{"id":"W2041307487","doi":"10.1007/s00039-011-0131-x","title":"Pants Decompositions of Random Surfaces","year":2011,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Moduli space; Genus; Euclidean geometry; Surface (topology); Combinatorics; Decomposition; Unit (ring theory); Space (punctuation); Pure mathematics; Property (philosophy); Hyperbolic geometry; Euclidean space; Upper and lower bounds; Hyperbolic space; Mathematical analysis; Geometry; 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":[0.0008757263,0.0006850754,0.001009082,0.004636478,0.001265454,0.002854822,0.0009560425,0.001179161,0.01249739],"category_scores_gemma":[0.002881618,0.0006534807,0.0009983006,0.00142882,0.002323068,0.003186523,0.001732608,0.00198736,0.001317558],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001155627,"about_ca_system_score_gemma":0.0003385313,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001195497,"about_ca_topic_score_gemma":0.001136794,"domain_scores_codex":[0.9992866,0.0001604648,0.00003252014,0.000143841,0.0002410264,0.0001356695],"domain_scores_gemma":[0.9987462,0.000360584,0.0002109121,0.0001754642,0.0002468608,0.0002601332],"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":[0.00002271679,0.000009944392,0.0002084494,0.00001434332,0.000005911112,0.00003722391,0.0001384876,0.0009645286,0.000466412,0.99353,0.001109206,0.003492843],"study_design_scores_gemma":[0.00001052011,0.00001463077,0.0005453434,0.00001084727,0.00000887056,0.0001006234,0.0001217849,0.01110637,0.0002536275,0.9839408,0.003877684,0.000008767241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5955082,0.001612549,0.2878726,0.002649892,0.0003611446,0.000111046,0.0008520059,0.0007516445,0.1102811],"genre_scores_gemma":[0.9189487,0.0007699726,0.03047516,0.0003498975,0.0003865726,0.00007981085,0.000799763,0.0004382929,0.04775189],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01249739,"threshold_uncertainty_score":0.04180795,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09027557610540642,"score_gpt":0.2627646826678784,"score_spread":0.172489106562472,"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."}}