{"id": "c1003", "title": "C1003 — Exact rational field normal form", "filename": "C1003.md", "role": "Research action", "step": 1003, "sha256": "9a5e617d5b5fa0675ce1eb53f039796e2556e1c3586de377202aef98d0734e88", "bytes": 1243, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1003"], "download": "/sources/9a5e617d5b5fa0675ce1eb53f039796e2556e1c3586de377202aef98d0734e88.md", "format": "md", "derived": true, "tags": ["Calendar Keys"], "excerpt": "How can the full File46 head field be retained when some images are nonintegral?", "content": "# C1003 — Exact rational field normal form\n\n## Question\n\nHow can the full File46 head field be retained when some images are nonintegral?\n\n## Inputs\n\n```json\n{\n  \"anchor\": 14006,\n  \"source_mesh\": 10,\n  \"indices\": [\n    92,\n    89,\n    46,\n    43,\n    0\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"File46\",\n  \"C931 technical\",\n  \"C1002\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:55:50.252067+00:00\n\n## Results\n\n```json\n{\n  \"field\": {\n    \"path\": \"model/key_full_field_normal_form.json\",\n    \"sha256\": \"db914a9e5f1a7898a4098a26c534f9d4a527c015aba62d6ba733fb65a3623a57\",\n    \"bytes\": 359\n  },\n  \"image_mesh\": \"250/23\",\n  \"integral_indices\": [\n    92,\n    46,\n    0\n  ]\n}\n```\n\n## Finding\n\nThe entire labelled index pattern survives on the exact mesh250/23. Only indices divisible23 give integer images; keeping fractions preserves the comparison without repairing dates.\n\n## Reassessment\n\nTest the complete componentwise calendar assignment field.\n\n## Checks\n\n```json\n{\n  \"mesh\": true,\n  \"integral_subset\": true,\n  \"source_heads\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:55:50.252551+00:00\n\n## Record provenance\n\nExact record hash: `8d91f201b4244c918a1659327bba48abfd8280eb7fe2cd5703eefed13b352c8d`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-db914a9e5f1a7898", "title": "model/key_full_field_normal_form.json"}, {"id": "d-18e8c54ff1663fb1", "title": "File 46"}]}