{"id":"W3159413361","doi":"","title":"The number of perfect matchings, and the sandwich conjectures, of random regular graphs","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Combinatorics; Omega; Mathematics; Physics","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":[0.004664254,0.00113355,0.001603284,0.002485505,0.002293585,0.0036823,0.004159693,0.00273485,0.005005166],"category_scores_gemma":[0.04053422,0.00155266,0.001571479,0.00147642,0.005773055,0.01106948,0.004333857,0.002746303,0.000878291],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004001173,"about_ca_system_score_gemma":0.001405564,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002095625,"about_ca_topic_score_gemma":0.002217909,"domain_scores_codex":[0.9962121,0.001280999,0.0001697961,0.001307338,0.0004884843,0.0005412316],"domain_scores_gemma":[0.9652143,0.02088065,0.004560158,0.004975612,0.001320774,0.00304851],"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":[0.001564645,0.0003057063,0.0223405,0.0005677746,0.0003257214,0.0003876912,0.00101205,0.1713535,0.01097403,0.7458466,0.01308571,0.03223606],"study_design_scores_gemma":[0.0001803947,0.00019868,0.003271014,0.00007108469,0.0001201258,0.0003915569,0.000195926,0.4894539,0.004625393,0.4982648,0.003141992,0.0000852778],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8378996,0.001409558,0.1366186,0.005036747,0.0001857905,0.0001591483,0.001283324,0.00080648,0.01660089],"genre_scores_gemma":[0.9821846,0.0005092525,0.01221011,0.0005396116,0.0001644468,0.0001876829,0.000610407,0.0001362211,0.003457599],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005005166,"threshold_uncertainty_score":0.02903068,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03318134980537377,"score_gpt":0.2063201663214942,"score_spread":0.1731388165161205,"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."}}