{"id":"W2572978922","doi":"","title":"On a new class of combinatorial identities.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Class (philosophy); Combinatorics; Algebra over a field; Pure mathematics; Artificial intelligence; Computer science","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.001460197,0.0006777001,0.0008539835,0.00309232,0.00414375,0.005529724,0.00176896,0.002661254,0.01814213],"category_scores_gemma":[0.006041766,0.00044052,0.001151268,0.002153231,0.006248465,0.01493832,0.005709377,0.005791824,0.004102301],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001306917,"about_ca_system_score_gemma":0.000939973,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009203255,"about_ca_topic_score_gemma":0.001163252,"domain_scores_codex":[0.9982163,0.0004580372,0.00009940533,0.0003460404,0.0006440455,0.0002361909],"domain_scores_gemma":[0.9970102,0.0009432028,0.0002710521,0.0008596161,0.0005113825,0.0004044321],"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":[0.000002605896,0.000006664811,0.00005414788,0.000007975769,0.000001344936,0.00003685996,0.00005906129,0.00004983449,0.00006419345,0.9957717,0.001930428,0.002015143],"study_design_scores_gemma":[0.000004000111,0.000004275635,0.00007404376,0.00001633469,0.000002753949,0.0001414601,0.0000582108,0.0007969733,0.00006648453,0.9865788,0.01225109,0.00000556889],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.05007505,0.00275491,0.2523172,0.008904978,0.003465347,0.0001023357,0.0007165518,0.0004732849,0.6811903],"genre_scores_gemma":[0.6736216,0.005184526,0.111145,0.006947182,0.005970239,0.0003519729,0.001598098,0.0007592239,0.1944221],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01814213,"threshold_uncertainty_score":0.06069148,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02634488251862643,"score_gpt":0.3004359709442244,"score_spread":0.274091088425598,"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."}}