{"id": "c546", "title": "C546 — The3430 leg links the Covenant and rounded studies", "filename": "C546.md", "role": "Research action", "step": 546, "sha256": "2acabbc45ad7247947acddee6f4eb81bf0b13fe967d8cf07074906d82f910de8", "bytes": 1543, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C546"], "download": "/sources/2acabbc45ad7247947acddee6f4eb81bf0b13fe967d8cf07074906d82f910de8.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded", "Inverse", "Covenant"], "excerpt": "Can the shared3430 duration be reconstructed from the cumulative lifespan trunk?", "content": "# C546 — The3430 leg links the Covenant and rounded studies\n\n## Question\n\nCan the shared3430 duration be reconstructed from the cumulative lifespan trunk?\n\n## Inputs\n\n```json\n{\n  \"upper_Actual_Flood\": 4836,\n  \"Actual_cumulative_Abraham\": 2435,\n  \"Conquest\": 1406,\n  \"lifespans\": [\n    175,\n    180,\n    147,\n    137,\n    133,\n    137,\n    120\n  ],\n  \"Rounded_Flood_label\": 4836\n}\n```\n\n## Sources\n\n```json\n[\n  \"File60 §9.5; File51a §16.2; File52c §3.3\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:04:54.334242+00:00\n\n## Results\n\n```json\n{\n  \"lifespan_sum\": 1029,\n  \"outer_partition\": [\n    2401,\n    1029\n  ],\n  \"total\": 3430,\n  \"factorizations\": [\n    \"2401=49²\",\n    \"1029=7×147\",\n    \"3430=70×49\"\n  ],\n  \"shared_label_note\": \"Actual upper-envelope Flood and Rounded Moses-line Flood share4836; they remain distinct source states\"\n}\n```\n\n## Finding\n\nThe1029 lower leg is regenerated by the seven lifespans; together with the supplied upper2401 it gives3430. This explains a source-level interface with the rounded primary path’s unchanged3430 leg. It does not license inserting Actual Abraham as a new rounded reversal breakpoint.\n\n## Reassessment\n\nReconstruct the repeated270 Levitical windows before examining their census comparison.\n\n## Checks\n\n```json\n{\n  \"lifespans\": true,\n  \"partition\": true,\n  \"total\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:04:54.334412+00:00\n\n## Record provenance\n\nExact record hash: `3458175c77199db5f24672fcab7d489fa51a1cbc5e161c710b618d4caa4fac88`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}, {"id": "d-12a48221b7fdcdcd", "title": "File 60"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}