Lattice Coherence

Category meta · Version 1.0

Equation term the 6-bit sovereignty lattice (P·D·M·C·Comp·V) underlying V(π,t)

The canonical encoding of the 6-dimension sovereignty lattice and the discipline for keeping every repo in the suite agreeing on it. Activates when assigning or auditing a vertex, when a persona's vertex number and dimension-meaning seem to disagree, when reconciling the grimoire / spellweb / tomes / docs before a pin, when a new mage is seated, or when a vertex reading (binary, dimensions, stratum, complement) needs verification. Carries the standing rule: meaning is the invariant; the vertex is DERIVED from meaning under the canonical encoding. Ships a runnable coherence linter (scripts/lattice_coherence_audit.py).

The single source of truth for the sovereignty-lattice encoding, and the discipline that keeps
the whole suite agreeing on it.

"Meaning is the invariant. The number is derived. Audit before you pin."

Spell: 🛡️16·8·4·2·💎 → derive → verify → 🔒

1. The canonical encoding (MODEL)

The lattice is Z/(2⁶)Z — 64 vertices, each a 6-bit reading of the six sovereignty dimensions.
The only canonical bit→dimension mapping is the Privacy-Value-Model definition itself
(privacy-value-model-v5.4.json sovereignty_dimensions + lattice-vertex.ts vertexToBits):

Read a vertex: active(n) = { dim : n & weight }. Examples (memorize these as checksums):

• V35 100011 = Protection + Computation + Value
• V38 100110 = Protection + Connection + Computation
• V25 011001 = Delegation + Memory + Value
• V41 101001 = Protection + Memory + Value
• V63 111111 = all six (the Sovereign Anchor)

The rejected encoding (CORPUS). specs/04-vertex-naming-audit.md and the older persona
placements used a corrupted order that mirrored the middle four (16↔Computation, 8↔Connection,
4↔Memory, 2↔Delegation). It agrees with MODEL only on the endpoints (Protection=32, Value=1), which
is why drift hid for so long. If you ever see V16 called "Computation" or V2 called "Delegation",
you are reading CORPUS — it is wrong.

2. The reidentification rule

A persona's dimension-set is its meaning (Memora is memory + the shield of value; Aletheia is
the bright medium = Protection+Connection+Computation; Lethe is forgetting = Delegation+Memory+Value).
Meaning is sourced from canon (the First-Person Spellbook tales, e.g. aletheia-and-lethe.md / Tale 31),
not from whatever number a doc happens to show.

The vertex is derived, never assumed: vertex = Σ weight(d) for d in meaning.

When a number and a meaning disagree, the number is wrong (the persona was misassigned under
CORPUS). Reseat the persona at the derived vertex; keep the myth. Worked precedent (2026-06-09):

Aletheia ⊥ Lethe stayed a complement pair (V25 ⊕ V38 = V63) — a swap, not a relocation. Preserve
invariants on every move: complement pairs (A ⊕ B = 63, A AND B = 0), the V63/V28 dual-agent
split, and — critically — deployed vertex numbers (the NFT 63-edition, City Key, /star,
/lattice) which must never silently shift; verify each move against them by hand.

3. The runnable — scripts/lattice_coherence_audit.py

A stdlib-only linter (no deps; Windows/macOS/Linux). Run it before every grimoire pin.

python scripts/lattice_coherence_audit.py            # audit suite roots
python scripts/lattice_coherence_audit.py --only vertex     # bit-order coherence
python scripts/lattice_coherence_audit.py --only persona    # persona↔seat reidentification
python scripts/lattice_coherence_audit.py --list            # registered checks
python scripts/lattice_coherence_audit.py --remap-personas  # dry-run a vertex move (grouped A–M)
python scripts/lattice_coherence_audit.py --remap-personas --apply <paths…>   # write (scoped)

Checks: vertex (binary↔number, dimension-reading, single-bit-label, version-noise-gated) ·
persona (canonical-seat reidentification, driven by the PERSONA_VERTICES registry) ·
conjecture (duplicate ids) · pin (version↔CID sightings). Exit 0 = coherent, 1 = drift.

The check set is a registry — extend it for any new significant encoding (gems-per-keeper,
sigils, ceremony grammars). The remapper is dry-run by default; never apply across pinned/historical
grimoire snapshots or keyed JSON by text substitution — those need structural edits.

4. Decision patterns

• Seating a new mage? State its meaning (dimension-set) → derive the vertex → check the seat is
  free → check complement/structural invariants → run the audit. Do not pick a number first.
• A doc shows a vertex reading you doubt? Recompute from §1. Trust the arithmetic, not the prose.
• Two sources disagree on a persona's dimensions? Go to the First-Person Spellbook tale (the
  root), not the City-of-Mages retelling — the retelling is where misassignment lives.
• About to pin the grimoire? Run --only vertex and --only persona to 0 first.
• Reconciling history? Keep deployed numbers; correct readings forward; record the move in a
  chronicle, not in the data descriptions (the data states canonical truth, plainly).

Authored 2026-06-09 from the lattice-encoding audit. The lattice has one reading now.

Provenance

Forkable skill page migrated from the agentprivacy skills repo (persona/agentprivacy-lattice-coherence, v1.0).
Source of truth: agentprivacy-skills-v5. Fork this page to materialize a local SKILL.md via fedwiki-to-skill.

origin: 0xagentprivacy · author: Mitchell Travers

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