{"id": "c1045", "title": "C1045 — Residual source freedoms", "filename": "C1045.md", "role": "Research action", "step": 1045, "sha256": "5cdcb9c8e03a93e975b1a315c2e4da81ffcf5a759401e10894f74595ffdd8882", "bytes": 1831, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1045"], "download": "/sources/5cdcb9c8e03a93e975b1a315c2e4da81ffcf5a759401e10894f74595ffdd8882.md", "format": "md", "derived": true, "tags": ["Covenant"], "excerpt": "Which biological or household data remain unidentifiable after normalization?", "content": "# C1045 — Residual source freedoms\n\n## Question\n\nWhich biological or household data remain unidentifiable after normalization?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1044\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:05:21.631745+00:00\n\n## Results\n\n```json\n{\n  \"formal_null_directions\": [\n    [\n      0,\n      0,\n      0,\n      0,\n      -1,\n      1,\n      0,\n      0,\n      0,\n      0,\n      0,\n      0,\n      0\n    ],\n    [\n      0,\n      0,\n      -1,\n      -1,\n      1,\n      0,\n      -1,\n      0,\n      1,\n      1,\n      0,\n      0,\n      0\n    ]\n  ],\n  \"node_effects\": [\n    {\n      \"Q\": 0,\n      \"terminal\": 0,\n      \"Ishmael_birth\": 0,\n      \"Isaac_birth\": 0,\n      \"Ishmael_death\": 0,\n      \"Jacob_birth\": 1,\n      \"Jacob_call\": 0,\n      \"Jacob_death\": 1,\n      \"Levi_birth\": 0,\n      \"Levi_death\": 0,\n      \"Joseph_birth\": 0,\n      \"Joseph_death\": 0\n    },\n    {\n      \"Q\": 0,\n      \"terminal\": 0,\n      \"Ishmael_birth\": 1,\n      \"Isaac_birth\": 1,\n      \"Ishmael_death\": 0,\n      \"Jacob_birth\": 0,\n      \"Jacob_call\": 0,\n      \"Jacob_death\": 0,\n      \"Levi_birth\": 1,\n      \"Levi_death\": 0,\n      \"Joseph_birth\": 0,\n      \"Joseph_death\": 0\n    }\n  ],\n  \"status\": \"sensitivity directions only; no new source state\"\n}\n```\n\n## Finding\n\nOne direction exchanges Isaac→Jacob age with Jacob’s call age; another adjusts several source offsets and equal lives together. Both preserve the selected pattern totals while changing local data.\n\n## Reassessment\n\nTest which retained source ages close those remaining freedoms.\n\n## Checks\n\n```json\n{\n  \"both_null\": true,\n  \"independent_directions\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:05:21.633042+00:00\n\n## Record provenance\n\nExact record hash: `aeb76bd8f30ca5d42f83e97d33c7388ad858f27d9f25749ec661e0e8e69f3f16`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}