{"id":"W4404248344","doi":"10.4153/s0008414x24000592","title":"On elements of prescribed norm in maximal orders of a quaternion algebra","year":2024,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Quaternion; Algebra over a field; Norm (philosophy); Pure mathematics; Geometry","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":[0.001132067,0.0001530602,0.0005575162,0.001454677,0.00002206913,0.00002445232,0.0002996929,0.00009113788,0.0004313556],"category_scores_gemma":[0.001138929,0.0001245804,0.0002221695,0.0009016789,0.00007779713,0.0001046325,0.0000146723,0.0002350794,0.00001166705],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001656823,"about_ca_system_score_gemma":0.0005884575,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009394825,"about_ca_topic_score_gemma":0.005193993,"domain_scores_codex":[0.9979549,0.00004805992,0.001215903,0.0001053592,0.0004223379,0.0002534113],"domain_scores_gemma":[0.998316,0.0005229983,0.0005370122,0.0002220571,0.0001886227,0.0002132749],"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":[0.00009956385,0.001139934,0.01259716,0.007545952,0.002604563,0.0009532891,0.02654971,0.0003850224,0.0003532382,0.907142,0.02574244,0.01488716],"study_design_scores_gemma":[0.001611316,0.0009843672,0.001133005,0.004346238,0.0007900962,0.0001601703,0.006268175,0.007949261,0.002015566,0.9730573,0.00119217,0.0004923704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9870745,0.0004471711,0.01047685,0.0002181221,0.0001534024,0.0001458397,0.00002784221,0.000005541896,0.001450714],"genre_scores_gemma":[0.9893972,0.00002310917,0.01022316,0.00002120216,0.00003102737,0.000001564928,0.000001739638,0.00002629749,0.0002747008],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06591529,"threshold_uncertainty_score":0.5080242,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03073008297479898,"score_gpt":0.2822497679743338,"score_spread":0.2515196849995348,"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."}}