{"id":"W4406624659","doi":"10.4153/s0008439524000900","title":"Small Mahler measures with bounds on the house and shortness","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Mathematics education","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00129182,0.000517414,0.000673523,0.001728048,0.0008692758,0.001965007,0.001045176,0.0005372068,0.009032111],"category_scores_gemma":[0.01096867,0.0003024049,0.0007459163,0.001007149,0.002604147,0.004491701,0.00217653,0.001804654,0.0007259031],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001198219,"about_ca_system_score_gemma":0.0004574851,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004278276,"about_ca_topic_score_gemma":0.0006184475,"domain_scores_codex":[0.9987046,0.0002139134,0.00007776501,0.0002824606,0.0004835528,0.0002377225],"domain_scores_gemma":[0.9904701,0.006123173,0.0009533367,0.001180895,0.000552355,0.0007202136],"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":[0.0003968781,0.00006273521,0.004045413,0.0001744505,0.0000408167,0.0002113547,0.0005254881,0.008117996,0.01333732,0.9319072,0.002197159,0.0389832],"study_design_scores_gemma":[0.00005123368,0.0003411267,0.003849589,0.00006068417,0.00005478359,0.000551381,0.0002470386,0.0586374,0.0246163,0.9010136,0.01049128,0.00008556354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7171279,0.00105983,0.2488829,0.001358418,0.0001307201,0.00007483151,0.0004470693,0.0005357929,0.03038253],"genre_scores_gemma":[0.9614175,0.0002318692,0.03340879,0.0001368098,0.0001605107,0.00007510024,0.0001875036,0.00007516336,0.004306803],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009032111,"threshold_uncertainty_score":0.03021538,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08704590388008507,"score_gpt":0.2772639407819268,"score_spread":0.1902180369018418,"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."}}