{"id":"W2950178280","doi":"10.48550/arxiv.1011.0612","title":"Pants decompositions of random surfaces","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Moduli space; Mathematics; Euclidean geometry; Genus; Surface (topology); Decomposition; Unit (ring theory); Property (philosophy); Space (punctuation); Combinatorics; Hyperbolic geometry; Pure mathematics; Euclidean space; Geometry; Computer science; Differential geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005347866,0.0003497952,0.0006131349,0.001860509,0.001116907,0.001485064,0.0004104434,0.0008553532,0.006935564],"category_scores_gemma":[0.003475024,0.0004968151,0.0005899135,0.0007272197,0.002014091,0.001920798,0.001644197,0.001066867,0.0005405046],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006648381,"about_ca_system_score_gemma":0.000235898,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003260147,"about_ca_topic_score_gemma":0.0004688697,"domain_scores_codex":[0.9993086,0.0001218769,0.00003698771,0.0001588421,0.0002278915,0.0001459137],"domain_scores_gemma":[0.9983412,0.000465484,0.0003041943,0.0004511535,0.0001713515,0.0002665947],"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":[0.0001989795,0.00005940978,0.008229874,0.00009443216,0.0000327232,0.0004354935,0.0005631391,0.0131746,0.01701663,0.9407299,0.002692312,0.0167725],"study_design_scores_gemma":[0.00005527183,0.0001531115,0.01165704,0.00003724567,0.00003924121,0.001097974,0.0006049456,0.07999085,0.007851709,0.8896258,0.008850986,0.00003585593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9332253,0.0002265408,0.04971169,0.000469253,0.00004487251,0.0000309902,0.0001813312,0.0002603145,0.01584973],"genre_scores_gemma":[0.9878098,0.0001104254,0.008015027,0.00007295205,0.00003914409,0.00003751949,0.0002711726,0.00007701496,0.003567048],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006935564,"threshold_uncertainty_score":0.02320176,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1351247361730909,"score_gpt":0.2304451286561206,"score_spread":0.0953203924830297,"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."}}