{"id":"W2012996826","doi":"10.1016/j.dam.2009.02.010","title":"There are <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si47.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>k</mml:mi></mml:math>-uniform cubefree binary morphisms for all <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si48.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>k</mml:mi><mml:mo>≥</mml:mo><mml:mn>0</mml:mn></mml:math>","year":2009,"lang":"lv","type":"article","venue":"Discrete Applied Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Winnipeg","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Morphism; Mathematics; Binary number; Word (group theory); Discrete mathematics; Combinatorics; Algorithm; Arithmetic; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity"],"category_scores_codex":[0.004146669,0.003194196,0.001870115,0.000836634,0.00347646,0.003474264,0.006740849,0.003961094,0.0006601519],"category_scores_gemma":[0.001191953,0.004078468,0.003765733,0.001984844,0.002246888,0.002961275,0.004734178,0.003369731,0.004881817],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001421285,"about_ca_system_score_gemma":0.001753487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004706459,"about_ca_topic_score_gemma":0.0003374619,"domain_scores_codex":[0.9805908,0.0003755449,0.004769549,0.004362621,0.004764352,0.005137153],"domain_scores_gemma":[0.9826751,0.002972243,0.005361074,0.006515776,0.0004389613,0.002036879],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001669336,0.001699974,0.000004877688,0.00367453,0.002212275,0.001690922,0.005648503,0.003269922,0.005665036,0.9600232,0.01082399,0.003617479],"study_design_scores_gemma":[0.004116593,0.002503791,0.00004584913,0.003227032,0.002464323,0.001829768,0.003971184,0.9161697,0.03705799,0.01782824,0.007138442,0.003647066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9585816,0.002120163,0.01907057,0.001321638,0.003054545,0.0006714016,0.002291537,0.001396008,0.01149256],"genre_scores_gemma":[0.9462587,0.001916875,0.03723507,0.004085892,0.003120088,0.002550818,0.0027479,0.001606354,0.0004782678],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9421949,"threshold_uncertainty_score":0.9989296,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01851427556991413,"score_gpt":0.2442856418429583,"score_spread":0.2257713662730441,"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."}}