{"id":"W2953060741","doi":"10.48550/arxiv.math/0201269","title":"Volume, diameter and the minimal mass of a stationary 1-cycle","year":2002,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Riemannian manifold; Bounded function; Manifold (fluid mechanics); Mathematics; Combinatorics; Ricci curvature; RADIUS; Volume (thermodynamics); Physics; Mathematical analysis; Geometry; Curvature; Thermodynamics","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":[0.0004200744,0.0007033156,0.000762642,0.002734879,0.001242129,0.001393216,0.0009705071,0.0005992971,0.002746587],"category_scores_gemma":[0.003528401,0.0003789707,0.0004414604,0.0007711341,0.002106444,0.002669637,0.001787082,0.0007364927,0.0003809675],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008731422,"about_ca_system_score_gemma":0.0003707049,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007617144,"about_ca_topic_score_gemma":0.0007496332,"domain_scores_codex":[0.999701,0.00003697627,0.00001519047,0.00009435308,0.0000789116,0.00007367832],"domain_scores_gemma":[0.9980398,0.0008909923,0.0003400276,0.0001229896,0.0001703889,0.0004358776],"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":[0.0002389447,0.00004083159,0.007117093,0.0002397383,0.00004281122,0.0003557481,0.0005686348,0.02460695,0.0178941,0.9169096,0.002076379,0.02990918],"study_design_scores_gemma":[0.00001779929,0.0001737554,0.006187558,0.00007388599,0.00004925239,0.0006399019,0.0002073809,0.0681617,0.01109843,0.9046041,0.008724254,0.00006203789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.867258,0.004517565,0.09241154,0.0007724317,0.0001300852,0.00002477244,0.0002586683,0.0002690777,0.03435795],"genre_scores_gemma":[0.9882022,0.0009389713,0.007616817,0.00004325591,0.0001198442,0.00003288045,0.0001612556,0.00005976527,0.002825191],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002746587,"threshold_uncertainty_score":0.009188235,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05108750170328219,"score_gpt":0.273081674188647,"score_spread":0.2219941724853648,"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."}}