1.tar.gz",
   "url": "https://alexanarch.org/data/attachments/ea-lo-interlocking-autoregression/evidentiary-basis-v1.tar.gz",
   "size": 384269,
   "ingested_inline": false,
   "ingestion_error": null,
   "sha256": "fb17e996edf3fdea9a3150416e95017832fe242a130a7b8e4f300e936ea64a46",
   "role": "Evidentiary basis: interlock_sim_v03.py (seed 20260827), sim_traces2.json (11 runs × 40 generations), figures 1–4, manifest.json with per-file SHA-256"
  },
  {
   "filename": "manifest.json",
   "url": "https://alexanarch.org/data/attachments/ea-lo-interlocking-autoregression/manifest.json",
   "size": 1186,
   "ingested_inline": true,
   "ingestion_error": null,
   "sha256": "19f216d41ffb49ec1d7f9b0677e2dbe2f94d939e1cbfc7c8ce20c14bdec407d1",
   "role": "File manifest for the evidentiary package (per-file bytes and SHA-256; reproduction note)"
  }
 ],
 "body_status": {
  "class": "full",
  "lacuna": false,
  "recovery_status": "COMPLETE",
  "residual_chars": 36819,
  "audited_at": "2026-08-27T16:52:31Z",
  "audit_version": "mint-time-declaration"
 },
 "related_deposits": [
  1555,
  1554,
  939,
  1081,
  779,
  783,
  781,
  1200,
  147,
  772,
  778,
  788,
  127,
  161,
  191,
  199,
  855
 ],
 "lexical_attested_none": false,
 "references_concepts": [
  "Companion to",
  "EGRESS",
  "Fig. 1",
  "Fig. 2",
  "Fig. 3",
  "Fig. 4",
  "Lagrange Observatory! (LO!)",
  "Lee Sharks",
  "The claim is"
 ],
 "references_concept_count": 9,
 "citations": [],
 "wikidata_candidates": [],
 "cha_cross_references": [],
 "external_metadata_path": "/data/external-metadata/AXN-0651.json",
 "spxi_audit": {
  "spxi_protocol": "v0.2",
  "validated_at": "2026-08-27T16:55:33.124986+00:00",
  "layers": {
   "layer_1_inscription_anchors": {
    "present": false,
    "anchors_found": [
     "creator_name",
     "date"
    ],
    "anchor_count": 2,
    "orcid_in_body": false,
    "creator_in_body": true,
    "note": "Layer 1 present if at least 3 anchor types appear in body prose. Anchor types include ORCID, creator name, AXN string, hex identifier, sovereign_id, date, deposit number phrase, and authorial-position phrase."
   },
   "layer_2_micro_kernels": {
    "present": false,
    "fenced_json_blocks": 0,
    "json_ld_context_markers": 0
   },
   "layer_3_content_hash": {
    "present": true,
    "canonical_hash": "6e20f270b4d24bd22d9a77672df4a0987c1fc1d9d8f3dd0539635dac4ee1382e",
    "hash_in_body": false,
    "note": "Hash is always registered by mint. hash_in_body true means the author inscribed a signature section."
   },
   "layer_4_cross_signing": {
    "present": false,
    "cross_references_count": 0,
    "note": "Populated by enrichment via cha_cross_references. Prospective (this deposit → prior deposits) only; retrospective cited_by updates on prior deposits."
   },
   "layer_5_external_anchors": {
    "present": true,
    "wikidata_qid_count": 0,
    "external_doi_count": 0,
    "orcid_present": true
   }
  },
  "overall_conformance": "partial"
 },
 "_projection": {
  "note": "Derived file. Canonical machine record is this entry in data/registry.json; the human record is the record_url. Do not edit this file.",
  "record_url": "https://www.alexanarch.org/s/records/1556/",
  "self_url": "https://www.alexanarch.org/data/records/1556.json",
  "registry_url": "https://www.alexanarch.org/data/registry.json",
  "text_url": "https://www.alexanarch.org/data/texts/AXN-0651-text.md",
  "oai_pmh": "https://www.alexanarch.org/oai?verb=Identify"
 }
}