{"id": "c568", "title": "C568 — Compare the dual490 constructions", "filename": "C568.md", "role": "Research action", "step": 568, "sha256": "43aeb60b458bfb645ab36e5a332c0462987771498e58c065fec9e075a9faa92d", "bytes": 1034, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C568"], "download": "/sources/43aeb60b458bfb645ab36e5a332c0462987771498e58c065fec9e075a9faa92d.md", "format": "md", "derived": true, "tags": ["Calendar Keys"], "excerpt": "Can subset E and whole-span P agree on the source483 partition?", "content": "# C568 — Compare the dual490 constructions\n\n## Question\n\nCan subset E and whole-span P agree on the source483 partition?\n\n## Inputs\n\n```json\n{\n  \"parts\": [\n    \"805/2\",\n    \"161/2\"\n  ],\n  \"total\": 483\n}\n```\n\n## Sources\n\n```json\n[\n  \"File62 §§8.6A–C; File63 §1.3\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:16:09.698873+00:00\n\n## Results\n\n```json\n{\n  \"partial_E\": 490,\n  \"whole_P\": 490,\n  \"whole_E\": 525,\n  \"common_day_volume\": [\n    176400,\n    176400\n  ]\n}\n```\n\n## Finding\n\nExpanding only80.5 by E and all483 by P both give490. Whole-span E gives525; the calendar volumes490×360 and525×336 agree. The duration identity needs no deferred endpoint.\n\n## Reassessment\n\nDerive the general allocation identity that explains this agreement.\n\n## Checks\n\n```json\n{\n  \"dual\": true,\n  \"whole_E\": true,\n  \"volume\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:16:09.699095+00:00\n\n## Record provenance\n\nExact record hash: `ea4e30b4588f1ea584150b1181cdb6701557f7d9e3882bfc13727b92c6b379b0`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-be42daca1d82dac9", "title": "File 62"}, {"id": "d-180803601a2db301", "title": "File 63"}]}