{"id":"W2025385167","doi":"10.4153/cmb-2010-076-4","title":"Non-Right-Orderable 3-Manifold Groups","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Science Foundation","keywords":"Mathematics; 3-manifold; Manifold (fluid mechanics); Pure mathematics; Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000328698,0.0004394538,0.0004540685,0.0006993931,0.001381681,0.001588893,0.0005420113,0.0006500686,0.005919212],"category_scores_gemma":[0.0007419671,0.000214321,0.0004344955,0.0004165839,0.002792176,0.002200599,0.001781629,0.001077867,0.0004674597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004944802,"about_ca_system_score_gemma":0.0002735949,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000408716,"about_ca_topic_score_gemma":0.0006276907,"domain_scores_codex":[0.9996682,0.00005091684,0.0000209873,0.00005674001,0.0001075971,0.00009547336],"domain_scores_gemma":[0.9993634,0.0001234042,0.0001019908,0.0001666145,0.00008241188,0.0001622647],"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":[0.0001724058,0.00004111957,0.003101696,0.00005357155,0.0000187652,0.001179986,0.001140286,0.001655895,0.02007945,0.9648722,0.0008675852,0.006817026],"study_design_scores_gemma":[0.00007839935,0.0001754637,0.004575217,0.00003220054,0.0000424147,0.002050153,0.001517895,0.009452629,0.01863057,0.9464726,0.01690973,0.00006258892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9635266,0.0001074492,0.01299523,0.0003019504,0.00006221302,0.00001693891,0.00007123934,0.0001573803,0.02276094],"genre_scores_gemma":[0.9917867,0.00004467276,0.003577253,0.00004529354,0.00002140281,0.000008244997,0.00007374029,0.00002261581,0.004420158],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005919212,"threshold_uncertainty_score":0.01980174,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01278774299610244,"score_gpt":0.242821347348115,"score_spread":0.2300336043520125,"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."}}