{"id":"W3126621814","doi":"10.1016/j.jnt.2022.01.010","title":"Hyperbolic Heron triangles and elliptic curves","year":2022,"lang":"en","type":"preprint","venue":"Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Heron; Mathematics; Elliptic curve; Hyperbolic triangle; Mathematical analysis; Pure mathematics; Hyperbolic geometry; Geometry; Algebraic geometry; Geology","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005401418,0.0007730728,0.0007424435,0.002543488,0.001722739,0.003110767,0.001019394,0.00148657,0.01550468],"category_scores_gemma":[0.002887198,0.0004975162,0.0004312231,0.00178344,0.002505116,0.004604114,0.002083812,0.002414233,0.001280769],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001394498,"about_ca_system_score_gemma":0.0004032128,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001109139,"about_ca_topic_score_gemma":0.0008852797,"domain_scores_codex":[0.9996197,0.0001226647,0.00001531309,0.00006565876,0.0001205207,0.00005603273],"domain_scores_gemma":[0.9991329,0.0003535362,0.0001505086,0.00007311986,0.0001234393,0.0001665101],"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":[0.00002338952,0.000009617465,0.0001209747,0.00001882342,0.000002805065,0.00004480394,0.0001491067,0.0004483316,0.0001984345,0.9956851,0.001093334,0.002205404],"study_design_scores_gemma":[0.00001542755,0.000007022999,0.0001811596,0.00001100329,0.000003638276,0.000103832,0.0001342645,0.002024513,0.0001290302,0.9923045,0.005080244,0.000005426621],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5349399,0.005313299,0.06900229,0.009703002,0.002036016,0.00009131284,0.0006359153,0.0002321328,0.3780462],"genre_scores_gemma":[0.9127603,0.001988528,0.01033892,0.0005290969,0.001113028,0.00004683665,0.0003570527,0.0001247518,0.07274158],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01550468,"threshold_uncertainty_score":0.05186832,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08376930889544609,"score_gpt":0.3849979784786945,"score_spread":0.3012286695832484,"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."}}