{"id":"W4404637222","doi":"10.1016/j.jnt.2024.09.008","title":"Rational configuration problems and a family of curves","year":2024,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Mathematics and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Pure mathematics","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":[0.0009510372,0.0006789995,0.001052408,0.004721857,0.003008694,0.003141244,0.001468618,0.001583622,0.005470551],"category_scores_gemma":[0.008379542,0.0005159215,0.0005077723,0.003012036,0.005509099,0.003969298,0.002982087,0.001557086,0.0003778956],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002552139,"about_ca_system_score_gemma":0.0006644552,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001671724,"about_ca_topic_score_gemma":0.0008488739,"domain_scores_codex":[0.9990138,0.0001793633,0.00004126366,0.0002324061,0.0003128148,0.0002203666],"domain_scores_gemma":[0.9973879,0.001128675,0.0004322086,0.0001716718,0.0002915446,0.0005879716],"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":[0.00006988542,0.00003108404,0.004216379,0.00006246913,0.00001861546,0.0004552823,0.000576692,0.01016398,0.0005884163,0.9712483,0.001461551,0.01110754],"study_design_scores_gemma":[0.00005172622,0.00005690844,0.00213334,0.00006845633,0.00001369605,0.0008124559,0.0008037854,0.0445604,0.0005553142,0.9439871,0.006919277,0.000037443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9052653,0.001285721,0.03954271,0.001668812,0.00007933769,0.00004486005,0.0003151679,0.0001713037,0.05162685],"genre_scores_gemma":[0.9868955,0.0004326029,0.007739928,0.00006061119,0.00006618085,0.00004666238,0.0002957058,0.00002475216,0.00443803],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005470551,"threshold_uncertainty_score":0.01851714,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04984852345065068,"score_gpt":0.3317379116085119,"score_spread":0.2818893881578612,"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."}}