{"id": "c1225", "title": "C1225 — Derive the Cumulative rectangle radius from the cap", "filename": "C1225.md", "role": "Research action", "step": 1225, "sha256": "3f04ecf226b222dfb021f3244c84462ed89f771f4e2b005ab464754264b78c41", "bytes": 1220, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1225"], "download": "/sources/3f04ecf226b222dfb021f3244c84462ed89f771f4e2b005ab464754264b78c41.md", "format": "md", "derived": true, "tags": ["Cumulative"], "excerpt": "Can the new cap mechanism explain the Cumulative11960 input?", "content": "# C1225 — Derive the Cumulative rectangle radius from the cap\n\n## Question\n\nCan the new cap mechanism explain the Cumulative11960 input?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1223\",\n  \"C1143\",\n  \"C1157\",\n  \"File22 Actual14004\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:33:44.607605+00:00\n\n## Results\n\n```json\n{\n  \"cumulative_provenance\": {\n    \"path\": \"model/SP_rectangle_cumulative_provenance.json\",\n    \"sha256\": \"b4e710d1dcc79ad4e3027ef0ccb10ff8072422c99e855b58b9a6643bcd2ee467\",\n    \"bytes\": 361\n  },\n  \"radius\": 11960\n}\n```\n\n## Finding\n\nThe Cumulative input11960 is now traced through the cap-generated488 and the separate Eber/Terah120 reduction, followed by its supplied decade opening. This explains the source mechanism behind the existing endpoint.\n\n## Reassessment\n\nApply the established Keys to the two fully sourced radii and classify what is new.\n\n## Checks\n\n```json\n{\n  \"loss608\": true,\n  \"completion13396\": true,\n  \"opening13406\": true,\n  \"radius11960\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:33:44.607968+00:00\n\n## Record provenance\n\nExact record hash: `86a251d0431823777a829fa6e51dd259b35589a20e2d3e88baf66c315d538dab`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-b4e710d1dcc79ad4", "title": "model/SP_rectangle_cumulative_provenance.json"}, {"id": "d-1c77fd504afbf59b", "title": "File 22"}]}