{"id":"W4412729660","doi":"10.4171/aihpc/158","title":"An infinite double bubble theorem","year":2025,"lang":"en","type":"article","venue":"Annales de l Institut Henri Poincaré C Analyse Non Linéaire","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Bubble; Mathematics; Calculus (dental); Pure mathematics; Physics; Mechanics; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008861998,0.0003980532,0.0006187895,0.0004484883,0.0005414073,0.00007462274,0.000666713,0.0003975468,0.0001806605],"category_scores_gemma":[0.0002368721,0.0003674595,0.000298103,0.0007047143,0.0005523034,0.0005676967,0.0001413231,0.0005934935,0.0001249763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001179357,"about_ca_system_score_gemma":0.0004272323,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009640526,"about_ca_topic_score_gemma":0.0006133031,"domain_scores_codex":[0.997751,0.0002067464,0.0006181431,0.000564317,0.0002106316,0.00064917],"domain_scores_gemma":[0.9979405,0.0003444635,0.0001994452,0.001079822,0.0002147184,0.000221077],"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":[0.0005268209,0.000413835,0.008041615,0.0001737018,0.0004084243,0.0001526217,0.001639862,0.001449998,0.0007927498,0.9771808,0.002622095,0.006597454],"study_design_scores_gemma":[0.00198314,0.0001723572,0.001252886,0.0002252506,0.0004122915,0.00004764379,0.002000305,0.00510626,0.007166094,0.9583673,0.02262806,0.0006384258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7809275,0.001185683,0.1016498,0.001014621,0.000455982,0.0004840774,0.00003142007,0.000499932,0.113751],"genre_scores_gemma":[0.9838908,0.000191372,0.009640262,0.002020213,0.0002308875,0.00005190527,0.00005991668,0.00003867111,0.003875952],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2029634,"threshold_uncertainty_score":0.9998778,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03290878714285578,"score_gpt":0.3585891155963606,"score_spread":0.3256803284535049,"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."}}