{"id": "c843", "title": "C843 — Build the complete Esau joint-category table", "filename": "C843.md", "role": "Research action", "step": 843, "sha256": "40126359bb9dea882153f488e89be6f93ff3241b40e3fa85b8d1ae6b4062e45e", "bytes": 1219, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C843"], "download": "/sources/40126359bb9dea882153f488e89be6f93ff3241b40e3fa85b8d1ae6b4062e45e.md", "format": "md", "derived": true, "tags": [], "excerpt": "What cell structure lies beneath the equal490/60 marginals?", "content": "# C843 — Build the complete Esau joint-category table\n\n## Question\n\nWhat cell structure lies beneath the equal490/60 marginals?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File58 §13.1 nine printed rows\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:33:12.614390+00:00\n\n## Results\n\n```json\n{\n  \"joint_table\": {\n    \"path\": \"model/Esau_joint_measurements.json\",\n    \"sha256\": \"74bd41362ddc19e287e21419635e918f8fa091f10f6f059baf43cab8a13a8fbf\",\n    \"bytes\": 1169\n  },\n  \"joint_clean_unclean_by_female_male\": [\n    [\n      440,\n      50\n    ],\n    [\n      50,\n      10\n    ]\n  ],\n  \"purity_totals\": [\n    490,\n    60\n  ],\n  \"sex_totals\": [\n    490,\n    60\n  ]\n}\n```\n\n## Finding\n\nThe complete joint table is[[440,50],[50,10]]. Equal490/60 marginals arise because the two off-diagonal cells agree, while purity and sex remain different classifications.\n\n## Reassessment\n\nIdentify the exact constraint and freedom behind that equality.\n\n## Checks\n\n```json\n{\n  \"joint\": true,\n  \"both_marginals\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:33:12.614841+00:00\n\n## Record provenance\n\nExact record hash: `17ea4356b3fd922b1024d65d878e824ac844671c52e9fbf6f062102e140f730b`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-74bd41362ddc19e2", "title": "model/Esau_joint_measurements.json"}, {"id": "d-924db415dff003d2", "title": "File 58"}]}