{
  "classification": "local integration validation; no independent review or RH proof",
  "version": "v1.60",
  "date": "2026-09-23",
  "tasks": [
    "NS-67",
    "NS-68",
    "NS-69",
    "NS-70",
    "NS-71"
  ],
  "publication_base_commit": "5b7ed34a172a45aeca10627b454288315793ce9c",
  "manuscript": {
    "pages": 330,
    "warning_counts": {
      "undefined_or_duplicate_references": 0,
      "overfull_boxes": 0,
      "underfull_boxes": 0,
      "latex_warnings": 0,
      "pdftex_warnings": 0,
      "duplicate_pdf_destinations": 0
    },
    "proof_fragment_integrated_verbatim_once": true,
    "proof_sha256": "f58a7dc2dfc2a789d1f384341996b5aa62362099c078cc826a722e0e77b95029",
    "main_tex_sha256": "a9ec242d4cb78d94f1ad0b83510bee0d9450b7efd49deecbf92d421951ad0a2b",
    "pdf_sha256": "3821ae86c3ed2c3fc3cd679cd2356403306478b667f24d8ed977f8d39c7d7cfd",
    "new_section_visual_review_pages": [
      293,
      294,
      295,
      296,
      297,
      298,
      299,
      300,
      301,
      302,
      303,
      304,
      305
    ]
  },
  "maxima_exact_checks": {
    "NS-67": 54,
    "NS-68": 41,
    "NS-69": 20,
    "NS-70": 14,
    "NS-71": 8
  },
  "maxima_total": 137,
  "arb_precisions_bits": [
    256,
    384
  ],
  "replays": {
    "ns67": {
      "status": "PASS",
      "precision_bits": [
        256,
        384
      ],
      "physical_precision_enclosure_matches": 175,
      "doubled_cutoff_enclosure_matches": 28,
      "independent_gram_precision_matches": 9,
      "independent_gram_minimum_accuracy_bits": 139,
      "physical_spot_checks_per_precision": 25,
      "uniform_centered_conditioning_bound": "1+2*norm(sigma_1) < 4.617",
      "source_sha256": "2c4c14202df2e733063c62658f882bd4f7a488008e077b786aabb809c11e6bde",
      "inherited_kernel_sha256": "0f70a98cf11b61054ff1f0ba855c3e5be383eddc95468ac87d5eea51288974c5"
    },
    "ns68_to_ns70": {
      "status": "PASS",
      "precision_bits": [
        256,
        384
      ],
      "groups": {
        "ns68": {
          "precision_enclosure_matches": 74,
          "doubled_cutoff_matches": 0,
          "source_sha256": "dfe0a811764274e81cd38b5eac5c5180d262576b46f1b6a97fb3c52cde33b3ee"
        },
        "ns69": {
          "precision_enclosure_matches": 192,
          "doubled_cutoff_matches": 48,
          "source_sha256": "1ad4e3ac9d520d0b775b1ea966bba4e58d80f86364651f75487242f86a6d8b49",
          "minimum_recorded_accuracy_bits": 77
        },
        "ns70": {
          "precision_enclosure_matches": 34,
          "doubled_cutoff_matches": 34,
          "source_sha256": "2049d3b85986d462d0c0297739144caa917bde3bb83769b526c6a550df8bfc60",
          "minimum_recorded_accuracy_bits": 130
        }
      }
    },
    "ns71": {
      "status": "PASS",
      "precision_bits": [
        256,
        384
      ],
      "precision_enclosure_matches": 115,
      "doubled_cutoff_matches": 23,
      "independent_NS69_overlap_matches": 16,
      "minimum_accuracy_bits": 88,
      "source_sha256": "de19a5ef5ae6a5eb7f28c72ff0bc1f591f9840e5faec6c721c122611725f604e",
      "kernel_source_sha256": "0f70a98cf11b61054ff1f0ba855c3e5be383eddc95468ac87d5eea51288974c5",
      "largest_block_open_input_values": {
        "N": 256,
        "model_numerator_over_energy": "[0.76685068326211833984434538722 +/- 8.57e-30]",
        "selected_true_model_ratio": "[9.48848423209833083088540950 +/- 6.12e-27]"
      },
      "finite_prediction": "both repaired directions outperform the unmodified correlation at every tested size",
      "cofinal_estimate_obtained": false
    }
  },
  "python_diagnostics": {
    "errors": 0,
    "warnings": 0,
    "scope": "all new scientific Python and the separate canonical diagnostic"
  },
  "html_checks": {
    "balanced_nesting": true,
    "local_links_resolve": true,
    "inline_styles_only": true,
    "browser_visual_review": false,
    "preview": "Use the allowed Codex file preview; local file browser navigation was previously rejected."
  },
  "source_sha256": {
    "ns67/certify_cells.py": "2c4c14202df2e733063c62658f882bd4f7a488008e077b786aabb809c11e6bde",
    "ns67/check_gram.py": "6c9406b8a404377f13d693adf5f2145f9031f75937e1523216f12e148c33c256",
    "ns67/exact-checks.mac": "ab6fef3010b0d6fc089b4647bfcc5b39f8668452c52c87f71aa39d8c1a461fa7",
    "ns67/proof.tex": "3e9b0e4359a37d983a460c453964181db818f235045e21fc01ff65e336f7ec32",
    "ns67/verify_replays.py": "3d9649ad92443a456f99b4947c83f64be867e3123721ad296f42e44f84b2c279",
    "ns68/certify_renewal.py": "dfe0a811764274e81cd38b5eac5c5180d262576b46f1b6a97fb3c52cde33b3ee",
    "ns68/exact-checks.mac": "4cfe9076c59306ce443416a481a57e49d90cb9180ae93b4f5bb44f31e311574a",
    "ns68/proof.tex": "5e9d068933ade69f1b036522bd9deee1116ccd4304beb37880613033f70de57c",
    "ns69/certify_endpoint.py": "1ad4e3ac9d520d0b775b1ea966bba4e58d80f86364651f75487242f86a6d8b49",
    "ns69/exact-checks.mac": "d23ad4dabf90e5c8c7c7e9b1317dfcba7c2e105d5ae8e46c262bfd92ea8eff26",
    "ns69/proof.tex": "96306bf4a94e47067e7a16857db1ff3e1353392756cf86298d1a6a76ebc351fc",
    "ns70/certify_background.py": "2049d3b85986d462d0c0297739144caa917bde3bb83769b526c6a550df8bfc60",
    "ns70/exact-checks.mac": "588623fda95257180913c1752d1698220c5aeca22ebf9f6f23dd6c256588c207",
    "ns70/proof.tex": "fb98b07eb310e5f3987baae55fbfde41476ce957d3e6a0914e9fc49460614599",
    "ns71/certify_preconditioner.py": "de19a5ef5ae6a5eb7f28c72ff0bc1f591f9840e5faec6c721c122611725f604e",
    "ns71/exact-checks.mac": "86e66226a26d77cf72151882322c6eef19f1cd911c4707fe4209cbb1da41ca21",
    "ns71/proof.tex": "cf02071d20c5db2f4b529d866e8d938a7957edfbe5debb83dc4aeef0851f4c40",
    "ns71/verify_replays.py": "5cd76496c3efd266ddb35a32ad202ff9ba155c44c5eb61d65d988a68b398bb5a",
    "proof.tex": "f58a7dc2dfc2a789d1f384341996b5aa62362099c078cc826a722e0e77b95029",
    "verify_replays.py": "8fa117807aee145de288e9c115d9fe04156d7d45ee40ac6534c313e67c7a7f78"
  },
  "independent_review": false,
  "publication_authorization": "User requested making PRs, then explicitly allowed the merge/tag workflow after the approval-review block was explained.",
  "open_inputs": [
    "Selected model numerator lower bound and true-energy upper cost yielding a nonsummable cofinal contraction",
    "Internal signed canonical cancellation sufficient for subpolynomial norm growth or a bounded cofinal subsequence",
    "Original arithmetic uniform Weil floor, API, G2 and RH"
  ],
  "limits": [
    "All-coefficient kernel exclusions do not exclude the actual optimized residual direction",
    "Critical weighted total-energy divergence is not divergence of the canonical norm",
    "97.06% is a fraction of finite block improvement, not removal of 97.06% of the entire error",
    "No finite table provides a cofinal arithmetic estimate"
  ],
  "raw_log_whitespace": "Preserved as produced; source-only whitespace checks are separate."
}
