{"id":"W2302690465","doi":"10.1017/fms.2019.14","title":"UNIFORM SPANNING FORESTS OF PLANAR GRAPHS","year":2019,"lang":"en","type":"preprint","venue":"Forum of Mathematics Sigma","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Tel Aviv University; Israel Science Foundation","keywords":"Planar graph; Bounded function; Planar; Mathematics; Plane (geometry); Spanning tree; Combinatorics; Circle packing; Class (philosophy); Graph; Hyperbolic geometry; Geometry; Discrete mathematics; Computer science; Mathematical analysis; Algebraic geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006099556,0.0005011355,0.001568528,0.0002736807,0.00004683687,0.0000259362,0.0008747218,0.0005146432,0.0001039798],"category_scores_gemma":[0.002207715,0.000438158,0.0003895148,0.0001933399,0.0001164713,0.00005264737,0.0006401258,0.0005470091,0.00001761745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004659581,"about_ca_system_score_gemma":0.0002171982,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002225596,"about_ca_topic_score_gemma":0.00003418514,"domain_scores_codex":[0.9966845,0.0000252629,0.001516909,0.0004185117,0.0008456326,0.0005091696],"domain_scores_gemma":[0.9946127,0.001958453,0.001727943,0.001186123,0.0003898855,0.0001249148],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002723743,0.0003812556,0.00007761389,0.01634164,0.0002340483,0.000006081985,0.001021776,0.0002150339,0.00008344508,0.9793916,0.001807294,0.0004130268],"study_design_scores_gemma":[0.000403379,0.0002563781,0.00001430048,0.002886393,0.0002894603,0.0000123419,0.0008995598,0.03687569,0.001614403,0.9563149,0.00004698883,0.0003861594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02193602,0.0002852051,0.9706407,0.00009301725,0.0005203537,0.001026694,0.0006247286,0.00008168951,0.004791551],"genre_scores_gemma":[0.5957199,0.00003675582,0.4036821,0.00001537805,0.00003620724,0.00004610589,0.00004487712,0.0001156818,0.0003029558],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5737839,"threshold_uncertainty_score":0.999807,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04587197902773012,"score_gpt":0.3117046313314442,"score_spread":0.2658326523037141,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}