{"id": "c1226", "title": "C1226 — Close the source-to-Key rectangle", "filename": "C1226.md", "role": "Research action", "step": 1226, "sha256": "cf7301592036a86ec0fd115bd18c73c0ff7e4cff1a2c82017f6e527fc0b09c86", "bytes": 1199, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1226"], "download": "/sources/cf7301592036a86ec0fd115bd18c73c0ff7e4cff1a2c82017f6e527fc0b09c86.md", "format": "md", "derived": true, "tags": [], "excerpt": "Do the two source-generated radii produce the same40-year gain?", "content": "# C1226 — Close the source-to-Key rectangle\n\n## Question\n\nDo the two source-generated radii produce the same40-year gain?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1224\",\n  \"C1225\",\n  \"Strategy §4.3\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:33:46.553257+00:00\n\n## Results\n\n```json\n{\n  \"rectangle\": {\n    \"path\": \"model/SP_rectangle_source_to_keys.json\",\n    \"sha256\": \"2915b2ba9d1a46ccd7d9d007050f8822558866bd9ac4f478d7e5a612fd262477\",\n    \"bytes\": 444\n  },\n  \"gains\": [\n    40,\n    40\n  ],\n  \"gap\": 9200\n}\n```\n\n## Finding\n\nThe reconstructed inputs give the established40/40 gains to Conquest1406, preserving9200, whose25/23 expansion is10000. The advance is the genealogy-to-cap-to-Key explanation, not another independent occurrence of those numbers.\n\n## Reassessment\n\nDetermine which supplied placements are essential to the equal-gain equality.\n\n## Checks\n\n```json\n{\n  \"gains40\": true,\n  \"same_target\": true,\n  \"gap9200\": true,\n  \"expanded10000\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:33:46.553745+00:00\n\n## Record provenance\n\nExact record hash: `3dd7ca3b747f0a73d39da7ea3dca814fa4160e517c5c9a0b915f7bc6a5fbc49a`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-2915b2ba9d1a46cc", "title": "model/SP_rectangle_source_to_keys.json"}]}