{"id": "c874", "title": "C874 — Classify all one-Key integer and Rounded domains", "filename": "C874.md", "role": "Research action", "step": 874, "sha256": "773a11e9bc2c9b6c00ffec33ad193a5e819fa989959d5d3980fa7b46605ed885", "bytes": 1531, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C874"], "download": "/sources/773a11e9bc2c9b6c00ffec33ad193a5e819fa989959d5d3980fa7b46605ed885.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "How do same-grid conditions differ from merely integral output?", "content": "# C874 — Classify all one-Key integer and Rounded domains\n\n## Question\n\nHow do same-grid conditions differ from merely integral output?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C873\",\n  \"File51a q in5Z\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:46:52.950938+00:00\n\n## Results\n\n```json\n{\n  \"domains\": [\n    {\n      \"key\": \"E\",\n      \"ratio\": \"25/23\",\n      \"integer_generator\": 23,\n      \"five_year_generator\": 115\n    },\n    {\n      \"key\": \"P\",\n      \"ratio\": \"70/69\",\n      \"integer_generator\": 69,\n      \"five_year_generator\": 345\n    },\n    {\n      \"key\": \"J\",\n      \"ratio\": \"300/299\",\n      \"integer_generator\": 299,\n      \"five_year_generator\": 1495\n    }\n  ],\n  \"joint_integer\": 897,\n  \"joint_five_year\": 4485,\n  \"artifact\": {\n    \"path\": \"model/one_key_domains.json\",\n    \"sha256\": \"db9630b099b86ca6a4011d5fdd5af153f007f4a19ee315fc73351c12bd5ead50\",\n    \"bytes\": 431\n  }\n}\n```\n\n## Finding\n\nInteger self-domains are23Z,69Z,299Z; Rounded5Z self-domains are115Z,345Z,1495Z. Their intersections are897Z and4485Z. These intersections concern separate images, not sequential authorization.\n\n## Reassessment\n\nLocate the existing source examples inside these domains without counting them as new discoveries.\n\n## Checks\n\n```json\n{\n  \"joint\": true,\n  \"rounded\": true,\n  \"different_input_domain\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:46:52.951318+00:00\n\n## Record provenance\n\nExact record hash: `1949ec61036c20f1701319ef0adef5addf10dda22c743b8aacdada4b9f759397`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-db9630b099b86ca6", "title": "model/one_key_domains.json"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}