{"id": "c856", "title": "C856 — Resolve retained-zero cases without changing the operation", "filename": "C856.md", "role": "Research action", "step": 856, "sha256": "9c17138153ead0ff443d49d98bb37a533fccbe3ff19fe19ac82de1f1c3263be6", "bytes": 1494, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C856"], "download": "/sources/9c17138153ead0ff443d49d98bb37a533fccbe3ff19fe19ac82de1f1c3263be6.md", "format": "md", "derived": true, "tags": [], "excerpt": "Do Adam and Jacob follow the same register model?", "content": "# C856 — Resolve retained-zero cases without changing the operation\n\n## Question\n\nDo Adam and Jacob follow the same register model?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C852; latest File52c placeholder rule\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:37:06.899478+00:00\n\n## Results\n\n```json\n{\n  \"retained_zero_cases\": [\n    {\n      \"name\": \"Adam / Creation\",\n      \"n\": 410,\n      \"source_durations\": [\n        4100,\n        2700\n      ],\n      \"placeholder_counts\": [\n        2,\n        2\n      ],\n      \"endpoints\": [\n        1406,\n        8606\n      ],\n      \"delta\": 7200\n    },\n    {\n      \"name\": \"Jacob\",\n      \"n\": 200,\n      \"source_durations\": [\n        2000,\n        600\n      ],\n      \"placeholder_counts\": [\n        3,\n        2\n      ],\n      \"endpoints\": [\n        2006,\n        2006\n      ],\n      \"delta\": 0\n    }\n  ],\n  \"complete_case_partition\": [\n    14,\n    16,\n    2\n  ]\n}\n```\n\n## Finding\n\nAdam’s two-placeholders route gives7200 separation; Jacob’s fully retained2000/600 values give0. The exceptional-looking rows are ordinary cases of the stated zero-place rule.\n\n## Reassessment\n\nTest the full paired-field law and rule out one affine column conversion.\n\n## Checks\n\n```json\n{\n  \"complete\": true,\n  \"cases\": true,\n  \"deltas\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:37:06.899899+00:00\n\n## Record provenance\n\nExact record hash: `58887d72b25d05f7b9fe371da97580cc3e822c24cf41f77d75267c943b90e16b`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}]}