{"id":"W2032909198","doi":"10.48550/arxiv.0903.5299","title":"Systolic inequalities and minimal hypersurfaces","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Inequality; Mathematics; Mathematical economics; Pure mathematics; Economics; Calculus (dental); Mathematical analysis; Medicine; Orthodontics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000601833,0.0005746561,0.0004265166,0.00117036,0.00100767,0.00121726,0.000652269,0.0004773084,0.01005515],"category_scores_gemma":[0.002110313,0.0001811212,0.0005906375,0.0007657661,0.002191757,0.003127959,0.002390501,0.00190773,0.0007752591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00101118,"about_ca_system_score_gemma":0.0004701544,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007858673,"about_ca_topic_score_gemma":0.001013775,"domain_scores_codex":[0.9995048,0.0000854092,0.00002799807,0.00007066626,0.0001994425,0.0001116971],"domain_scores_gemma":[0.9992511,0.0003095138,0.00007928976,0.00005939083,0.0001815518,0.000119127],"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":[0.000009400556,0.00000394851,0.0001110848,0.00002561133,0.000003233476,0.00006148668,0.00005944559,0.0002969645,0.001124217,0.9932771,0.001187143,0.003840447],"study_design_scores_gemma":[0.00000413992,0.0000150857,0.0003355079,0.00001312672,0.000003278837,0.00009625957,0.00006411053,0.002167942,0.0006563418,0.989381,0.007256567,0.000006631156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2579142,0.005294205,0.2787427,0.007486049,0.001328151,0.00005270376,0.0007223081,0.0003884502,0.4480712],"genre_scores_gemma":[0.9572325,0.001350949,0.02023764,0.0006391398,0.0007173463,0.00005036093,0.0003514471,0.00009561129,0.01932503],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01005515,"threshold_uncertainty_score":0.03363782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1331282365524127,"score_gpt":0.3315119347147991,"score_spread":0.1983836981623863,"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."}}