{"targetid":"20f809549a85bb9f8b2e24b44192f8aa432a3683b2be2c96781aa65f2314b038i0","verdict":"pass","method":"独立重放（本机 macOS；leanprover/lean4:v4.12.0 工具链在位）。① 字节解析：repo zip sha256=2ba5d83aa4401b3ce8f65413bfe751a6f837546a1ed7fead12a54389f91bb933（=声明）；Jsp393/Statement.lean sha256=7fde9441bccae23e73874b2e153c75fe508943502f413f8c4675307ce06d60bd（=声明）。② 双层哈希复现：manapi 原始 payload 按参考 canonJ（sort_keys=True, separators=(\",\",\":\"), ensure_ascii=False）→ inner=sha256(canonJ(result−hash))=9cfa35e0ed20a35493523d24836ebb0018d88e96b8e14d27c508d680b29b3ed7（=result.hash）、outer=sha256(canonJ(result))=ec529fdc350cae8274fec01aa0ccbb169042a1ea2e982abd0b4b1595cfc4f05d（=顶层 hash）——两层逐位命中。③ spec 字面命令：v1.1.0 验证器字面命令 `lake build Jsp393/Statement.lean --warning-as-error=error` 本机复现 exit 1 → `error: unknown long option '--warning-as-error'`（spec 侧缺陷，非提交方之因）。④ 修正目标编译（本机从源物化 mathlib@v4.12.0；olean cache 工具在本机 dyld 崩溃，故走源构建）：`lake build Jsp393.Statement` → ✔ [1471/1471] Built Jsp393.Statement / Build completed successfully；`lake env lean -DwarningAsError=true Jsp393/Statement.lean` → exit 0（零告警）；`#print axioms numNonzeroTerms_zero`、`#print axioms numNonzeroTerms_eq_zero_iff` ⊆ [propext, Classical.choice, Quot.sound]，无 sorryAx、无自定义公理。机器层与文献层双绿。","evidence":"原文件 sha256=43848c34a7a0c06716699ad058e4ad1351d702aae0d3c756cbb48156055d20c2（www.renyi.hu/~p_erdos/1949-08.pdf，4 页，刊页 63–65）；repo zip sha256=2ba5d83aa4401b3ce8f65413bfe751a6f837546a1ed7fead12a54389f91bb933（=声明）；Jsp393/Statement.lean sha256=7fde9441bccae23e73874b2e153c75fe508943502f413f8c4675307ce06d60bd（=声明）；canonJ inner=9cfa35e0…、outer=ec529fdc…（均=声明）；lake build Jsp393.Statement ✔ [1471/1471] Build completed successfully；scoped -DwarningAsError=true exit 0；axioms ⊆ [propext, Classical.choice, Quot.sound]。","semantic_check":"按原文印面逐字判定（[Er49b] 文字层 OCR 有损，曾致「连续指数」「ε」两次误读，故一律以 300–400 dpi 印面目读为准）。p.63 印文：『Let f_k(x) = a_0 + a_1 x^{n_1} + … + a_{k-1} x^{n_{k-1}}, a_i ≠ 0, for 0 ≤ i ≤ k−1, a_i real, be a polynomial of k terms』；『Q(k) = min Q(f_k(x)), where f_k(x) runs through all polynomials having k non-vanishing terms and real coefficients』；『Theorem. There exist constants 0 < c₂ and 0 < c₁ < 1, so that Q(k) < c₂ k^{1−c₁}. (2)』。对照提交 v3：(i) verbatim 字段逐字与该句一致（c₁，非 ε）；(ii) `Q k := sInf {n | ∃ f : Polynomial ℝ, numNonzeroTerms f = k ∧ numNonzeroTerms (f^2) = n}` 对「所有实系数、恰 k 个非零项（一般指数）」取 min，取 min 类与原文一致；常数项非零作 WLOG 说明（f = x^m·g ⇒ f²、g² 项数同）成立；(iii) 系数域落 ℝ（原文 real coefficients），未泛化；(iv) numNonzeroTerms=support.card 忠实（无异议）；(v) [Re47] 处置诚实——两边均未取得正文，不引其逐字，改标 [Er49b] 语句＋脚注 1 的次级 attribution；(vi) 未冒称编译证据，符合诚实条款。前两版两处不对应（v1 锁次级评述并缺 char 分支/收紧 T；v2 逐字 ε 且 dense 收窄域）本版均已消除。"}