{"id":"W4413099444","doi":"10.1016/j.aim.2025.110448","title":"p-typical curves on p-adic Tate twists and de Rham–Witt forms","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of British Columbia; Harvard University; National Science Foundation","keywords":"Mathematics; 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":[],"consensus_categories":[],"category_scores_codex":[0.0007716134,0.000208181,0.0003853082,0.0001484345,0.00005191987,0.00002126515,0.0002228183,0.00009645892,0.00007431959],"category_scores_gemma":[0.001318993,0.0001696349,0.00005596273,0.0003478231,0.000160648,0.0001976175,0.00009114563,0.0002659758,0.00002457785],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005782519,"about_ca_system_score_gemma":0.00003322706,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.761718e-7,"about_ca_topic_score_gemma":0.000007143348,"domain_scores_codex":[0.9987508,0.00006024112,0.0004292666,0.0002360491,0.0001866216,0.0003370141],"domain_scores_gemma":[0.9978335,0.001577416,0.0001291006,0.0003689991,0.00002812743,0.00006289042],"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":[0.00005169289,0.000343123,0.001071444,0.003558667,0.00002822074,0.00001886344,0.001227111,0.00001131489,0.00002526609,0.9872209,0.0005162736,0.005927101],"study_design_scores_gemma":[0.0004389124,0.0000495691,0.0004928235,0.001666708,0.00003137392,0.00002053591,0.0004330637,0.0003536359,0.000638757,0.9916599,0.004036486,0.0001781802],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8897087,0.008540817,0.03127653,0.0007894383,0.0002809648,0.0007050694,0.00001059467,0.0001978458,0.06849007],"genre_scores_gemma":[0.9490014,0.004472894,0.04132829,0.001035067,0.0000421333,0.00007826128,0.000004028962,0.00003969994,0.003998233],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06449184,"threshold_uncertainty_score":0.6917512,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01385261247460823,"score_gpt":0.3302377774251359,"score_spread":0.3163851649505277,"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."}}