{"id": "c763", "title": "C763 — Separate SP rounding from terminal branch selection", "filename": "C763.md", "role": "Research action", "step": 763, "sha256": "40565137e5b70b0a045f560cebd79f33a30c05d253d62a7c33770cd92738781a", "bytes": 1402, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C763"], "download": "/sources/40565137e5b70b0a045f560cebd79f33a30c05d253d62a7c33770cd92738781a.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded"], "excerpt": "Can the Strategy13406 head be reconstructed by explicit typed increments?", "content": "# C763 — Separate SP rounding from terminal branch selection\n\n## Question\n\nCan the Strategy13406 head be reconstructed by explicit typed increments?\n\n## Inputs\n\n```json\n{\n  \"SP_lower_actual\": 13396,\n  \"Moses_center\": 13398,\n  \"rounded_Moses\": 13401,\n  \"rounded_Aaron_increment\": 5\n}\n```\n\n## Sources\n\n```json\n[\n  \"File51a §16.2 Aaron variant; Strategy cumulative SP/J rectangle; C757\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:56:44.219720+00:00\n\n## Results\n\n```json\n{\n  \"chain\": [\n    13396,\n    13398,\n    13401,\n    13406\n  ],\n  \"increments\": [\n    2,\n    3,\n    5\n  ],\n  \"status\": \"conditional cross-tradition application of the source rounding/branch rules\",\n  \"distinction\": \"rounded Aaron125-minus-Moses120 is not exact Actual Tishri phase+3.5\"\n}\n```\n\n## Finding\n\nThe Strategy head13406 has a transparent conditional reconstruction: +2 endpoint selection, +3 SP row-rounding residual, +5 rounded Aaron branch. The arithmetic explains the supplied+10 without proving that derivation was intended.\n\n## Reassessment\n\nCheck the complete SP/J rectangle with this head and label its generated status.\n\n## Checks\n\n```json\n{\n  \"decomposition\": true,\n  \"branch\": true,\n  \"total\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:56:44.220329+00:00\n\n## Record provenance\n\nExact record hash: `b897753ebcc8c78e32f8324286bccae8ac5d49efd0f769fc6d71723814e7334d`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}