{"anchors": [], "axis_coords": {"axis": "mathematics", "dimensions": ["reasoning"]}, "content_hash": "809fbaa9498918cf30444c3e16a63c6be7eb2c2026d944d08c467ecc0a305421", "gate_results": [{"details": {"broken_at": null, "confirmed_steps": 3, "gap_at": null, "steps": 3, "verdict": "HOLDS"}, "gate": "RED", "reasons": ["derivation verdict: HOLDS"], "status": "PASS"}], "overall": "PASS", "schema_version": "2.0", "verifier_results": [{"data": {"claim": "cos(π) = −1", "domain": "mathematics", "link_ok": true, "uses": []}, "detail": "cos(pi) = -1; both sides reduce to -1", "name": "e1", "status": "CONFIRMED"}, {"data": {"claim": "sin(π) = 0", "domain": "mathematics", "link_ok": true, "uses": []}, "detail": "sin(pi) = 0; both sides reduce to 0", "name": "e2", "status": "CONFIRMED"}, {"data": {"claim": "e^{iπ} + 1 = 0", "domain": "mathematics", "link_ok": true, "uses": ["e1", "e2"]}, "detail": "exp(I*pi)+1 = 0; both sides reduce to 0", "name": "e3", "status": "CONFIRMED"}], "house": {"door": "CHECK", "kind": "record", "trail": "verifier_results", "seal": "809fbaa9498918cf30444c3e16a63c6be7eb2c2026d944d08c467ecc0a305421", "next_step": {"do": "re-run the sealed derivation yourself; a seal is only a claim until re-checked", "door": "CHECK", "tool": "verify"}, "ends": "a verdict or a card · the trail · a seal · one next step"}}