{"id":"W4386115989","doi":"10.1093/imrn/rnad200","title":"Cofinal Elements and Fractional Dehn Twist Coefficients","year":2023,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; University of Manitoba","funders":"","keywords":"Mathematics; Twist; Genus; Boundary (topology); Homeomorphism (graph theory); Combinatorics; Mapping class group; Action (physics); Class (philosophy); Translation (biology); Surface (topology); Pure mathematics; Mathematical analysis; Geometry; Botany","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002331967,0.0001430054,0.0002047054,0.0009374456,0.0002538822,0.000167371,0.0005102213,0.0000872248,0.0009911328],"category_scores_gemma":[0.004765936,0.0001267155,0.0000526198,0.0007597331,0.0002836488,0.0001664603,0.0004288483,0.0003464177,0.0009108172],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008445464,"about_ca_system_score_gemma":0.00006448125,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002062369,"about_ca_topic_score_gemma":0.00001868409,"domain_scores_codex":[0.9970717,0.0000839645,0.0004528974,0.0003130274,0.001601988,0.0004763915],"domain_scores_gemma":[0.9954583,0.003570585,0.0001487769,0.0002243096,0.000463444,0.000134583],"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":[0.00008920502,0.001299589,0.008334162,0.0005203351,0.0004846633,0.000152505,0.002143307,0.00007711421,0.0006756911,0.8916711,0.08755302,0.006999261],"study_design_scores_gemma":[0.001612845,0.0002918534,0.01020034,0.0002144609,0.00004027253,0.00008277124,0.004169534,0.05855784,0.0004335156,0.8658257,0.05812197,0.0004488972],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9713597,0.00004232465,0.002869369,0.002962807,0.0006282009,0.0003544684,0.00005978822,0.0001720677,0.0215513],"genre_scores_gemma":[0.9781386,0.00005551523,0.01216468,0.00005303426,0.0002277426,0.00005805978,0.00003390634,0.00003072598,0.009237721],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05848072,"threshold_uncertainty_score":0.9999221,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2211358808325419,"score_gpt":0.4824694915294925,"score_spread":0.2613336106969506,"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."}}