{
  "classification": "Local author proof and code review; no independent human or agent review",
  "open_major_findings": 0,
  "checked": [
    "Finite potential P_T is distinct from full P_N; both upper boundary terms vanish.",
    "The truncated residual is not old-space orthogonal; all old rows of the projection D are retained.",
    "Coupled tail bound uses the actual full Gram metric, not unrelated entrywise radii.",
    "The synthesis normalization is an isometry; both trace and one are valid tail operator bounds.",
    "Safe dyadic step is chosen outward and guarantees theta squared times finite observation energy.",
    "Coefficient bound uses orthogonal projection norm at most sqrt(2), then NS81 ordinary eigenvalue bound.",
    "Complete physical tail includes target, coefficient combination and their cross term via a rigorous inequality.",
    "Critical-zero lower bound is used only asymptotically, not at any finite test size.",
    "T=N^(5+epsilon) gives normalized tail O(N^(-epsilon)log^4 N); normalized gain discrepancy is o(1/log N).",
    "Polynomial localization supplies no positive arithmetic lower gain, effective onset or fast inverse.",
    "Maxima checks are scalar sanity checks, not an automated proof of the operator theorem.",
    "Precision/cutoff comparisons distinguish fixed observables from precision-dependent dyadic step scalars."
  ],
  "development_corrections": [
    {
      "finding": "Maxima auto-collapses a one-by-one matrix product to a scalar.",
      "resolution": "Removed matrix indexing from the symbolic Schur check; all 14 checks pass."
    },
    {
      "finding": "A verification invocation encountered an old output while its replacement run was still running; a later log guard matched FAIL in the echoed function definition.",
      "resolution": "Waited for all runs, preserved source-hash checks, and made the log guard detect actual failure output. Final replay passes."
    }
  ]
}