{"id": "c1067", "title": "C1067 — Uniform Key measurements add no lost digit information", "filename": "C1067.md", "role": "Research action", "step": 1067, "sha256": "6a33b52cf3ff2bd2d34e9006c0d7b14805ca8ffb6d0751e7c340db8cea7cd021", "bytes": 1142, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1067"], "download": "/sources/6a33b52cf3ff2bd2d34e9006c0d7b14805ca8ffb6d0751e7c340db8cea7cd021.md", "format": "md", "derived": true, "tags": [], "excerpt": "Do E/P/J images of the reversed total enlarge the aggregate measurement rank?", "content": "# C1067 — Uniform Key measurements add no lost digit information\n\n## Question\n\nDo E/P/J images of the reversed total enlarge the aggregate measurement rank?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C943–C945\",\n  \"C1066\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:11:47.353937+00:00\n\n## Results\n\n```json\n{\n  \"measurement_rank\": 2,\n  \"kernel\": [\n    [\n      1,\n      \"-101/10\",\n      1\n    ]\n  ],\n  \"row_count\": 5,\n  \"qualification\": \"bounded integer aggregate recovery still holds; component allocation remains lost\"\n}\n```\n\n## Finding\n\nAdding uniform Key outputs supplies scalar multiples of an existing measurement. It restores neither aggregate information beyond the two totals nor the hidden allocation among source components.\n\n## Reassessment\n\nClassify all completed-path interface claims by dependency type.\n\n## Checks\n\n```json\n{\n  \"rank_unchanged\": true,\n  \"row_count\": true,\n  \"kernel_direction\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:11:47.354707+00:00\n\n## Record provenance\n\nExact record hash: `fec3a7bca6baa102263bb931bf70d373528a952d1374c6246513addcfb770c4a`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}