{"id": "c814", "title": "C814 — Integrate the shared12600 completion without identifying paths", "filename": "C814.md", "role": "Research action", "step": 814, "sha256": "10449aecf729869fdf0fe9f47a036789d24f5d28d3678ce571b8cfbdd8ae9bcb", "bytes": 1246, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C814"], "download": "/sources/10449aecf729869fdf0fe9f47a036789d24f5d28d3678ce571b8cfbdd8ae9bcb.md", "format": "md", "derived": true, "tags": ["Rounded", "Calendar Keys"], "excerpt": "Which invariant joins the two established Actual/Rounded completion routes?", "content": "# C814 — Integrate the shared12600 completion without identifying paths\n\n## Question\n\nWhich invariant joins the two established Actual/Rounded completion routes?\n\n## Inputs\n\n```json\n{\n  \"head\": 14004,\n  \"components\": [\n    12075,\n    483\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"C731 retained-core integration; File52c downstream connection\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:10:55.716314+00:00\n\n## Results\n\n```json\n{\n  \"partial_span\": 12600,\n  \"whole_J_span\": 12600,\n  \"partial_junction\": 1929,\n  \"uniform_J_junction\": \"24552/13\",\n  \"common_endpoint\": 1404,\n  \"paired_plus2\": [\n    14006,\n    1406\n  ]\n}\n```\n\n## Finding\n\nThe two routes share12600 and endpoint1404 but have different internal junctions. The+2 paired translation reaches Rounded14006/1406. This is equality of outer measurement, not equality of complete transformed paths.\n\n## Reassessment\n\nState the distinct calendar and shape invariants in the integrated map.\n\n## Checks\n\n```json\n{\n  \"same_total\": true,\n  \"junctions_differ\": true,\n  \"rounded_pair\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:10:55.717260+00:00\n\n## Record provenance\n\nExact record hash: `674d530a422bf8731fca518fab3b7cfa06c65e9251123972bb28cc3454d4d832`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}]}