{"id":"W2973231219","doi":"10.1080/00150517.2008.12428182","title":"Ramsey Results Involving the Fibonacci Numbers","year":2008,"lang":"en","type":"article","venue":"The Fibonacci quarterly","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba; Simon Fraser University","funders":"","keywords":"Fibonacci number; Pisano period; Mathematics; Combinatorics; Fibonacci polynomials","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","sts"],"consensus_categories":[],"category_scores_codex":[0.001699137,0.0005408012,0.00046937,0.0001326443,0.001398624,0.0005340489,0.004682218,0.0001882238,0.00003784299],"category_scores_gemma":[0.00008863373,0.0003450304,0.0003702614,0.001237491,0.0004385062,0.0008141202,0.0005396997,0.0007725866,0.0006287192],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001981502,"about_ca_system_score_gemma":0.0002883147,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009606123,"about_ca_topic_score_gemma":0.000848153,"domain_scores_codex":[0.9949548,0.0006658401,0.0009629561,0.001234637,0.001109256,0.001072573],"domain_scores_gemma":[0.9942147,0.001542401,0.0003746615,0.003332573,0.0002806584,0.0002550528],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003885484,0.001431301,0.007021606,0.0001001554,0.0004676615,0.000867181,0.15476,0.001701906,0.001132888,0.05144149,0.1596225,0.6210648],"study_design_scores_gemma":[0.007393597,0.003817515,0.1875513,0.000160115,0.0001216602,0.003303929,0.005027499,0.4340227,0.000401102,0.1222964,0.2317602,0.004144005],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5864115,0.00259874,0.3204629,0.04128675,0.009452256,0.004156614,0.00007831794,0.003757389,0.03179549],"genre_scores_gemma":[0.9870752,0.00002170685,0.008830604,0.001680685,0.0006713145,0.00007920963,0.00001093488,0.00004425673,0.001586156],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6169208,"threshold_uncertainty_score":0.9999014,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02225092679870829,"score_gpt":0.2287426049568108,"score_spread":0.2064916781581025,"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."}}