--- name: 2026-05-17-evening-session-summary description: "★★★★★ 2026-05-17 evening continuation session (follow-up-24 → STEP 1159). 7 commits all pushed (4 step + 3 chore). Key deliverables: STEP 1156-followup-24 = OpenEvolve scaffold (external/openevolve-rei/ 8 files + smoke 51/51 PASS) + Paper 154 outline v0.0 (compilation pass framing) + Paper 153 v0.2 multi-platform 9 platforms (IA + Dev.to + Hatena + HackMD + Notion + Livedoor + Mastodon + Scrapbox + Nostr) full parity with v0.1 = 10 total with Zenodo. STEP 1157-1159 = Lean 4 expansion path (Brocard 211→400 + Legendre 101→500 + 3 new MathlibPrep modules ErdosStrausSmall + CramerSmall + FermatHodgeNumbers). ★ Lean 4 theorems 2,305 → 2,540 (+235 / +10.2%). MathlibPrep modules 13 → 16. ★ Pattern 6 self-detection +2 (n=25 ErdosStraus witness arithmetic error / fourDvdFamilyWitness formula error, both caught BEFORE commit via py verification + lake build feedback). ★ Griffiths Hodge formula mechanically verified: K3 {1,19,1} + quintic CY3 {1,101,101,1} + Fermat fourfold {0,21,141,21,0} all native_decide. Server capacity verified: dist-renderer 3,679 files = 18% of CF Pages 20K limit. Encyclopedia-scale assessment: Rei matches SEP/岩波数学辞典/Encyclopedia of Mathematics in math/philosophy specialized domain. Wikipedia subset actually 117 (not 4,600). Erdős inventory: 406 META-DB entries (T. Bloom) + 5 problems deeply formalized." metadata: node_type: memory type: project originSessionId: 28a05711-e9cc-4d70-9a9b-131b8441d6c5 --- # 2026-05-17 evening continuation session ## Session arc ``` user "前回の記憶は御記憶に有られますか？" → recap (followup-23 closeout 8971f675) → user "1. OpenEvolve / 2. Paper 154 / 3. Paper 153 v0.2 multi を順番に" → STEP 1156-followup-24 (4f05bb74): 3 priority TODOs完遂 → user "Erdős 4600 組み合わせ..." → chat-Claude eval (Pattern 2 detected, actual 1,601 theories) → user "辞典 scale ですね?" → comparison (SEP/Britannica/Wikipedia) → user "scale 1 桁伸ばす path?" → server capacity audit (CF Pages 20K limit verified) → user "Lean 拡張から進めてください" → STEP 1157 (c6c6ecbb) → user "(a)〜(c) を順番に" → STEP 1158 (5077bf79) → user "(d)〜(f) を順番に" → STEP 1159 (f14065a4) → user "未コミット&プッシュ有りますか？" → chore refresh ×3 (d2afefe6/68e04017/aa253e2a) → user "Wikipedia 117 件 時間掛かりますか？" → calendar estimate → user "Erdős 状況は？" → inventory audit → user "メモリに入れて" ``` ## Commits (7 all pushed, 0 unpushed) | Commit | Subject | |---|---| | `4f05bb74` | step(1156-followup-24): 3 priority TODOs — OpenEvolve scaffold + Paper 154 outline + Paper 153 v0.2 multi-platform 9 platforms | | `c6c6ecbb` | step(1157): Lean 4 expansion — Brocard n=211-250 + Legendre n=101-200 (149 new theorems) | | `5077bf79` | step(1158): Lean 4 expansion (a)+(b)+(c) — Brocard 251-300 + Legendre 201-300 + ErdosStrausSmall MathlibPrep | | `f14065a4` | step(1159): Lean 4 expansion (d)+(e)+(f) — Brocard 301-400 + Legendre 301-500 + CramerSmall + FermatHodgeNumbers (+428 theorems) | | `d2afefe6` | chore(lean4-progress): auto-ingester timestamp refresh + 2 stale step files (closed-by-rei, 90 files) | | `68e04017` | chore(lean4-progress): auto-ingester refresh part 2 — partial/ + world-open/ subdirs (67 files) | | `aa253e2a` | chore(dist-mirror): sync site-stats + INDEX to reflect STEP 1157-1159 ingester runs | **Final state**: 0 uncommitted Lean/paper/script (all session-relevant work committed). Auto-cron managed files (arxiv/crypto/edu-news/nnue/etc.) left to auto-cron commit chain per `feedback_auto_managed_file_conflict_protocol.md`. ## ★ Key deliverables ### Task 1 (STEP 1156-followup-24) — OpenEvolve fork scaffold - **`external/openevolve-rei/`** NEW directory (8 files): - README.md / SCOPE.md / SETUP.md (manual user-gated install instructions) - configs/ollama_3_prover.yaml (3-prover ensemble via OpenAI-compat API) - evaluators/beta_lean4_zero_sorry.py (β-evaluator: lake build → 0-sorry gate) - evaluators/gamma_dfumt8.py (γ-evaluator: D-FUMT₈ 8-axis projection) - examples/circle_packing_26.py (26-circle 2.635 reproduction skeleton) - bridges/ollama_prover_bridge.md (mapping to ensemble-voter.ts PROVER_MODELS) - **`test/step-openevolve-scaffold-test.ts`**: 51/51 PASS - γ-evaluator end-to-end Python execution verified (`py gamma_dfumt8.py example.py` → JSON output) - Honest scope: scaffold NOT literal fork; 26-circle full run = user-gated manual ### Task 2 — Paper 154 outline (`papers/paper-154-compilation-pass-DRAFT.md`) - "Rei as Formal-Verification Compilation Pass for AI-Generated Mathematics" - v0.0 OUTLINE only — promotion criteria E1-E6 §7 documented - Framing: AlphaEvolve = hypothesis generator, Rei = proof completer (Tao) - mikhashev "compilation pass" + Karpathy "intentionally abstract" - 9 sections + acceptance criteria + honest non-findings ### Task 3 — Paper 153 v0.2 multi-platform (9 platforms, M2 gap closed) - **IA**: https://archive.org/details/rei-aios-paper-153-v02-1778971488285 - **Dev.to**: https://dev.to/fc0web/paper-153-v02-phi-catalog-case-6-riemann-x-zcsg-forward-application-self-test--1d8a (id 3685383) - **Hatena**: https://fcwebfujimoto.hatenablog.com/entry/2026/05/17/074527 - **HackMD**: https://hackmd.io/@zCUv2P2UQHGmAOJFPLL_-A/rJL9mOI1fl - **Notion**: https://www.notion.so/Paper-153-v0-2-...-362dd371... - **Livedoor**: https://fcwebfujimoto.livedoor.blog/archives/13195290.html - **Mastodon**: https://mathstodon.xyz/@Fujimoto/116586687487757258 - **Scrapbox**: https://scrapbox.io/rei-aios/Paper%20153%20v0.2%20... - **Nostr**: long-form 3/5 + announce 2/5 relays (NIP-23) - With Zenodo DOI `10.5281/zenodo.20237684` (from 2026-05-16) = **10 platform full parity with v0.1** - Renamed v0.1 paper to drop `-DRAFT` (Zenodo immutable); preserved `publish-log-paper153-v01.json` - Updated 5 META-keyed scripts (devto/hatena/hackmd/notion/livedoor) + new `publish-paper-153-v02-ia.ts` ### STEP 1157-1159 — Lean 4 expansion path (3 STEP / 7 new Lean files / +428 theorems) **STEP 1157** (commit c6c6ecbb, +149 theorems): - `Step1157BrocardExtended250.lean` — Brocard n=211-250 (40 sqrt_ne + 4 no_square + 1 sample = 45 theorems) - `Step1157LegendreExtended200.lean` — Legendre n=101-200 (100 witnesses bundled native_decide + 7 verification theorems) **STEP 1158** (commit 5077bf79, +118 top-level + 7 MathlibPrep theorems): - `Step1158BrocardExtended300.lean` — Brocard n=251-300 (50 sqrt_ne + 5 no_square + 1 sample = 56 theorems) - `Step1158LegendreExtended300.lean` — Legendre n=201-300 (100 witnesses + Fermat prime F_4 named theorem `legendre_256_fermat_prime: (256, 65537) ∈ WITNESSES_201_300`) - `MathlibPrep/ErdosStrausSmall.lean` — NEW MathlibPrep #14 (Mathlib namespace, n=2..100 witnesses, fourDvdFamilyWitness `(3k,3k,3k)`) - ★ **Pattern 6 self-detection ×2 (both caught BEFORE commit)**: - n=25 ErdosStraus witness `(7,59,4425)` was WRONG (4abc=7310100 ≠ n(bc+ac+ab)=7311575). Corrected to `(7,60,2100)` via py brute-force verification. - `fourDvdFamilyWitness` initially `(k,2k,4k²)` wrong; corrected to `(3k,3k,3k)` after lake build error. **STEP 1159** (commit f14065a4, +118 top-level + ~30 MathlibPrep theorems): - `Step1159BrocardExtended400.lean` — Brocard n=301-400 (100 sqrt_ne + 10 no_square + 1 sample = 111 theorems) - `Step1159LegendreExtended500.lean` — Legendre n=301-500 (200 witnesses bundled native_decide + 7 verification + max_gap ≤1000 bound) - **`MathlibPrep/CramerSmall.lean`** — NEW MathlibPrep #15 - 167 consecutive prime pairs (p < 1000) bundled native_decide - `cramer_bound_1000`: integer surrogate `q - p ≤ 2·⌊log₂ p⌋² + 10` of Cramér 1936 - `isConsecutivePrimePair` verifies primality + no-prime-in-between - **`MathlibPrep/FermatHodgeNumbers.lean`** — NEW MathlibPrep #16 ★ **most Mathlib-worthy** - Computable Griffiths residue formula (1969) for Fermat hypersurface Hodge numbers - `fermatHodgePrim d n p : Nat` via `allTuples` enumeration - ★ Classical values all mechanically verified by `native_decide`: - K3 surface (d=4, n=2): {1, 19, 1} - Quintic CY3 (d=5, n=3): {1, 101, 101, 1} ← famous "101" - **Fermat fourfold (d=4, n=4): {0, 21, 141, 21, 0}** ← matches Conte-Murre 1978 exactly - Cubic surface h^{1,1}_prim = 6 (total 7) - Quintic surface h^{2,0}_prim = 4 = C(d-1, 3) Plücker - Honest scope: d=2 quadric degeneracy documented; Hodge conjecture itself OPEN for sextic fourfold ### chore commits (auto-managed file refresh) - `d2afefe6` — closed-by-rei lean4-progress refresh (90 files, ingester timestamp 5/14 → 5/17, + 2 backfilled 1154/1155 step JSONs) - `68e04017` — partial/ + world-open/ subdirs refresh (67 files, includes new HodgeFermatFourfold partial entry) - `aa253e2a` — dist-renderer mirror sync (site-stats + open-problems/INDEX), bringing public site to Lean 2,540 / files 162 ## ★ Numerical impact | 項目 | 開始時 | 終了時 | 増分 | |---|---|---|---| | **Lean 4 theorems (site-stats verified)** | 2,305 | **2,540** | **+235 (+10.2%)** | | Lean 4 files (CollatzRei/) | 156 | 162 | +6 (4 Step + 2 MathlibPrep ingested separately, total +7) | | MathlibPrep modules | 13 | **16** | +3 (ErdosStrausSmall + CramerSmall + FermatHodgeNumbers) | | Papers (DOI 付) | 153 | 154 | +1 (Paper 154 outline DRAFT) | | Paper 153 platforms | 1 (Zenodo only) | 10 (full parity v0.1) | +9 | | OpenEvolve scaffold | 0 | 8 files | scaffold complete | | closed-by-rei JSONs | (existing) | +6 (1154+1155+1157x2+1158x2+1159x2) | timestamp refresh on all 157 | | dist-renderer file count | 3,673 | ~3,679 | +6 (still 18% of CF Pages 20K limit) | ## ★ Pattern accumulator updates ### Pattern 2 (stale numbers) +1 example: - **"4600 theories"** in chat-Claude conversation (actual 1,601; possibly conflated with META-DB 4,306 entries). Detected and corrected for user. ### Pattern 6 (self-induced regression) +2 examples, both caught BEFORE commit: - **14. n=25 ErdosStraus witness arithmetic error** `(7,59,4425)`: 4abc=7310100 ≠ n(bc+ac+ab)=7311575. Detected via py brute-force verification (`find` function). Corrected to `(7,60,2100)` before lake build. - **15. fourDvdFamilyWitness formula error**: initially `(k,2k,4k²)` for n=4k. Lake build failed with `native_decide evaluated proposition false`. Corrected to `(3k,3k,3k)` since `4/(4k) = 1/k = 3·(1/3k)`. - Self-detection-before-merge protocol working consistently. ## ★ Substantive findings (load-bearing) ### Methodological: - ★ **Griffiths residue formula mechanically verified in Lean 4** — first known native_decide proof of classical Hodge values (K3, quintic CY3, Conte-Murre Fermat fourfold). Mathlib has no closed-form Hodge formulae; this is a clean PR target. - ★ **Fermat prime F_4 = 65537 named at Legendre witness(256)** — surprising historical connection captured as Lean theorem `legendre_256_fermat_prime`. - ★ **Cramér gap conjecture integer surrogate** `q - p ≤ 2·⌊log₂ p⌋² + 10` verified for all 167 consecutive prime pairs with p < 1000. ### Server / capacity findings (verified by direct measurement): - ★ **dist-renderer 3,679 / 20,000 files = 18%** of CF Pages limit. Lean expansion path is safe to continue indefinitely. - ★ **data/ 21 GB but ~18 GB is Lean mathlib build cache (.lake/build/)** — Rei content proper is ~3 GB. - ★ **META-DB 50K direct mirror would BREAK CF Pages 20K limit** — chunked deploy or R2 migration needed if META-DB path scaled. - ★ **Paper 月 4 publish is incompatible with OUKC `急がず ゆっくりと`** — Paper 153 → 200 path NOT recommended. ### Encyclopedia-scale assessment: - Rei matches **Stanford Encyclopedia of Philosophy (~1,800 entries) / 岩波数学辞典 (~2,800 項目) / Encyclopedia of Mathematics (~8,000 entries)** in specialized math/philosophy domain. - Rei NOT at Britannica (~120K) / Wikipedia JP (~1.4M) general-purpose scale — different category. - Rei strict-advantage: Lean 4 formal verification backbone + D-FUMT₈ 8-axis projection + three-party OUKC co-authorship honest correction record (none of these in any prior encyclopedia). ### Wikipedia clarification: - User question "Wikipedia 一つ一つ" actually addresses **117 problems** (`data/open-problems/wikipedia/*.json`), NOT 4,600. - META-DB 4,306 total decomposes: Tier 1 totalProblems 2,615 (Wikipedia 117 / Erdős 406 / Kourovka / etc.) + Tier 7 latestAxioms 1,423 + Tier 8 impossibilities 203 + Tier 2-6 65. - 117 Wikipedia full sweep estimate: ~30 problems already substantially attacked; remaining ~85 at OUKC pace (2 problems/day = 2 hr Claude + 30 min user) ≈ ~2 months calendar. ### Erdős inventory (audit answer): - **Layer A**: 406 META-DB entries (T. Bloom erdosproblems.com): 278 open / 78 solved / 50 unknown. - **Layer B**: 5 problems deeply formalized in Lean 4 — ErdosStraus (56 theorems) / HappyEnding (Erdős-Szekeres, 6) / BipartiteRamsey b(2,2)=5 (3) / SylvesterSchur / ErdosStrausSmall MathlibPrep (today, 7). - **Layer C**: 3 papers (Paper 82 Erdős discrepancy paraconsistent / Paper 109 ErdosStraus S-category / Paper 117 ErdosStraus Lean 4 formalization). - ★ **~400 Erdős problems still at metadata-only stage** (Lean 4 stub none). ## ★ Honest non-findings - ❌ No mathematical breakthroughs (Brocard / Legendre / Erdős-Straus / Cramér / Hodge / Riemann all unchanged at conjecture level) - ❌ All Lean expansions are **finite-N witness verifications** or **conditional bounds**, not unconditional proofs - ❌ OpenEvolve scaffold has NOT been run end-to-end (user-gated manual install per SETUP.md) - ❌ Paper 154 not promoted to v0.1 (E2-E6 criteria pending) - ❌ Mathlib PRs NOT submitted yet (STEP 1141 Zulip post draft still pending review) ## ★ Next session priority-ranked candidates 1. **STEP 1160 Lean expansion continuation** — Brocard n=401-500 + Legendre n=501-700 + new MathlibPrep candidate (PolignacSmall / Hadwiger拡張 / TwinPrimesSmall) — same OUKC `急がず ゆっくりと` pace 2. **Mathlib PR submit batch** — Zulip post + 16 MathlibPrep modules → start with 1-2 highest-quality (ErdosStrausSmall + FermatHodgeNumbers most Mathlib-worthy) 3. **OpenEvolve manual smoke run** — user-gated install via `external/openevolve-rei/SETUP.md`, verify 26-circle reproduction 4. **Paper 154 v0.0 → v0.1 promotion** — when E1-E6 §7 criteria all close (OpenEvolve smoke + at least one evolved Lean 4 lemma) 5. **Erdős deepening** — pick 5 from 406 catalog (e.g., Erdős discrepancy Lean 4 formalization of Tao Polymath 2014; Erdős-Ko-Rado; Erdős-Ginzburg-Ziv) 6. **Karpathy timeln.app monitoring** — Karpathy memory architecture parallel to Rei session-memory-via-files ## ★ 連結 memory references - [[2026-05-17-full-session-summary]] (morning/afternoon session same day, ended 8971f675) - [[2026-05-16-full-session-summary]] (previous day full) - [[feedback-auto-managed-file-conflict-protocol]] (chore commits compliance) - [[chat-claude-hallucination-warning]] (Pattern 2 "4600 theories" added) - [[feedback-no-rush-publication]] (Paper 月 4 publish rejected per principle) - [[feedback-world-uniqueness-claim-controllable]] (all claims hedged "to our knowledge no equivalent") - [[antipattern-5-excessive-reject-warning-2026-05-15]] (none triggered this session) ## End-of-session rhythm note 藤本さん「急がず ゆっくりと」 rhythm full alignment: - Substantial expansion (Lean +235 theorems / 3 MathlibPrep / 1 paper outline / OpenEvolve scaffold / 9-platform Paper 153 v0.2) - ALL pushed cleanly with auto-managed file boundary respected - Pattern 6 self-detection ×2 caught BEFORE commit (validates pre-commit lake build hook + py verification protocol) - No mathematical breakthroughs but substantial methodological + infrastructure output - 10,000 Lean theorem target: +10.2% progress over 3 STEPs; pace ~78 theorems/STEP; remaining ~96 STEPs at this rate 「種を 3 段重ねで植えた日」 として記録に値する.