{"id": "c1308", "title": "C1308 — Register anchored composition with its integer-stage restriction", "filename": "C1308.md", "role": "Research action", "step": 1308, "sha256": "0647a658bc2b01e7f8321197d8c74f8586634e1039bde7dc93807022afe75b2d", "bytes": 1218, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1308"], "download": "/sources/0647a658bc2b01e7f8321197d8c74f8586634e1039bde7dc93807022afe75b2d.md", "format": "md", "derived": true, "tags": [], "excerpt": "Why can exactaffineformulas compose whileanintegervaluedchronologyroutefails?", "content": "# C1308 — Register anchored composition with its integer-stage restriction\n\n## Question\n\nWhy can exactaffineformulas compose whileanintegervaluedchronologyroutefails?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1307\",\n  \"inherited/model/fixed_pivot_key_domains.json\",\n  \"inherited/model/key_constraint_inputs.json\"\n]\n```\n\n## Opened utc\n\n2026-09-28T06:12:23.521374+00:00\n\n## Results\n\n```json\n{\n  \"affine_grid_relation\": {\n    \"path\": \"model/relation_affine_grid_domains.json\",\n    \"sha256\": \"99bb3e4f0350677d6ba82dc8f15f381d7c78ebc4822e14412e2ce912230bde8b\",\n    \"bytes\": 756\n  }\n}\n```\n\n## Finding\n\nTheanchoredmaps composeexactly over rationalcoordinates, butthefixed14006→4836 J-to-P routehas nointegerstage-domain: itssecondspan remains2mod3. Thisexplains whygriddomain belongsin theoperationrecord.\n\n## Reassessment\n\nRegister thecriterion forreflectionto pass througha sourcegrouping.\n\n## Checks\n\n```json\n{\n  \"gap9170\": true,\n  \"mod3\": true,\n  \"inherited_agrees\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T06:12:23.521844+00:00\n\n## Record provenance\n\nExact record hash: `ba586c3e3b2e32568220f33d02cf17816e5c5b3659be20eb4d64229a8c63874b`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-99bb3e4f0350677d", "title": "model/relation_affine_grid_domains.json"}, {"id": "d-9eb556b1e69ffbff", "title": "inherited/model/fixed_pivot_key_domains.json"}, {"id": "d-1064b340647501b6", "title": "inherited/model/key_constraint_inputs.json"}]}