{"id": "c1461", "title": "C1461 — Link the source490 coefficient with preserved610 and the Covenant circuit", "filename": "C1461.md", "role": "Research action", "step": 1461, "sha256": "054a8fcbec10390de074a034e03489b79b16f14f817ff3ad7189a10c52f8cf8e", "bytes": 1148, "origins": ["C480–C1634/Research_Cycles/C1433_C1482/journal.json#C1461"], "download": "/sources/054a8fcbec10390de074a034e03489b79b16f14f817ff3ad7189a10c52f8cf8e.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Inverse", "Covenant"], "excerpt": "How do the local SP cap reductions participate in the three-head comparison?", "content": "# C1461 — Link the source490 coefficient with preserved610 and the Covenant circuit\n\n## Question\n\nHow do the local SP cap reductions participate in the three-head comparison?\n\n## Sources\n\n```json\n[\n  \"C1432 source explanation\",\n  \"MT–SP cumulative preservation\"\n]\n```\n\n## Opened utc\n\n2026-09-29T01:18:32.013181+00:00\n\n## Results\n\n```json\n{\n  \"cap_loss\": 485,\n  \"accepted_Fall\": 5,\n  \"upper_difference\": 490,\n  \"MT_SP_source_Flood_gap\": 120,\n  \"MT_SP_preserved_head_gap\": 610,\n  \"Covenant_head_gain\": 980,\n  \"MT_LXX_regular_inverse_gap\": 1590\n}\n```\n\n## Finding\n\nThe source decomposition610=120+490 and the Covenant gain980=2×490 join the MT/SP head relation to the LXX/SP Key relation. Their1590 total is the same three-head triangle, not extra evidence.\n\n## Reassessment\n\nTest an apparently similar two-Key route while retaining its actual held endpoints.\n\n## Checks\n\n```json\n{\n  \"cap490\": true,\n  \"head_triangle\": true\n}\n```\n\n## Closed utc\n\n2026-09-29T01:18:32.013847+00:00\n\n## Record provenance\n\nExact record hash: `c0f9281ff2603565e685624fa4b79bf0781e21435c3d57db697a0908331c1cce`\n\nSource journal: `Research_Cycles/C1433_C1482/journal.json`", "journalDownload": "/sources/ca542c4d870fa9b9292d3dd24718f08766a5353e1b27cbb1e7c0d69061b00ecf.json"}