{"id":"W2952844098","doi":"10.1007/s00023-016-0483-8","title":"Bartnik’s Mass and Hamilton’s Modified Ricci Flow","year":2016,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Division of Mathematical Sciences; National Science Council; National Science Foundation","keywords":"Scalar curvature; Mathematics; Ricci flow; Diffeomorphism; Mathematical analysis; Ricci curvature; Curvature; Surface (topology); Yamabe flow; Sectional curvature; Mathematical physics; Pure mathematics; Geometry","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":[],"consensus_categories":[],"category_scores_codex":[0.0004858567,0.0002638564,0.0004361731,0.000249108,0.0001363849,0.00006869958,0.0002302716,0.0001568925,0.0003077294],"category_scores_gemma":[0.0003607644,0.0001644877,0.0001937938,0.0004334334,0.00008795658,0.0002191929,0.00006764702,0.0001313868,0.0001844999],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003519231,"about_ca_system_score_gemma":0.00003146926,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001471514,"about_ca_topic_score_gemma":0.00003857208,"domain_scores_codex":[0.998284,0.00009078368,0.000383313,0.000418345,0.0003888869,0.0004346345],"domain_scores_gemma":[0.9985256,0.0004524347,0.0001314459,0.0005363701,0.0001501442,0.0002040456],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002990752,0.0008783209,0.02471988,0.0006153217,0.002037154,0.0002996748,0.004669621,0.00004581996,0.01493265,0.2205869,0.4815502,0.2493654],"study_design_scores_gemma":[0.005314291,0.0005218055,0.02393715,0.0004418886,0.0008761022,0.0001303503,0.0009285346,0.00876815,0.003210679,0.5352095,0.4181745,0.002487007],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8714002,0.003612373,0.08679017,0.003995245,0.0003602516,0.0004792371,0.0000836632,0.0003569962,0.03292184],"genre_scores_gemma":[0.9784094,0.0005402898,0.00791148,0.0003447747,0.0002307846,0.00002234734,0.000007184056,0.0000407034,0.01249302],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3146227,"threshold_uncertainty_score":0.6707615,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03635901499193888,"score_gpt":0.27566053804212,"score_spread":0.2393015230501811,"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."}}