{"anchors": [], "axis_coords": {"axis": "linear_algebra", "dimensions": ["physical_substance", "reasoning"]}, "content_hash": "5a497c248aa2ecb6cdbbda77103315c3ed6927d599fcffa323446bfe95db0af7", "gate_results": [{"details": {"broken_at": null, "confirmed_steps": 2, "gap_at": null, "steps": 2, "verdict": "HOLDS"}, "gate": "RED", "reasons": ["derivation verdict: HOLDS"], "status": "PASS"}], "overall": "PASS", "schema_version": "2.0", "verifier_results": [{"data": {"claim": "[1,2,3]·[4,5,6] = 4+10+18 = 32", "domain": "linear_algebra", "link_ok": true, "uses": []}, "detail": "vector.dot_product: [1.0, 2.0, 3.0] · [4.0, 5.0, 6.0] = 32.0", "name": "dp1", "status": "CONFIRMED"}, {"data": {"claim": "det [[1,2],[3,4]] = 1·4 − 2·3 = −2", "domain": "linear_algebra", "link_ok": true, "uses": ["dp1"]}, "detail": "matrix.determinant: det = -2", "name": "dt1", "status": "CONFIRMED"}]}