{"id": "c977", "title": "C977 — Local counting paths preserve capacity", "filename": "C977.md", "role": "Research action", "step": 977, "sha256": "9a1d7bbee013e23dddae6224d45d481c9182807f5c444188b49db66c7a4ca156", "bytes": 1187, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C977"], "download": "/sources/9a1d7bbee013e23dddae6224d45d481c9182807f5c444188b49db66c7a4ca156.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "Do the three admitted Noah/Shem paths share the ancestral Flood distance?", "content": "# C977 — Local counting paths preserve capacity\n\n## Question\n\nDo the three admitted Noah/Shem paths share the ancestral Flood distance?\n\n## Inputs\n\n```json\n{\n  \"paths\": [\n    [\n      52,\n      500,\n      100\n    ],\n    [\n      53,\n      499,\n      100\n    ],\n    [\n      53,\n      500,\n      99\n    ]\n  ],\n  \"Lamech_birth\": 3545\n}\n```\n\n## Sources\n\n```json\n[\n  \"File18 §3.1.2\",\n  \"C976\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:50:38.163313+00:00\n\n## Results\n\n```json\n{\n  \"completed_path_lengths\": [\n    652,\n    652,\n    652\n  ],\n  \"Flood_starts\": [\n    2893,\n    2893,\n    2893\n  ],\n  \"Lamech_inclusive_capacity\": [\n    653,\n    653,\n    653\n  ]\n}\n```\n\n## Finding\n\nAll three source-qualified local paths preserve the652 completed distance and653 inclusive capacity. Noah/Shem station choices do not move the ancestral births.\n\n## Reassessment\n\nApply nearest-five rounding to resolved count values.\n\n## Checks\n\n```json\n{\n  \"same_path\": true,\n  \"same_boundary\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:50:38.163526+00:00\n\n## Record provenance\n\nExact record hash: `f1c631462682752fffd70a94527bd6e7349ccd9ccbf15962e514ea370807f734`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}]}