{"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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008740673,0.0001444926,0.0003512737,0.00008111591,0.00002378264,0.00002266108,0.000734579,0.00007334877,0.01180581],"category_scores_gemma":[0.002206077,0.000122488,0.0002806909,0.0001398098,0.0001596639,0.0002454855,0.00009918497,0.0002740719,0.0001322388],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003549966,"about_ca_system_score_gemma":0.00007551763,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002042267,"about_ca_topic_score_gemma":3.293202e-7,"domain_scores_codex":[0.9981615,0.0001997016,0.0007614084,0.000114998,0.0006228482,0.0001395365],"domain_scores_gemma":[0.9967341,0.001579075,0.0008194246,0.0001224174,0.0006001702,0.0001447866],"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":[0.001593955,0.0003423645,0.004209085,0.00007774978,0.00139473,0.0002020207,0.003890147,0.00001522807,0.002253174,0.9442242,0.0372991,0.004498218],"study_design_scores_gemma":[0.001128756,0.0001132508,0.0002583823,0.0001523387,0.00008199029,0.0004455828,0.001463381,0.00001464054,0.01207794,0.97124,0.01286125,0.0001624619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9064403,0.0001874633,0.01723519,0.004001788,0.001788743,0.0001394488,0.0001675755,0.00005541002,0.06998404],"genre_scores_gemma":[0.9938565,0.00002526901,0.004054812,0.0009236233,0.0006322153,0.000001176815,0.000004527637,0.00002540979,0.0004764911],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08741614,"threshold_uncertainty_score":0.9890975,"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."}}