{"id":"W4412860337","doi":"10.1112/jlms.70257","title":"Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case","year":2025,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Quadratic equation; Galois group; Pure mathematics; Finite field; Combinatorics; Discrete mathematics; Algebra over a field; Geometry","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":[],"consensus_categories":[],"category_scores_codex":[0.003515232,0.0002613349,0.0007645868,0.00005359201,0.0003644814,0.00007712447,0.0008765241,0.0001968346,0.0002904091],"category_scores_gemma":[0.004528462,0.0001309863,0.001280192,0.0005302417,0.0007072044,0.0001310729,0.0002717093,0.0008177661,0.00001136077],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009983883,"about_ca_system_score_gemma":0.0001868845,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000673206,"about_ca_topic_score_gemma":0.000002698479,"domain_scores_codex":[0.996978,0.0004794222,0.001403148,0.0001560657,0.0006262767,0.000357058],"domain_scores_gemma":[0.9910424,0.007160241,0.0007123281,0.0006874024,0.0002797661,0.0001177987],"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":[0.0002704581,0.001580786,0.0004591239,0.002528616,0.00154692,0.0002001331,0.01163545,0.00004028239,0.002112641,0.9501141,0.02808815,0.001423326],"study_design_scores_gemma":[0.0009408505,0.0001249765,0.0001690431,0.0006089261,0.0007466545,0.001886644,0.004840936,0.001165388,0.002236862,0.9867353,0.0003747279,0.0001696444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9494888,0.0007163688,0.03372383,0.01220473,0.0004722259,0.0004762145,0.00001871614,0.00002748859,0.002871669],"genre_scores_gemma":[0.988883,0.00004391868,0.008856668,0.001211659,0.000178856,0.000006926767,2.740614e-7,0.00002539409,0.0007932643],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03939428,"threshold_uncertainty_score":0.542132,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01807841099800236,"score_gpt":0.2915414012542344,"score_spread":0.2734629902562321,"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."}}