{"id":"W7118274237","doi":"10.4310/cjm.260107045301","title":"Secondary terms in the first moment of $&amp;#92;left|&amp;#92;operatorname{Sel}_2(E)&amp;#92;right|$","year":2025,"lang":"en","type":"article","venue":"Cambridge Journal of Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Moment (physics); Field (mathematics); Moment problem; Relation (database); Work (physics)","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":[0.001156698,0.001728057,0.001437509,0.003158486,0.003723194,0.005561997,0.001647673,0.002792554,0.1184977],"category_scores_gemma":[0.003399424,0.0007386383,0.001639382,0.001465118,0.003818221,0.007191363,0.003182859,0.006019392,0.03026748],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002167753,"about_ca_system_score_gemma":0.00136074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001584743,"about_ca_topic_score_gemma":0.0024374,"domain_scores_codex":[0.9979934,0.000280096,0.00009418329,0.0003767055,0.0006113618,0.0006442557],"domain_scores_gemma":[0.9982362,0.0003851684,0.0001605051,0.0003494912,0.0005131336,0.0003554783],"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":[0.00006295499,0.00003992331,0.000088628,0.00006118315,0.000009262503,0.0002366503,0.000313182,0.0001151191,0.002933025,0.9713213,0.0184517,0.006366997],"study_design_scores_gemma":[0.00003774467,0.00005659969,0.001064684,0.00008360888,0.0000202696,0.0009232317,0.0002745768,0.003411567,0.007613997,0.9114622,0.0749628,0.00008868194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03775314,0.001083031,0.2061952,0.006452829,0.01056191,0.0001318896,0.001327737,0.004034535,0.7324597],"genre_scores_gemma":[0.3626886,0.0006679104,0.05362391,0.0042969,0.005497317,0.0002762972,0.001175652,0.01503721,0.5567362],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.1184977,"threshold_uncertainty_score":0.3964144,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02860368948900613,"score_gpt":0.3140912279103594,"score_spread":0.2854875384213533,"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."}}