{"id":"W2950204081","doi":"10.48550/arxiv.0705.2623","title":"Densely ordered braid subgroups","year":2007,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Braid group; Mathematics; Commutator subgroup; Combinatorics; Kernel (algebra); Braid; Characterization (materials science); Commutator; Pure mathematics; Group (periodic table); Normal subgroup; Algebra over a field; Physics; Geography","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":[0.0002660281,0.0002430036,0.0002740361,0.0005887855,0.0009337079,0.001283358,0.000190651,0.0002220007,0.002985489],"category_scores_gemma":[0.0006721437,0.0001950243,0.0002204957,0.0002817631,0.001844515,0.001487318,0.001346347,0.0006574885,0.0003583022],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005418897,"about_ca_system_score_gemma":0.0003642555,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001461172,"about_ca_topic_score_gemma":0.001933628,"domain_scores_codex":[0.9996568,0.00005884821,0.00002206484,0.0000857912,0.00008720574,0.00008927411],"domain_scores_gemma":[0.9996486,0.00009149908,0.00003694462,0.00006285936,0.0000705752,0.000089537],"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":[0.00003383569,0.00001095667,0.0005904255,0.00001499412,0.000003000563,0.00007944115,0.0005860135,0.0002461081,0.006833407,0.9862279,0.0003607782,0.00501312],"study_design_scores_gemma":[0.00002185276,0.00004731436,0.001208309,0.00001196057,0.000008028117,0.000220888,0.0005701953,0.002871336,0.007591433,0.9730626,0.01437246,0.000013608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8378687,0.0005617156,0.05189068,0.000543368,0.00008362385,0.00003592198,0.0002189694,0.0001593559,0.1086376],"genre_scores_gemma":[0.9823812,0.0001223163,0.007005929,0.00007004695,0.00003619586,0.00002126591,0.0001346893,0.00001750414,0.01021087],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002985489,"threshold_uncertainty_score":0.009987414,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.152899077131719,"score_gpt":0.2320685735777228,"score_spread":0.0791694964460038,"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."}}