{"id":"W3169644112","doi":"10.1090/jams/1023","title":"Minimal nondegenerate extensions","year":2023,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute; Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; American Institute of Mathematics; Simons Foundation","keywords":"Mathematics; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0009404445,0.0005798339,0.0003908404,0.001052205,0.001708416,0.001542662,0.0008107141,0.0006120548,0.008164222],"category_scores_gemma":[0.001713346,0.0002688712,0.0009657899,0.0003905033,0.002421465,0.004432827,0.004056547,0.001743719,0.001053123],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009298309,"about_ca_system_score_gemma":0.0004957304,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004648806,"about_ca_topic_score_gemma":0.0005044328,"domain_scores_codex":[0.9989865,0.0001308223,0.00007292094,0.0002867765,0.0003302843,0.0001927555],"domain_scores_gemma":[0.9990259,0.0001695376,0.00008989547,0.0001855272,0.0003439685,0.0001851329],"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":[0.00002516115,0.00001332583,0.0003485974,0.00003215681,0.000006348742,0.0001031892,0.0002736537,0.0002861728,0.002710938,0.9904584,0.0004968671,0.005245256],"study_design_scores_gemma":[0.00000793049,0.00003174444,0.0005119055,0.00001655039,0.00001252349,0.0003256297,0.0002217969,0.002517384,0.004470153,0.9849427,0.006924816,0.000016984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5525996,0.0004438202,0.2694052,0.00123762,0.0002345403,0.0001095604,0.0005499141,0.0005109348,0.1749089],"genre_scores_gemma":[0.9605998,0.0001926429,0.02173637,0.0001865966,0.00008957804,0.00006749233,0.0003138489,0.0001275392,0.01668617],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008164222,"threshold_uncertainty_score":0.02731204,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03893799204567529,"score_gpt":0.3183793262323648,"score_spread":0.2794413341866895,"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."}}