{"id": "c1148", "title": "C1148 — Express the clipped rows in begetting and remainder coordinates", "filename": "C1148.md", "role": "Research action", "step": 1148, "sha256": "ad2744aab6aa133225b622979ebbe9be047cc17dab79b947b74a270b3cb8c6c9", "bytes": 1286, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1148"], "download": "/sources/ad2744aab6aa133225b622979ebbe9be047cc17dab79b947b74a270b3cb8c6c9.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "How do the three SP lifespan changes split between birth intervals and remaining years?", "content": "# C1148 — Express the clipped rows in begetting and remainder coordinates\n\n## Question\n\nHow do the three SP lifespan changes split between birth intervals and remaining years?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File18 §§2.1.3,3.1\",\n  \"C1143\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:02:55.001486+00:00\n\n## Results\n\n```json\n{\n  \"clipped_row_decomposition\": {\n    \"path\": \"model/SP_clipped_row_decomposition.json\",\n    \"sha256\": \"ec2429915a537f5878593c1d589d17cbcc927e5285357521d3a43bfad7a7e0db\",\n    \"bytes\": 684\n  },\n  \"MT_remainders\": [\n    800,\n    782,\n    595\n  ],\n  \"SP_algebraic_remainders\": [\n    785,\n    653,\n    601\n  ]\n}\n```\n\n## Finding\n\nThe changes split as Jared−100/−15, Methuselah−120/−129 and Lamech−130/−124 in begetting/remainder coordinates. Both components can change when life is clipped, unlike a conserved-lifespan repartition.\n\n## Reassessment\n\nAsk which shared Flood-boundary relations survive this change of row coordinates.\n\n## Checks\n\n```json\n{\n  \"row_identity\": true,\n  \"remaining_counts\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:02:55.001984+00:00\n\n## Record provenance\n\nExact record hash: `f9d63eae7e0a11f77170e6ca8df64adfd119bb5792702e8dc1fb87592bd12053`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-ec2429915a537f58", "title": "model/SP_clipped_row_decomposition.json"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}]}