---
name: paper152-v03-published-2026-05-14
description: Paper 152 v0.3 publish 完了 10 platform — Zenodo DOI 10.5281/zenodo.20158847 + Lemma 5d.1 Lean 4 mechanized (STEP 1127) + 10⁹ scan + Erratum E3
metadata: 
  node_type: memory
  type: project
  originSessionId: e5ec4e43-958a-4a47-a6f0-4513f218941f
---

★★★★★ 2026-05-14 STEP 1124+1127 Paper 152 v0.3 publish 完了 — 10 platform.

## Zenodo DOI

- **v0.3 DOI**: `10.5281/zenodo.20158847` (manual web UI publish 経由)
- parent v0.2: `10.5281/zenodo.20149662`
- v0.1 root: `10.5281/zenodo.20148868`
- concept all-versions: `10.5281/zenodo.20148867`

## Publish 方法

⚠ Zenodo API write op 終日 500 server-error → **manual web UI 経由 publish** (Option A).
藤本さん 直接操作で title / description / version / file 入力 → publish 成功 → 8 view 取得.

## v0.3 核心 (v0.2 → v0.3)

| Item | Status |
|---|---|
| **(A) 10⁹ scan 完了** (~2.4 hr) | n=96k 200/200 (10⁸) → **77,749/77,749 (10⁹) = 100%, 388× scale, 0 counter-examples**, max d=70 不変 |
| **(B) §5d G_3 subgraph framework** | Lemma 5d.1 + 5d.2 + Corollary 5d.3. **VALUE level iff** (NOT mod-96 class level, Erratum E2 preserve) |
| **(C) Erratum E3** | class 21 absence: 100% (10⁸) → **98.43% (10⁹, 1,221 counter-examples)**. "universal" → "strong avoidance pattern" |
| **(D) Dissociation** | n=96k 強化 + class 21 弱化 = 独立 claim |
| **★ (E) STEP 1127** | **Lemma 5d.1 Lean 4 mechanically proved** (G3Subgraph.lean, 0 sorries) + bonus theorems |

## Lean 4 §5d framework status

| File | Theorems | Status |
|---|---|---|
| PeakMergeInvariant.lean | Büchi-25 → 9232 + n=27 | ✅ native_decide |
| PeakMergeWitness.lean | peak_merge_exists (1000 witnesses) | ✅ native_decide |
| ThreeAdicIsolation.lean | Theorem 5b (no odd predecessor of mult-3) | ✅ proved |
| **G3Subgraph.lean (NEW STEP 1127)** | **Lemma 5d.1 + 4 bonus theorems** | **✅ proved** |

→ Paper 152 v0.3 §5d は **4 Lean 4 mechanized files / 全 0 sorries**.

## 10 Platform 公開 URL

| # | Platform | URL |
|---|---|---|
| 1 | **Zenodo** | https://doi.org/10.5281/zenodo.20158847 |
| 2 | IA | https://archive.org/details/rei-aios-paper-152-v03-1778679608308 |
| 3 | Dev.to | https://dev.to/fc0web/paper-152-v03-...253h (id 3666740) |
| 4 | Hatena | https://fcwebfujimoto.hatenablog.com/entry/2026/05/14/111520 |
| 5 | HackMD | https://hackmd.io/@zCUv2P2UQHGmAOJFPLL_-A/rkFrl2f1Mg |
| 6 | Notion | 360dd371e6d981deb177e78c91fba5fa |
| 7 | Livedoor | https://fcwebfujimoto.livedoor.blog/archives/13166948.html |
| 8 | Mastodon | https://mathstodon.xyz/@Fujimoto/116570519706707986 (1695/1700 chars) |
| 9 | Scrapbox | rei-aios project |
| 10 | Nostr | long-form 3/5 + announce 3/5 (NIP-23) |
| ⏸ | Harvard | skip (opt-in policy) |

## 累積 OUKC honest correction principle 実例 (3 例目 = E3)

E1 (v0.1 → publish 内訂正): 31,313 = 173 × 181 prime gap-8 pair
E2 (v0.1 → v0.2): 3-adic theorem は specific value level, mod-96 class level でない
**E3 (v0.2 → v0.3): class 21 absence universal → strong avoidance pattern at 10⁹**

publish 後 self-detection honest correction = **同 paper 1 day 内 3 件累積**. OUKC honest-correction principle operational 3 例目.

## 連結 reference

- [[paper152-v02-published-2026-05-11]] (parent v0.2 record)
- [[project_paper152_v02_published_2026-05-13]] (v0.2 詳細)
- [[project_chat_claude_4part_impossibility_compression_2026-05-14]] (chat-Claude 4 part evaluation that prompted Lean 4 Lemma 5d.1 mechanization)
- [[project_phi_catalog_hypothesis_2026-05-14]] (Φ catalog research direction memory)
- [[feedback_chat_claude_hallucination_warning]] (Pattern 5 累積 13 件 + Pattern 2 累積 4 件 record)