{"id": "c834", "title": "C834 — Reconstruct a complete Sukkot species-by-day matrix", "filename": "C834.md", "role": "Research action", "step": 834, "sha256": "3fcbc33bb410accb987f2e27310e9f4d707623e5947cf5a8843a996d4b2a4d39", "bytes": 1938, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C834"], "download": "/sources/3fcbc33bb410accb987f2e27310e9f4d707623e5947cf5a8843a996d4b2a4d39.md", "format": "md", "derived": true, "tags": [], "excerpt": "Can the seven day totals be generated by one declining component and three constant components?", "content": "# C834 — Reconstruct a complete Sukkot species-by-day matrix\n\n## Question\n\nCan the seven day totals be generated by one declining component and three constant components?\n\n## Inputs\n\n```json\n{\n  \"uniform_daily_rams_lambs_goats\": [\n    2,\n    14,\n    1\n  ],\n  \"status\": \"declared allocation reconstruction; marginal totals alone do not imply uniformity\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"File58 §§3.1–3.2,7.1\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:30:03.837085+00:00\n\n## Results\n\n```json\n{\n  \"matrix\": {\n    \"path\": \"model/Sukkot_matrix.json\",\n    \"sha256\": \"2dd0f49ee2c98a58d388b4eb25ad26956588342e8058e1f8517abb1f9e4204a4\",\n    \"bytes\": 642\n  },\n  \"species\": [\n    \"bulls\",\n    \"rams\",\n    \"lambs\",\n    \"goats\"\n  ],\n  \"day_rows\": [\n    [\n      13,\n      2,\n      14,\n      1\n    ],\n    [\n      12,\n      2,\n      14,\n      1\n    ],\n    [\n      11,\n      2,\n      14,\n      1\n    ],\n    [\n      10,\n      2,\n      14,\n      1\n    ],\n    [\n      9,\n      2,\n      14,\n      1\n    ],\n    [\n      8,\n      2,\n      14,\n      1\n    ],\n    [\n      7,\n      2,\n      14,\n      1\n    ]\n  ],\n  \"day_totals\": [\n    30,\n    29,\n    28,\n    27,\n    26,\n    25,\n    24\n  ],\n  \"column_totals\": [\n    70,\n    14,\n    98,\n    7\n  ],\n  \"rank\": 2,\n  \"generator\": \"row_d=(14−d,2,14,1), d=1…7\"\n}\n```\n\n## Finding\n\nThe declared daily allocation has a rank-two generator: only the bull component changes. It recovers all seven totals and the complete189 species ledger. The uniform component allocation remains an input, not a deduction from margins alone.\n\n## Reassessment\n\nRecover the whole Tishri category/species table as a linear measurement object.\n\n## Checks\n\n```json\n{\n  \"cols\": true,\n  \"row_totals\": true,\n  \"rank2\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:30:21.953840+00:00\n\n## Record provenance\n\nExact record hash: `8d2a929e87d6dc48fb25a9f69da256147810ea4fb53885ae06a57190eff68ccd`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-2dd0f49ee2c98a58", "title": "model/Sukkot_matrix.json"}, {"id": "d-924db415dff003d2", "title": "File 58"}]}