{"paper":{"title":"Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory","arxiv_id":"hep-lat/9902021","primary_cat":"hep-lat","submitted_at":"1999-02-16T23:00:39+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory.","hedge":{"p":0.92,"label":"asserted"},"own_p":0.04,"main_claim_p":0.06,"quantitative":true,"quantitative_p":0.77,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":false,"role":"background","text":"The three universal classes are the orthogonal, unitary and symplectic ensemble.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.04,"main_claim_p":0.03,"quantitative":true,"quantitative_p":0.86,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.62,"id":"s2","own":false,"role":"background","text":"Lattice gauge theory with staggered fermions has verified two of the cases so far, unitary and symplectic, with staggered fermions in the fundamental representation of SU(3) and SU(2).","hedge":{"p":1.0,"label":"asserted"},"own_p":0.11,"main_claim_p":0.04,"quantitative":true,"quantitative_p":0.74,"role_probabilities":{"gap":0.38,"method":0.0,"result":0.0,"background":0.62,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":3,"p":0.92,"id":"s3","own":true,"role":"contribution","text":"We verify the missing case here, namely orthogonal, with staggered fermions in the adjoint representation of SU(N_c), N_c=2, 3.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.92,"quantitative":true,"quantitative_p":0.78,"role_probabilities":{"gap":0.01,"method":0.0,"result":0.07,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.92,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":1.0,"text":"We verify the missing case here, namely orthogonal, with staggered fermions in the adjoint representation of SU(N_c), N_c=2, 3.","location":"abstract s3","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":3643,"cost_usd_reported":0.000153},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13-20260917","abstract_states":{"claims_first":0.26,"states_limitation":0.13,"human_participants":0.01,"controlled_comparison":0.05,"randomized_assignment":0.03,"states_quantitative_result":0.11,"compares_with_prior_results":0.89,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.96,"value":"simulation or computation","probabilities":{"argument":0.01,"literature":0.01,"proof_or_derivation":0.0,"analysis_of_existing_data":0.0,"observation_or_experiment":0.02,"simulation_or_computation":0.96}},"contribution_type":{"p":0.9,"value":"simulation study","probabilities":{"review":0.0,"method_or_tool":0.0,"empirical_study":0.09,"simulation_study":0.9,"theoretical_result":0.01,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":1.0,"text":"We verify the missing case here, namely orthogonal, with staggered fermions in the adjoint representation of SU(N_c), N_c=2, 3.","location":"abstract s3"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v1"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":4,"sentences_in_abstract":4},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; the figure is how often the published label matches their consensus","sentence_role_agreement":0.92,"main_claim_agreement":0.908,"typed_citation_agreement":0.933,"typed_citation_agreement_95_interval":[0.917,0.945],"review_comments_accurate":0.758,"review_comments_accurate_95_interval":[0.684,0.82],"review_caught_admitted_error_found_or_related":0.448}}