{"id": "c570", "title": "C570 — Derive the Jubilee allocation identity", "filename": "C570.md", "role": "Research action", "step": 570, "sha256": "926b2699b6c24bba10aedd3a1065666f678e1b346b7a933352085e016ff6b4d3", "bytes": 1150, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C570"], "download": "/sources/926b2699b6c24bba10aedd3a1065666f678e1b346b7a933352085e016ff6b4d3.md", "format": "md", "derived": true, "tags": [], "excerpt": "Does J admit the same allocation explanation on the source12558 path?", "content": "# C570 — Derive the Jubilee allocation identity\n\n## Question\n\nDoes J admit the same allocation explanation on the source12558 path?\n\n## Inputs\n\n```json\n{\n  \"E\": \"25/23\",\n  \"J\": \"300/299\",\n  \"path\": [\n    14004,\n    1929,\n    1446\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"File63 §§7.3–7.4,9.7; algebraic generalization\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:16:39.169471+00:00\n\n## Results\n\n```json\n{\n  \"fraction\": \"1/26\",\n  \"partition\": [\n    12075,\n    483\n  ],\n  \"carrier_counts\": [\n    25,\n    1\n  ],\n  \"partial_E\": 12600,\n  \"whole_J\": 12600\n}\n```\n\n## Finding\n\nJ is the total-span effect of E allocated to one26th. The source path14004→1929→1446 already supplies25×483+483, so expanding its final carrier gives12600 without a fitted breakpoint.\n\n## Reassessment\n\nCheck whether equal totals make these complete chronological maps identical.\n\n## Checks\n\n```json\n{\n  \"fraction\": true,\n  \"source_split\": true,\n  \"dual\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:16:39.169722+00:00\n\n## Record provenance\n\nExact record hash: `6880d94e26a5c15e308c035576eec497d0c7fc1561e9658b2652ea9cc1f9d9c2`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-180803601a2db301", "title": "File 63"}]}