{"id":"W2950672393","doi":"10.48550/arxiv.0802.2651","title":"Multiples of integral points on elliptic curves","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Multiple; Mathematics; Elliptic curve; Mathematical analysis; Arithmetic","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":[0.0006568544,0.0007865712,0.0008497078,0.002190724,0.001431839,0.00292459,0.0006654112,0.0006279887,0.00765379],"category_scores_gemma":[0.003228718,0.0004374649,0.0005513755,0.001027464,0.003060685,0.003326852,0.003700032,0.001722488,0.001002044],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001305447,"about_ca_system_score_gemma":0.0002672674,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003481949,"about_ca_topic_score_gemma":0.0003038218,"domain_scores_codex":[0.9992925,0.00008955428,0.00004081551,0.0001595373,0.0002454442,0.0001721591],"domain_scores_gemma":[0.9988121,0.0003223432,0.0002406766,0.0001767659,0.0001216275,0.0003266076],"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":[0.0005717864,0.00006715883,0.005637388,0.0001563385,0.00003404327,0.000949721,0.001084994,0.006418901,0.01727387,0.9415925,0.001035073,0.02517828],"study_design_scores_gemma":[0.0001001921,0.0001895367,0.004724496,0.0001144867,0.00007514098,0.001264173,0.0008299691,0.02328474,0.01633648,0.9389803,0.01403774,0.0000627015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9285753,0.0006499767,0.02844489,0.0003786799,0.00008318202,0.00003599256,0.00009197238,0.0001488803,0.04159112],"genre_scores_gemma":[0.9876251,0.0002794565,0.00552077,0.00003006314,0.00008537991,0.00001900311,0.00009932488,0.00003225203,0.006308727],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00765379,"threshold_uncertainty_score":0.02560455,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1056708338432564,"score_gpt":0.3182237022134521,"score_spread":0.2125528683701957,"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."}}