{"id":"W2101596584","doi":"10.1051/ita:2008006","title":"Least Periods of Factors of Infinite Words","year":2008,"lang":"en","type":"article","venue":"RAIRO - Theoretical Informatics and Applications","topic":"semigroups and automata theory","field":"Computer Science","cited_by":51,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Winnipeg","funders":"","keywords":"Fibonacci number; Word (group theory); Mathematics; Mathematical proof; Set (abstract data type); Integer (computer science); Combinatorics; Product (mathematics); Factor (programming language); Infinite set; Discrete mathematics; Arithmetic; Computer science","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":[0.0001595867,0.00009953547,0.0001954527,0.00007619703,0.0001072151,0.00002137714,0.0003952727,0.00005431771,0.00003295302],"category_scores_gemma":[0.00002393626,0.00007727805,0.00005813694,0.0002825125,0.0008224287,0.0001908011,0.0001793636,0.00008290591,0.000006582413],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005171207,"about_ca_system_score_gemma":0.00003275542,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002552346,"about_ca_topic_score_gemma":1.079089e-7,"domain_scores_codex":[0.9991572,0.00001540032,0.0004444275,0.000079556,0.0001658083,0.0001375851],"domain_scores_gemma":[0.9990806,0.000199943,0.0001580387,0.0004107261,0.00006247734,0.00008823881],"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":[0.000001529915,0.00004532684,0.0003917884,0.00003530414,0.000008332619,8.693307e-8,0.002465325,0.00001746481,0.000128052,0.9907274,0.00002340773,0.006155956],"study_design_scores_gemma":[0.001148038,0.0003665215,0.01466969,0.000129936,0.00005423957,0.0000984431,0.003650255,0.3212796,0.01406037,0.6289079,0.01483407,0.0008009843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.295137,0.00005740681,0.6957011,0.00008084098,0.00001637414,0.0001583111,0.00002254648,0.00004628684,0.00878014],"genre_scores_gemma":[0.9758405,0.0000716287,0.02396619,0.00006181607,0.00001213709,0.00001887048,0.00000589021,0.000004299946,0.0000186358],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6807035,"threshold_uncertainty_score":0.3151307,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01167135948446676,"score_gpt":0.2300102654376719,"score_spread":0.2183389059532051,"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."}}