{"id":"W2546131889","doi":"10.1007/s00220-020-03717-0","title":"Weighted Hurwitz Numbers and Topological Recursion","year":2020,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":28,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University; Université de Montréal","funders":"European Research Council; Institute for Basic Science; Russian Foundation for Basic Research; Agence Nationale de la Recherche","keywords":"Recursion (computer science); Generating function; Polynomial; Series (stratigraphy); Hypergeometric distribution; Representation (politics); Genus; Hurwitz matrix","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":[0.0001200246,0.0001515761,0.0002613014,0.00001422679,0.0001300012,0.00004141353,0.0004994033,0.00004619948,0.0001735269],"category_scores_gemma":[0.00002050547,0.0001395614,0.00006997069,0.0002776775,0.0001781723,0.0001195395,0.0004023419,0.000358353,0.0001560041],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001405218,"about_ca_system_score_gemma":0.00002278462,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006948152,"about_ca_topic_score_gemma":5.356884e-7,"domain_scores_codex":[0.9990895,0.0001004241,0.00028467,0.0002113694,0.0001195529,0.0001944168],"domain_scores_gemma":[0.9987994,0.0002721728,0.00008057646,0.0006827591,0.00003844018,0.0001265964],"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":[0.000005051328,0.0002592565,0.0004632482,0.00002157828,0.00001387017,4.140488e-7,0.0006077735,0.000001648205,0.0002440692,0.9886118,0.0002726663,0.009498676],"study_design_scores_gemma":[0.0002955883,0.00003724163,0.00007412208,0.00004346307,0.00001595551,4.16493e-7,0.0003712437,0.04126903,0.00040446,0.9557095,0.001602569,0.0001764691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4081825,0.0004365816,0.2874131,0.01950653,0.0001287449,0.001364646,0.0001132568,0.0002828769,0.2825717],"genre_scores_gemma":[0.986212,0.00003019051,0.01325585,0.0002669272,0.00009919737,0.00003536705,0.00003363439,0.00001927097,0.00004762063],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5780294,"threshold_uncertainty_score":0.569115,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05312136076804218,"score_gpt":0.3105942150860671,"score_spread":0.2574728543180249,"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."}}