{"id": "c981", "title": "C981 — Cap support explains the rounding residual", "filename": "C981.md", "role": "Research action", "step": 981, "sha256": "57a0c22fccd360ca4844412dca6d6ac24845c9e15978df3d46628707c6b47a3e", "bytes": 1056, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C981"], "download": "/sources/57a0c22fccd360ca4844412dca6d6ac24845c9e15978df3d46628707c6b47a3e.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded"], "excerpt": "Where does the inherited SP rounding difference of+3 arise?", "content": "# C981 — Cap support explains the rounding residual\n\n## Question\n\nWhere does the inherited SP rounding difference of+3 arise?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C953\",\n  \"C956\",\n  \"C978\",\n  \"C749–C770\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:51:29.726627+00:00\n\n## Results\n\n```json\n{\n  \"residual_difference_by_row\": [\n    0,\n    0,\n    0,\n    0,\n    0,\n    0,\n    0,\n    -1,\n    4\n  ],\n  \"total_residual_difference\": 3,\n  \"cumulative_total_comparison\": [\n    -608,\n    -605\n  ]\n}\n```\n\n## Finding\n\nThe changed rows contribute0,−1,+4, yielding the established+3 residual difference. The cap now explains its support;−608→−605 remains a dependent total.\n\n## Reassessment\n\nClassify the cap’s information loss alongside invertible frame changes.\n\n## Checks\n\n```json\n{\n  \"support_values\": true,\n  \"total\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:51:29.726926+00:00\n\n## Record provenance\n\nExact record hash: `2ce3085533901c1458691deaff57ccfae76c512330e8cbac015bd998e5387885`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}