SGUFT G-closure V17 (OPK1): Adjudicable Projection-Kernel Audit — Mercer Compatibility and Truncation Tail Bounds (RUN_G_OPKDEMO_0001_OPK1)

This record archives SGUFT G-closure layer V17 (OPK1), an adjudicable (PASS/FAIL) audit package that advances the kernel object K from a numerical proxy toward an explicitly checkable operator-level surrogate.Inputs are provenance-locked snapshots from V2/KIP1 (five cases) that provide 32×32 kernel matrices (g_kernel.npy) together with upstream audit/manifest. OPK1 defines derivative-free diagnostics: (i) a Mercer-compatibility check via symmetry residual and PSD-violation residual (computed on the symmetrized kernel), and (ii) truncation-control proxies via singular-value tail ratios (Hilbert–Schmidt tail and nuclear tail) at frozen cutoffs. Verdicts depend only on OPK1 outputs plus audit/manifest under frozen thresholds; external physical interpretation is excluded from adjudication.Files included: (1) an “only pack” containing OPK1 layer assets (snapshots, scripts, outputs, audit/manifest), (2) an “evidence pack” containing the full run directory, and (3) a summary pack containing CSV/JSON summaries preventing narrative drift.本数据集归档了SGUFT G闭包层V17（OPK1），这是一套可执行PASS/FAIL裁决的审计套件，用于将核对象K从数值代理形式推进至可显式校验的算子级代理形式。输入为来自V2/KIP1的溯源锁定快照（共5个案例），这些快照提供32×32核矩阵（g_kernel.npy）以及上游审计文件与清单文件。OPK1定义了无导数诊断方法：(i) 基于对称残差与半正定违规残差（在对称化核上计算）的梅塞尔（Mercer）相容性校验；(ii) 在固定截断阈值下，通过奇异值尾部比率（希尔伯特-施密特（Hilbert–Schmidt）尾部与核范数尾部）实现的截断控制代理指标。裁决结果仅取决于固定阈值下的OPK1输出结果与审计/清单文件，裁决过程不纳入外部物理解释。包含的文件如下：(1) 「仅打包件（"only pack"）」：内含OPK1层相关资源（快照、脚本、输出文件、审计/清单文件）；(2) 「证据打包件（"evidence pack"）」：内含完整运行目录；(3) 「摘要打包件（"summary pack"）」：内含CSV与JSON格式的摘要文件，可避免叙述偏差。