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docs(v3): Hadamard-residual-ladder honourable mention next to the three flavours of 256 + Hambly–Lyons [S] anchor#700

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docs(v3): Hadamard-residual-ladder honourable mention next to the three flavours of 256 + Hambly–Lyons [S] anchor#700
AdaWorldAPI merged 4 commits into
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@AdaWorldAPI AdaWorldAPI commented Jul 16, 2026

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Summary

Operator-directed follow-up to #699 (branch restarted from main). Adds the index + residual fourth operational mode to the V3 substrate docs, next to the three flavours of 256:

  • le-contract.md §3 — new append-only "Honourable mention" subsection (the L1–L8 catalogue itself is untouched): bgz-tensor's AdaptiveRow (adaptive_codec.rs, verified against source) keeps the palette/CLAM centroid as the coarse deterministic PLACE and stores a Hadamard-rotated residual in a three-tier LFD split (corrected per codex P2, classify_rows_by_lfd): the hardest ~top-10% LFD rows escape to Passthrough (exact original stored — no index+residual representation, the codec's own refuse-to-force-the-mold tier), next ~20% → i8 residual, bottom ~70% → i4+i2 cascade. It is the continuous-field exit flat L4 cannot provide (geo-arc instance: 256 levels over ~1500 m relief ≈ 6 m elevation terraces; categorical surfaces like Signed360 normals stay flat L4). Explicitly NOT a ninth 12-byte layout: the ladder is out-of-row (same status as Signed360 in the 96-bit carving); in-row refinement remains the turbovec 6×4-bit nibble lane.
  • Formal anchor — already in-workspace on both sides (corrected mid-PR per operator pointer): Hambly–Lyons 2010 signature uniqueness ships as jc Pillar 11 (crates/jc/src/hambly_lyons.rs, feature hambly-lyonssigker; forward probe = Chen-identity tree-collapse, converse = triangle level-2 signed area, on signature_truncated not the known-buggy signature_kernel_pde) and ndarray src/hpc/pillar/signature.rs (B7: sig transform + sig-kernel, Gram PSD check, 1,000-Lévy-path certification probe). Only the ladder→signature mapping stays [S] ([FORMAL-SCAFFOLD] consult required for promotion); its probe builds on the existing Pillar-11 harnesses.
  • Board hygiene in the same arc — EPIPHANIES E-PALETTE-RESIDUAL-LADDER-1 prepended; LATEST_STATE v4 entry prepended.
  • CLAUDE.md correction — the crate table's stale "bgz-tensor (standalone, ~1,300 LOC, 0 deps)" row corrected: it path-deps ndarray + holograph (verified against crates/bgz-tensor/Cargo.toml).

Companion ndarray PR #244 mirrors both corrections into the merged §8 flavours block.

Review

  • codex P2 (Passthrough tier omitted from the residual-ladder description) — fixed in 67fb9c7, verified against adaptive_codec.rs:97-135.

Verification

  • All claims verified against source this session: adaptive_codec.rs (AdaptiveRow fields, hadamard_rotate, classify_rows_by_lfd 10/20/70 split), attention.rs (65,536-score / 128 KB table), Cargo.toml (deps), jc/src/hambly_lyons.rs + hpc/pillar/signature.rs (Pillar-11 implementations).
  • Board files are pure prepends; the §3 catalogue and all operator-locked text untouched.

🤖 Generated with Claude Code

https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki

…esidual ladder next to the three flavours of 256; Hambly-Lyons [S] anchor

Operator-directed. Adds to le-contract.md §3 (append-only subsection, no
change to the L1-L8 catalogue): the index+residual fourth operational
mode — bgz-tensor AdaptiveRow keeps the palette/CLAM centroid as the
deterministic PLACE and stores only a Hadamard-rotated residual (i8
outlier rows / i4+i2 cascade regular rows). It is the continuous-field
exit flat L4 cannot provide (geo-arc instance: 256 levels over ~1500 m
relief = ~6 m elevation terraces); categorical surfaces (Signed360
normals, narrow colour) stay flat L4. NOT a ninth 12-byte layout — the
ladder is out-of-row (Signed360 status); in-row refinement remains the
turbovec 6x4-bit nibble lane.

Formal anchor graded [S]: Hambly-Lyons 2010 (Annals of Math 171)
signature uniqueness — a bounded-variation path is determined by its
graded iterated-integral cascade up to tree-like equivalence; the
theorem-shaped version of the ladder's promise. Stays [S] until a
ladder->signature probe exists; [FORMAL-SCAFFOLD] consult required for
promotion.

Board hygiene in the same commit: EPIPHANIES E-PALETTE-RESIDUAL-LADDER-1
prepended; LATEST_STATE v4 entry prepended; CLAUDE.md's stale "bgz-tensor
0 deps" row corrected (it path-deps ndarray + holograph — verified
against crates/bgz-tensor/Cargo.toml).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki
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@AdaWorldAPI AdaWorldAPI marked this pull request as ready for review July 16, 2026 08:23
…ay hpc pillar B7; only the ladder->signature mapping stays [S]

Operator pointer: the signature theorem is not an external citation.
The theorem side ships in BOTH repos:
- jc Pillar 11 (crates/jc/src/hambly_lyons.rs, feature hambly-lyons ->
  sigker): forward probe = tree-equivalent excursion collapses to the
  identity signature via Chen's identity; converse probe = triangle's
  non-zero level-2 signed area; deliberately on signature_truncated,
  not the known-buggy signature_kernel_pde.
- ndarray src/hpc/pillar/signature.rs (B7): signature transform +
  Hambly-Lyons sig-kernel, Gram-matrix PSD check, certification probe
  over 1,000 Levy paths.

The honourable-mention text previously said the anchor was "unproven in
this workspace" — corrected: only the ladder-levels -> signature-levels
MAPPING for the residual cascade stays [S], and its probe can build on
the existing Pillar-11 harnesses. le-contract subsection, EPIPHANIES
entry, and LATEST_STATE entry updated consistently (all in-flight text
of this PR, not settled history).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki

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Comment thread .claude/v3/soa_layout/le-contract.md Outdated
Comment on lines +177 to +180
`AdaptiveRow { centroid_idx: u16, scale_bf16, scale2_bf16, … }` keeps the
palette/CLAM centroid as the coarse deterministic PLACE and stores only a
**Hadamard-rotated residual**, quantized i8 (outlier rows, ~top 30%) or as
an i4+i2 cascade (regular rows, ~bottom 70%). Index PLACES, residual

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P2 Badge Document the passthrough tier in the residual ladder

In the current crates/bgz-tensor/src/adaptive_codec.rs, classify_rows_by_lfd sends the top 10% LFD rows to RowPrecision::Passthrough, and those rows store the original vector in passthrough with no centroid/residual payload; only the next 20% are i8 and the bottom 70% are i4+i2. Describing all outlier rows as the ~top 30% i8 residual tier makes the new contract text false for the hardest rows and can mislead consumers that rely on this section to decide whether every row has an index+residual representation.

Useful? React with 👍 / 👎.

claude added 2 commits July 16, 2026 08:26
…% / i8 20% / i4+i2 70% (codex P2)

classify_rows_by_lfd (adaptive_codec.rs, verified): the hardest ~top-10%
LFD rows go to RowPrecision::Passthrough — the exact original vector is
stored with NO centroid/residual representation — then ~20% i8 residual,
~70% i4+i2 cascade. The earlier "~top 30% -> i8" wording was false for
the hardest rows; consumers must not assume every row has an
index+residual representation. le-contract subsection + EPIPHANIES entry
aligned (both in-flight text of this PR).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki
…/helix; TD-BGZ-TENSOR-PRE-LANE-REVIEW queued

Operator nudge: the adaptive codec's mechanisms (Hadamard rotation,
bespoke i4+i2 cascade, Passthrough escape) were engineered before
today's lane inventory existed. The honourable mention records what
SHIPS, not a certification of current best practice.

- TECH_DEBT: new TD-BGZ-TENSOR-PRE-LANE-REVIEW entry — engineering
  follow-up review scoped: (a) i4+i2 cascade vs turbovec Lloyd-Max +
  NativeLut; (b) Hadamard vs the PolarQuant rotation-vs-error-correction
  findings; (c) residual/location coding vs helix ResidueEdge/Signed360
  + CurveRuler; (d) Passthrough routing to an existing full-precision
  lane. Outcomes: consume-the-lane / demarcate / retire.
- le-contract honourable mention + EPIPHANIES entry carry the caveat and
  the TD pointer (in-flight text of this PR).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki
@AdaWorldAPI AdaWorldAPI merged commit 067fbc3 into main Jul 16, 2026
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