{"id":"W2601196922","doi":"10.46298/dmtcs.2478","title":"Factoring peak polynomials","year":2015,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"University of Washington; National Science Foundation","keywords":"Pi; Combinatorics; Mathematics; Permutation (music); Integer (computer science); Binomial coefficient; Conjecture; Discrete mathematics; Physics; Geometry","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003205778,0.0005157426,0.0007874632,0.0002570061,0.0003826901,0.0004621925,0.002055551,0.000134744,0.0000923862],"category_scores_gemma":[0.003611458,0.0004105875,0.0001839128,0.0009898305,0.002404952,0.0006428773,0.001265063,0.0003855273,0.0001961393],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002440681,"about_ca_system_score_gemma":0.0002540455,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001578764,"about_ca_topic_score_gemma":3.496254e-7,"domain_scores_codex":[0.9951987,0.000107399,0.0009751909,0.0007763368,0.001874309,0.00106805],"domain_scores_gemma":[0.9952538,0.001383041,0.0003739994,0.001574524,0.0005416398,0.0008730185],"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":[0.00001027527,0.0001816227,0.000008602883,0.000091437,0.000016011,0.00001304718,0.004454421,0.00002155707,0.0005707538,0.9939386,0.0002008994,0.0004928089],"study_design_scores_gemma":[0.0005442927,0.0001920354,0.000004965078,0.0001498222,0.00004403002,0.0000585976,0.0004144387,0.05057108,0.004220867,0.9430791,0.0002029592,0.0005178432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07218638,0.0000257606,0.9026164,0.0003906679,0.001596399,0.000627179,0.000007991894,0.0005389859,0.02201025],"genre_scores_gemma":[0.585974,0.000001382155,0.4135272,0.00006990311,0.0002977051,0.00002096662,0.000001062936,0.00005761778,0.00005017775],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5137876,"threshold_uncertainty_score":0.9998346,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04977607377244855,"score_gpt":0.3295222375344969,"score_spread":0.2797461637620484,"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."}}