{"id": "c867", "title": "C867 — Classify P and the complete shared-return fork", "filename": "C867.md", "role": "Research action", "step": 867, "sha256": "199f16e43136f0563a0270f3f5b649da84fcd441c201e3da47fc5faa450b26fe", "bytes": 1496, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C867"], "download": "/sources/199f16e43136f0563a0270f3f5b649da84fcd441c201e3da47fc5faa450b26fe.md", "format": "md", "derived": true, "tags": [], "excerpt": "What singles out the finite Enoch fork without endpoint selection?", "content": "# C867 — Classify P and the complete shared-return fork\n\n## Question\n\nWhat singles out the finite Enoch fork without endpoint selection?\n\n## Inputs\n\n```json\n{\n  \"P\": \"70/69\",\n  \"domain\": \"r=0,...,76\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"C866\",\n  \"File43 display\",\n  \"File54 §6\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:44:37.253638+00:00\n\n## Results\n\n```json\n{\n  \"returns\": [\n    {\n      \"r\": 0,\n      \"image_r\": 0,\n      \"source\": \"Jesus\",\n      \"image\": \"Jesus\",\n      \"source_BC\": 6,\n      \"image_BC\": 6\n    },\n    {\n      \"r\": 69,\n      \"image_r\": 70,\n      \"source\": \"Enoch\",\n      \"image\": \"Jared\",\n      \"source_BC\": 4836,\n      \"image_BC\": 4906\n    }\n  ],\n  \"joint_source_indices\": [\n    0,\n    69\n  ],\n  \"artifact\": {\n    \"path\": \"model/NT_P_returns.json\",\n    \"sha256\": \"57e7e768f128f3bde28682375c60890d81a29710cb6f03a930ac9d45c0306761\",\n    \"bytes\": 255\n  }\n}\n```\n\n## Finding\n\nP returns exactly at multiples of69. On the complete r0–76 domain, Enoch at69 is the only nonzero source returning under both E and P, because lcm(23,69)=69. This is a dependent domain classification, not a probability result.\n\n## Reassessment\n\nTransport the full indexed result to the admitted 36BC rail.\n\n## Checks\n\n```json\n{\n  \"P_domain\": true,\n  \"joint\": true,\n  \"Enoch_to_Jared\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:44:37.254442+00:00\n\n## Record provenance\n\nExact record hash: `7a8edf503220bac4fa6cc2071be672264bd6651a5a7455709612072580b155c4`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-57e7e768f128f3bd", "title": "model/NT_P_returns.json"}, {"id": "d-1ff1914fa180de2a", "title": "File 54"}, {"id": "d-dde4eca7c1f64eae", "title": "File 43"}]}