{
  "audit": "RAPA_NUI_HINGE_CONSTRUCTION_FREEDOM_v1",
  "status": "POST-DISCOVERY construction-freedom diagnostic; not a prospective p-value",
  "comparison_family": "8 natural centers (6 triangle centers + mainland area centroid + MRR center) x 3 volcanic edge midpoints x 3 angular-vertex roles, independently for h1 and h2; 150 homogeneous GML ahu opened only after construction definition.",
  "natural_centers": [
    "volcanic_centroid",
    "incenter",
    "circumcenter",
    "orthocenter",
    "symmedian",
    "spieker",
    "mainland_area_centroid",
    "MRR_center"
  ],
  "midpoints": [
    "PT",
    "PR",
    "RT"
  ],
  "vertex_roles": [
    "midpoint",
    "center",
    "site"
  ],
  "valid_constructions": 5184,
  "site_population": 150,
  "declared": {
    "c1": "volcanic_centroid",
    "m1": "PT",
    "v1": "midpoint",
    "c2": "mainland_area_centroid",
    "m2": "RT",
    "v2": "center",
    "best_error_deg": 0.04497248345431615,
    "best_node": 132,
    "best_name": "Akivi",
    "second_error_deg": 0.2432547581177289,
    "margin_ratio_second_over_best": 5.408968761194418,
    "akivi_error_deg": 0.04497248345431615,
    "akivi_rank_150": 1,
    "akivi_h1_deg": 24.01442592049776,
    "akivi_h2_deg": 23.969453437043445
  },
  "declared_rank_by_best_site_error": 567,
  "declared_rank_by_site_margin": 1051,
  "declared_rank_by_akivi_error": 75,
  "constructions_selecting_Akivi_rank1": 66,
  "constructions_with_best_error_le_declared": 568,
  "constructions_with_margin_ge_declared": 1052,
  "interpretation": "This audit prices the analyst freedom in choosing the two natural centers, volcanic midpoints, and angular vertex roles. It does not convert the finite rank into a probability of historical intention."
}
PASS: declared hinge retains Akivi #1/150 under the declared construction; construction-freedom ranks reported without p-value interpretation.
