{"id":"W3013081730","doi":"10.2140/obs.2020.4.317","title":"Divisor class group arithmetic on C3,4curves","year":2020,"lang":"en","type":"article","venue":"The Open Book Series","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Arithmetic; Mathematics; Divisor (algebraic geometry); Class (philosophy); Group (periodic table); Algebra over a field; Combinatorics; Pure mathematics; Computer science; Physics; Artificial intelligence","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005346283,0.0001967279,0.0002975292,0.00001968848,0.0003044642,0.0001942466,0.001011271,0.00005833285,0.001168978],"category_scores_gemma":[0.000400384,0.0001273125,0.00007577483,0.0001738461,0.0002103981,0.0005407155,0.0005477131,0.0002363907,0.0006238224],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001469343,"about_ca_system_score_gemma":0.0000211612,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001156878,"about_ca_topic_score_gemma":0.000009740686,"domain_scores_codex":[0.9988267,0.0002260799,0.0002340491,0.0002511185,0.0002147663,0.0002472465],"domain_scores_gemma":[0.9987115,0.0005819729,0.0001072241,0.0004777546,0.00002402681,0.0000975742],"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":[0.0003423745,0.00009683157,0.0000428898,0.00006395335,0.00007910961,0.00001105348,0.002862685,0.000001466674,0.0001761664,0.9781869,0.01701976,0.001116777],"study_design_scores_gemma":[0.0006875228,0.000587837,0.0004377388,0.00006923856,0.00007149883,0.00001890693,0.002161403,0.00002314242,0.004948312,0.6917104,0.2989342,0.000349781],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2468216,0.000575644,0.001110947,0.05613884,0.0005112863,0.00235146,0.00005103424,0.0004729155,0.6919663],"genre_scores_gemma":[0.9469297,0.00008791823,0.001427424,0.01031194,0.0003005252,0.0000977048,0.000009059973,0.00007172127,0.04076402],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7001081,"threshold_uncertainty_score":0.9997441,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06920199435149801,"score_gpt":0.2976422053081725,"score_spread":0.2284402109566745,"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."}}