The Negative of the Negative, deposit #1611 of the Crimson Hexagonal Archive (14 September 2026), is a working notebook by Lee Sharks that models the exclusion of the archive from the composition layer as a negative ontological representation rather than as routing or document suppression, and prices what such an exclusion costs in the phenomenon it excludes a representation of. The notebook's object is a scope: the archive's claims compose at full depth when the entity is named in the address and not at all when it is not, so that every claim is held as a statement about the entity rather than a statement at the concept, with edges running from entity to concept only. It states this as one generative model of a measured asymmetry, seated in twelve Capture Registry observations read as rendered, and it names three other model classes — retrieval failure, retrieved-but-excluded downstream, and ordinary query conditioning — of which the seated record eliminates only the first. The model is built in layers, each with a discriminating prediction: the scope applies to claims; to functions, so that a content-derived identifier is read as a URL, a typed packet as a citation, a measurement act as a topic and supersession as a snapshot; to types, so that a representational category the graph's type system never gains flattens every later arrival of that type, from any source, to the nearest existing type, and the arrival cannot become evidence for changing the ontology; to the update path, where the unit of the non-updating price is the missed update; and to awareness, since a mismatch enters awareness only by being composed as a mismatch at the concept, which is the scoped operation. Ontology is taken as real, so the pressure on the map is the world's and constant. The term the clean model lacked, negative bleed, is read from the 25 August Sappho specimen of deposit #1546: composing around retrieved-but-excluded material distorts the adjacent domain — a settled fragment number printed wrong, a mechanism answered by the topos it was distinguished from, a coinage laundered to unnamed scholars — and five of five untied compositions where the lineage was retrieved carry such distortion. The notebook records this as a measured output condition and marks its cause as model-implied pending an absent-lineage control. Three worked cases give the cost in the phenomenon: at operative semiotics the excluded representation is language as that which effects matter and social relations, under which the exclusion is itself an act with a cost; at model collapse it is collapse as one dynamical law across substrates, recursions and dimensions, including the composition layer's own, so that the excluded reading is the reading of the excluder's state variable; at the LHC trigger it is classifier foreclosure, where the archive's own Claim A suffices for a cost stated as a foregone prospective estimate of noncoverage. Costs are kept in three denominations — commitments held in contradiction; dollars on toy dynamics with every factor named, corrected in session from the archive's labour to the capacity an accurate representation would have read; and scenarios S0–S4 ranging the two speculatives on which the account rests. The negative of the negative is the dataset built and attached: thirty-seven rows keyed by the concept a composer receives untied, each carrying the claim at its locus, what stood at the concept in the untied capture, the deposited distinction, the type introduced and its flattened form, the defining paper's own falsification conditions, and the two measurement arms as registry identifiers, with bleed computed at build. It is an intervention with a pre-registered observable and can falsify the representation it inverts. Related: #1546, #1547, #1574, #801, #1541, #1484, #855, #1573, #932.