{"id": "c999", "title": "C999 — Complete fixed-pivot Key-pair field", "filename": "C999.md", "role": "Research action", "step": 999, "sha256": "092b0178f3396d22e283b60bd595c6920e0c8477b76e6cb8ee74bdd224d44638", "bytes": 1170, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C999"], "download": "/sources/092b0178f3396d22e283b60bd595c6920e0c8477b76e6cb8ee74bdd224d44638.md", "format": "md", "derived": true, "tags": [], "excerpt": "Which of the nine fixed E/P/J pairs have an integral staged domain?", "content": "# C999 — Complete fixed-pivot Key-pair field\n\n## Question\n\nWhich of the nine fixed E/P/J pairs have an integral staged domain?\n\n## Inputs\n\n```json\n{\n  \"pivots\": [\n    14006,\n    4836\n  ],\n  \"status\": \"diagnostic compositions; not nine newly authorized routes\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"C998\",\n  \"File46\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:55:09.466517+00:00\n\n## Results\n\n```json\n{\n  \"complete_field\": {\n    \"path\": \"model/fixed_pivot_key_domains.json\",\n    \"sha256\": \"9eb556b1e69ffbff221d7a8fc0350f27653c0ae076bb1a77a0e643bc01f3d327\",\n    \"bytes\": 940\n  },\n  \"empty_pairs\": [\n    \"J→P\"\n  ]\n}\n```\n\n## Finding\n\nEight fixed-pivot pairs have one residue-class domain. J→P alone has no all-stage integer input under these pivots. Representatives are congruence labels, not event dates.\n\n## Reassessment\n\nVerify every nonempty class and explain the single obstruction.\n\n## Checks\n\n```json\n{\n  \"nine_pairs\": true,\n  \"only_obstruction\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:55:09.466952+00:00\n\n## Record provenance\n\nExact record hash: `6f992b301ba80a26752f26973613cbaabb9366ede87f00785bff8c41edea7352`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-9eb556b1e69ffbff", "title": "model/fixed_pivot_key_domains.json"}, {"id": "d-18e8c54ff1663fb1", "title": "File 46"}]}