{"id":"W4394644842","doi":"10.48550/arxiv.math-ph/0112051","title":"A new hierarchy of integrable systems associated to Hurwitz spaces","year":2001,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Concordia University","keywords":"Integrable system; Hierarchy; Pure mathematics; Mathematics; Algebra over a field; Political science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.0003474886,0.0003457081,0.0005106243,0.001348642,0.001557079,0.002067572,0.0004769756,0.0009460124,0.003804147],"category_scores_gemma":[0.001043265,0.0002675764,0.0004148034,0.0004015901,0.001617036,0.002462291,0.001725253,0.00143476,0.0003731793],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001017432,"about_ca_system_score_gemma":0.0005365195,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007459525,"about_ca_topic_score_gemma":0.0008824265,"domain_scores_codex":[0.9995747,0.00007168136,0.00002396189,0.00005687322,0.0001856413,0.00008717181],"domain_scores_gemma":[0.9995267,0.00006898025,0.0000753901,0.00006575755,0.0001122084,0.0001508167],"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":[0.000008288959,0.00001519213,0.0003943887,0.00003365482,0.000005092081,0.000222822,0.0004484719,0.0009894434,0.004296035,0.9899329,0.0005616064,0.00309212],"study_design_scores_gemma":[0.00003267774,0.00007520607,0.001622679,0.00003904379,0.00001163658,0.0006960906,0.0004081637,0.03449607,0.001607314,0.949135,0.0118424,0.00003376359],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7993948,0.00206491,0.09382331,0.002297928,0.0003082579,0.0001176236,0.0001769108,0.0005578229,0.1012585],"genre_scores_gemma":[0.9639162,0.0005486469,0.02180327,0.0002951662,0.0002604838,0.00004778588,0.0001271824,0.00004602655,0.01295518],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003804147,"threshold_uncertainty_score":0.01272613,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0341016708237729,"score_gpt":0.2872553822685672,"score_spread":0.2531537114447943,"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."}}