{"id":"W3038579364","doi":"10.1007/s10474-020-01061-2","title":"On certain D(9) and D(64) Diophantine triples","year":2020,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brock University","funders":"","keywords":"Mathematics; Diophantine equation; Pure mathematics; Discrete mathematics","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":[0.001037566,0.0009751112,0.001162571,0.002978778,0.006131783,0.003706068,0.001259184,0.002435168,0.01374189],"category_scores_gemma":[0.002565357,0.0007402703,0.001186351,0.002661892,0.004260674,0.004375298,0.00289475,0.003326686,0.002176754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002239948,"about_ca_system_score_gemma":0.001003278,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002373775,"about_ca_topic_score_gemma":0.003020019,"domain_scores_codex":[0.9991881,0.0001997727,0.00004743032,0.0001335035,0.0001855207,0.0002456244],"domain_scores_gemma":[0.9989473,0.0003976481,0.0001668107,0.0001344133,0.0001413017,0.0002124559],"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":[0.00004431753,0.00001463045,0.0001083143,0.00002969666,0.000005604155,0.0001661492,0.0001869289,0.0003279038,0.0002591215,0.9961857,0.001121283,0.001550283],"study_design_scores_gemma":[0.00002100891,0.000007105545,0.0001174714,0.00001319398,0.000005376149,0.0001195876,0.0001110059,0.000977485,0.0001277094,0.9968713,0.001619061,0.000009706313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6381013,0.001252491,0.05273623,0.004227559,0.001055475,0.0001203337,0.001134409,0.0003215548,0.3010506],"genre_scores_gemma":[0.9456748,0.0006324533,0.01710823,0.0008208883,0.0004184295,0.0001023105,0.0007365929,0.0001416367,0.03436467],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01374189,"threshold_uncertainty_score":0.04597116,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0179658696865983,"score_gpt":0.2696662249288985,"score_spread":0.2517003552423002,"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."}}