{"id":"W3106260003","doi":"10.1112/s0010437x17007515","title":"Rational points on hyperelliptic curves having a marked non-Weierstrass point","year":2017,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; University of Toronto","funders":"","keywords":"Mathematics; Hyperelliptic curve; Genus; Hyperelliptic curve cryptography; Pure mathematics; Fixed point; Infinity; Group (periodic table); Mathematical analysis; Algebra over a field","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":[0.0004309186,0.0006490345,0.0006874976,0.002454489,0.001492697,0.001501932,0.0005549071,0.0006350859,0.002985214],"category_scores_gemma":[0.002133793,0.0002447508,0.0008112936,0.001030596,0.002208064,0.002390493,0.001469583,0.0007451025,0.0004390924],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009831534,"about_ca_system_score_gemma":0.0003437725,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009873441,"about_ca_topic_score_gemma":0.0004284524,"domain_scores_codex":[0.9995812,0.00005100771,0.00002259444,0.0001183443,0.000128067,0.00009881314],"domain_scores_gemma":[0.9990523,0.0002341013,0.0002678221,0.0001177191,0.000124307,0.0002036211],"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":[0.0006527374,0.0001185783,0.02458325,0.0002865247,0.000112434,0.004298298,0.002547274,0.03589519,0.04311095,0.85067,0.001167582,0.0365573],"study_design_scores_gemma":[0.0001373754,0.0006302085,0.03331048,0.0001610759,0.0001615504,0.004897801,0.003036713,0.1120457,0.02794358,0.7999324,0.01754923,0.0001938002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9826753,0.0003566812,0.009942832,0.0001180021,0.00001532083,0.00001244017,0.00005904325,0.00004172368,0.006778596],"genre_scores_gemma":[0.9935465,0.0003269684,0.002643845,0.00001756117,0.00003913185,0.00001742946,0.0001374626,0.00001550584,0.003255534],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002985214,"threshold_uncertainty_score":0.00998652,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04180980427589012,"score_gpt":0.311978235707418,"score_spread":0.2701684314315279,"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."}}