{
  "schema_version": 1,
  "concept": "4I.2B",
  "fixture_id": "p1411-table4-candidate-control-v1",
  "provenance": "Independent constants calculated from ITU-R P.1411-13 Table 4 equation (1), the row coefficients, the published footnotes, and the P.525 wavelength identity. These values are not generated by the production evaluator.",
  "sources": {
    "p1411": "https://www.itu.int/rec/R-REC-P.1411-13-202509-I/en",
    "p1411_pdf": "https://www.itu.int/dms_pubrec/itu-r/rec/p/R-REC-P.1411-13-202509-I!!PDF-E.pdf",
    "p525": "https://www.itu.int/dms_pubrec/itu-r/rec/p/R-REC-P.525-5-202411-I!!PDF-E.pdf"
  },
  "conventions": {
    "frequency_ghz": 140,
    "distance_m": "3D direct/slant distance",
    "p1411_equation": "Lb = 10 alpha log10(d) + beta + 10 gamma log10(f)",
    "p525_equation": "20 log10(4 pi d / lambda), lambda = c / (f GHz * 1e9)",
    "tolerance_db": 0.000001,
    "random_sampling": false,
    "canonical_network_coupling": false
  },
  "representative_140ghz_predictions": {
    "los": {
      "model_id": "p1411_below_rooftop_los_v1",
      "morphology": "urban_high_rise",
      "rooftop_relation": "both_below_rooftop",
      "los_state": "los",
      "coefficients": {"alpha": 2.07, "beta": 31.23, "gamma": 2.06, "sigma_db": 4.91},
      "samples": [
        {"distance_m": 5, "median_path_loss_db": 89.908916624727, "p525_fspl_db": 89.349744022169, "excess_relative_to_fspl_db": 0.559172602559},
        {"distance_m": 10, "median_path_loss_db": 96.140237534972, "p525_fspl_db": 95.370343935448, "excess_relative_to_fspl_db": 0.769893599524},
        {"distance_m": 25, "median_path_loss_db": 104.377595714483, "p525_fspl_db": 103.329144108889, "excess_relative_to_fspl_db": 1.048451605594},
        {"distance_m": 50, "median_path_loss_db": 110.608916624727, "p525_fspl_db": 109.349744022169, "excess_relative_to_fspl_db": 1.259172602559},
        {"distance_m": 100, "median_path_loss_db": 116.840237534972, "p525_fspl_db": 115.370343935448, "excess_relative_to_fspl_db": 1.469893599524},
        {"distance_m": 200, "median_path_loss_db": 123.071558445216, "p525_fspl_db": 121.390943848728, "excess_relative_to_fspl_db": 1.680614596488},
        {"distance_m": 400, "median_path_loss_db": 129.302879355461, "p525_fspl_db": 127.411543762007, "excess_relative_to_fspl_db": 1.891335593453},
        {"distance_m": 500, "median_path_loss_db": 131.308916624727, "p525_fspl_db": 129.349744022168, "excess_relative_to_fspl_db": 1.959172602559}
      ]
    },
    "urban_highrise_nlos": {
      "model_id": "p1411_urban_highrise_nlos_v1",
      "morphology": "urban_high_rise",
      "rooftop_relation": "both_below_rooftop",
      "los_state": "nlos",
      "coefficients": {"alpha": 3.73, "beta": 16.02, "gamma": 2.26, "sigma_db": 7.62},
      "samples": [
        {"distance_m": 20, "median_path_loss_db": 113.050912444595, "p525_fspl_db": 101.390943848728, "excess_relative_to_fspl_db": 11.659968595867},
        {"distance_m": 50, "median_path_loss_db": 127.894074768062, "p525_fspl_db": 109.349744022169, "excess_relative_to_fspl_db": 18.544330745893},
        {"distance_m": 100, "median_path_loss_db": 139.122493606328, "p525_fspl_db": 115.370343935448, "excess_relative_to_fspl_db": 23.752149670880},
        {"distance_m": 140, "median_path_loss_db": 144.573069337126, "p525_fspl_db": 118.292904649013, "excess_relative_to_fspl_db": 26.280164688114},
        {"distance_m": 150, "median_path_loss_db": 145.690697569105, "p525_fspl_db": 118.892169116562, "excess_relative_to_fspl_db": 26.798528452543}
      ]
    },
    "urban_lowrise_suburban_nlos": {
      "model_id": "p1411_urban_lowrise_nlos_v1",
      "morphologies": ["urban_low_rise", "suburban"],
      "rooftop_relation": "both_below_rooftop",
      "los_state": "nlos",
      "coefficients": {"alpha": 4.52, "beta": 6.04, "gamma": 2.14, "sigma_db": 8.02},
      "samples": [
        {"distance_m": 10, "median_path_loss_db": 97.167139963514, "p525_fspl_db": 95.370343935448, "excess_relative_to_fspl_db": 1.796796028066},
        {"distance_m": 25, "median_path_loss_db": 115.154028355490, "p525_fspl_db": 103.329144108889, "excess_relative_to_fspl_db": 11.824884246602},
        {"distance_m": 50, "median_path_loss_db": 128.760584159502, "p525_fspl_db": 109.349744022169, "excess_relative_to_fspl_db": 19.410840137334},
        {"distance_m": 100, "median_path_loss_db": 142.367139963514, "p525_fspl_db": 115.370343935448, "excess_relative_to_fspl_db": 26.996796028066},
        {"distance_m": 140, "median_path_loss_db": 148.972127176171, "p525_fspl_db": 118.292904649013, "excess_relative_to_fspl_db": 30.679222527158},
        {"distance_m": 150, "median_path_loss_db": 150.326464872831, "p525_fspl_db": 118.892169116562, "excess_relative_to_fspl_db": 31.434295756269}
      ]
    }
  },
  "boundary_cases": [
    {"id": "los_500m_inclusive", "model_id": "p1411_below_rooftop_los_v1", "frequency_ghz": 140, "distance_m": 500, "expected": "applicable"},
    {"id": "los_501m_rejected", "model_id": "p1411_below_rooftop_los_v1", "frequency_ghz": 140, "distance_m": 501, "expected": "inapplicable", "reasons": ["distance_out_of_range"]},
    {"id": "highrise_150m_inclusive", "model_id": "p1411_urban_highrise_nlos_v1", "frequency_ghz": 140, "distance_m": 150, "expected": "applicable"},
    {"id": "highrise_151m_rejected", "model_id": "p1411_urban_highrise_nlos_v1", "frequency_ghz": 140, "distance_m": 151, "expected": "inapplicable", "reasons": ["distance_out_of_range"]},
    {"id": "lowrise_150m_inclusive", "model_id": "p1411_urban_lowrise_nlos_v1", "frequency_ghz": 140, "distance_m": 150, "expected": "applicable"},
    {"id": "lowrise_151m_rejected", "model_id": "p1411_urban_lowrise_nlos_v1", "frequency_ghz": 140, "distance_m": 151, "expected": "inapplicable", "reasons": ["distance_out_of_range"]},
    {"id": "los_frequency_lower_boundary", "model_id": "p1411_below_rooftop_los_v1", "frequency_ghz": 0.45, "distance_m": 100, "expected": "applicable"},
    {"id": "highrise_frequency_lower_boundary", "model_id": "p1411_urban_highrise_nlos_v1", "frequency_ghz": 0.8, "distance_m": 100, "expected": "applicable"},
    {"id": "lowrise_frequency_upper_boundary", "model_id": "p1411_urban_lowrise_nlos_v1", "frequency_ghz": 255, "distance_m": 100, "expected": "applicable"},
    {"id": "all_frequency_below_union", "frequency_ghz": 0.44, "distance_m": 100, "expected": "inapplicable", "reasons": ["frequency_out_of_range"]},
    {"id": "all_frequency_above_union", "frequency_ghz": 300.01, "distance_m": 100, "expected": "inapplicable", "reasons": ["frequency_out_of_range"]},
    {"id": "morphology_unknown", "model_id": "p1411_below_rooftop_los_v1", "frequency_ghz": 140, "distance_m": 100, "morphology": "unknown", "expected": "inapplicable", "reasons": ["morphology_unknown", "insufficient_scene_evidence"]},
    {"id": "rooftop_above_unsupported", "model_id": "p1411_below_rooftop_los_v1", "frequency_ghz": 140, "distance_m": 100, "rooftop_relation": "one_above_one_below", "expected": "inapplicable", "reasons": ["rooftop_relation_mismatch", "unsupported_geometry"]},
    {"id": "los_nlos_mismatch", "model_id": "p1411_urban_highrise_nlos_v1", "frequency_ghz": 140, "distance_m": 100, "los_state": "los", "expected": "inapplicable", "reasons": ["los_state_mismatch"]}
  ],
  "fingerprint_contract": {
    "algorithm": "SHA-256 over canonical JSON of model identity, revision, and normalized request; prefix p1411-reference-",
    "same_request_must_match": true,
    "dataset_geometry_not_in_hash": true,
    "candidate_order": ["p1411_below_rooftop_los_v1", "p1411_urban_highrise_nlos_v1", "p1411_urban_lowrise_nlos_v1"],
    "golden_request": "140 GHz, (32.85,39.92,25 m) to (32.8509,39.92,1.5 m), urban_high_rise, both_below_rooftop, los, all candidates, default frequency/height/distance provenance and user_declared scenario provenance",
    "golden_fingerprint": "p1411-reference-5bee113c3b18e104d81ada1740548e5203b170bb5e1d30fc28b27cf4c581a28e"
  }
}