{"id":"W1992296250","doi":"10.1017/s096354830300587x","title":"Rainbow Arithmetic Progressions and Anti-Ramsey Results","year":2003,"lang":"en","type":"article","venue":"Combinatorics Probability Computing","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Univerzita Karlova v Praze","keywords":"Rainbow; Van der Waerden's theorem; Arithmetic progression; Mathematics; Monochromatic color; Arithmetic; Class (philosophy); Combinatorics; Term (time); Ramsey theory; Discrete mathematics; Computer science; Physics; Artificial intelligence","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":[],"consensus_categories":[],"category_scores_codex":[0.002514718,0.0002817309,0.000425459,0.00009665554,0.0008332693,0.00009032161,0.0002765994,0.000178463,0.000006180015],"category_scores_gemma":[0.005821587,0.0002374284,0.0001005623,0.0004614614,0.0003030193,0.00008417136,0.0003381931,0.0004569934,0.000001496756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007536739,"about_ca_system_score_gemma":0.0000623027,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002631654,"about_ca_topic_score_gemma":6.508977e-7,"domain_scores_codex":[0.9974937,0.0004700513,0.0006307141,0.0005981025,0.0003260075,0.0004813639],"domain_scores_gemma":[0.9972156,0.001404215,0.0002573573,0.0007306257,0.0002118759,0.0001803675],"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":[0.000009886804,0.0002395622,0.01041162,0.0002040987,0.00002645944,0.000006785462,0.001397534,0.00000939757,0.00001900028,0.9850776,0.0002166427,0.002381478],"study_design_scores_gemma":[0.000980348,0.00007261147,0.003748818,0.00009723973,0.00003026412,0.00003940044,0.00009961865,0.0005788525,0.0003218105,0.9929103,0.0008275728,0.0002931608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9909779,0.000306482,0.001267729,0.0001515338,0.0008461097,0.000695027,0.000005503598,0.0002597384,0.005489983],"genre_scores_gemma":[0.9752156,0.000008830008,0.02458804,0.00004060349,0.0000358637,0.000006680249,0.000002411976,0.00002983965,0.0000720848],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02332032,"threshold_uncertainty_score":0.9682047,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04527451832759227,"score_gpt":0.3025124357384132,"score_spread":0.257237917410821,"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."}}