{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001091695,0.00005869332,0.00006026365,0.00006261883,0.00005366182,0.00005000746,0.000400164,0.00003471872,0.00004580724],"category_scores_gemma":[0.00001364007,0.00002986764,0.00005497103,0.0002648616,0.00005125925,0.0002195829,0.0001033406,0.00003280225,0.0001336067],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007297489,"about_ca_system_score_gemma":0.00002154261,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003427268,"about_ca_topic_score_gemma":0.000001043281,"domain_scores_codex":[0.9993459,0.00002769402,0.00009179585,0.0002207463,0.0001622033,0.0001516471],"domain_scores_gemma":[0.9994835,0.000075593,0.00001765405,0.000331753,0.00002680627,0.00006475174],"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":[0.000001022665,0.0000524771,0.0002662503,0.000001713292,0.000005668464,0.000001968395,0.00005199856,0.000003524506,0.0003378514,0.8839019,0.002043693,0.1133319],"study_design_scores_gemma":[0.003991064,0.0005228847,0.03158528,0.00006809081,0.00002710004,0.0001761423,0.0001004099,0.3141528,0.01265147,0.4493585,0.1858527,0.001513513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0008664394,0.00004186902,0.9457783,0.004771251,0.00009211569,0.0000504001,1.924095e-7,0.0001547716,0.04824467],"genre_scores_gemma":[0.7922735,0.00001193854,0.2050478,0.0002459385,0.00006070017,0.0000114898,2.116379e-7,0.000003136485,0.002345208],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7914071,"threshold_uncertainty_score":0.1717288,"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."}}