{"id":"W4408920109","doi":"10.1515/forum-2024-0136","title":"Spherical Shalika models on PGU <sub>2,2</sub> and the theta correspondence for (PGSp <sub>4</sub> , PGU <sub>2,2</sub> )","year":2025,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Physics; Combinatorics; Algebra over a field; Pure mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001795914,0.001133635,0.001716121,0.0003779047,0.0009110811,0.0003402918,0.00114845,0.0005266283,0.00002719699],"category_scores_gemma":[0.002441665,0.0008160927,0.0007361,0.00108475,0.0006846726,0.0006534855,0.0007524174,0.0008772318,0.0002142543],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002006986,"about_ca_system_score_gemma":0.0001979369,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002146082,"about_ca_topic_score_gemma":0.00003731969,"domain_scores_codex":[0.9940794,0.0002956663,0.001592101,0.001290472,0.00107629,0.001666047],"domain_scores_gemma":[0.9907116,0.005941705,0.0007980945,0.001902811,0.0003023513,0.0003434405],"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":[0.001389343,0.001059994,0.00003870315,0.002114354,0.0005361045,0.00003863347,0.002178715,0.000529192,0.07111416,0.868002,0.02416592,0.02883287],"study_design_scores_gemma":[0.002739518,0.0002412385,0.00001891488,0.0008774311,0.0003418108,0.0000591729,0.001188791,0.03101126,0.2293414,0.7331552,0.0002871066,0.0007381927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.758078,0.0007138441,0.23021,0.00269073,0.0007023272,0.003229952,0.0001333197,0.0004799445,0.0037618],"genre_scores_gemma":[0.9896855,0.0003128959,0.005804894,0.00169859,0.0002649798,0.001095177,0.00003325292,0.0002644347,0.0008402922],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2316074,"threshold_uncertainty_score":0.999429,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0223274697384916,"score_gpt":0.2815750912583919,"score_spread":0.2592476215199003,"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."}}