{"id": "c536", "title": "C536 — Equal lives preserve birth and death displacement", "filename": "C536.md", "role": "Research action", "step": 536, "sha256": "de2c3690b454ddf129f407c880afd34fe6f58662b711d99ca62e17eff6df5c26", "bytes": 1209, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C536"], "download": "/sources/de2c3690b454ddf129f407c880afd34fe6f58662b711d99ca62e17eff6df5c26.md", "format": "md", "derived": true, "tags": ["Cumulative", "Inverse", "Covenant"], "excerpt": "Which161 equality is forced by the supplied biographies?", "content": "# C536 — Equal lives preserve birth and death displacement\n\n## Question\n\nWhich161 equality is forced by the supplied biographies?\n\n## Inputs\n\n```json\n{\n  \"Ishmael\": [\n    1865,\n    1728\n  ],\n  \"Levi\": [\n    1704,\n    1567\n  ],\n  \"terminal\": 1406\n}\n```\n\n## Sources\n\n```json\n[\n  \"File60 §§3.1–3.2\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:00:02.228191+00:00\n\n## Results\n\n```json\n{\n  \"lifespans\": [\n    137,\n    137\n  ],\n  \"birth_gap\": 161,\n  \"death_gap\": 161,\n  \"terminal_arm\": 161,\n  \"identity\": \"(B1−L1)−(B2−L2)=(B1−B2)−(L1−L2)\"\n}\n```\n\n## Finding\n\nEqual137-year lives force equal161 birth/death displacement. The further161 from Levi’s death to the terminal is an additional source placement. Separating these two facts avoids treating the biography rectangle as several independent alignments.\n\n## Reassessment\n\nReconstruct the bilateral spine and its expansion with a single held midpoint.\n\n## Checks\n\n```json\n{\n  \"equal_lives\": true,\n  \"gap\": true,\n  \"terminal\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:00:02.228393+00:00\n\n## Record provenance\n\nExact record hash: `142c706a4184de93dfcb4408f1dd102e6f418fcec4b89cad711bb2ccc7be3ec0`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-12a48221b7fdcdcd", "title": "File 60"}]}