{"id": "c882", "title": "C882 — Isolate the partial-action order asymmetry", "filename": "C882.md", "role": "Research action", "step": 882, "sha256": "f2d3b0c5674d4b888d5c09fa0c3200a3ad18eb7fa75b2f1487e71f659be95d73", "bytes": 1196, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C882"], "download": "/sources/f2d3b0c5674d4b888d5c09fa0c3200a3ad18eb7fa75b2f1487e71f659be95d73.md", "format": "md", "derived": true, "tags": [], "excerpt": "Can equal scalar endpoints conceal different intermediate grids?", "content": "# C882 — Isolate the partial-action order asymmetry\n\n## Question\n\nCan equal scalar endpoints conceal different intermediate grids?\n\n## Inputs\n\n```json\n{\n  \"forced_input\": 6877\n}\n```\n\n## Sources\n\n```json\n[\n  \"C881 P/J domains\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:48:45.917780+00:00\n\n## Results\n\n```json\n{\n  \"J_then_P\": [\n    6877,\n    6900,\n    7000\n  ],\n  \"P_then_J\": [\n    6877,\n    \"20930/3\",\n    7000\n  ],\n  \"artifact\": {\n    \"path\": \"model/PJ_order_witness.json\",\n    \"sha256\": \"f1644a7da917c0ef52021aa12b1875a3ef07a331da682dbed989250b1edf6a0e\",\n    \"bytes\": 170\n  }\n}\n```\n\n## Finding\n\n6877→6900→7000 stays integral under J→P;6877→20930/3→7000 under P→J has a fractional intermediate. The same final number therefore does not identify the same staged integer-grid route.\n\n## Reassessment\n\nCheck source-authorized File51a chains against the new theorem.\n\n## Checks\n\n```json\n{\n  \"same_final\": true,\n  \"distinct_intermediate\": true,\n  \"minimal_domain\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:48:45.918282+00:00\n\n## Record provenance\n\nExact record hash: `d1e09b98171dce299745d28097034673f20c1ffb2ce73ef273e5053220fdd28b`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-f1644a7da917c0ef", "title": "model/PJ_order_witness.json"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}