{"id":"W2615108617","doi":"10.2140/involve.2017.10.881","title":"Integer solutions to x2+ y2= z2−k for a fixedinteger value k","year":2017,"lang":"en","type":"article","venue":"Involve a Journal of Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Integer (computer science); Mathematics; Radical of an integer; Value (mathematics); Integer points in convex polyhedra; Combinatorics; Discrete mathematics; Integer programming; Prime factor; Branch and price; Mathematical optimization; Computer science; Statistics; Prime (order theory)","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":[0.0008248904,0.0001202294,0.0002612923,0.000142287,0.0003331593,0.0003791854,0.00138477,0.00004697794,0.000006484307],"category_scores_gemma":[0.001063547,0.00009337622,0.0002051755,0.00007367216,0.0000442554,0.0005854254,0.0003015385,0.0001394837,0.00003447145],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005607643,"about_ca_system_score_gemma":0.0001517413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008137182,"about_ca_topic_score_gemma":0.000007220337,"domain_scores_codex":[0.9988547,0.00001801944,0.0004874438,0.000125133,0.0002721327,0.0002425793],"domain_scores_gemma":[0.9980522,0.0003318035,0.0006141386,0.0004606551,0.000375396,0.0001657609],"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":[0.00004667041,0.0008888793,0.00009199161,0.0002318788,0.0003074037,0.00005216294,0.01769216,0.003245647,0.006314258,0.8328518,0.07009544,0.06818171],"study_design_scores_gemma":[0.001116484,0.0007400143,0.0004967475,0.0006890935,0.00007145868,0.0002754701,0.0003477403,0.2706086,0.004217569,0.707777,0.01328154,0.0003783052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02751753,0.00009410753,0.965459,0.005449718,0.0009000867,0.0001666154,0.000003338789,0.00001932232,0.0003902514],"genre_scores_gemma":[0.5717603,0.00000966576,0.4268557,0.0005440722,0.0004805619,0.00001046361,3.433339e-7,0.0000131535,0.0003257955],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5442427,"threshold_uncertainty_score":0.3807772,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06341878435296348,"score_gpt":0.3071312134433165,"score_spread":0.243712429090353,"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."}}