{"id":"W2952890986","doi":"10.48550/arxiv.0711.0964","title":"Singularities of admissible normal functions","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Gravitational singularity; Mathematics; Conjecture; Equivalence (formal languages); Pure mathematics; Hodge conjecture; Hodge theory; Type (biology); Mathematical analysis; Cohomology","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007989439,0.0002929448,0.0005050158,0.0002446982,0.0001257236,0.00001923972,0.0003590621,0.0004565809,0.001618012],"category_scores_gemma":[0.0006438073,0.0002948837,0.0002827768,0.0002179176,0.0001774714,0.00008123366,0.0005497423,0.0007637743,0.0001590982],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004861631,"about_ca_system_score_gemma":0.0001653555,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005230293,"about_ca_topic_score_gemma":0.00001415519,"domain_scores_codex":[0.9983484,0.0000791631,0.0005864772,0.0003428059,0.0002952525,0.0003479566],"domain_scores_gemma":[0.9980444,0.0004661251,0.00035705,0.0008264899,0.0001806592,0.0001252971],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0005085756,0.002415903,0.7697718,0.009327083,0.002130726,0.0001587965,0.006218103,0.0001589793,0.002244438,0.1784072,0.02497379,0.003684664],"study_design_scores_gemma":[0.001083073,0.0002247997,0.08717433,0.001339235,0.000864836,0.00007317925,0.00334027,0.00003734093,0.04445986,0.8457046,0.01420397,0.001494559],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9522408,0.0004308937,0.006549401,0.00009268783,0.001019539,0.00020953,0.00004162343,0.0001546037,0.03926096],"genre_scores_gemma":[0.9792342,0.00002849948,0.002577951,0.0000903179,0.0004174398,0.00001640792,0.00004575828,0.0000500112,0.01753943],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6825974,"threshold_uncertainty_score":0.9999503,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08827830653103051,"score_gpt":0.3215257918695303,"score_spread":0.2332474853384998,"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."}}