{"id": "c1041", "title": "C1041 — Common landing adds one cycle condition", "filename": "C1041.md", "role": "Research action", "step": 1041, "sha256": "e7275b7fb2f1d95cf5b3ae34a3147d2583f7b6b86ea962b2875ff6cd97c8da54", "bytes": 946, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1041"], "download": "/sources/e7275b7fb2f1d95cf5b3ae34a3147d2583f7b6b86ea962b2875ff6cd97c8da54.md", "format": "md", "derived": true, "tags": ["Cumulative", "Covenant"], "excerpt": "Does the common-Key relation add information beyond the same-side Covenant rails?", "content": "# C1041 — Common landing adds one cycle condition\n\n## Question\n\nDoes the common-Key relation add information beyond the same-side Covenant rails?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1038–C1040\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:04:39.604593+00:00\n\n## Results\n\n```json\n{\n  \"rank_first_five\": 5,\n  \"rank_with_Key_cycle\": 6,\n  \"added_constraint\": \"13w=12u\"\n}\n```\n\n## Finding\n\nThe common-Key cycle adds one constraint in the declared variable source model. Introducing its landing coordinate does not create a second independent equality.\n\n## Reassessment\n\nTest how fixed source lifespans alter apparent independence of the radius progression.\n\n## Checks\n\n```json\n{\n  \"one_extra\": true,\n  \"ranks\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:04:39.606793+00:00\n\n## Record provenance\n\nExact record hash: `3ebf97c23dbdc80a7c34d71c1dda9f948c1b6d9846f133b95c461954239e4c42`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}