{"id":"W4413187093","doi":"10.55016/ojs/cdm.v3i2.61940","title":"Partitions with parts occurring at most thrice","year":2008,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Calgary","keywords":"Mathematics; Combinatorics","routes":{"ca_aff":false,"ca_fund":true,"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":[0.000487488,0.0004922915,0.0003742622,0.0008077752,0.001441824,0.001207055,0.00070526,0.0005171978,0.005010075],"category_scores_gemma":[0.002885889,0.0002612033,0.0005181314,0.0008684356,0.00192427,0.002287369,0.001240036,0.0007090248,0.0007182984],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005993213,"about_ca_system_score_gemma":0.0002412411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005228788,"about_ca_topic_score_gemma":0.0009296781,"domain_scores_codex":[0.9996244,0.00007816355,0.00001616705,0.00007016613,0.00007375049,0.0001373633],"domain_scores_gemma":[0.9988212,0.0004338225,0.0003032688,0.0001680484,0.00009616291,0.0001774167],"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":[0.0002574266,0.00006586391,0.002234493,0.00008731727,0.00002076827,0.0006580172,0.0009289208,0.006399152,0.009718999,0.9545746,0.001827149,0.02322729],"study_design_scores_gemma":[0.00003338109,0.0001842893,0.001859857,0.00005061242,0.00003637433,0.001185548,0.0009407069,0.02721552,0.007771784,0.9447732,0.01591161,0.00003720877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8321218,0.0007992784,0.09425461,0.0005132592,0.0003697457,0.00006846766,0.0001153316,0.0001139419,0.07164348],"genre_scores_gemma":[0.9687866,0.0003274859,0.01583938,0.0001329946,0.0001099859,0.00007196073,0.00009514456,0.00005473617,0.01458179],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005010075,"threshold_uncertainty_score":0.01676035,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0347983452105031,"score_gpt":0.3225815557363371,"score_spread":0.2877832105258339,"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."}}