{"id":"W2022441237","doi":"10.1093/imrn/rnm142","title":"A Lower Bound for the Remainder in Weyl's Law on Negatively Curved Surfaces","year":2007,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; McGill University","funders":"","keywords":"History; Library science; Mathematics; Art history; 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":[0.01057724,0.0002582236,0.0003731567,0.0003315637,0.0003180377,0.0004053814,0.001132016,0.000155483,0.000311324],"category_scores_gemma":[0.007678319,0.000170086,0.0001721347,0.0003475396,0.0004466662,0.0002449535,0.0002157812,0.0006268146,0.0001049321],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002256481,"about_ca_system_score_gemma":0.00006660663,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009568767,"about_ca_topic_score_gemma":0.001590343,"domain_scores_codex":[0.9960716,0.0001288245,0.0008800047,0.0003947172,0.001789378,0.0007354364],"domain_scores_gemma":[0.9665487,0.03184919,0.000259939,0.0005320367,0.0006838554,0.0001262254],"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":[0.000157649,0.0009876231,0.00003920952,0.0002461147,0.0001282296,0.00002104,0.001303244,0.00009293813,0.0002430532,0.9953904,0.0009494957,0.0004410304],"study_design_scores_gemma":[0.000702289,0.0001556093,0.0002861811,0.0003670038,0.00001610384,0.000004710483,0.001422224,0.08706628,0.0005542538,0.9034328,0.005774065,0.0002184456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6862485,0.0001432674,0.07860286,0.01126324,0.001256145,0.004446217,0.0001490891,0.0001492783,0.2177414],"genre_scores_gemma":[0.9688639,0.00002081643,0.02715375,0.0002066061,0.0002284276,0.000160199,0.00000704539,0.00006614382,0.003293098],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2826154,"threshold_uncertainty_score":0.919222,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2279147414080052,"score_gpt":0.4806737191416124,"score_spread":0.2527589777336072,"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."}}