docs(knowledge): helix-48 information-preservation lineage cross-link (32 768-bit Jina → 48-bit Σ₁ → HelixResidue tenant)#499
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The operator's framing — "helix-48 carries x32000 information preservation, with or without Morton cascade" — is grounded in canon, but the grounding fragments are spread across five committed artifacts (lance-graph PRs #156, #176, #210, #218 + post-#496 canonical_node.rs) plus OGAR DISCOVERY-MAP. The post-#496 substrate exposes HelixResidue as a ValueTenant but its doc-comment does not cite the lineage, so a fresh reader sees "helix golden-spiral Place/Residue (48 B)" without the "94% of Jina 1024-D" claim that justifies the tenant's reason for being. This doc compiles the cross-citations so the framing is referenceable from one place. Pure docs, append-only, no code touched. Section map: §0 The claim in one line — 48-bit Σ₁ SEED preserves 94% of Jina 1024-D (= 32,768 bits), and the 48-byte HelixResidue ValueTenant inherits the lineage. §1 The committed fragments — Σ tier table (PR #210), CAM-PQ 48-bit lineage (PRs #176 + ndarray PR-x12), 11/17 X-Trans quasi-irrational stride rationale (PR #156), maximally-irrational stride finding (PR #218), Morton cascade addressing (OGAR DISCOVERY-MAP D-CASCADE), and the post-#496 HelixResidue ValueTenant. §2 The unified framing — two scales of "helix-48" (48 BIT Σ₁ SEED vs 48 BYTE HelixResidue tenant); the "with or without Morton cascade" independence (carrier vs addressing); why 32,768 specifically (1024D × f32 = full Jina embedding bit count). §3 Cross-references — five PRs + canon anchors. §4 What this doc does NOT do — no code, no canon edits, no retroactive plan rewrites. Anchors the post-#496 HelixResidue tenant in its documented information- preservation lineage so future readers don't have to re-derive the 94% Jina claim from first principles. https://claude.ai/code/session_01VysoWJ6vsyg3wEGc5v7T5v
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| > *CAM fingerprint (48-bit) → COCA 4096 codebook → DeepNSM addressing* | ||
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| [`ndarray/.claude/knowledge/pr-x12-cam-pq-sigker-dn-tree-substrate-bindings.md:22`](../../../../ndarray/.claude/knowledge/pr-x12-cam-pq-sigker-dn-tree-substrate-bindings.md) (ndarray PR-x12): |
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This link, and the other ../../../../ndarray / ../../../../OGAR links below, escape the lance-graph checkout from .claude/knowledge and resolve to absolute local paths like /ndarray or /OGAR, which are not tracked in this repository and will be dead for readers unless they have the same sibling checkouts. Since this file's purpose is to provide citable cross-links, these should be stable URLs or committed in-repo references instead of local filesystem-relative paths.
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Retracted. The operator informed me that the 48-byte My PR documented it as a canonical "upscaled carrier inheriting the Σ₁ SEED lineage" in §2.1 and §2.3. That framing is wrong on its own terms: the 94 %-of-Jina claim from PR #210 is a property of the 48-bit Σ₁ SEED (Hamming-searchable, bit-packed, FAISS PQ6×8 = 48-bit fingerprints under bgz17 11/17 stride). It does not generalise to a 48-byte tenant that doesn't run the algorithm. By citing Failure mode: I treated presence-in-shipped-code as authority and built a framing on top without verifying the substrate. I should have searched the codebase for the actual Closing without merge. If you want a leaner doc that strictly grounds the 48-bit Σ₁ SEED claim (PR #210) with no reference to the retracted 48-byte tenant, say the word and I'll open a tight replacement. Otherwise this stays closed and the existing fragments in PRs #156, #176, #210, #218 remain the canonical home of the lineage. |
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Summary
The operator's framing — "helix-48 carries x32 000 information preservation, with or without Morton cascade" — is canonical, but the grounding fragments are spread across 5 committed artifacts + OGAR DISCOVERY-MAP. The post-#496 substrate exposes
HelixResidueas aValueTenantbut its doc-comment does not cite the lineage, so a fresh reader sees "helix golden-spiral Place/Residue (48 B)" without the "94 % of Jina 1024-D" claim that justifies the tenant's reason for being.This PR adds a single knowledge file that cross-links the fragments so the framing is referenceable from one place. Pure docs, append-only, no code touched.
+150 / -0over one file.The canonical claim, in one line
The 48-bit Σ₁ SEED preserves ~94 % of a Jina 1024-D embedding (32 768 bits), validated on SimLex-999. The post-#496
HelixResidueValueTenant scales this carrier up to 48 bytes (384 bits) for substrate use, inheriting the lineage. The information-preservation property is independent of Morton cascade addressing — with or without the cascade, the helix-48 carrier holds the 32 768-bit Jina equivalent.The committed fragments this doc cross-links
.claude/knowledge/linguistic-epiphanies-2026-04-19.md:299-312dfcf246b).claude/knowledge/encoding-ecosystem.md:91c1d44910).claude/BGZ17_ELEVEN_SEVENTEEN_RATIONALE.md79b46189).claude/knowledge/codec-findings-2026-04-20.md:744c4c0e7f)ndarray/.claude/knowledge/pr-x12-cam-pq-sigker-dn-tree-substrate-bindings.md:2264→256→1024→4096→16k→64k→256k = immaterialized Morton enumerationOGAR/docs/DISCOVERY-MAP.md:127(D-CASCADE)HelixResidue = 4 — helix golden-spiral Place/Residue (48 B)ValueTenantcrates/lance-graph-contract/src/canonical_node.rs:333-334All fragments are committed. Only the unified framing was missing as a single citable artifact.
The two scales of "helix-48"
HelixResidueValueTenantBoth are helix (golden-spiral place/residue, stride-4-over-17 walked by
CurveRuler). They differ only in budget; the substrate uses the byte-wide tenant; the bit-wide SEED is the compression floor validated against Jina.Why "with or without Morton cascade" is independent
The information-preservation claim is a property of the carrier (the 48-bit fingerprint under CAM-PQ 6×256 + bgz17 11/17 stride), not of the addressing (Morton cascade 64→256→1024…). The two compose orthogonally:
Why 32 768 specifically
Σ₃ FULL = 1024 dimensions × 32 bits per f32 = 32 768 bits— the full Jina embedding. The "x32 000" in the operator's framing is this number, rounded — it's the size of the embedding the 48-bit seed preserves 94 % of. Compression ratio is 32 768 / 48 ≈ 683× (Σ₃ → Σ₁) or 32 768 / 384 ≈ 85× (Σ₃ → 48-byte HelixResidue tenant), with higher fidelity for the wider tenant.What this PR does NOT do
NODE_ROW_STRIDE.canonical_node.rs'sHelixResiduedoc-comment in this PR — that's a follow-up if desired (would touch shipped code, so kept separate).Test plan
cargonot invoked.dfcf246b,c1d44910,79b46189,4c4c0e7f, post-Integrated cognitive planner reference map + ValueSchema presets + FULL POC default #496 at2e58e034).Anchors
HelixResidueValueTenant +ValueSchema::Compressedpreset.https://claude.ai/code/session_01VysoWJ6vsyg3wEGc5v7T5v
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