{"id":"W4230715781","doi":"10.1090/dol/026/15","title":"Section 15. Three Pretty Theorems in Geometry","year":2003,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Section (typography); Geometry; Mathematics; Computer science","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":[0.0009557648,0.0008128484,0.001493133,0.0001370724,0.0001932187,0.00009561072,0.0005387232,0.0005597587,0.001304286],"category_scores_gemma":[0.0002140369,0.000722042,0.0009259376,0.00013347,0.0009685848,0.0000439913,0.0001876177,0.00121315,0.0002351152],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003009611,"about_ca_system_score_gemma":0.00009786051,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001362115,"about_ca_topic_score_gemma":0.00003579796,"domain_scores_codex":[0.9964002,0.00004463505,0.001284179,0.0007950342,0.0008072725,0.0006687112],"domain_scores_gemma":[0.9960232,0.001318734,0.0009486962,0.001335623,0.0001269039,0.0002468613],"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":[0.000004891644,0.0001537791,0.000005689715,0.0006048499,0.0002090688,0.000004150318,0.0007332093,6.409743e-7,0.00004237343,0.9655368,0.02935672,0.003347829],"study_design_scores_gemma":[0.0002737746,0.00008001201,0.000003897719,0.0004189971,0.0001967759,0.00002918363,0.0002376437,0.0005075688,0.00004715675,0.9551616,0.04229383,0.000749511],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.001275588,0.0000600949,0.03875937,0.0002638722,0.00009257327,0.001620544,0.00005323066,0.0002799606,0.9575948],"genre_scores_gemma":[0.008352545,0.0001258796,0.2463568,0.001817779,0.0007777908,0.000922374,0.00005040006,0.0009140159,0.7406824],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.2169124,"threshold_uncertainty_score":0.9996086,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03141418629051076,"score_gpt":0.2813542807743772,"score_spread":0.2499400944838665,"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."}}