{
  "title": "Nonlinear count persistence and multiple-frequency spatial response: scientific provenance",
  "date": "2026-10-18",
  "scope": "Two distinct effective-action classes. Exact source identities distinguish analytic constructions, governing comparisons and accessible executable copies. Assertion totals describe mathematical coverage, not experiment.",
  "standalone_copies": [
    {
      "byte_count": 10079,
      "sha256": "c36735d547816a264d2265c5bc4294059ecffc03605d5afbdf0c113a8f77c1c6",
      "destination_path": "experiments/results/nonlinear-count-persistence-and-response/spatial/checks.py"
    },
    {
      "byte_count": 95479,
      "sha256": "ffdb5031389634e88e8b0df007085c6484bc3797ff6f0b8649547ced98bd1119",
      "destination_path": "experiments/results/nonlinear-count-persistence-and-response/spatial/results-20261018T124450Z.json"
    },
    {
      "byte_count": 9540,
      "sha256": "b98a64dff459c4ba640f0ee73fb8945755cb5fbc5fd1bcce654dea6ff508e0e5",
      "destination_path": "experiments/results/nonlinear-count-persistence-and-response/response/check.py"
    },
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      "sha256": "4747584efcd37fa4d30cabd530714806b1e919eb2d75314cdfe7ac3f10af1571",
      "destination_path": "experiments/results/nonlinear-count-persistence-and-response/response/results.json"
    }
  ],
  "evidence": [
    {
      "family": "nonlinear spatial persistence",
      "original_checks": 6708,
      "independent_checks": 6336,
      "governing_checks": 1883,
      "bounded_addendum_checks": 38,
      "unchanged_principal_replays": [
        6708,
        6336,
        1883,
        38
      ],
      "standalone_copy_checks": 6336,
      "qualification": "Independent executable uses its own sufficient leakage tube; governing moment and cutoff-independent spatial bounds also use the separate governing proof. Phase-rate statement uses NSP-C1, not optional AR8."
    },
    {
      "family": "multiple-frequency response",
      "original_checks": 509,
      "independent_checks": 343,
      "governing_checks": 122,
      "unchanged_principal_replays": [
        509,
        343,
        122
      ],
      "standalone_copy_checks": 343,
      "qualification": "The independent executable covers changed metric and mixed velocity alternatives. Polar-response construction and singular-source witness have distinct original/governing evidence. Physical momentum is A0 Mf zdot; exact protection has the stated geometric-force limit."
    }
  ],
  "scientific_sources": [
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      "sha256": "8f7c08ac771f1bf7de948589b57b03eb4cdd260d8f4d4e47fb5436d8d2b76830",
      "title": "Nonlinear persistence construction"
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      "sha256": "5b285c65084c7c6918fb71a5830098aeb638f6e312da7a464a6f2f9c64303bb8",
      "title": "Nonlinear persistence construction checker"
    },
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      "sha256": "5d15ded415820eddc5f24c0299b6939f99580ecb8e740ee6e0f80add8f347e55",
      "title": "Nonlinear persistence construction results"
    },
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      "byte_count": 3710,
      "sha256": "0db8059c570511d783bf765349d9b55c720ba5a6229c8722efd3007ea7b58719",
      "title": "Nonlinear persistence principal disposition"
    },
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      "sha256": "94b1d7a011c88b821aecf5b4729c61a704dcc4763e78a9518fe4b838fc1657a3",
      "title": "Independent nonlinear persistence proof"
    },
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      "sha256": "c36735d547816a264d2265c5bc4294059ecffc03605d5afbdf0c113a8f77c1c6",
      "title": "Independent nonlinear persistence checker"
    },
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      "byte_count": 95479,
      "sha256": "ffdb5031389634e88e8b0df007085c6484bc3797ff6f0b8649547ced98bd1119",
      "title": "Independent nonlinear persistence results"
    },
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      "byte_count": 17311,
      "sha256": "19e55b8f3b5140a1ff9b17491c488c1f541003cc61e6aa45ae9bdc3505c8547a",
      "title": "Governing nonlinear persistence comparison"
    },
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      "sha256": "27e718165aee51f39f9531e7f718e8a55efc27825449b86be3d1bcb6c41ac10b",
      "title": "Governing nonlinear persistence checker"
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      "sha256": "045c8bec7eb042908f08f0cce69abdbf9df6a0c71c6e826bf5cfdd80df5f6971",
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      "sha256": "7c041596ec1bdd31bcc5c7769d51dac13fa3efff8e8519f78100c2b799cf720a",
      "title": "Bounded localization and phase checker"
    },
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      "byte_count": 260,
      "sha256": "38b2549df86e0a85383d3bcde48f81d17604eda68850ad79477800f2056fb45c",
      "title": "Bounded localization and phase results"
    },
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      "sha256": "47c0aaf2a20dcb9a93fafa2cb80aadea045f7c75506cab27804b393922955537",
      "title": "Multiple-frequency response construction"
    },
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      "byte_count": 8495,
      "sha256": "6867669606e69d8d10fafe960dfa6a7369cf798fbc791f5dc4ec3eca9c211444",
      "title": "Multiple-frequency response construction checker"
    },
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      "byte_count": 28473,
      "sha256": "4dae5506efc8ebaecbb942ff7c09375fae516345b61be341b7511c4c360b3814",
      "title": "Multiple-frequency response construction results"
    },
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      "byte_count": 3234,
      "sha256": "1e368e17d2ebac97b13822970e6b922859ccb7cdaac6af59dac879f9a0ab585c",
      "title": "Multiple-frequency response principal disposition"
    },
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      "byte_count": 25953,
      "sha256": "8a5665899951861836ca3c1eca7f34e081fad7996c0d92fa98f0debea8ccb52c",
      "title": "Independent multiple-frequency response proof"
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      "sha256": "b98a64dff459c4ba640f0ee73fb8945755cb5fbc5fd1bcce654dea6ff508e0e5",
      "title": "Independent multiple-frequency response checker"
    },
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      "sha256": "4747584efcd37fa4d30cabd530714806b1e919eb2d75314cdfe7ac3f10af1571",
      "title": "Independent multiple-frequency response results"
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      "sha256": "13834ea0b7d3d7d3a35df239670f6b85faa72d8582eec762bebb72ebe82a485c",
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      "title": "Governing nonlinear persistence results"
    }
  ],
  "retrieval": "Exact complete proofs, executable sources, results and dispositions are retained by SHA-256 identity in the research catalog."
}