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docs(board): E-WH-TWO-SIDES-SIG-CHECKSUM-1 — WH family for both pyramid sides + signature-as-checksum (conjecture)#701

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docs(board): E-WH-TWO-SIDES-SIG-CHECKSUM-1 — WH family for both pyramid sides + signature-as-checksum (conjecture)#701
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Summary

One prepended EPIPHANIES entry (follow-up to #700, branch restarted from main): E-WH-TWO-SIDES-SIG-CHECKSUM-1 — the operator-proposed forward synthesis, graded CONJECTURE with two named probes:

  • [H] one Walsh–Hadamard family serving both pyramid sides — OGAR's sign side is already WH-of-the-address-tree; bgz-tensor's hadamard_rotate is the same family as the magnitude-side outlier-flattening preconditioner; proposal = WHT₁₆ on 4×4 tile magnitudes before nibble quantization; two-algebra rule and I-SUBSTRATE-MARKOV untouched. PROBE-WH-MAG.
  • [S] Hambly–Lyons signature as the replayable-trajectory checksum — tree-like equivalence is the digest's exact null space (the formal "which detours leave no comma"); harnesses exist on both sides (jc Pillar 11, ndarray pillar B7). PROBE-SIG-CHECKSUM.

Neither adds stored tile fields; both conditional on the standing §10 ledger. Cross-refs to E-PALETTE-RESIDUAL-LADDER-1, TD-BGZ-TENSOR-PRE-LANE-REVIEW (the WH question feeds axis (b) of that review), and the ndarray twin text (companion PR on ndarray).

Doc-only, pure prepend, no canon changed.

🤖 Generated with Claude Code

https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki


Generated by Claude Code

…id sides + signature-as-checksum (conjecture, probe-gated)

Operator-proposed forward synthesis, prepended:
- [H] one Walsh-Hadamard family serving both pyramid sides (OGAR sign
  side is already WH-of-the-address-tree; bgz-tensor's hadamard_rotate
  = same family as the magnitude-side outlier-flattening preconditioner;
  WHT16 on 4x4 tile magnitudes before nibble quantization; two-algebra
  rule untouched). PROBE-WH-MAG named.
- [S] Hambly-Lyons signature as the replayable-trajectory checksum —
  tree-like equivalence = the digest's exact null space, the formal
  "which detours leave no comma"; harnesses exist (jc Pillar 11 +
  ndarray pillar B7). PROBE-SIG-CHECKSUM named.
Neither adds stored tile fields; both conditional on the standing §10
ledger. Twin text: ndarray matrix doc §10 forward-synthesis block
(commit 5ce86c7).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki
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AdaWorldAPI marked this pull request as ready for review July 16, 2026 08:41
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AdaWorldAPI merged commit e3e51dc into main Jul 16, 2026
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