{"id":"W4396867864","doi":"10.1007/s00209-024-03503-x","title":"Extrinsic geometry of calibrated submanifolds","year":2024,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Geometry; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"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","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002124427,0.0009547283,0.001975273,0.001828952,0.0001666448,0.0006196141,0.0009488832,0.0008775211,0.00873985],"category_scores_gemma":[0.001067497,0.00078876,0.001165994,0.006896892,0.0002212919,0.0006253007,0.0004271328,0.001103237,0.004934093],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000221115,"about_ca_system_score_gemma":0.0003461921,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009051113,"about_ca_topic_score_gemma":0.00001375135,"domain_scores_codex":[0.9938341,0.0002886871,0.002250884,0.001094543,0.001519302,0.001012439],"domain_scores_gemma":[0.995391,0.001589561,0.0006354692,0.001632681,0.0003758183,0.0003755094],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00003436409,0.001031218,0.000334595,0.01181872,0.004583758,0.0003437344,0.002632149,0.00003151218,0.002306085,0.871914,0.09425084,0.01071899],"study_design_scores_gemma":[0.001891776,0.0006964275,0.0009374422,0.008338296,0.0117698,0.0001917863,0.00250771,0.04282026,0.01929695,0.02602046,0.8822193,0.003309774],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"review","genre_gemma":"empirical","genre_scores_codex":[0.254499,0.4814085,0.113672,0.002168136,0.009012584,0.003120285,0.001096287,0.00202102,0.1330022],"genre_scores_gemma":[0.9731349,0.001707096,0.0098999,0.00008139118,0.001058522,0.00004865165,0.0001058101,0.0002910567,0.01367266],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8458936,"threshold_uncertainty_score":0.9994563,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02508393973798234,"score_gpt":0.2779387900725913,"score_spread":0.252854850334609,"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."}}