{"id": "c1172", "title": "C1172 — Reject rank alone as an explanation score", "filename": "C1172.md", "role": "Research action", "step": 1172, "sha256": "7bc7e70263177a4ffbeb4d2e3d3e5d642caa87f4998c10cb7aeaafb16ea17908", "bytes": 1222, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1172"], "download": "/sources/7bc7e70263177a4ffbeb4d2e3d3e5d642caa87f4998c10cb7aeaafb16ea17908.md", "format": "md", "derived": true, "tags": ["Counts & NT"], "excerpt": "Could a formally smaller numeric dimension conceal a larger description of the source family?", "content": "# C1172 — Reject rank alone as an explanation score\n\n## Question\n\nCould a formally smaller numeric dimension conceal a larger description of the source family?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1171\",\n  \"Strategy §6\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:11:45.208647+00:00\n\n## Results\n\n```json\n{\n  \"rank_counterexample\": {\n    \"path\": \"model/rank_only_compression_counterexample.json\",\n    \"sha256\": \"b54c1d3fc222a1ffb0f88d10a1ba8d4eb9df7b7f3e9d7c9e5c5c2ca7b4857d1a\",\n    \"bytes\": 469\n  }\n}\n```\n\n## Finding\n\nA one-dimensional fitted ray can encode every observed value only by placing all56 values in its coefficients. This shows why lower rank is not itself the Strategy’s desired compression; source rules, masks and exceptional choices must be counted.\n\n## Reassessment\n\nEstablish the algebraic domain of the row moves before using them as a shared operation grammar.\n\n## Checks\n\n```json\n{\n  \"ray_rank1\": true,\n  \"all56_stored\": true,\n  \"no_score_weights\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:11:45.209858+00:00\n\n## Record provenance\n\nExact record hash: `d35e57433c43dcf73a70acf751376cb503fbacbef9062064d5e6ecc7a08ba5f8`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-b54c1d3fc222a1ff", "title": "model/rank_only_compression_counterexample.json"}]}