{"id":"W4392270811","doi":"10.48550/arxiv.2402.17075","title":"Continuous family of surfaces translating by powers of Gauss curvature","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Ministry of Science and ICT, South Korea; University of Toronto; Pohang University of Science and Technology; National Research Foundation","keywords":"Curvature; Gaussian curvature; Gauss; Pure mathematics; Computer science; Mathematics; Art; Geometry; Physics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000437739,0.0008089527,0.0005238418,0.002437487,0.001408485,0.001878086,0.0006300074,0.0009884796,0.00424653],"category_scores_gemma":[0.002172163,0.0004114196,0.0008246448,0.0004680688,0.001931938,0.001586136,0.001040357,0.001194783,0.0005174088],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001415075,"about_ca_system_score_gemma":0.0004760598,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001194931,"about_ca_topic_score_gemma":0.0005407538,"domain_scores_codex":[0.9996781,0.0000570616,0.00001370301,0.00007256123,0.0001080165,0.00007057411],"domain_scores_gemma":[0.9992656,0.0001746372,0.0001467988,0.00009227321,0.0001613298,0.00015937],"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":[0.0001412055,0.00005416654,0.004484442,0.00008671015,0.00004244009,0.001369578,0.0008624736,0.01754568,0.04031629,0.9189075,0.0015624,0.01462715],"study_design_scores_gemma":[0.00009335516,0.0003773914,0.01589303,0.0001074951,0.0000928404,0.004372966,0.001316408,0.3509768,0.02599244,0.5828612,0.01775522,0.0001608757],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9085848,0.0003685376,0.06942967,0.0006054704,0.00006748319,0.00005595631,0.000138052,0.0004301428,0.02031984],"genre_scores_gemma":[0.9780302,0.0002803735,0.01232757,0.0000870663,0.0000724957,0.00004172892,0.0001847519,0.0001483724,0.008827346],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00424653,"threshold_uncertainty_score":0.01420605,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06480022678198105,"score_gpt":0.2122384615833411,"score_spread":0.1474382348013601,"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."}}