{"id":"W2051968086","doi":"10.1007/s10114-003-0302-2","title":"On Pairs of Linear Equations in Three Prime Variables","year":2004,"lang":"en","type":"article","venue":"Acta Mathematica Sinica English Series","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Prime (order theory); Mathematics; Representation (politics); Linear equation; Applied mathematics; Discrete mathematics; Combinatorics; Mathematical analysis","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.001693572,0.0002767226,0.0006924844,0.0002330052,0.0001026305,0.00004320147,0.0005996042,0.0001777841,0.0005548197],"category_scores_gemma":[0.01931615,0.0002388216,0.0001531613,0.0005752339,0.0003626699,0.0003974297,0.0001919903,0.0003784653,0.00005883953],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001193634,"about_ca_system_score_gemma":0.0002546209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002126111,"about_ca_topic_score_gemma":0.0001059847,"domain_scores_codex":[0.9974505,0.0001349216,0.0009593497,0.0003520056,0.0006462237,0.0004570157],"domain_scores_gemma":[0.99347,0.004718663,0.0002953748,0.00109877,0.0003002809,0.0001169106],"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":[0.00009301788,0.0008995478,0.00005902403,0.0003365826,0.00009191011,0.000009314171,0.005143675,0.00005610187,0.0003400272,0.9927251,0.0001959436,0.00004978443],"study_design_scores_gemma":[0.0009169649,0.0002428893,0.00005746326,0.0005606054,0.00005373221,0.000004780478,0.001649638,0.0003151038,0.004207655,0.9916295,0.0001242425,0.0002374548],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8505502,0.00004635498,0.02667955,0.002201452,0.0002546876,0.001828064,0.00007098777,0.0005029041,0.1178658],"genre_scores_gemma":[0.9553815,0.00001316909,0.04377909,0.0000293953,0.00007660951,0.00006415947,0.000006843215,0.00006645997,0.0005828155],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1172829,"threshold_uncertainty_score":0.9889446,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05751300078414433,"score_gpt":0.3285436554538918,"score_spread":0.2710306546697475,"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."}}