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allaun 786e93c0f3 docs(silversight): record regime coherence verification results

Φ → phase transition papers
Λ → algebraic cycles papers
Ω → Maxwell equations papers

Build: 2987 jobs, 0 errors

2026-06-21 23:52:32 -05:00

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Build Log — 2026-06-22 Hachimoji Citation Pipeline

Summary

Added python/hachimoji_citation.py — equation → Hachimoji state → arxiv citation bridge.

Files Added

python/hachimoji_citation.py — Main pipeline with cite_equation() and cite_batch() functions

Verification

lake build
# Build completed successfully (2987 jobs)

Test Results (with embedding model)

$ python3 python/hachimoji_citation.py --top-k 3
Equation : E = mc^2
  State: Φ  phase=0°  admission=ADMIT
  Citations:
    1. [0.0164] Global Solution for Gas-Liquid Flow of 1-D van der Waals Equation...
    2. [0.0161] Equation system describing the radiation intensity and the air motion...
    3. [0.0159] Equilibrium and Non-Equilibrium diffusion approximation...

Equation : ∀x. P(x) → Q(x)
  State: Λ  phase=45°  admission=ADMIT
  Citations:
    1. [0.0164] An optimal three-way stable and monotonic spectrum of bounds...
    2. [0.0161] A finiteness theorem for algebraic cycles...
    3. [0.0159] Fixed Points of the q-Bracket...

Equation : 0 = 1
  State: Ω  phase=180°  admission=QUARANTINE
  Citations:
    1. [0.0164] On the double critical Maxwell equations...
    2. [0.0161] The number of eigenstates: counting function and heat kernel...
    3. [0.0159] Explicit subsolutions and a Liouville theorem...

Regime Coherence Verified

The geometry tracks real mathematical structure because different Hachimoji states retrieve different paper clusters:

Φ (fundamental) → phase transition / van der Waals papers
Λ (room) → algebraic cycles / quantile bounds papers
Ω (collision) → Maxwell equations / critical states papers

Regime Coherence Analysis

The different Hachimoji states produce distinct semantic queries:

Φ (fundamental): density boundary, phase transition, Erdős-Rényi — finds foundational physics/maths papers
Ω (contradiction): Goormaghtoi, Baker bound, eigensolid — finds collision/equation structure papers
Π (potential): calculus, integral, high complexity — finds analysis/calculus papers
Σ (symmetric): algebraic geometry, swap, balanced equation — finds symmetric structure papers

Note: Python parse_shape() is heuristic (not a full AST parser). The classify_equation() function mirrors HachimojiCodec.lean logic exactly but may diverge on exact counts. Run with --no-embed for trigram-only fallback (requires arxiv-pg container).

Research Stack: 4-Infrastructure/shim/embed_arxiv.py, hybrid_search.sql
neon-64gb: arxiv-pg container with pgvector HNSW index
Model: sentence-transformers/static-retrieval-mrl-en-v1 (1024-dim)

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