{"id":"W4413722893","doi":"10.4171/dm/984","title":"Hilbert’s 13th problem in prime characteristic","year":2025,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Universities Space Research Association","keywords":"Mathematics; Prime (order theory); Pure mathematics; Algebra over a field; Combinatorics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004099572,0.0002677168,0.0004804113,0.0002244588,0.00007251534,0.00008039397,0.000428609,0.0001030027,0.0006751395],"category_scores_gemma":[0.000512137,0.0002463319,0.00008095904,0.0003806677,0.00007581359,0.0002494698,0.0002281511,0.0002655994,0.0002149352],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002622839,"about_ca_system_score_gemma":0.00006562062,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007723973,"about_ca_topic_score_gemma":0.00000999641,"domain_scores_codex":[0.9981229,0.00006699993,0.0007320821,0.0003792077,0.0002692514,0.0004295657],"domain_scores_gemma":[0.9983694,0.0005890895,0.0001880369,0.0007490232,0.00003979899,0.0000646499],"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":[0.00001221391,0.0003234795,0.0003260384,0.0005536756,0.00004214609,0.00001517329,0.0006109836,1.775407e-7,0.000664947,0.9948385,0.001445293,0.001167338],"study_design_scores_gemma":[0.0006133582,0.00002202286,0.0002477338,0.0005212305,0.00003881302,0.000007341859,0.00009987249,0.00008860257,0.003103436,0.9907547,0.004275462,0.0002273821],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4987749,0.0002986047,0.09337103,0.007295935,0.0009126015,0.005151592,0.00002914907,0.0009786589,0.3931875],"genre_scores_gemma":[0.6230164,0.00003996611,0.3391743,0.0007237815,0.0000990104,0.0006080118,0.00001662987,0.0001089546,0.03621301],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3569745,"threshold_uncertainty_score":0.9999989,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02383604365927382,"score_gpt":0.3417951446317096,"score_spread":0.3179591009724358,"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."}}