{"id":"W2159046074","doi":"10.4153/cmb-2000-052-6","title":"On the Existence of a New Class of Contact Metric Manifolds","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Class (philosophy); Pure mathematics; Metric (unit); Algebra over a field; Epistemology","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006815912,0.0001882128,0.0005530955,0.0003176198,0.00006044656,0.00002505527,0.0004742997,0.0001315163,0.1019331],"category_scores_gemma":[0.002206413,0.000120499,0.0002575351,0.001095081,0.00007617626,0.00001593879,0.00001571495,0.0002040606,0.002191066],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007085563,"about_ca_system_score_gemma":0.0001790837,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001612959,"about_ca_topic_score_gemma":0.0005982321,"domain_scores_codex":[0.9983081,0.00008402029,0.0006010002,0.0002078594,0.0004531026,0.0003459602],"domain_scores_gemma":[0.9969611,0.001755815,0.0001743514,0.0006479478,0.00009435451,0.0003664767],"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":[0.00001341589,0.0001058827,0.00001764975,0.0001131255,0.0001014189,0.00001138283,0.0002547387,0.00000488359,0.00001873788,0.8898875,0.1069729,0.002498435],"study_design_scores_gemma":[0.0007279056,0.0003768308,0.0007597742,0.0004646303,0.0003896257,0.00002923826,0.0007087215,0.0005883997,0.000590815,0.8669853,0.1279086,0.0004702507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6274232,0.0002647221,0.001226035,0.008003258,0.00004530618,0.0006213969,0.00004048986,0.00003095441,0.3623446],"genre_scores_gemma":[0.9829363,0.00001234058,0.002071193,0.0005495372,0.00003600504,0.000009841888,0.000001927427,0.00002295861,0.01435992],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.355513,"threshold_uncertainty_score":0.9985858,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03292336156410824,"score_gpt":0.251615658119476,"score_spread":0.2186922965553678,"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."}}