{"id":"W3006325597","doi":"10.4007/annals.2020.191.2.2","title":"A conjecture of Erdős, supersingular primes and short character sums","year":2020,"lang":"en","type":"article","venue":"Warwick Research Archive Portal (University of Warwick)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Diophantine equation; Conjecture; Elliptic curve; Character (mathematics); Complex multiplication; Integer (computer science); Number theory; Supersingular elliptic curve; Combinatorics; Discrete mathematics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00280577,0.0007973174,0.00154144,0.001609606,0.002885734,0.004586602,0.001250052,0.001522832,0.008134487],"category_scores_gemma":[0.01259043,0.0005908821,0.00105667,0.001707804,0.007426531,0.01102567,0.005595897,0.004664598,0.001284873],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002318281,"about_ca_system_score_gemma":0.0007852438,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009428334,"about_ca_topic_score_gemma":0.0006032772,"domain_scores_codex":[0.9980122,0.0003794533,0.0001261468,0.0006625803,0.0004215655,0.0003980749],"domain_scores_gemma":[0.9922535,0.004441853,0.0007466407,0.001179905,0.0005771241,0.0008010675],"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":[0.0002296989,0.00002962636,0.001200598,0.00009884035,0.0000170795,0.0001729969,0.0005781927,0.002232974,0.000905577,0.9799808,0.004485226,0.01006834],"study_design_scores_gemma":[0.00003103429,0.00003660546,0.0004932377,0.0000421855,0.00002074971,0.0002606632,0.0001997321,0.003874472,0.001150418,0.9854847,0.008385901,0.00002028502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7024055,0.005158416,0.08670824,0.02488405,0.0009285816,0.00006995681,0.0007653314,0.0005302381,0.1785497],"genre_scores_gemma":[0.9732713,0.001680936,0.0070217,0.000966289,0.0007820129,0.00006770246,0.0003006888,0.00007798088,0.01583129],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008134487,"threshold_uncertainty_score":0.02721256,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06584788738254849,"score_gpt":0.2971942074744989,"score_spread":0.2313463200919504,"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."}}