{ "verified": true, "exact_fraction": "1/2", "cubic_symmetry_verified": true, "L1_template_distance_upper": "1/2", "calibrated_cost_upper": "15832913/12076646400", "physical_observation_error_squared_less_than": "17/5000", "scope": "Actual finite Cartesian binary geometry; response error follows from the analytic comparison theorem and certified integration.", "full_membership_decided": false }