{"id":"W2089811934","doi":"10.4153/cmb-2009-014-1","title":"On the Rational Points of the Curve <i>f</i> (<i>X</i>,<i>Y</i>)<i><sup>q</sup></i> = <i>h</i>(<i>X</i>)<i>g</i>(<i>X</i>,<i>Y</i>)","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Integer (computer science); Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003348128,0.0009125716,0.0005561411,0.00185403,0.00165343,0.001599189,0.0007230362,0.0006866084,0.003384404],"category_scores_gemma":[0.001599696,0.0002915007,0.0005060724,0.001433603,0.003778087,0.001329212,0.0007619421,0.001386976,0.0008206075],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001811507,"about_ca_system_score_gemma":0.001034063,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01009891,"about_ca_topic_score_gemma":0.005816923,"domain_scores_codex":[0.9998026,0.00002425367,0.000007526079,0.00003910066,0.00005819673,0.00006839284],"domain_scores_gemma":[0.9996582,0.0001055867,0.0000997481,0.00003793311,0.00005023012,0.00004818271],"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":[0.0008187018,0.0001275307,0.00931709,0.0003205719,0.00005187181,0.003612953,0.004101465,0.04640967,0.03922811,0.8152236,0.002495732,0.07829288],"study_design_scores_gemma":[0.0002347757,0.0003767215,0.01601868,0.0002138873,0.00008613358,0.002737036,0.003398386,0.07763094,0.05994225,0.8140504,0.02508009,0.0002306235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9414781,0.000600435,0.02190148,0.000381555,0.00004257153,0.00003859409,0.0001523167,0.00006942076,0.03533557],"genre_scores_gemma":[0.9870744,0.0004977202,0.007130767,0.00001712156,0.00003004085,0.00001219841,0.000155943,0.00002887447,0.005052988],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01009891,"threshold_uncertainty_score":0.02008027,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0167217050148267,"score_gpt":0.2314087777643856,"score_spread":0.2146870727495589,"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."}}