{"id": "c1019", "title": "C1019 — NT Key-knot constraint rank", "filename": "C1019.md", "role": "Research action", "step": 1019, "sha256": "838662e12642869f18ecf32bd6f0bc3511d3131770ad551aed61200e14bb29fe", "bytes": 1073, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1019"], "download": "/sources/838662e12642869f18ecf32bd6f0bc3511d3131770ad551aed61200e14bb29fe.md", "format": "md", "derived": true, "tags": [], "excerpt": "Do the one-slot P and six-slot E returns impose independent metric equations?", "content": "# C1019 — NT Key-knot constraint rank\n\n## Question\n\nDo the one-slot P and six-slot E returns impose independent metric equations?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File43 §3.4\",\n  \"File54 §6\",\n  \"C866–C867\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:59:13.232738+00:00\n\n## Results\n\n```json\n{\n  \"constraint_packet\": {\n    \"path\": \"model/nt_knot_constraints.json\",\n    \"sha256\": \"001fa79df002ae5a1ff854edc0d95670ab13621b424713e9d46190626da9e136\",\n    \"bytes\": 216\n  },\n  \"rank\": 1,\n  \"row_multiple\": 6\n}\n```\n\n## Finding\n\nThe second marked NT return is exactly six times the first equation. The pair has rank one and does not independently determine the70-year metric.\n\n## Reassessment\n\nIdentify the metric freedom and the additional source constraint that closes it.\n\n## Checks\n\n```json\n{\n  \"rank_one\": true,\n  \"dependent_rows\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:59:13.233977+00:00\n\n## Record provenance\n\nExact record hash: `a9606576f6f256c87181d6a7dcdf67f5826caa29d6a13d4db1f6096725397767`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-001fa79df002ae5a", "title": "model/nt_knot_constraints.json"}, {"id": "d-1ff1914fa180de2a", "title": "File 54"}, {"id": "d-dde4eca7c1f64eae", "title": "File 43"}]}