the register view · head C89 · v6 shipped 2026-06-10

v6 lineage

one register, never renumbered · every claim wears its stance · every act lists what it instances

This is the permanent home for browsing the unified conjecture register — head C89, shipped with Privacy is Value · V6 on 2026-06-10. The bands below group the corpus the way the register groups it; numbers are never reassigned, and collisions resolve by alias. when any surface and the register disagree, the register wins. The full statements live in the register file and the formal specification on /model.

Beneath the bands sits the Tome V lineage detail — the narrative conjectures (C18 onward) as they were first inscribed, each wearing one of four honesty stances (canonical, provisional, observation, resonant), each listing the acts that instance or strengthen it. Where a stance here disagrees with the register, the register wins.

the four Gate G1 dispositions (how the numbering collisions were resolved, 2026-06-10)
  • C40 stays the Zcash dual-ledger conjecture; the Existence-Leak law is C81.
  • The pinned Horizon District keeps C67–C71 (grimoire v1.8.0 is content-addressed and does not move).
  • ARCH-1R/T renumbered to C72–C76; the integrity-gap family to C77–C80.
  • Renumbering eddies resolved as aliases: C46↔C32 · C60↔C48 · C61↔C49 · CM-C47↔C85.

§ the register · banded as the register bands it

every numbered claim, one line each · full statements in the register file

core · V1–V5.4 (C1–C17)

  • C1φ optimal S/M ratio (open)
  • C2A(τ) logarithmic (open)
  • C3challenged
  • C4resolved
  • C5resolved
  • C6P^1.5 ↔ 96/64 convergent 35%
  • C7three-axis multiplicative 30% · falsification frontier
  • C8BRAID reduces R_max 45%
  • C9holographic sufficiency 25%
  • C10O(1) shared-parent 20%
  • C11behavioural density 55%
  • C12hexagram resonance 60%
  • C13bilateral witness quantum-resistant 65%
  • C14Φ_agent ≅ D₂ₙ 75%
  • C15T_∫ ≅ UOR pipeline 65%
  • C16Betti invariants 25%
  • C17amnesia > policy 60% · quantitative via C83

V6 series · April 2026 (C18–C37)

  • C18-C21Lorenz dynamical ceiling 10-30%
  • C22-C25EML three ceilings 15-30%
  • C26-C29ARCH-1 canonical form 20-40%
  • C30-C33Bakhta half-life 45-60%
  • C34-C37wound and cap 50-60%

the bound collection (C38–C46)

  • C38bilateral ARCH-1 40%
  • C39kindred-blade 50%
  • C40Zcash dual-ledger 70%
  • C41observation
  • C42stake sybil resistance 50%
  • C43per-VRC viewing-key 60%
  • C44productive VRC 55%
  • C45four-chain 70%
  • C46alias of C32

post-V5.4 coherence (C47–C55)

  • C47ages progressively 50%
  • CM-C47alias of C85
  • C48reconstruct-later 65% (alias C60)
  • C49Behavioural Mosca 70% (alias C61)
  • C50gating ≡ compositional defense 60%
  • C51-C55occupied, never reassign

the city register (C56–C66)

  • C56caduceus 60%
  • C57held open
  • C58Forge(t) ∥ Threshold 85%
  • C59create-format gateway 70%
  • C60alias of C48
  • C61alias of C49
  • C62reserved
  • C63attentional register 50%
  • C64listener-discipline tier 50%
  • C65invitation-posture 50%
  • C66Key is a reading 55%

Horizon District · pinned v1.8.0 (C67–C71)

  • C67cryptographic Mosca
  • C68resource-estimate as durability signal
  • C69held-out gate
  • C70crypto-agility
  • C71Horizon Vertex V35

renumbered at Run 0 (C72–C80)

  • C72-C76ARCH-1R/T (was provisional C67-C71)
  • C77-C80integrity-gap convergence (was provisional C70-C73)

registered in the V6 runs (C81–C89)

  • C81Existence-Leak 70%
  • C82Moving Ceiling 65%
  • C83Compositional Leakage Amplification 55%
  • C84Existence-Leak Discount 50%
  • C85Triadic-Constraint Homology (ARCH-1 bridge) 40%
  • C86Obstruction-Theoretic Amnesia 30%
  • C87The Key Accumulates (IVC) 50%
  • C88Parity Cube 30%
  • C89Octahedral Gap 30%

§ the tome v lineage detail · stance grouping

the claims as first inscribed, with the acts that walked them

§ canonical

load-bearing · referenced as established

C22-C25

EML Three Ceilings

canonical

Three computational ceilings the CRAFT phase must respect.

acts that instance or strengthen

C26-C29

ARCH-1 Canonical Form

canonical

Σ := μS.(β ∨ Ω(S,S)) — the recursive μ-fixpoint admits multiple inhabitants.

acts that instance or strengthen

C30-C33

Bakhta Half-Life

canonical

Trust accumulates in arcs and decays with a half-life that begins at inscription.

acts that instance or strengthen

§ provisional

held with hands open · confidence stated

C38

Bilateral ARCH-1

~40%
provisional

Σ_{ij} := μS.(β_{ij} ∨ Ω(S_i, S_j)) — bilateral fold of the canonical form.

acts that instance or strengthen

  • Act 2Bilateral commission as the operational instance.
  • Act 7Strengthened by operational instancing.
C39

Kindred-Blade as Ecosystem Primitive

~50%
provisional

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.

acts that instance or strengthen

C40

Zcash Dual-Ledger Preservation

~70%
provisional

Zcash dual-ledger preserves the Cloak's Eight Properties across shielded and transparent registers.

acts that instance or strengthen

C42

Stake Economics Sybil Resistance

~50%
provisional

Stake economics generate Sybil resistance equivalent to or stronger than tier accumulation.

acts that instance or strengthen

  • Act 5Stake economics generate Sybil resistance.
C43

Per-VRC Viewing-Key Privacy

~60%
provisional

Per-VRC viewing-key disclosure produces strictly more privacy than uniform disclosure.

acts that instance or strengthen

C44

Productive Trust-Edge Formation

~55%
provisional

Trust edges form productively (not transactionally) when work is rendered as service.

acts that instance or strengthen

C45

Four-Chain Publication Preservation

~70%
provisional

Four-chain publication preserves reconstruction-resistance across artifact types.

acts that instance or strengthen

C46

Productive Trust-Edge Half-Life

~50%
provisional

Productive trust-edges have higher half-life than transactional ones.

acts that instance or strengthen

  • Act 4Productive trust survives the reveal because earned by inscription.
C47

Triadic-Constraint Homology (CM-C47 → C85)

~40%
provisional

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.

acts that instance or strengthen

  • Act 15New conjecture — three-axis Φ × triadic Datum·Stratum·Spectrum homology, anchored by Vagari's cross-frame travel and Vulcana's computational confinement.
C48

Reconstruct-Later Isomorphism (Bakhta-Response)

~65%
provisional

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.

C49

Behavioural Mosca Inequality (Bakhta-Response)

~70%
provisional

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.

C50

Gating ≡ Compositional Defense (Bakhta-Response)

~60%
provisional

PVM multiplicative gating and Bakhta's compositional defense (TEE + STARK + timestamp anchoring) are the same architectural pattern at different substrates.

C51

Max-Betweenness

~50%
provisional

The lattice vertex of maximum betweenness centrality is the structurally privileged crossing point for trust paths (Tome III Act III.1).

C52

Aether = Quintessence = the Gap

~55%
provisional

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).

C55

Privacy as the Seventh Capital

~70%
provisional

Privacy is a foundational capital category — the seventh, alongside the six classical capitals — normative-architectural (Tome III Act III.9).

C56

Caduceus as Pre-Formal Dual-Agent Symbol

~60%
provisional

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.

acts that instance or strengthen

C58

Forge(t) ∥ Threshold Sibling Swordsman-Suppliers

~85%
provisional

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.

acts that instance or strengthen

C59

Create-Format as Gateway to Mage-Tier

~70%
provisional

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).

acts that instance or strengthen

C60

Reconstruct-Later Threat Model for Behavioural Data

~65%
provisional

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).

C61

Behavioural Mosca Inequality

~70%
provisional

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).

C63

Attentional Workshop Register · Fourth Structural Class

~50%
provisional

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.

acts that instance or strengthen

§ observation

being watched as it accumulates

C41

61.8 / 38.2 Inscription Ratio

observation

The transparent/shielded inscription ratio appears to settle near the golden ratio as cultural emergence.

acts that instance or strengthen

C53

Mythological bnot-Pair Readings

observation

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).

C54

Phi-Adjacency

observation

φ-adjacent vertices on the lattice carry adjacency through the gap rather than through the Hamming-1 edge structure (Tome III Act III.11).

acts that instance or strengthen

C57

Staff-Mage Collapse · Held Open

observation

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.

acts that instance or strengthen

C62

Cross-Coalition Meta-Coalition Reading (RESERVED)

observation

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.

(⚔️⊥⿻⊥🧙)😊

The point of the discipline is not to hide what we don't yet know. It is to carry the unknowns visibly, alongside the things we are sure of.