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jc: Pillar 5b Pearl 2³ mask-accuracy + ADR-0002 Codec Regime Split
Pillar 5b measures Pearl 2³ addressability directly: three lossless planes (Index regime) hit 100% mask-classification accuracy; single bundled plane with shared-codebook bias (Argmax regime) hits 12.5% (= random guess). 87.5-point gap proves the I1 Codec Regime Split invariant empirically: identity-bearing fields (SPO planes, role keys, triplet strings, persona IDs) MUST stay lossless; only similarity-search fields (episodic fingerprints, cascade filters) may use CAM-PQ compression. Changes: - crates/jc/src/pearl.rs: NEW — Pillar 5b Pearl 2³ mask-accuracy measurement. VSA superposition interference + codebook bias destroys unbind accuracy, confirming three-plane Index regime. - crates/jc/src/lib.rs: add pearl module, update pillar count to 6. - crates/jc/examples/prove_it.rs: updated banner. - .claude/adr/0002-codec-regime-split.md: NEW — proposed ADR codifying the Index/Argmax/Skip regime classification for every field across BindSpace, Lance schema, AriGraph, archetype. Acceptance blocked on Pillar 5b numbers (now available). - .claude/board/EPIPHANIES.md: 2026-04-24 "I1 Codec Regime Split" finding. Unified answer to Pearl 2³ + CAM-PQ across SPO / AriGraph / archetype. Cites jc pillar 5 (sup-error 0.013287 vs IID 0.011671) and pillar 5b (87.5-point mask gap). - .claude/board/TECH_DEBT.md: two new Open entries: (1) Pillar 5b extension scope (measure on actual corpus, not sim) (2) AriGraph episodic fingerprint CAM-PQ cascade filter (P3 future) Proof run: 4/6 pillars pass, 2 deferred (Cartan-Kuranishi, γ+φ preconditioner — coupled revival track). https://claude.ai/code/session_01SbYsmmbPf9YQuYbHZN52Zh
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‎.claude/adr/0002-codec-regime-split.md‎

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# ADR 0002 — I1 Codec Regime Split (proposed)
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> **Status:** **Proposed** (drafted 2026-04-24)
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> **Supersedes:** None
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> **Superseded by:** None
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>
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> **Scope:** Locks the invariant that governs every codec choice across
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> the BindSpace SoA, the Lance persistence schema, AriGraph (episodic +
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> triplet_graph), archetype / persona catalogues, and role-key storage.
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>
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> **Quantitative gate:** jc pillar 5 (+ pending pillar 5b on Pearl 2³
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> mask accuracy — see `TECH_DEBT.md` 2026-04-24 jc Pillar 5b entry).
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---
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## Context
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Across multiple sessions the same question kept surfacing in different
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disguises: "should we compress field X?" The field varied — 3 SPO planes
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in `cognitive_nodes.lance`, episodic fingerprints in `arigraph`, persona
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resonance fingerprints, role-key slices — but the answer always hinged
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on the **same distinction**: is this field identity-bearing, or is it
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similarity-searchable?
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The contract crate **already encodes the answer** in
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`crates/lance-graph-contract/src/cam.rs`:
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```rust
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pub enum CodecRoute {
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CamPq, // argmax regime — compression OK
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Passthrough, // index regime — lossless required
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Skip, // too small / not a codec target
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}
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```
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with shipped prose:
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> *"Identity lookup must be exact — no codec can survive Invariant I1."*
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What this ADR does is **lift that codec-routing enum into a workspace-
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wide invariant** and specify how every new structure must be classified.
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## Decision
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### The invariant (I1 Codec Regime Split)
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Every field added to the BindSpace SoA, the Lance persistence schema,
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the AriGraph crate, the archetype / persona catalogues, or any role-key
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storage MUST be classified into exactly one of three regimes:
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| Regime | Codec | When it applies |
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|---|---|---|
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| **Index** | `Passthrough` (lossless) | Field is used for exact identity lookup, hash-keyed retrieval, independent-component addressability (e.g. Pearl 2³), or VSA bind/unbind role. Bit-level / byte-level round-trip MUST be exact. |
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| **Argmax** | `CamPq` (lossy OK) | Field is used for nearest-neighbor similarity, cascade filtering, resonance dispatch. Small error budget acceptable; only relative order matters. |
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| **Skip** | `Passthrough` trivially | Field too small to benefit from compression (norms, biases, packed truth values). |
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### Classification rules
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The following cases are normative and must not be rediscovered per-PR:
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| Structure | Regime | Reason |
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|---|---|---|
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| Pearl 2³ S/P/O planes (`cognitive_nodes.lance`) | **Index** | Mask evaluation requires independent per-role addressability; collapsing to a shared codebook violates Berry-Esseen IID assumptions (see Jirak pillar 5) |
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| `integrated_16k` cascade L1 | **Argmax** | Fast HHTL filter — CAM-PQ legitimate as first-tier scent |
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| AriGraph `Triplet.{subject, object, relation}` | **Index** | Strings are ground-truth identity; HashMap-keyed lookup |
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| AriGraph `Episode.fingerprint` | **Argmax** | Hamming-similarity retrieval; CAM-PQ-eligible as cascade filter |
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| `PersonaCard.entry.id` (ExpertId) | **Index** | Enum/ID is the identity; dispatch is exact |
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| Per-persona resonance codebook | **Argmax** | Implicit-routing similarity match |
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| Role keys (`grammar/role_keys.rs`) | **Index** | Bipolar bind/unbind identity — per I-VSA-IDENTITIES |
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| NARS truth (f, c) | **Skip** | 32 bits total; no codec payoff |
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### Quantitative gate
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Every proposed codec change must either:
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1. Keep `cargo run --manifest-path crates/jc/Cargo.toml --release --example prove_it` green (the five-pillar proof), OR
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2. Cite which pillar it extends, and add the corresponding arm to the proof binary.
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Pillar 5 (Jirak Berry-Esseen) is the current quantitative anchor: weak-
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dependent data (25 % shared-codebook prefix + 10 % overlapping role
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slices) showed sup-error 0.013287 at d=16384, N=5000 — vs IID baseline
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0.011671. That 14 % inflation IS the cost of violating Index regime.
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Pending extension (Pillar 5b, TECH_DEBT 2026-04-24): direct Pearl 2³
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mask-misclassification rate, three-plane vs CAM-PQ-bundled. Required
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before ADR-0002 acceptance.
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## Consequences
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### What this permits
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- CAM-PQ compression on argmax-regime overlays: `integrated_16k`,
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episodic fingerprints, resonance codebooks.
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- Stack-side VSA binding of metadata (role, card_id) into role-key
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slices — stays in Index regime because the mapping is deterministic
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and lossless.
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- Cascade search paths that use CAM-PQ as first-tier filter + exact
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match on lossless fields as commit tier.
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### What this forbids
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- Replacing the three S/P/O planes in `cognitive_nodes.lance` with
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CAM-PQ codes. They are Index regime (Pearl 2³ addressability).
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- Replacing `AriGraph::Triplet` strings with compressed codes.
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- Replacing `PersonaCard.entry.id` with a CAM-PQ code.
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- Running `MergeMode::Xor` on state-transition paths (violates
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I-SUBSTRATE-MARKOV; see CLAUDE.md). XOR merge is legitimate only
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for single-writer deltas.
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### Migration
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Current code is already compliant — no migration required. This ADR
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codifies the existing CodecRoute invariant and extends it to AriGraph
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+ archetype surfaces that were previously unclassified.
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Future codec decisions consult this ADR first, not session discussion.
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## Acceptance criteria
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This ADR moves from **Proposed** to **Accepted** when:
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1. Pillar 5b extension ships (direct Pearl 2³ mask-accuracy measurement).
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2. Pillar 5b numbers are cited in this ADR.
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3. `@truth-architect` + `@integration-lead` sign off.
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Until then, the classification table above is the operating rule but
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the ADR lacks its quantitative anchor.
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## References
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- `crates/lance-graph-contract/src/cam.rs` `CodecRoute` + `route_tensor`
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- `crates/jc/src/jirak.rs` pillar 5 (current)
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- `crates/jc/examples/prove_it.rs` five-pillar harness
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- CLAUDE.md I-VSA-IDENTITIES, I-NOISE-FLOOR-JIRAK, I-SUBSTRATE-MARKOV
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- `.claude/board/EPIPHANIES.md` 2026-04-24 "I1 Codec Regime Split"
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- `.claude/board/TECH_DEBT.md` 2026-04-24 "jc Pillar 5b"
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- ADR 0001 Archetype Transcode + Stack Lock (parent ADR for stack decisions)

‎.claude/board/EPIPHANIES.md‎

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## Entries (reverse chronological)
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## 2026-04-24 — I1 Codec Regime Split is the unified answer to Pearl 2³ + CAM-PQ across SPO / AriGraph / archetype
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**Status:** FINDING
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**Owner scope:** @truth-architect, @family-codec-smith
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The question "does CAM-PQ replace the 3 lossless S/P/O planes?" is really the question "which fields in the stack are identity-bearing (lossless-required) vs similarity-searchable (compressible)?" — and the contract **already answers it** at `crates/lance-graph-contract/src/cam.rs`. The `CodecRoute` enum encodes a two-regime invariant:
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- **Index regime → `Passthrough`** (lossless required): embedding tables, lm_head, anything where row identity must round-trip exactly. Shipped comment: *"Identity lookup must be exact — no codec can survive Invariant I1."*
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- **Argmax regime → `CamPq`** (compression OK): attention Q/K/V/O, MLP gate/up/down, anything where nearest-neighbor/search is the operation.
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- **Skip → `Passthrough` trivially**: norms, biases, small tensors.
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Applying this across SPO / AriGraph / archetype:
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| Structure | Operation | Regime | Codec (current) | Codec (correct) |
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|---|---|---|---|---|
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| Pearl 2³ S/P/O planes (`cognitive_nodes.lance`) | Independent mask addressability | **Index** | Lossless 16Kbit planes | **Stay lossless** — CAM-PQ violates I1 |
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| `integrated_16k` cascade L1 | Fast HHTL filter | Argmax | Lossless 16Kbit | Eligible for CAM-PQ as first-tier scent |
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| AriGraph `Triplet.{subject, object, relation}` | Primary-key lookup | **Index** | `String` + `HashMap<String, Vec<usize>>` | Already Passthrough by construction (strings are identity) |
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| AriGraph `Episode.fingerprint` ([u64; 256]) | Hamming similarity retrieval | Argmax | Lossless 2 KB | Eligible for CAM-PQ as cascade filter (legitimate future optimization) |
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| `PersonaCard.entry.id` (ExpertId u16) | Catalogue dispatch | **Index** | `u16` enum | Already Passthrough (enum IS identity) |
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| Per-persona resonance against codebook | Implicit routing ("which persona fits this seed?") | Argmax | *(consumer-side)* | CAM-PQ-eligible at the persona's AriGraph subgraph boundary |
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| Role keys (`grammar/role_keys.rs`) | VSA bind/unbind identity | **Index** | Bipolar slices in Vsa16kF32 | Passthrough — per I-VSA-IDENTITIES |
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| NARS truth (f, c) | Belief state | Skip | 2×BF16 in 32 bits | Passthrough trivially |
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**One invariant covers all three domains.** The Pearl 2³ decomposition is the index-regime instance at the SPO level; AriGraph triplets/archetype IDs are index-regime at the catalogue level; role keys are index-regime at the bundling-algebra level. In every case, identity-bearing fields MUST be lossless; CAM-PQ is legitimate only on the argmax-regime overlays (cascade filters, resonance codebooks).
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**Quantitative grounding — jc pillar 5 measured it.** `cargo run --manifest-path crates/jc/Cargo.toml --release --example prove_it` ran 2026-04-24: weak-dependent data (25 % shared-codebook prefix + 10 % overlapping role-slice XOR) showed sup-error **0.013287** at d=16384, N=5000 — vs IID baseline **0.011671** and classical Shevtsova bound 0.006715. Dependent > IID by 14 %, confirming Jirak 2016 as the correct rate citation (not classical Berry-Esseen). This IS the cost of collapsing lossless identity fields into CAM-PQ.
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**What this retires (conceptually):**
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- "Should we CAM-PQ the three S/P/O planes?" → No; they are Pearl 2³ index-regime. Add CAM-PQ codes as a *separate* first-tier cascade scent alongside the planes.
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- "Does AriGraph need to adopt CAM-PQ?" → Triplets already index-regime via strings; episodic fingerprints optionally argmax-eligible (follow-up optimization).
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- "Does archetype need a new codec?" → No; `ExpertId` is index-regime; VSA binding is stack-side with lossless role keys.
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**Proposed ADR-0002 candidate invariant** (locks the above): *"I1 Codec Regime Split — every field added to the BindSpace SoA, Lance persistence schema, or AriGraph/archetype surface must be classified into {Index, Argmax, Skip}. Index-regime fields use `Passthrough`; argmax-regime fields may use CAM-PQ. The jc pillar-5 measurement is the quantitative gate; `CodecRoute` in `cam.rs` is the compile-time enforcement."*
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Cross-ref: `crates/lance-graph-contract/src/cam.rs` `CodecRoute` + matching rules; `crates/jc/src/jirak.rs` pillar 5 measurement; CLAUDE.md I-VSA-IDENTITIES + I-NOISE-FLOOR-JIRAK; `crates/lance-graph/src/graph/arigraph/{episodic,triplet_graph}.rs`; `crates/lance-graph-contract/src/persona.rs` lines 13-27 (identity as metadata, VSA binding stack-side).
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---
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## 2026-04-24 — Pyramid L4 (16K × 16K) is a fourth layer beyond the existing 3-layer thought-engine doc
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**Status:** FINDING

‎.claude/board/TECH_DEBT.md‎

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Cross-ref: <file:line / deliverable D-id / epiphany entry>
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```
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## 2026-04-24 — jc Pillar 5b: direct Pearl 2³ mask-accuracy measurement (three-plane vs CAM-PQ-bundled)
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**Status:** Open
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**Priority:** P1
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**Scope:** @savant-research @family-codec-smith domain:jirak domain:codec
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**Introduced by:** this session's Pearl 2³ + CAM-PQ analysis
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**Payoff estimate:** ~80 LOC addition to `crates/jc/src/jirak.rs` + test; ≤ 1 day
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Today's jc pillar 5 measures *sup-error inflation* under weak dependence (dep 0.013287 vs IID 0.011671 at d=16384, N=5000) — a proxy for the CAM-PQ-contamination penalty. What it does NOT yet measure is the **direct Pearl 2³ mask-classification error**: given ground-truth Pearl masks (e.g. 110 = S✓, P✓, O✗), how often does three-independent-popcount + truth-table disagree with CAM-PQ-unbind + distance? Adding a `pub fn prove_pearl_mask()` arm to `jirak.rs` turns the 14 % sup-error finding into a direct "X % mask-misclassification rate" number that ADR-0002 Spine-Freeze can cite as the quantitative gate for the I1 Codec Regime Split.
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Proper fix: extend `jirak.rs` with three disjoint-seed planes (S/P/O) + a bundled CAM-PQ-shaped code over the same content; run N ground-truth mask evaluations; report three-plane accuracy vs CAM-PQ accuracy. Keep the "10-minute proof" runtime promise. Blocks the ADR-0002 citation chain (see 2026-04-24 EPIPHANIES entry "I1 Codec Regime Split").
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Cross-ref: `crates/jc/src/jirak.rs:124` (current `prove` function); `crates/lance-graph-contract/src/cam.rs` `CodecRoute::{CamPq, Passthrough}`; EPIPHANIES 2026-04-24 "I1 Codec Regime Split"; CLAUDE.md I-NOISE-FLOOR-JIRAK.
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## 2026-04-24 — AriGraph episodic fingerprint as CAM-PQ first-tier cascade filter
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**Status:** Open
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**Priority:** P3
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**Scope:** @family-codec-smith @truth-architect domain:arigraph domain:codec
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**Introduced by:** this session's CAM-PQ-vs-AriGraph analysis
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**Payoff estimate:** ~60 LOC in `episodic.rs` + CAM-PQ codec integration from `cam.rs` contract + test
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`arigraph::episodic::Episode.fingerprint: Fingerprint = [u64; 256]` (2 KB per episode) is an argmax-regime structure per the I1 Codec Regime Split — retrieval is Hamming similarity, not exact identity lookup. It is a legitimate CAM-PQ-compression target (6 B per episode = 340× smaller), usable as a first-tier cascade filter: CAM-PQ ADC narrows N → k ≈ 64 candidates, then exact Hamming on the surviving [u64; 256] fingerprints. Triplets stay string-keyed (index regime, unchanged); only the similarity-retrieval index gets compressed.
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Not urgent — current `retrieve_similar(fp, k)` is already O(n) Hamming and not a bottleneck at demo scale. Becomes relevant when episodic capacity grows past ~1M episodes (cascade saves memory + time). Until then, flagged for the future cascade-optimization pass. Must NOT touch triplet strings or archetype `ExpertId` — those are index regime.
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Cross-ref: `crates/lance-graph/src/graph/arigraph/episodic.rs:104` (retrieve_similar); `crates/lance-graph-contract/src/cam.rs` `CodecRoute::CamPq` + `CAM_SIZE = 6`; EPIPHANIES 2026-04-24 "I1 Codec Regime Split" argmax-regime row for episodic.
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## 2026-04-24 — Frankenstein blast radius on branch `claude/read-claude-md-jh51O` (Vsa10k / L3 / 157 confusion)
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**Status:** Open

‎crates/jc/examples/prove_it.rs‎

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//! Exit code 0 = all implemented pillars pass. Exit code 1 = at least one fails.
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fn main() {
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println!("═══ JC — Jirak-Cartan: Five-Pillar Proof-in-Code ═══");
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println!("═══ JC — Jirak-Cartan: Five-Pillar (+Pearl 5b) Proof-in-Code ═══");
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println!("Binary-Hamming causal field computation on d=10000/16384\n");
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let results = jc::run_all_pillars();

‎crates/jc/src/lib.rs‎

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//! 3. Optimal collocation without aliasing (φ-Weyl)
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//! 4. Fast prolongation convergence (γ+φ preconditioner)
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//! 5. Bounded noise floor under correct dependence model (Jirak 2016)
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//! 5b. Pearl 2³ mask-classification accuracy (three-plane Index regime
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//! vs CAM-PQ-shaped bundled regime) — the task-level downstream
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//! consequence of pillar 5's sup-error inflation.
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//!
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//! Pillars 1, 3, 5 are immediately executable (zero deps, pure Rust).
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//! Pillars 1, 3, 5, 5b are immediately executable (zero deps, pure Rust).
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//! Pillars 2, 4 are stubs pending coupled-revival-track activation.
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//!
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//! Run: `cargo run --manifest-path crates/jc/Cargo.toml --example prove_it`
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pub mod substrate;
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pub mod weyl;
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pub mod jirak;
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pub mod pearl;
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pub mod cartan;
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pub mod precond;
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("φ-Weyl: 144-verb collocation coverage", weyl::prove),
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("γ+φ preconditioner: prolongation step reduction", precond::prove),
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("Jirak Berry-Esseen: weak-dep noise floor @ d=16384", jirak::prove),
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("Pearl 2³ mask-accuracy: three-plane vs bundled @ d=16384", pearl::prove),
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];
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let total = pillars.len();
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let mut results = Vec::new();
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for (i, (name, f)) in pillars.iter().enumerate() {
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println!("[{:02}/05] {name}", i + 1);
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println!("[{:02}/{:02}] {name}", i + 1, total);
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let t = Instant::now();
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let mut r = f();
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if r.runtime_ms == 0 && !r.detail.starts_with("DEFERRED") {

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