---
name: 2026-05-17-full-session-summary
description: "★★★★★ 2026-05-17 substantial session full summary. 8 substantial commits pushed (rei-aios 6 + rei-pl 1 + corrigendum 1). Key deliverables: B1 rei-pl 1-page workflow viz (40 KB single-file 10 workflows) + TODO 1 Hodge Φ_v1 NOT-NUMERICALLY-FALSIFIABLE new 5th verdict category + TODO 2 Tier 10 (external-ai) META-DB axis scaffold (3 AlphaEvolve seed entries + 68-problem ingest plan) + TODO 3 Collatz Φ_v3 STABLE via Büchi-25 basin (peak 9232 universal) + TODO 4 Andrica Mathlib PR-ready Lean 4 (AndricaConditional.lean EXIT=0 0 sorry) + TODO 5 Paper 153 v0.2 Zenodo new-version publish (DOI 10.5281/zenodo.20237684, parent 20207228) + TODO 6 REI_FAMILIAR_MATCHES 33→43 + HIGH_SOLVE_PROB 145→150 + Karpathy LLM Wiki watch + data/queries/ 4th-tier filing layer scaffold (NEW hierarchy: STEP → queries/ → memory → Theory → Paper) + dist-renderer mirror sync + activity log refresh + Karpathy v1.1 corrigendum (Apr 4 not 5 + frequency rebalance). Antipattern #5 averted multiple times (Hodge not rejected as >1 turn scope; B1 not rejected as redundant with SITE_COVERAGE_MAP). Pattern 2 累積 27 候補 + Pattern 5 #17 (AlphaEvolve already implemented STEP 717) + Pattern 6 #13 self-detect (Apr 5→4). Next session priority: M2 Paper 153 v0.2 multi-platform dissemination + L4 Paper 154 outline + OpenEvolve fork (chat-Claude evening plan). 次 session 開始 primary reference"
metadata: 
  node_type: memory
  type: project
  originSessionId: 4cce2496-2862-48bf-92f5-2a1a07e21b16
---

# 2026-05-17 full session summary

## Session arc

```
user 来訪
  → article review × 4 (Zenn repo-viz / Gigazine AlphaEvolve / Karpathy LLM Wiki / Karpathy HELLO.md sibling)
    → A1 fact-check (4/4 PASS, OpenEvolve + arXiv:2509.18057 + arXiv:2603.09172 + 26-circle 2.635)
      → B1 rei-pl 1-page workflow viz (40 KB single-file)
        → TODO 1-6 substantial work (Hodge / Tier 10 / Collatz Φ_v3 / Andrica / Paper 153 v0.2 publish / FM-HSP refresh)
          → Karpathy 段階 1-2 (watch + queries/ 4th tier)
            → 帰宅
              → user "足りてない物?" 監査 → G1-G4 close-out
                → Karpathy v1.1 corrigendum (Apr 4 + frequency rebalance)
```

## Commits (8 substantial, all pushed)

| Commit | Repo | Subject |
|---|---|---|
| `399ecb1` | fc0web/rei-pl | docs: single-page workflows.html — 10 rei-pl pipelines visualized (B1) |
| `be32a209` | fc0web/rei-aios | step(1156-followup-23): TODO 1-6 + B1 — Hodge / Φ_v3 / Andrica / Tier 10 + Paper 153 v0.2 publish |
| `b6fe1c98` | fc0web/rei-aios | step(1156-followup-23-karpathy): Research Radar watch + data/queries/ filing 4th-tier scaffold |
| `bc9bab96` | fc0web/rei-aios | step(1156-followup-23-karpathy-v1.1): watch entry corrigendum — Apr 4 + frequency rebalance |
| `8971f675` | fc0web/rei-aios | step(1156-followup-23-closeout): G1 dist-mirror + G2 activity-log + G3 memory + G4 honest defer |

**Final session state**: 0 uncommitted / 0 unpushed across both repos (git log origin/main..HEAD = empty both). Working tree M/D files in rei-aios all pre-existing auto-cron data (autonomous-learning-status / harness-sync / NNUE evolution / arxiv-edu / impossibility-map / 等多数) — picked up by auto-cron's own commit cycle (`860d22b7` pattern), NOT mixed into my session commits. Honest hygiene maintained: my work and auto-process work are kept in separate commit chains for clean history.

## G1-G4 closeout actual outcomes

| | actual |
|---|---|
| **G1** dist-mirror sync | ✓ DONE. scripts/sync-index-html-bundle.ts schema extended (open-problems/external-ai + hodge-numerical-study.json + collatz-phi-v3-buchi-basin.json). 3504 files restored. queries/ NOT mirrored (private filing per _SCHEMA.md). |
| **G2** activity-log refresh | ✓ DONE. generate-activity-log.ts auto-regen. 73 KB / 30 publishes / 35 STEP milestones / 67 inventions. |
| **G3** memory file | ✓ DONE. THIS FILE + MEMORY.md index entry (top of 永久 vision list). |
| **G4** site-stats refresh | ⏸ HONEST DEFER. site-stats.json is auto-managed by build-site-stats.ts; manual edits were overwritten between my Edit and my cp by the auto-cron commit `860d22b7` "Auto: site rebuild + stats refresh". Proper fix = update build-site-stats.ts to emit new fields (papersWithV2 / metadbTier10ExternalAi / queriesFilingLayer) — deferred as separate substantial work to next session. Antipattern #5 averted by recognizing auto-managed boundary instead of fighting it. |

## ★ Key deliverables

### Paper 153 v0.2 publish (★★★ DOI assigned)
- **DOI**: `10.5281/zenodo.20237684`
- Parent: `10.5281/zenodo.20207228` (v0.1 from 2026-05-16)
- Workflow: POST /api/records/{parent}/versions → fresh full metadata PUT → file upload + commit → publish
- 4 substantive additions: §6.1 Hodge NOT-NUMERICALLY-FALSIFIABLE / §6.2 Φ_v3 Büchi-25 STABLE / §6.3 Andrica Mathlib PR / §6.4 Tier 10 external-ai
- **★ M2 GAP**: only Zenodo published. v0.1 was on 10 platforms (Zenodo + IA + Dev.to + Hatena + HackMD + Notion + Livedoor + Mastodon + Scrapbox + Nostr). v0.2 multi-platform dissemination deferred to next session.

### B1 — rei-pl repository visualization (Zenn 原伸也 prompt application)
- 2 files in fc0web/rei-pl: `docs/flows.json` + `docs/workflows.html`
- 10 workflows / 85 nodes / 83 edges / 40 KB single-file
- file:// fallback via inlined JSON
- 5-layer PIKAPIKA animation (halo + edge-pulse + node-glow + badge-glow + anno-flash)
- Article anti-pattern guards applied: badge-layer last DOM / bidirectional ±38px offset / bbox-escape / mouseover bubble (NOT mouseenter)
- Smoke test: 10 workflows parse from disk + inlined fallback, JS syntax OK

### TODO 1 — Hodge Φ_v1 numerical test (★ NEW VERDICT CATEGORY)
- `scripts/numerical-hodge-fermat-structural.py` — Griffiths-Steenbrink primitive Hodge on 18 cells (n=2,3,4 × d=2..7)
- Sanity: K3 surface {1,20,1} + Fermat fourfold {0,21,142,21,0} match Conte-Murre 1978 exactly
- 16 PROVED (Φ=0 consistent) + 2 OPEN (X_6^4, X_7^4 first true Fermat fourfold open)
- ★ **NOT-NUMERICALLY-FALSIFIABLE** = 5th distinct verdict category. Forward generativity ceiling exposed.
- Data: `data/hodge-numerical-study.json`

### TODO 2 — Tier 10 (external-ai) META-DB axis
- `data/open-problems/external-ai/` new dir (4 files: 3 seeds + _INGEST_PLAN)
- Seeds: AlphaEvolve Ramsey 9 lower bounds (arXiv:2603.09172) / TSP/MWST 111/110 (arXiv:2509.18057) / 26-circle 2.635 reproduced by OpenEvolve 2.634
- `scripts/ingest-alphaevolve-tao67-scaffold.ts` — 68-problem ingest plan
- Tao framing: AlphaEvolve = hypothesis generator, Rei = proof completer

### TODO 3 — Collatz Φ_v3 STABLE
- `scripts/numerical-collatz-phi-v3-buchi-basin.py`
- All 25 Büchi-25 atomic cores → peak **9232 universal** (matches `buchi25_all_peak_9232` Lean 4 native_decide)
- 25 control non-Büchi seeds → 18 distinct peaks, none reaching 9232
- ★ **STABLE** — σ-cascade peak invariant confirmed; residue class mod 96 is the structural discriminator (not trailing-1-bits j)
- Refines the WEAK Φ_v2 verdict from followup-18

### TODO 4 — Andrica MathlibPrep Lean 4
- `data/lean4-mathlib/CollatzRei/MathlibPrep/AndricaConditional.lean` (8 theorems, build EXIT=0, 0 sorry)
- `andrica_from_gap_squared_le_four_p` (algebraic core)
- `andrica_from_cramer_bound` (★ key conditional)
- `andrica_sufficient_conditions` (aggregator)
- Mathlib-PR-ready packaging of algebraic core

### TODO 6 — FM/HSP refresh (24-day stale → today)
- `scripts/refresh-rei-familiar-matches.ts` (with --dry)
- REI_FAMILIAR_MATCHES: 33 → 43 (+10: 6 Φ-Catalog Forward + 4 published-paper instances)
- HIGH_SOLVE_PROB: 145 → 150 (no regression after mid-run merge bug fix)
- Mid-run regression detection (Pattern 6 self-detect): HSP 145→25 in --dry → identified merge logic bug → fixed before write

### Karpathy 段階 1-2 (LLM Wiki ecosystem watch + queries/ 4th tier)
- `data/research-radar/karpathy-llm-wiki-watch.json` (v1.0 → v1.1 corrigendum same day)
  - v1.0 had Apr 5 publish date → Pattern 6 self-detect via WebFetch → v1.1 Apr 4 16:25 UTC + Revisions=1 + frequency rebalance
- `data/queries/` 4th-tier filing layer (NEW)
  - `_SCHEMA.md` — full schema + when-to-file vs when-not
  - 3 seed entries retroactively filed (AlphaEvolve eval / Karpathy eval / B1 self-observation)
- ★ Hierarchy now: STEP commit → queries/ filing → memory → Theory → Paper

## ★ Pattern accumulator updates

### Pattern 5 (chat-Claude proposing existing) 累積 17 例:
- **17. AlphaEvolve** integration proposal — Rei has `src/axiom-os/alpha-evolve-engine.ts` STEP 717 + Score-Truth Gate STEP 384 + REI-PROVE STEP 1021/1057-1067 + Paper 145 v0.7 IBM Quantum DOI 20192813 = 4 of 5 chat-Claude proposals already implemented.

### Pattern 2 (stale numbers) 累積 27 候補:
- "Paper 66 candidate" → actual Paper 154 next (chat-Claude 13-paper stale)
- "DeepSeek-R1/Qwen2.5" → Rei stack uses DeepSeek-Prover-V2 + Goedel-Prover-V2 + bfs-prover
- "Zenodo 62 papers" → 156 publish-log files
- "31,000 zero-sorry theorems" → Rei has ~27,000 tests; 31,000 is external leanprover/lean-eval-leaderboard benchmark (conflation)
- "SEED 1,500+" → 1,601

### Pattern 6 (self-induced regression) 累積 13 例:
- 13. Apr 5 → Apr 4 Karpathy Gist publish date error in v1.0 watch entry; self-detected via WebFetch in v1.1 same-day corrigendum

### Antipattern #5 (excessive reject) avoided multiple times:
- Hodge "(>1 turn scope)" NOT rejected — found tractable structural inspection → new verdict category emergence (genuine output)
- B1 rei-pl viz NOT rejected as redundant with SITE_COVERAGE_MAP — complementary text-vs-visual axes
- Karpathy frequency reduction is CALIBRATION not dismissal

## ★ Substantive findings (load-bearing)

### Methodological:
- ★ **5th verdict category NOT-NUMERICALLY-FALSIFIABLE** emerged from Hodge → Forward generativity has a CEILING when impossibility lives at conjecture's own epistemic depth
- ★ **σ-cascade peak invariant** confirmed STABLE = residue class mod 96 is structural discriminator
- ★ **Andrica conditional algebraic core** packaged Mathlib-PR-ready (build verified)

### Architectural:
- ★ **4-tier hierarchy formalized**: STEP commit / queries/ filing / memory / Theory / Paper. Inspired by Karpathy `wiki/queries/`. Fills genuine gap.
- ★ **Tier 10 (external-ai) META-DB axis** operational with 3 seeds. Schema-compatible with v3.0 META-DB.
- ★ **Negative-axiom prompting principle** verified empirically via B1 (Zenn article methodology insight — generalizable beyond viz task; matches Score-Truth Gate philosophy)

### chat-Claude protocol:
- 4 substantial chat-Claude evaluations honest-filtered today (repo-viz + AlphaEvolve + Karpathy LLM Wiki + Karpathy HELLO.md)
- All transferable elements identified + non-novel elements logged
- queries/ filing now provides structured digest layer (vs raw chat-claude-archive)

## ★ Honest non-findings

- ❌ No mathematical proof advance on any open problem (Collatz / Hodge / Andrica / Brocard / Riemann / Wall-Sun-Sun / Goldbach all unchanged)
- ❌ Paper 153 v0.2 multi-platform dissemination (M2 gap, only Zenodo, 9 platforms deferred)
- ❌ Paper 154 outline not started (deferred to evening / next session)
- ❌ OpenEvolve fork not started (chat-Claude evening implementation plan)
- ❌ Phi-Catalog Forward lens (`#/phi-catalog-forward`) content not refreshed with new Hodge/Φ_v3 verdicts (M3 gap)
- ❌ INDEX.json totalExternalAi counter not added (M1 gap)

## ★ Next session priority-ranked TODO

1. **OpenEvolve fork** (chat-Claude evening implementation plan, ~数 hr) — Apache-2.0 base + Ollama (DeepSeek-Prover-V2 + Goedel-Prover-V2 + bfs-prover) integration. β-evaluator (Lean 4 zero-sorry) + γ-evaluator (D-FUMT₈) layers. Reproduction: 26-circle 2.635 benchmark.
2. **Paper 154 outline** — "Rei as formal-verification compilation pass for AI-generated mathematics". Integrates: AlphaEvolve (hypothesis generator) + Karpathy LLM Wiki (bookkeeping) + Rei (proof completer). Tao quote framing + mikhashev `compilation pass` + Karpathy `intentionally abstract`.
3. **M2: Paper 153 v0.2 multi-platform** — 9 platforms (IA + Dev.to + Hatena + HackMD + Notion + Livedoor + Mastodon + Scrapbox + Nostr) for parity with v0.1
4. **M3: Phi-Catalog Forward lens content refresh** — surface Hodge + Φ_v3 + Andrica conditional + Tier 10 to `#/phi-catalog-forward`
5. **M1: INDEX.json totalExternalAi counter** — formal Tier 10 in v3.x META-DB schema
6. **AlphaEvolve Tao 67 full ingest** — execute the 68-problem fetch from `_INGEST_PLAN.json` (deferred per OUKC rhythm today)
7. **Hodge Φ_v2 refinement** — replace `dim(alg)` with `dim(explicit cycle classes)` from Conte-Murre + Shioda to make Φ_v2 testable lower-bound
8. **Karpathy timeln.app monitoring** — Karpathy's memory project (mentioned in HELLO.md April 20). Direct parallel to Rei session-memory-via-files architecture.

## ★ 連結 memory references

- [[2026-05-16-full-session-summary]] (前日 yesterday's substantial session)
- [[chat-claude-hallucination-warning]] (Pattern 2/5 累積 record)
- [[antipattern-5-excessive-reject-warning-2026-05-15]] (Antipattern #5 累積 record)
- [[feedback-no-rush-publication]] (急がず ゆっくりと publish discipline — Paper 153 v0.2 publish gate respected via user confirmation flow)
- [[feedback-dist-renderer-chunked-deps-deploy-protocol]] (G1 closeout aligned with permanent protocol)

## End-of-day rhythm note

藤本さんの「急がず ゆっくりと」 rhythm に沿った 1 日: article review 4 件 → 構造 audit (A1) → 軽量 implementation (B1) → priority TODO 1-6 → 帰宅 → loose-ends closure G1-G4 → corrigendum. 急がず publish gate を user confirmation 経由で respected. Paper 153 v0.2 publish は user explicit instruction + my gate confirmation で完遂 (irreversible action principle 守り).

8 commits / 8 hours estimated / no math breakthrough but substantial methodological output (5th verdict category + 4-tier hierarchy + Mathlib PR candidate + new META-DB axis).

「種を植える日」 として記録に値する.
