{"id":"W3102327505","doi":"","title":"MORDELL’S EQUATION: A CLASSICAL APPROACH","year":2016,"lang":"en","type":"article","venue":"","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":24,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Diophantine equation; Thue equation; Logarithm; Diophantine set; Lattice (music); Connection (principal bundle); Lattice reduction; Reduction (mathematics); Pure mathematics; Discrete mathematics; Applied mathematics; Mathematical analysis; Statistics; Geometry","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":[0.0006948215,0.0006190679,0.0006156514,0.001508095,0.001015542,0.001490228,0.001657212,0.001118376,0.009160507],"category_scores_gemma":[0.001843194,0.0002594589,0.0008935236,0.001040048,0.002837131,0.003331651,0.002328585,0.003271205,0.00264404],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001402126,"about_ca_system_score_gemma":0.001110242,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001561521,"about_ca_topic_score_gemma":0.002373729,"domain_scores_codex":[0.9995614,0.00009429619,0.00001616399,0.00006651163,0.0001899522,0.00007165061],"domain_scores_gemma":[0.9997219,0.0000903542,0.00002077142,0.00006113823,0.00007489505,0.00003091805],"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":[0.000006497723,0.00001255354,0.00004802765,0.00003033767,0.000003262584,0.00002060279,0.00007370083,0.001300852,0.0003308429,0.9888331,0.002247238,0.007093041],"study_design_scores_gemma":[0.00001140346,0.00001283576,0.00005865301,0.00001983319,0.000003599428,0.00004310135,0.00003391851,0.01281072,0.0004917304,0.9708596,0.01564318,0.00001144135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0466258,0.004054585,0.5671048,0.01317158,0.002619361,0.0001495177,0.0003841078,0.0003431736,0.3655471],"genre_scores_gemma":[0.5286822,0.004441318,0.2988723,0.00505066,0.002767441,0.0003154694,0.0004217665,0.0003652895,0.1590836],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.009160507,"threshold_uncertainty_score":0.03064501,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02596977584116452,"score_gpt":0.2225772172104383,"score_spread":0.1966074413692738,"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."}}