{"id":"W3090503505","doi":"10.1142/s1793042121500378","title":"Conjugates of Pisot numbers","year":2020,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Parameterized complexity; Conjugate; Dimension (graph theory); abc conjecture; Reciprocal; Lonely runner conjecture","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009689876,0.0005754785,0.0007213129,0.001340243,0.001708904,0.003130748,0.000623132,0.0007867732,0.008503058],"category_scores_gemma":[0.005445785,0.0003462224,0.0007065574,0.0007963781,0.003473682,0.005988278,0.002592954,0.001684673,0.0009663707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001460838,"about_ca_system_score_gemma":0.0005682622,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003555174,"about_ca_topic_score_gemma":0.0001931487,"domain_scores_codex":[0.9987876,0.0002249896,0.00007366809,0.0003292946,0.0003663861,0.0002180884],"domain_scores_gemma":[0.9982929,0.0006400455,0.0002993209,0.0002687018,0.0001928735,0.0003061413],"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":[0.00006840101,0.00002087004,0.001132273,0.00003462836,0.000004986362,0.00009429325,0.0001788368,0.001234627,0.00128271,0.9912167,0.0003831642,0.004348565],"study_design_scores_gemma":[0.00002009103,0.0001165502,0.00137037,0.00004138737,0.00002420171,0.0007029246,0.0002183335,0.01614903,0.007733491,0.9609684,0.01261377,0.0000415324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8230084,0.0009450358,0.08841982,0.0008929075,0.0003016164,0.00006145499,0.0001468587,0.0002736288,0.08595029],"genre_scores_gemma":[0.9870887,0.0002344701,0.006702933,0.0001172116,0.0001401291,0.00002502009,0.00008977477,0.00005618535,0.005545401],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008503058,"threshold_uncertainty_score":0.02844554,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03747367148467502,"score_gpt":0.3215719429775541,"score_spread":0.2840982714928791,"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."}}