{"id": "c815", "title": "C815 — Integrate the calendar and shape families by their invariants", "filename": "C815.md", "role": "Research action", "step": 815, "sha256": "d1065be12ca58311363d295295773f47f7be49ab3d62a488235e9339b35105ff", "bytes": 1505, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C815"], "download": "/sources/d1065be12ca58311363d295295773f47f7be49ab3d62a488235e9339b35105ff.md", "format": "md", "derived": true, "tags": ["Calendar Keys"], "excerpt": "Which shared quantities distinguish the existing wider-family connections?", "content": "# C815 — Integrate the calendar and shape families by their invariants\n\n## Question\n\nWhich shared quantities distinguish the existing wider-family connections?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"Strategy; C731 calibration, File70 shape fields\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:11:07.473599+00:00\n\n## Results\n\n```json\n{\n  \"invariants\": {\n    \"path\": \"model/integration_invariants.json\",\n    \"sha256\": \"1069cd8f73a680378b411bfdec42a05e251d3eb30a6a794d0a01fb08e0ef40a5\",\n    \"bytes\": 354\n  },\n  \"calendar_day_volume\": [\n    \"8400/23\",\n    \"8400/23\",\n    \"8400/23\"\n  ],\n  \"ordered_shape\": [\n    [\n      6,\n      1,\n      6,\n      1\n    ],\n    [\n      60,\n      10,\n      60,\n      10\n    ]\n  ],\n  \"weighted_creation_invariant\": [\n    12026,\n    12026\n  ],\n  \"role_rule\": \"equal measures/shapes do not alone identify anchors, phases, or events\"\n}\n```\n\n## Finding\n\nThe larger families join through different invariants: calendar day-volume, ordered shape, and a weighted Creation value. Keeping each invariant named prevents endpoint agreement from being mistaken for one global chronology map.\n\n## Reassessment\n\nBuild the family reconstruction-and-limits table for readers.\n\n## Checks\n\n```json\n{\n  \"calendar_equal\": true,\n  \"shape_scale\": true,\n  \"weighted\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:11:07.474015+00:00\n\n## Record provenance\n\nExact record hash: `34cc02fd93becb294685368ec3a8f38da3e164297b00b329bda200c70e582374`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-1069cd8f73a68037", "title": "model/integration_invariants.json"}, {"id": "d-0fa80217c94b3951", "title": "File 70"}]}