{"id":"W4408041512","doi":"10.1215/00127094-2024-0030","title":"The characteristic gluing problem for the Einstein equations and applications","year":2025,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Einstein; Mathematical analysis; Calculus (dental); Applied mathematics; Mathematical physics; Medicine","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":[0.0003614855,0.00008268858,0.0001074599,0.00001280458,0.001010134,0.0003038299,0.0001853077,0.00001719876,0.0000347554],"category_scores_gemma":[0.00003311937,0.00004157647,0.00008444589,0.0000866733,0.0001645462,0.0000428615,0.00005324531,0.0001982193,0.00001448096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009576274,"about_ca_system_score_gemma":0.0000358129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.858243e-7,"about_ca_topic_score_gemma":1.543993e-7,"domain_scores_codex":[0.9993834,0.00002564773,0.0002438765,0.00008275385,0.00008727482,0.0001770197],"domain_scores_gemma":[0.9980401,0.001596489,0.0000777078,0.0001585289,0.00007500704,0.00005213216],"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":[0.000004103869,0.00004111801,0.00001570537,0.00001677954,0.00005647417,4.0554e-8,0.00006126257,0.000004944597,0.00003217385,0.9437071,0.0001600812,0.0559002],"study_design_scores_gemma":[0.0001786373,0.00001023738,0.00004697225,0.00004102429,0.00008041739,0.000001671098,0.0003045934,0.005589134,0.00005240708,0.9795632,0.0140821,0.0000496195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.000946752,0.00009148775,0.980449,0.003932694,0.00003991403,0.0004433928,0.00001129116,0.000008430557,0.01407702],"genre_scores_gemma":[0.9974655,0.000008573669,0.001275795,0.00008980399,0.0003495511,0.0002212323,0.000002726547,0.000008842767,0.0005779878],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9965187,"threshold_uncertainty_score":0.7769239,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008642520794727085,"score_gpt":0.2603132444256193,"score_spread":0.2516707236308922,"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."}}