{"id":"W4413326508","doi":"10.1016/j.aam.2025.102959","title":"Proof of a K-theoretic polynomial conjecture of Monical, Pechenik, and Searles","year":2025,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Polynomial; Combinatorics; Discrete mathematics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000517603,0.0003136717,0.0010348,0.0002398837,0.00004069479,0.00001209496,0.0003936514,0.0001969663,0.00001314917],"category_scores_gemma":[0.001266539,0.0002768768,0.00008540813,0.0005248811,0.0005557682,0.0001002266,0.0002398633,0.0002903785,8.605919e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000598314,"about_ca_system_score_gemma":0.00009084168,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001180674,"about_ca_topic_score_gemma":0.000007818563,"domain_scores_codex":[0.9978355,0.0000331692,0.001172428,0.0003136361,0.0003345943,0.0003106629],"domain_scores_gemma":[0.9957836,0.002778174,0.0006443677,0.0006580516,0.00008232796,0.00005342233],"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":[0.0000620315,0.0005131397,0.00009522765,0.005705576,0.00003242038,0.000001608784,0.001224627,0.00006247714,0.001723238,0.9877537,0.00004402844,0.002781955],"study_design_scores_gemma":[0.001198945,0.000073983,0.000007879194,0.000667053,0.00008306557,0.00000447781,0.0009433181,0.0005610129,0.05862417,0.9374352,0.0001982182,0.0002026994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6559943,0.005383914,0.2558333,0.0002327141,0.0005630747,0.004350947,0.000051788,0.0002282476,0.07736171],"genre_scores_gemma":[0.7369835,0.0001761082,0.2626305,0.00001092165,0.00001668295,0.00007997003,0.000001064406,0.00003465605,0.00006659739],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08098921,"threshold_uncertainty_score":0.9999683,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01157575825103124,"score_gpt":0.3115614895156144,"score_spread":0.2999857312645831,"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."}}