{"id":"W4365442138","doi":"10.48550/arxiv.2304.03936","title":"The integral cohomology rings of four-dimensional toric orbifolds","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Division of Mathematical Sciences; National Research Foundation of Korea; National Research Foundation","keywords":"Orbifold; Mathematics; Lambda; Toric variety; Cohomology; Pure mathematics; Vertex (graph theory); Polygon (computer graphics); Combinatorics; Physics; Graph; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005849965,0.0003819402,0.0006605806,0.0001813657,0.0001992017,0.00002290085,0.001189854,0.0004337305,0.00002931238],"category_scores_gemma":[0.0011272,0.0003309375,0.0003299995,0.0004715417,0.0003212853,0.00007429068,0.001938231,0.0008246308,0.00007893448],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003126926,"about_ca_system_score_gemma":0.0002021559,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007412784,"about_ca_topic_score_gemma":0.00006409815,"domain_scores_codex":[0.998105,0.0001803765,0.0004828763,0.000614647,0.0001904191,0.0004266493],"domain_scores_gemma":[0.9948906,0.002619947,0.0007373372,0.00126632,0.0003733081,0.0001124677],"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":[0.00007496854,0.0001012793,0.0004292223,0.0002481323,0.0002342638,0.000163467,0.0001502361,0.005130716,0.00004118848,0.9917175,0.001666889,0.00004211536],"study_design_scores_gemma":[0.0004525075,0.00007312858,0.00009340328,0.000185134,0.0001979559,0.000009405579,0.0001581377,0.009711139,0.0002317596,0.9882923,0.0002905237,0.0003046013],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.962405,0.00005384877,0.03064359,0.0001507169,0.004046232,0.0007027592,0.00003498368,0.0004071552,0.001555747],"genre_scores_gemma":[0.98988,0.00008688599,0.002502408,0.00001099766,0.0001332595,0.0000037471,0.000007651684,0.00007893448,0.007296085],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02814118,"threshold_uncertainty_score":0.9999143,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2046156116496496,"score_gpt":0.2471019226041944,"score_spread":0.04248631095454472,"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."}}