{"id":"W2482762540","doi":"10.14288/1.0080660","title":"On the Hilbert-Pólya and Pair Correlation Conjectures","year":2014,"lang":"en","type":"article","venue":"Open Collections","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Correlation; Combinatorics; Pure mathematics; Geometry","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":["sts","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0003617184,0.00006038579,0.00006381526,0.00002428209,0.001914785,0.001125481,0.0004091647,0.00002712827,0.00017237],"category_scores_gemma":[0.0001382134,0.00003954861,0.00001858236,0.0003900831,0.00003385617,0.0001687463,0.0001592791,0.00009358866,0.00002250142],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001173367,"about_ca_system_score_gemma":0.00002365874,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002914107,"about_ca_topic_score_gemma":0.00009307187,"domain_scores_codex":[0.9994403,0.0001590121,0.00007380093,0.0001662439,0.0000726629,0.00008794183],"domain_scores_gemma":[0.9989827,0.0006567837,0.00003474993,0.0002658641,0.0000262861,0.00003364289],"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":[0.00000731533,0.00003105731,0.00001294471,0.000001239159,0.00000971994,3.901227e-7,0.0002291178,0.0004695254,0.000009141018,0.7405105,0.2529655,0.005753503],"study_design_scores_gemma":[0.0004300609,0.000243695,0.0003410089,0.00001788382,0.000008578721,0.00003116949,0.00004817309,0.2742217,0.0003791002,0.4971191,0.2269856,0.0001738155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0007847212,0.00001443367,0.4620081,0.004576701,0.0005258743,0.0004288476,0.000002626062,0.00007676893,0.5315819],"genre_scores_gemma":[0.6808965,0.000006830165,0.005631405,0.00301262,0.0001431514,0.0001314078,0.000002271265,0.00001135589,0.3101644],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.6801118,"threshold_uncertainty_score":0.9999114,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01057273860933763,"score_gpt":0.225864543297959,"score_spread":0.2152918046886214,"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."}}