{"query": "haversine(0,0 → 0,1°) ≈ 111.19 km", "count": 5, "results": [{"id": "card_v_e9a9cfd0bf9a", "title": "haversine(0,0 → 0,1°) ≈ 111.19 km", "shelf": "geography", "surface": "secular", "snippet": "Verdict: HOLDS.\n• geography.haversine_distance: haversine(0.0,0.0 → 0.0,1.0) = 111.19 km (matches claim 111.19492664455873)\nSealed and independently re-checkable: https://narrowhighway.com/s/130e2eba7", "authority_tier": "engine", "source": "Verified by the engine — geography", "readable": false, "generated": false}, {"id": "card_works_haversine", "title": "The great-circle distance from New York to London", "shelf": "the-works", "surface": "secular", "snippet": "Across the curved Earth, the shortest path (the haversine great-circle distance) from New York to London is about 5,570 km — the number behind every flight plan and GPS fix.  Worked & sealed by the en", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_calc_v_geography_haversine_distance", "title": "Haversine distance", "shelf": "calculations", "surface": "secular", "snippet": "Haversine distance — geography. Formula: great-circle distance (haversine). Canonical FORM: trigonometric (a sin(theta) = b sin(phi)) — engine verifier geography.haversine_distance — the deterministic", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_seal_859552e9de7a87029c0bd41455db23f825a02952d2019ff3f5891a2e09e6fb12", "title": "Receipt 859552e9de7a… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"geography\",\n  \"dimensions\": [\n   \"physical_substance\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": null,\n    \"confirmed_steps\": 1,\n   ", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_form_trigonometric", "title": "Canonical form: trigonometric  (a sin(theta) = b sin(phi))", "shelf": "forms", "surface": "secular", "snippet": "A canonical mathematical FORM: a sin(theta) = b sin(phi) — relations among angles and lengths — planar and spherical (Snell, haversine, bearings). Every calculation joined here is this same computatio", "authority_tier": "reference", "source": "The Calculation Map — canonical forms", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_v_e9a9cfd0bf9a"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}