{"id": "c651", "title": "C651 — Consolidate the rail and refinement families", "filename": "C651.md", "role": "Research action", "step": 651, "sha256": "d9c993af0a4aaa708064c92b729d1dc6fb5828fbf3d5f7fc6015732820bc45e9", "bytes": 1462, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C651"], "download": "/sources/d9c993af0a4aaa708064c92b729d1dc6fb5828fbf3d5f7fc6015732820bc45e9.md", "format": "md", "derived": true, "tags": ["Cumulative", "Calendar Keys"], "excerpt": "What is the shortest supported explanation after the first20 steps?", "content": "# C651 — Consolidate the rail and refinement families\n\n## Question\n\nWhat is the shortest supported explanation after the first20 steps?\n\n## Inputs\n\n```json\n{\n  \"families\": [\n    \"calendar rails\",\n    \"five-position Creation–Terah refinement\",\n    \"coarse Jacob/Joseph rails\"\n  ],\n  \"scope\": \"source-conditioned geometry\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"C632–C650\",\n  \"Research Strategy\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:05:24.402267+00:00\n\n## Results\n\n```json\n{\n  \"artifact\": {\n    \"path\": \"deliverables/C651_Interim_Synthesis.md\",\n    \"sha256\": \"ff98f9808fb24b7648ba2eeb7f8e0a1a23508c84f34e2dae154bb7f095f750ab\",\n    \"bytes\": 1119\n  },\n  \"completed_range\": [\n    632,\n    651\n  ],\n  \"core_rules\": [\n    \"Dij=T+7(j−i)\",\n    \"R(c,u)=c+u(7,1,0,−6,−7)\",\n    \"T=2366+32760q\"\n  ]\n}\n```\n\n## Finding\n\nTwenty sequential steps now explain two whole-family generators and distinguish their inherited shapes from the source-selected placements. Further scalar boundary searches are lower priority than the prepared reflection and cumulative families.\n\n## Reassessment\n\nReconstruct the source’s Jacob-centered reflection as a complete event-role object.\n\n## Checks\n\n```json\n{\n  \"range\": true,\n  \"calendar\": true,\n  \"refinement\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:05:24.402497+00:00\n\n## Record provenance\n\nExact record hash: `45e5a551cfa6f6c155c1c4932f71c7c08997ccbf79e0d2110994f1269d2d9e77`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json", "evidenceLinks": [{"id": "d-ff98f9808fb24b76", "title": "deliverables/C651_Interim_Synthesis.md"}]}