{"id":"W2105369534","doi":"10.1353/ajm.2012.0020","title":"A boundary criterion for cubulation","year":2012,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":120,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Boundary (topology); Separable space; Fibered knot; Pure mathematics; Hyperbolic manifold; 3-manifold; Manifold (fluid mechanics); Action (physics); Cube (algebra); Group (periodic table); Mathematical analysis; Combinatorics; Hyperbolic function","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":[],"consensus_categories":[],"category_scores_codex":[0.00104392,0.0001173337,0.000437114,0.0002222618,0.00006657152,0.00001985395,0.0001562361,0.00003660261,0.00007341622],"category_scores_gemma":[0.001280685,0.00009146025,0.0001690977,0.0002656499,0.0001431287,0.0001881194,0.00002336574,0.0001184818,0.00000971663],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004527633,"about_ca_system_score_gemma":0.00004669681,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001492825,"about_ca_topic_score_gemma":2.664689e-7,"domain_scores_codex":[0.9987848,0.00004544035,0.0006032601,0.00005585356,0.0002315651,0.0002790865],"domain_scores_gemma":[0.9974682,0.001084218,0.0009693638,0.0001568627,0.0001926415,0.0001287],"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":[0.0002411716,0.004543403,0.01021997,0.001306106,0.000926935,0.00001908087,0.03544106,0.00001291301,0.00311251,0.6514055,0.039657,0.2531143],"study_design_scores_gemma":[0.001839935,0.002492126,0.003057603,0.0002475492,0.0006039655,0.002371374,0.01598651,0.0005302218,0.00129352,0.9396812,0.03130519,0.0005908436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7227702,0.0001838311,0.2758068,0.0004177919,0.0003330368,0.0001242628,0.00000332605,0.00001590247,0.0003448697],"genre_scores_gemma":[0.7059854,0.00001382447,0.2933947,0.0000888351,0.0003557739,0.000003534504,6.354675e-7,0.00002077769,0.0001365182],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2882756,"threshold_uncertainty_score":0.3729641,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04604609349324386,"score_gpt":0.3468937397578172,"score_spread":0.3008476462645733,"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."}}