{"id":"W4387844725","doi":"10.1007/s12220-023-01444-1","title":"Complete Metrics with Constant Fractional Higher Order Q-Curvature on the Punctured Sphere","year":2023,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Gravitational singularity; Singularity; Constant curvature; Curvature; Mathematical analysis; Constant (computer programming); Differential geometry; Ode; Pure mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001125707,0.002067592,0.001724219,0.005184098,0.002373733,0.003962302,0.001901429,0.002853595,0.00552588],"category_scores_gemma":[0.004921502,0.0008938353,0.00129822,0.001250028,0.004578345,0.004971971,0.003871483,0.002194394,0.0009703393],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002969402,"about_ca_system_score_gemma":0.001157352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003798697,"about_ca_topic_score_gemma":0.002919534,"domain_scores_codex":[0.9989041,0.0002969343,0.0000639668,0.000195982,0.0003513038,0.0001877537],"domain_scores_gemma":[0.9966538,0.0005648102,0.0007134337,0.000318011,0.0006083066,0.001141642],"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":[0.00006155948,0.00002804553,0.00047925,0.00003683022,0.00001861271,0.0003703515,0.0001764359,0.004889508,0.001712663,0.989412,0.0009020694,0.001912615],"study_design_scores_gemma":[0.00004141761,0.00008498374,0.00177632,0.00002022306,0.00001306756,0.0006088962,0.0001252108,0.03886926,0.0005603257,0.9557315,0.002112674,0.00005619296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8676229,0.001392589,0.06560507,0.002651162,0.0005975611,0.00008025285,0.000488678,0.0003611282,0.06120067],"genre_scores_gemma":[0.9732203,0.0004802719,0.007199052,0.0003151976,0.0006177497,0.00003190617,0.0003511302,0.0001387347,0.01764576],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00552588,"threshold_uncertainty_score":0.02154458,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08454324973491,"score_gpt":0.324444746661199,"score_spread":0.239901496926289,"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."}}