{"id": "c957", "title": "C957 — Slack and reduction field", "filename": "C957.md", "role": "Research action", "step": 957, "sha256": "618b91b5e20215cc60bc7c333c85310770e2bb447e850cc05bc84a91ca8bbdad", "bytes": 1203, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C957"], "download": "/sources/618b91b5e20215cc60bc7c333c85310770e2bb447e850cc05bc84a91ca8bbdad.md", "format": "md", "derived": true, "tags": [], "excerpt": "What distinguishes strict clipping from remaining below the capacity?", "content": "# C957 — Slack and reduction field\n\n## Question\n\nWhat distinguishes strict clipping from remaining below the capacity?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C953\",\n  \"C955\",\n  \"C956\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:46:46.269766+00:00\n\n## Results\n\n```json\n{\n  \"field\": {\n    \"path\": \"model/sp_cap_slack.json\",\n    \"sha256\": \"57876486c0201cea008f670ad72e3d50c4cd877d40ba39b1cf38188095e06bc7\",\n    \"bytes\": 183\n  },\n  \"slack\": [\n    377,\n    265,\n    167,\n    72,\n    17,\n    0,\n    420,\n    0,\n    0\n  ],\n  \"reductions\": [\n    0,\n    0,\n    0,\n    0,\n    0,\n    115,\n    0,\n    249,\n    124\n  ],\n  \"total_reduction\": 488\n}\n```\n\n## Finding\n\nSix lives remain below capacity, with Mahalalel the nearest unchanged row at17. Three positive reductions account for the entire488 pre-Noah difference.\n\n## Reassessment\n\nEstablish whether the minimum rule has a precise extremal meaning.\n\n## Checks\n\n```json\n{\n  \"slack\": true,\n  \"reductions\": true,\n  \"nonnegative\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:46:46.270270+00:00\n\n## Record provenance\n\nExact record hash: `b36ddb49c58cb7c7971746db5f4ebb9f135409452f832d6c2949651463e1ad3b`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-57876486c0201cea", "title": "model/sp_cap_slack.json"}]}