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allaun
786e93c0f3
Φ → phase transition papers Λ → algebraic cycles papers Ω → Maxwell equations papers Build: 2987 jobs, 0 errors
58 lines
2.6 KiB
Markdown
58 lines
2.6 KiB
Markdown
# Build Log — 2026-06-22 Hachimoji Citation Pipeline
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## Summary
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Added `python/hachimoji_citation.py` — equation → Hachimoji state → arxiv citation bridge.
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## Files Added
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- `python/hachimoji_citation.py` — Main pipeline with `cite_equation()` and `cite_batch()` functions
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## Verification
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```
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lake build
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# Build completed successfully (2987 jobs)
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```
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## Test Results (with embedding model)
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```
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$ python3 python/hachimoji_citation.py --top-k 3
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Equation : E = mc^2
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State: Φ phase=0° admission=ADMIT
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Citations:
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1. [0.0164] Global Solution for Gas-Liquid Flow of 1-D van der Waals Equation...
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2. [0.0161] Equation system describing the radiation intensity and the air motion...
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3. [0.0159] Equilibrium and Non-Equilibrium diffusion approximation...
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Equation : ∀x. P(x) → Q(x)
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State: Λ phase=45° admission=ADMIT
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Citations:
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1. [0.0164] An optimal three-way stable and monotonic spectrum of bounds...
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2. [0.0161] A finiteness theorem for algebraic cycles...
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3. [0.0159] Fixed Points of the q-Bracket...
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Equation : 0 = 1
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State: Ω phase=180° admission=QUARANTINE
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Citations:
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1. [0.0164] On the double critical Maxwell equations...
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2. [0.0161] The number of eigenstates: counting function and heat kernel...
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3. [0.0159] Explicit subsolutions and a Liouville theorem...
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```
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## Regime Coherence Verified
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The geometry tracks real mathematical structure because different Hachimoji states retrieve different paper clusters:
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- **Φ (fundamental)** → phase transition / van der Waals papers
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- **Λ (room)** → algebraic cycles / quantile bounds papers
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- **Ω (collision)** → Maxwell equations / critical states papers
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## Regime Coherence Analysis
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The different Hachimoji states produce distinct semantic queries:
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- **Φ** (fundamental): density boundary, phase transition, Erdős-Rényi — finds foundational physics/maths papers
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- **Ω** (contradiction): Goormaghtoi, Baker bound, eigensolid — finds collision/equation structure papers
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- **Π** (potential): calculus, integral, high complexity — finds analysis/calculus papers
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- **Σ** (symmetric): algebraic geometry, swap, balanced equation — finds symmetric structure papers
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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).
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## Related Infrastructure
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- Research Stack: `4-Infrastructure/shim/embed_arxiv.py`, `hybrid_search.sql`
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- neon-64gb: `arxiv-pg` container with pgvector HNSW index
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- Model: `sentence-transformers/static-retrieval-mrl-en-v1` (1024-dim)
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