{"id":"W2887864120","doi":"10.1090/tran/7178","title":"𝔸¹-equivalence of zero cycles on surfaces","year":2017,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Zero (linguistics); Equivalence (formal languages); Pure mathematics; 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":[],"consensus_categories":[],"category_scores_codex":[0.0002281543,0.0001487905,0.000489048,0.000015288,0.0003823233,0.00002239024,0.0006368114,0.00004446361,0.000104904],"category_scores_gemma":[0.0003628655,0.00009413994,0.0005355645,0.0001199921,0.001195,0.00009220117,0.00003261201,0.000158891,0.000007354809],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003139784,"about_ca_system_score_gemma":0.00002553532,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001049423,"about_ca_topic_score_gemma":0.000007390146,"domain_scores_codex":[0.9987442,0.00005910302,0.0004560693,0.0001671811,0.0003895509,0.0001838702],"domain_scores_gemma":[0.9973061,0.0007410737,0.0007810042,0.001020778,0.00007812082,0.00007292725],"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":[0.0002290662,0.005250971,0.001798186,0.003018383,0.0012956,8.820035e-7,0.005183974,0.004773466,0.04211831,0.89746,0.000659283,0.0382119],"study_design_scores_gemma":[0.000543927,0.0002642667,0.005976995,0.0005426035,0.0002690436,0.000003731842,0.001060147,0.02204342,0.01181046,0.9571328,0.00003901378,0.0003135739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5004742,0.000004728805,0.4974344,0.0003445382,0.0000533414,0.0002094512,0.00003793721,0.00002771022,0.001413694],"genre_scores_gemma":[0.9649939,0.00002506538,0.03457478,0.0000204677,0.0000113275,0.00001516265,2.93199e-7,0.00001776901,0.0003412444],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4645196,"threshold_uncertainty_score":0.4403028,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04743139382149542,"score_gpt":0.3430519112193129,"score_spread":0.2956205173978175,"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."}}