{"id":"W4411385048","doi":"10.4171/jfg/167","title":"Noncommutative geometry on the Berkovich projective line","year":2025,"lang":"en","type":"article","venue":"Journal of Fractal Geometry Mathematics of Fractals and Related Topics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University; Western University","funders":"","keywords":"Noncommutative geometry; Projective test; Geometry; Line (geometry); Projective line; Mathematics; Pure mathematics; Projective space","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004448519,0.0003855558,0.000430458,0.001194629,0.00156477,0.001880487,0.0004370137,0.0006200147,0.002979664],"category_scores_gemma":[0.0006249505,0.0002072605,0.0003764415,0.0006774708,0.002656989,0.002052292,0.0009708663,0.001012649,0.000489937],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001062847,"about_ca_system_score_gemma":0.0006406301,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001397746,"about_ca_topic_score_gemma":0.0008020736,"domain_scores_codex":[0.9994872,0.0001130349,0.00002085194,0.00008880909,0.0001761144,0.000113962],"domain_scores_gemma":[0.9996263,0.00005133146,0.00008445823,0.00003583229,0.00007204253,0.0001300006],"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":[0.00001225018,0.00001095377,0.0001963701,0.00001314265,0.000003366303,0.0001321036,0.0001527012,0.001199185,0.001651655,0.9948527,0.0001833674,0.001592249],"study_design_scores_gemma":[0.00002918083,0.00009219241,0.002079802,0.00002209935,0.00001008055,0.0007533865,0.0003148535,0.01825879,0.005112241,0.9640497,0.009225038,0.00005266157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8664121,0.0008533663,0.05940488,0.0007855591,0.0001589017,0.0000492352,0.0001216348,0.000193095,0.07202137],"genre_scores_gemma":[0.9832287,0.0001980256,0.008530414,0.00008899535,0.00008398322,0.00001809403,0.00006825841,0.0000233211,0.007760122],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002979664,"threshold_uncertainty_score":0.009967983,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02829020501685011,"score_gpt":0.3541313049362015,"score_spread":0.3258410999193514,"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."}}