the register to head C96
the conjectures
The full corpus that the model carries — the V6 register index and the lineage table beneath it. Each claim wears its weight, status, confidence, and source; where a surface disagrees with the register, the register wins.
the register head · C96
The conjecture register at V6
when any surface and the register disagree, the register wins
This is the register-mirror index the V6 model ships — every numbered claim, grouped the way the register groups them, each with its one-line state. Expand any entry ▸ for its full register row — claim · confidence · status · lineage · home — mirrored from agentprivacy-docs/research/CONJECTURE_REGISTER_V6.md (97 rows · synced 2026-07-13 · the register remains the authority; this mirror is generated, never hand-edited). full statements, confidences, statuses, and homes live in the register; this index mirrors it at publication (2026-06-10, head C89), the Run 8 Limitative Reading (2026-06-28, head C93), and the Hearthold Reading (2026-07-01, head C96).
core · V1–V5.4 (C1–C17)
C1φ optimal S/M ratio (open)
Golden ratio φ is optimal S/M (protect:project) ratioconf openstatus openregister corehome formal spec §17.1C2A(τ) logarithmic (open)
A(τ) should be logarithmicconf openstatus openregister corehome formal spec §17.1C3challenged
Edge value is additiveconf —status challenged (path integral replaces)register corehome formal spec §17.3C4resolved
96 vs 64 discrepancyconf —status resolved (holographic + algebraic)register corehome formal spec §17.3C5resolved
~3,000× ZKP reductionconf —status resolved (strengthened by BRAID + holographic bound)register corehome formal spec §17.3C6P^1.5 ↔ 96/64 convergent 35%
P^1.5 ↔ 96/64 is structuralconf 35%status convergentregister corehome formal spec §17.1C7three-axis multiplicative 30% · falsification frontier
Three-axis separation is multiplicativeconf 30%status active · V6 falsification frontierregister corehome formal spec §17.1C8BRAID reduces R_max 45%
BRAID compression reduces R_maxconf 45%status activeregister corehome formal spec §17.1C9holographic sufficiency 25%
Holographic boundary sufficiencyconf 25%status activeregister corehome formal spec §17.1C10O(1) shared-parent 20%
O(1) shared-parent modifies kconf 20%status activeregister corehome formal spec §17.1C11behavioural density 55%
Behavioural density ρ amplifies privacy, indicates maturityconf 55%status activeregister corehome formal spec §17.1C12hexagram resonance 60%
Hexagram encoding is structurally resonantconf 60%status activeregister corehome formal spec §17.1C13bilateral witness quantum-resistant 65%
Bilateral witness as quantum-resistant primitiveconf 65%status activeregister corehome formal spec §17.1C14Φ_agent ≅ D₂ₙ 75%
Φ_agent ≅ D₂ₙ dihedral isomorphismconf 75%status activeregister corehome formal spec §17.1C15T_∫ ≅ UOR pipeline 65%
T_∫(π) ≅ UOR resolution pipelineconf 65%status activeregister corehome formal spec §17.1C16Betti invariants 25%
Topological trust invariants via Betti numbersconf 25%status activeregister corehome formal spec §17.1C17amnesia > policy 60% · quantitative via C83
Amnesia-enforced separation tighter than policy-enforcedconf 60%status active · made quantitative at V6 Run 2register corehome formal spec §17.1
V6 series · April 2026 (C18–C37)
C18-C21Lorenz dynamical ceiling 10-30%
C18Sovereignty path exhibits strange attractor dynamics (λ > 0); dynamical reconstruction ceilingconf 25%status activeregister sharedhome pvm-v6-lorenz-attractor.mdC19ρ is Lyapunov divergence accumulated over the walkconf 20%status activeregister sharedhome pvm-v6-lorenz-attractor.mdC20Three axes couple as three Lorenz variablesconf 30%status activeregister sharedhome pvm-v6-lorenz-attractor.mdC21Sovereignty manifold has fractal dimensionconf 10%status activeregister sharedhome pvm-v6-lorenz-attractor.mdC22-C25EML three ceilings 15-30%
C22Reconstruction cost grows exponentially with EML tree depthconf 20%status activeregister sharedhome pvm-v6-eml-three-ceilings.mdC23Blade forge grammar isomorphic to restricted EML grammarconf 30%status activeregister sharedhome pvm-v6-eml-three-ceilings.mdC24Sovereignty computation requires complex intermediatesconf 15%status activeregister sharedhome pvm-v6-eml-three-ceilings.mdC25Minimal EML tree depth is hard floor for compression spectrumconf 25%status activeregister sharedhome pvm-v6-eml-three-ceilings.mdC26-C29ARCH-1 canonical form 20-40%
C26ARCH-1 is canonical form of NAND, EML, succ as co-instancesconf 40%status activeregister sharedhome pvm-v6-arch1-canonical-form.mdC27ρ is the activation mechanism; Ω without ρ is inertconf 35%status activeregister sharedhome pvm-v6-arch1-canonical-form.mdC28Three ceilings independent because ARCH-1 factors into β / μS / Ωconf 30%status activeregister sharedhome pvm-v6-arch1-canonical-form.mdC29The Second Person Lift: You := μS.(β ∨ Ω(S,S))conf 20%status activeregister sharedhome pvm-v6-arch1-canonical-form.mdC30-C33Bakhta half-life 45-60%
C30Trust half-life begins at inscription; decays until renewedconf 60%status activeregister sharedhome pvm-v6-1-bakhta-half-life.mdC31Half-life differs by inscription register (shielded vs transparent)conf 55%status activeregister sharedhome pvm-v6-1-bakhta-half-life.mdC32Productive trust-edges have higher half-life than transactionalconf 50%status active · C46 restates thisregister sharedhome pvm-v6-1-bakhta-half-life.mdC33Half-lives compose multiplicatively across the three axesconf 45%status activeregister sharedhome pvm-v6-1-bakhta-half-life.mdC34-C37wound and cap 50-60%
C34Convergence requires a bijective capconf 55%status activeregister sharedhome pvm-v6-convergence-wound-and-cap.mdC35The wound is where the architectural asymmetry livesconf 60%status activeregister sharedhome pvm-v6-convergence-wound-and-cap.mdC36The cap is where the bijection lives or breaksconf 55%status activeregister sharedhome pvm-v6-convergence-wound-and-cap.mdC37Convergence is recognition, not coincidenceconf 50%status activeregister sharedhome pvm-v6-convergence-wound-and-cap.md
the bound collection (C38–C46)
C38bilateral ARCH-1 40%
Bilateral ARCH-1: Σ_ij := μS.(β_ij ∨ Ω(S_i, S_j)) preserves fixpointconf ~40%status activeregister sharedhome formal spec §17.2.1 · Tome IV Act IIIC39kindred-blade 80% (discharged Tome X)
Kindred-blade as ecosystem-layer primitiveconf ~80%status active · PROMOTED 2026-07-01 (Tome X): the cousin-forge built the whole PVM triad on Archon did:cid — a running second-forge realisation of the cousin-blade primitive, discharged from ~50%register sharedhome formal spec §17.2.1 · Tome IV Act V · Tome X Act 1C40Zcash dual-ledger 70%
Zcash dual-ledger preserves Eight Cloak Propertiesconf ~70%status active · KEEPS this number (see G1 disposition 1)register sharedhome formal spec §17.2.1C41observation
61.8/38.2 transparent/shielded inscription ratio as cultural normconf —status observationregister sharedhome formal spec §17.2.1C42stake sybil resistance 50%
Stake economics generate Sybil resistance ≥ tier accumulationconf ~50%status active · V6 Run 5 adversary-regime contextregister sharedhome formal spec §17.2.1C43per-VRC viewing-key 60%
Per-VRC viewing-key disclosure strictly more private than unscopedconf ~60%status activeregister sharedhome formal spec §17.2.1C44productive VRC 55%
Productive VRC ≈ hash-exchange VRC in trust strengthconf ~55%status activeregister sharedhome formal spec §17.2.1C45four-chain 70%
Four-chain publication beats single-chain reconstruction resistanceconf ~70%status activeregister sharedhome formal spec §17.2.1C46alias of C32
Productive trust-edge has higher half-life than transactionalconf ~50%status alias of C32 (restatement; retained for tome continuity)register cityhome formal spec §17.2.1
post-V5.4 coherence (C47–C55)
C47ages progressively 50%
Ages progressively: the dynamical ceiling is a fourth aging category beyond Bakhta's taxonomyconf ~50%status active · KEEPS this number (see G1 disposition 2)register corehome v6_1_research_note.md (renumbered from C22-Bakhta, 2026-05-09)CM-C47alias of C85
Triadic-Constraint Homology: Φ-axes × PRISM Datum·Stratum·Spectrum instances of one triadic primitiveconf ~40%status alias of C85 (promoted Run 4, 2026-06-10); City prose keeps CM-C47 with one erratum at Wave Rregister cityhome Tome V Act 15 · tome-v-conjectures.tsC48reconstruct-later 65% (alias C60)
Reconstruct-later threat model isomorphic to Bakhta TM-1conf ~65%status active · C60 restates this (City register)register corehome v6_1_research_note.md (from C23-Bakhta)C49Behavioural Mosca 70% (alias C61)
Behavioural Mosca Inequality binds for long-horizon behavioural evidenceconf ~70%status active · C61 restates this (City register)register corehome v6_1_research_note.md (from C24-Bakhta)C50gating ≡ compositional defense 60%
PVM multiplicative gating ≡ Bakhta compositional defense at different substratesconf ~60%status activeregister corehome v6_1_research_note.md (from C25-Bakhta)C51-C55occupied, never reassign
C51The ⿻ remains max-betweenness across trust-graph evolutionsconf openstatus occupied · never reassignregister sharedhome CHRONICLE_V5_4_BETWEENNESS_SELENEC52Aether = Quintessence = the Gapconf openstatus occupied · never reassignregister sharedhome aether-blade-ceremony-circuit.mdC53Every bnot-pair on the lattice has a mythological readingconf ~70%status occupied · never reassignregister sharedhome aletheia-and-lethe.mdC54Phi-Adjacency: bnot-pair disclosure ratios cluster near 1/φconf ~40%status occupied · never reassign · follows the number (Aletheia at 38 keeps disclosure-φ, 2026-06-09 lock)register sharedhome aletheia-and-lethe.mdC55Privacy is the seventh kind of capital, foundationallyconf architecturalstatus occupied · never reassignregister sharedhome poems/tide-orbit-selene.md
the city register (C56–C66)
C56caduceus 60%
Caduceus as pre-formal dual-agent symbolconf ~60%status active (renumbered from C50 in Threshold chronicle)register cityhome tome-v-conjectures.ts · Tome V Act 16C57held open
Staff-Mage collapse, held openconf —status observationregister cityhome tome-v-conjectures.tsC58Forge(t) ∥ Threshold 85%
Forge(t) ∥ Threshold sibling Swordsman-suppliersconf ~85%status active (promoted v1.6.0)register cityhome tome-v-conjectures.tsC59create-format gateway 70%
Create-format as gateway to Mage-tierconf ~70%status active (renumbered from C49 in Threshold chronicle)register cityhome tome-v-conjectures.tsC60alias of C48
Reconstruct-later threat model for behavioural dataconf ~65%status alias of C48 (renumbering eddy: v1.5.0 patch C48 → C60)register cityhome tome-v-conjectures.tsC61alias of C49
Behavioural Mosca Inequality (planning bound)conf ~70%status alias of C49 (renumbering eddy: v1.5.0 patch C49 → C61)register cityhome tome-v-conjectures.tsC62reserved
Cross-coalition meta-coalition readingconf —status reserved (v1.5.1, no claim authored)register cityhome tome-v-conjectures.tsC63attentional register 50%
Attentional workshop register, fourth structural classconf ~50%status active (population-of-one)register cityhome tome-v-conjectures.ts · Tome V Act 17C64listener-discipline tier 50%
Listener-discipline as the City's structural seventh tierconf ~50%status active (population-of-one, v1.7.0)register cityhome cityofmages CHANGELOGC65invitation-posture 50%
Invitation-posture as fourth tome-posture registerconf ~50%status active (population-of-one, v1.7.1)register cityhome cityofmages CHANGELOGC66Key is a reading 55%
The City Key is a reading, not an authorityconf ~55%status active · revised Run 5, 2026-06-10 (+10 via ocap lineage citation: SPKI/SDSI, designation without authority) · City register owner confirms at Wave Rregister cityhome 2026-05-28 capstone chronicle · privacy_value_v6_draft.md Part V §V.5
Horizon District · pinned v1.8.0 (C67–C71)
C67cryptographic Mosca
Cryptographic Mosca for the substrate (extends C30 to C33 + C61; C60 is the X-side)conf stage 1status activeregister cityhome 2026-06-09 horizon district note · grimoire v1.8.0C68resource-estimate as durability signal
Resource-estimate as durability signal, not attack (e^(−λt) reading)conf stage 1status activeregister cityhome sameC69held-out gate
Held-out gate rejects the tuned claim (nonce-island; C13 at the validation layer)conf stage 1status activeregister cityhome sameC70crypto-agility
Crypto-agility as migration readiness (C30 to C33 migration-window Y)conf stage 1status activeregister cityhome sameC71Horizon Vertex V35
The Horizon Vertex V35 (Protection ∧ Computation ∧ Value)conf geometricstatus activeregister cityhome same
renumbered at Run 0 (C72–C80)
C72-C76ARCH-1R/T (was provisional C67-C71)
C72Traversal ρ of ARCH-1R/T and activation ρ of ARCH-1 are one operator at two scopesconf ~35%status activeregister corehome pvm-v6-arch1rt-operational-reachability.md (was C67)C73Terminal-obstruction is a primitive obstruction class; Amnesia Protocol its canonical instanceconf ~50%status active · V6 Run 4 materialregister corehome same (was C68)C74Latency (ternary 0) has an algebraic signature on the blade latticeconf ~25%status activeregister corehome same (was C69)C75Dependency closure under typed propagation models real cascade; hard-vs-soft is the 0-vs-minus distinction liftedconf ~35%status activeregister corehome same (was C70)C76UOR-relational instantiation (classifying rel(a,b)) strictly more expressive for sovereigntyconf ~30%status activeregister corehome same (was C71)C77-C80integrity-gap convergence (was provisional C70-C73)
C77Bakhta's integrity gap and PVM's scales-vs-hides separation are one objectconf ~60%status activeregister corehome pvm-v6-bakhta-integrity-gap-convergence.md (was C70)C78Specification-intent gap and the irreducible promise are one object, two sidesconf ~60%status activeregister corehome same (was C71)C79Shared frontier: recursive proof composition across providers under heterogeneous trust at runtimeconf ~45%status active · V6 Run 5 IVC adjacencyregister corehome same (was C72)C80Bilateral co-signed assumption sets yield strict assurance gain in multi-provider caseconf ~35%status activeregister corehome same (was C73)
registered in the V6 runs (C81–C89)
C81Existence-Leak 70%
Existence-Leak: a ZK proof of feasibility leaks an upper bound on reconstruction difficulty; I(feasibility; method) > 0conf ~70%status active · PROMOTED Run 3 2026-06-10 (Schrottenloher instance + Garg-Jain-Sahai λ<1 impossibility as bookends) · Stage 2 open: held at 70% until a second independent instance · Tarski axis-reading added Run 8 2026-06-28 (C92), framing only, Stage-2 bar unchangedregister corehome schrottenloher-ecdlp-v6-note.md · privacy_value_v6_draft.md Part III · limitative-theorems-and-privacy-is-value.md §3C82Moving Ceiling 65%
The Moving Ceiling: frontier capability growth raises C_S(t) + C_M(t) against fixed archives without raising H(X); R(t) drifts upward and every static reconstruction guarantee has a finite shelf life t*conf ~65%status active · registered Run 1, 2026-06-10register corehome privacy_value_v6_draft.md Part I §I.3C83Compositional Leakage Amplification 55%
Compositional Leakage Amplification: policy-only separation compounds toward (2^N − 1)ε with chain depth; amnesia separation breaks the Markov chain and caps at Nε; the gap is exponential-to-linearconf ~55%status active · registered Run 2, 2026-06-10 · edge C7 → C83 → C17register corehome privacy_value_v6_draft.md Part II §II.3C84Existence-Leak Discount 50%
Existence-Leak Discount: every public feasibility attestation discounts the Behavioural Mosca horizon, Z_b' = Z_b − D(a); migration deadlines tighten on attestation, independent of any actual attackconf ~50%status active · registered Run 3, 2026-06-10 · edges C81 → C84 → C49, C84 → C82register corehome privacy_value_v6_draft.md Part III §III.3C85Triadic-Constraint Homology (ARCH-1 bridge) 40%
Triadic-Constraint Homology (the ARCH-1 bridge, promoted from CM-C47): the three Φ axes and the lattice's Datum·Stratum·Spectrum are one triadic primitive; candidate pair map Protection+Delegation→Σ, Memory+Value→Δ, Connection+Computation→Γ; the gap is βconf ~40%status active · registered Run 4, 2026-06-10 · CM-C47 becomes alias · two named predictions (bnot-pairs invert all axes; stratum-3 is the no-dominant-axis seat)register corehome privacy_value_v6_draft.md Part IV §IV.2C86Obstruction-Theoretic Amnesia 30%
Obstruction-Theoretic Amnesia: Grade-2 forgetting = non-vanishing obstruction class to gluing local agent views into a global witness of O; Grade-1 = vanishing class with withheld gluing data; amnesia is the only term whose security is independent of tconf ~30%status active · registered Run 4, 2026-06-10 · cross-linked C73 (taxonomy placement vs cohomological content) · falsification: any view-composition recovering Grade-2-forgotten Oregister corehome privacy_value_v6_draft.md Part IV §IV.4C87The Key Accumulates (IVC) 50%
The Key Accumulates: the City Key trust recursion admits an IVC realization (Key = accumulator, trust tasks = step circuits, Charge = folding step, V63 = attested invariant); LatticeFold makes the substrate post-quantum-hedgedconf ~50%status active · registered Run 5, 2026-06-10 · architectural claim, no circuit existsregister corehome privacy_value_v6_draft.md Part V §V.2C88Parity Cube 30%
The Parity Cube: the stella octangula's two tetrahedra are the even/odd parity classes of the cube's vertices; the canonical seat of neg/bnot at 3-bit scale; {0,1}⁶ = {0,1}³ × {0,1}³ gives each agent a cube, with the C85 pair map as candidate factoringconf ~30%status active · registered Run 5, 2026-06-10register corehome privacy_value_v6_draft.md Part V §V.4C89Octahedral Gap 30%
The Octahedral Gap: the tetrahedra's intersection (volume 1/6 of the cube) is the geometric locus of the conditional-independence bound; the gap is β is the octahedron, three readings of one thingconf ~30%status active · registered Run 5, 2026-06-10 · volume facts are theorems, the correspondence is the conjectureregister corehome privacy_value_v6_draft.md Part V §V.4
the Limitative Reading · Run 8 (C90–C93)
C90Limitative Inversion 90% observation
The Limitative Inversion: completeness ⇒ Φ → 0 ⇒ collapse is the value-sign reversal of completeness ⇒ inconsistency ⇒ collapse; the unreconstructable remainder is load-bearing. C17 stated in limitative terms. Edges → C17, → C7conf ~90% as observationstatus observation · registered Run 8, 2026-06-28 · no reduction claimedregister corehome limitative-theorems-and-privacy-is-value.md §1, §4C91Gödel ↔ Φ_agent 60%
Gödel ↔ Φ_agent: zero-memory (Selene) is the Φ_agent instance of Gödel's first theorem; a witness real yet underivable from within, intrinsic to a single system; destroying it is a structural act of separation. Edges → C14, → C86, → C17conf ~60%status active · registered Run 8, 2026-06-28 · conjecturalregister corehome limitative-theorems-and-privacy-is-value.md §2, §3.3, §4C92Tarski ↔ Φ_inference 70%
Tarski ↔ Φ_inference: existence-leak is the Tarski-undefinability instance loading on Φ_inference; feasibility-truth escapes containment across systems and accumulates across observers; D(X) monotone non-increasing in corroborating systems. Absorbs the Gödelian seed (existence as positive provability). Rides on C81; cannot exceed its base. Edges → C81, → C84conf ~70%status active · registered Run 8, 2026-06-28 · conjectural · capped at C81's baseregister corehome limitative-theorems-and-privacy-is-value.md §3, §4C93Content-Addressed Liveness Leak 55%
Content-addressed liveness leak: a live content-address is an existence claim about its content; deduplication/GUID liveness leaks existence, and existence bounds the search. The address does not leak content; its liveness leaks existence. Edges → C81, → C92conf ~55%status active · registered Run 8, 2026-06-28 · conjecturalregister corehome limitative-theorems-and-privacy-is-value.md §3.5, §3.6
the Hearthold Reading (C94–C96)
- notecity-lineage; registered 2026-07-01 with cityofmages Tome X — The Hearth + grimoire v1.9.1; read off the cousin-forge's running did:cid build (Hearthold); discharges C39
C94Separation Principle in a second substrate 55%
Separation Principle in a Second Substrate: `s ⊥ mconf X` realised as a running build on Archon did:cid — the model holds independent of its stones; a second-forge realisation strengthens the abstract convergence case (C34–C37). Edges → C39, → C7status ~55%register active · registered 2026-07-01 (Tome X)home cityC95Evidence Graph as the anti-score 55%
The Evidence Graph as the Anti-Score: issuer-attested disclosure — a signed, decomposable evidence graph verified offline against issuer DIDs — is the structural refusal of the reputation score; trust rests on the issuer's signature, not the custodian's word. Edges → C61, → C17conf ~55%status active · registered 2026-07-01 (Tome X)register cityhome grimoire v1.9.1 · Tome X Act 1 · spellweb `conj-c95`C96control-plane ⊥ data-plane 60%
Control-Plane ⊥ Data-Plane: the Sovereign authorizes the rules the Warden enforces; splitting the occasional control plane from the always-on data plane means compromising the always-on host cannot author authority. Edge → C94conf ~60%status active · registered 2026-07-01 (Tome X)register cityhome grimoire v1.9.1 · Tome X Act 1 · spellweb `conj-c96`
The table below is the lineage detail — the claims as they were first written, C1 through C63, math-atomic in PVM v5.4 and narrative-instanced in Tome V. Where a status here disagrees with the register above, the register wins. Weight says where the load sits; status says how settled the claim was at inscription; confidence is the stated percentage where one exists; source says which register wrote it; acts counts the City-of-Mages acts that instance or strengthen the claim. There are 52 entries total: 21 PVM-atomic and 31 Tome V narrative — the C18-C21 overlap appears twice because both registers wrote it.
| id | claim | weight | status | conf | source | acts |
|---|---|---|---|---|---|---|
| C1 | Golden ratio φ is optimal S/M ratio | interpretive | observation | — | pvm-v5.4 | — |
| C2 | Aₕ(τ) should be logarithmic | structural | observation | — | pvm-v5.4 | — |
| C3 | Edge value is additive | resolved | canonical | — | pvm-v5.4 | — |
| C4 | 96/64 discrepancy | resolved | canonical | — | pvm-v5.4 | — |
| C5 | ~3,000× ZKP reduction | resolved | canonical | — | pvm-v5.4 | — |
| C6 | P^1.5 ↔ 96/64 structural | structural | observation | 35% | pvm-v5.4 | — |
| C7 | Three-axis separation is multiplicative | structural | observation | 30% | pvm-v5.4 | — |
| C8 | BRAID compression reduces R_max | operational | observation | 45% | pvm-v5.4 | — |
| C9 | Holographic boundary sufficiency | structural | observation | 25% | pvm-v5.4 | — |
| C10 | O(1) shared-parent modifies k | operational | observation | 20% | pvm-v5.4 | — |
| C11 | ρ amplifies reconstruction difficulty + indicates maturity | structural | provisional | 55% | pvm-v5.4 | — |
| C12 | Hexagram encoding coherence | interpretive | provisional | 60% | pvm-v5.4 | — |
| C13 | Bilateral witness as quantum-resistant primitive | operational | provisional | 65% | pvm-v5.4 | — |
| C14 | Φ_agent ≅ D₂ₙ dihedral isomorphism | structural | provisional | 75% | pvm-v5.4 | — |
| C15 | T_∫(π) ≅ UOR resolution pipeline | structural | provisional | 65% | pvm-v5.4 | — |
| C16 | Topological trust invariants (Betti numbers) | structural | observation | 25% | pvm-v5.4 | — |
| C17 | Amnesia-enforced > policy-enforced separation | structural | provisional | 60% | pvm-v5.4 | — |
| C18 | Strange attractor dynamics (λ > 0), dynamical reconstruction ceiling V6 horizon | structural | observation | 25% | pvm-v5.4 | — |
| C18-C21 | Lorenz Attractor The RUN phase walks an attractor — trajectory is the framing. | narrative | canonical | 100% | tome-v | 1 |
| C19 | ρ = Lyapunov divergence (exponential compounding) V6 horizon | structural | observation | 20% | pvm-v5.4 | — |
| C20 | Three axes couple as Lorenz variables V6 horizon | structural | observation | 30% | pvm-v5.4 | — |
| C21 | Sovereignty manifold has fractal dimension V6 horizon | interpretive | observation | 10% | pvm-v5.4 | — |
| C22-C25 | EML Three Ceilings Three computational ceilings the CRAFT phase must respect. | narrative | canonical | 100% | tome-v | 2 |
| C26-C29 | ARCH-1 Canonical Form Σ := μS.(β ∨ Ω(S,S)) — the recursive μ-fixpoint admits multiple inhabitants. | narrative | canonical | 100% | tome-v | 11 |
| C30-C33 | Bakhta Half-Life Trust accumulates in arcs and decays with a half-life that begins at inscription. | narrative | canonical | 100% | tome-v | 5 |
| C34-C37 | Wound and Cap · Convergence The cloak is the operational instance of the convergence claim. | narrative | canonical | 100% | tome-v | 2 |
| C38 | Bilateral ARCH-1 Σ_{ij} := μS.(β_{ij} ∨ Ω(S_i, S_j)) — bilateral fold of the canonical form. | narrative | provisional | 40% | tome-v | 2 |
| C39 | Kindred-Blade as Ecosystem Primitive Kindred-blade primitives — any Mage's vertex catalogue regardless of forge — are agent-ecosystem-grade citizens of the lattice. Reframed 2026-05-10 from "cousin-blade": we are all just another mage. | narrative | provisional | 50% | tome-v | 8 |
| C40 | Zcash Dual-Ledger Preservation Zcash dual-ledger preserves the Cloak's Eight Properties across shielded and transparent registers. | narrative | provisional | 70% | tome-v | 6 |
| C41 | 61.8 / 38.2 Inscription Ratio The transparent/shielded inscription ratio appears to settle near the golden ratio as cultural emergence. | narrative | observation | — | tome-v | 2 |
| C42 | Stake Economics Sybil Resistance Stake economics generate Sybil resistance equivalent to or stronger than tier accumulation. | narrative | provisional | 50% | tome-v | 1 |
| C43 | Per-VRC Viewing-Key Privacy Per-VRC viewing-key disclosure produces strictly more privacy than uniform disclosure. | narrative | provisional | 60% | tome-v | 1 |
| C44 | Productive Trust-Edge Formation Trust edges form productively (not transactionally) when work is rendered as service. | narrative | provisional | 55% | tome-v | 6 |
| C45 | Four-Chain Publication Preservation Four-chain publication preserves reconstruction-resistance across artifact types. | narrative | provisional | 70% | tome-v | 5 |
| C46 | Productive Trust-Edge Half-Life Productive trust-edges have higher half-life than transactional ones. | narrative | provisional | 50% | tome-v | 1 |
| C47 | Triadic-Constraint Homology (CM-C47 → C85) agentprivacy's three-axis Φ_agent · Φ_data · Φ_inference and PRISM's triadic Datum · Stratum · Spectrum are instances of a deeper triadic primitive. Promoted to core register as C85 (V6, 2026-06-10); this entry is the City-register alias. | narrative | provisional | 40% | tome-v | 1 |
| C48 | Reconstruct-Later Isomorphism (Bakhta-Response) The reconstruct-later threat model for behavioural data is structurally isomorphic to Bakhta's Threat Model 1 for attestation forgery — capability growth, not artifact change. City-register restatement: C60. | narrative | provisional | 65% | tome-v | — |
| C49 | Behavioural Mosca Inequality (Bakhta-Response) X_b + Y_b > Z_b binds for long-horizon behavioural evidence under current substrate architectures; V6 identifies Z_b with the moving ceiling's shelf life t*. City-register restatement: C61. | narrative | provisional | 70% | tome-v | — |
| C50 | Gating ≡ Compositional Defense (Bakhta-Response) PVM multiplicative gating and Bakhta's compositional defense (TEE + STARK + timestamp anchoring) are the same architectural pattern at different substrates. | narrative | provisional | 60% | tome-v | — |
| C51 | Max-Betweenness The lattice vertex of maximum betweenness centrality is the structurally privileged crossing point for trust paths (Tome III Act III.1). | narrative | provisional | 50% | tome-v | — |
| C52 | Aether = Quintessence = the Gap The Aether (medium of proof propagation) IS the quintessence IS the φ-gap — three names for the same architectural primitive (Tome III Act III.3). | narrative | provisional | 55% | tome-v | — |
| C53 | Mythological bnot-Pair Readings Every canonical bnot-pair on the lattice admits a mythological reading; classical pantheons encode dihedral structure pre-formally (Tome III Acts III.5–III.8). | narrative | observation | — | tome-v | — |
| C54 | Phi-Adjacency φ-adjacent vertices on the lattice carry adjacency through the gap rather than through the Hamming-1 edge structure (Tome III Act III.11). | narrative | observation | — | tome-v | 1 |
| C55 | Privacy as the Seventh Capital Privacy is a foundational capital category — the seventh, alongside the six classical capitals — normative-architectural (Tome III Act III.9). | narrative | provisional | 70% | tome-v | — |
| C56 | Caduceus as Pre-Formal Dual-Agent Symbol The caduceus (two serpents winding around a central staff without touching) carries the dihedral neg ⊥ bnot generator pair in classical iconography pre-formally — RENUMBERED from C50 in source Threshold chronicle. | narrative | provisional | 60% | tome-v | 1 |
| C57 | Staff-Mage Collapse · Held Open Whether what a Mage carries can itself be a Mage (e.g., a Hermes-class fitted staff achieving Mage-tier status) is held open. The architecture functions either way; Caducea fits Hermes-class staffs without requiring the collapse — RENUMBERED from C51. | narrative | observation | — | tome-v | 1 |
| C58 | Forge(t) ∥ Threshold Sibling Swordsman-Suppliers Vulcana's Forge(t) at V19 forges hand-weapons (blades); the Threshold District at V59 supplies agentic-weapons (Hermaion's herald-sentinels in red-aspect, watch-geese via the Familiars). Class-distinct sibling Swordsman-suppliers across districts — promoted v1.6.0 from ~65% to ~85% once Hermaion's red-aspect made the Staff Shop explicitly Swordsman-supplying via alexandrite archetype-modal architecture. | narrative | provisional | 85% | tome-v | 1 |
| C59 | Create-Format as Gateway to Mage-Tier A persona-bearing agentic-substrate (SOUL.md / Honcho user-modelling / learning-loop) carries Mage-grade properties at adoption time. Hermes is the first observable case. Whether the Mage-class collapse formally lands is held open via C57 — RENUMBERED from C49 in source Threshold chronicle to resolve same-day numbering conflict with Tomes I-III binding pass (which retains C49 = Bakhta-response · B). | narrative | provisional | 70% | tome-v | 1 |
| C60 | Reconstruct-Later Threat Model for Behavioural Data Behavioural data captured today is reconstructable into structured-PII-equivalent signal by future ML models. The threat is the future-reconstruction capability, not the present-data shape. Forces present-time privacy controls to assume future-decoder capability — RENUMBERED from C48 in v1.5.0 grimoire patch. Marked ALIAS of core C48 at the V6 register lock (one claim, two numbers, renumbering eddy of 2026-05-13). | narrative | provisional | 65% | tome-v | — |
| C61 | Behavioural Mosca Inequality Adaptation of the Mosca cryptography-vs-quantum inequality (Y > X + Z) to behavioural data: if the time behavioural signal must remain private (Y) exceeds the time decoder capability is bounded (X) plus the time data must be retained for utility (Z), the architecture has already lost. Operationalises the future-reconstruction risk into a planning bound — RENUMBERED from C49 in v1.5.0 grimoire patch. Marked ALIAS of core C49 at the V6 register lock (one claim, two numbers). | narrative | provisional | 70% | tome-v | — |
| C62 | Cross-Coalition Meta-Coalition Reading (RESERVED) Reserved slot from the v1.5.1 City Hall + AAIF patch anticipating a meta-coalition reading once a second kindred-coalition admission tests the relationship between coalitions in residence at /hall. Held open — no claim yet authored. | narrative | observation | — | tome-v | — |
| C63 | Attentional Workshop Register · Fourth Structural Class A fourth structural workshop class alongside producer (Forge · Etherchanting · etc.), gathering (City Hall · Logos Circle), and spawn-and-bind (the Threshold District). Attentional shops hold pre-episodic constellations in suspension until the bearer chooses release-direction; Pleione's astrolabe and the Φ-gap-at-epistemic-register are the canonical primitives. Population-of-one at v1.6.0 (Chart Shop). Promotion path: a second instance in the Navigation District. | narrative | provisional | 50% | tome-v | 1 |