{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:46XWKLCMDUJEAYJIK3QAY6G3TF","short_pith_number":"pith:46XWKLCM","schema_version":"1.0","canonical_sha256":"e7af652c4c1d1240612856e00c78db996f20e937caddef039b76bfedd9aa6560","source":{"kind":"arxiv","id":"hep-th/9609174","version":2},"attestation_state":"computed","paper":{"title":"Universality of random matrices in the microscopic limit and the Dirac operator spectrum","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-th","authors_text":"G. Akemann, P. H. Damgaard, S. Nishigaki, U. Magnea","submitted_at":"1996-09-22T22:30:48Z","abstract_excerpt":"We prove the universality of correlation functions of chiral unitary and unitary ensembles of random matrices in the microscopic limit. The essence of the proof consists in reducing the three-term recursion relation for the relevant orthogonal polynomials into a Bessel equation governing the local asymptotics around the origin. The possible physical interpretation as the universality of soft spectrum of the Dirac operator is briefly discussed."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/9609174","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-09-22T22:30:48Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"39b92fd8fa0da5d1964ce2755f4dfe95b28074fb14b3c097f4c0139c08df21d8","abstract_canon_sha256":"d982751ccab0046df480678def528037a10a47a93fdc34e3670e853caa65881f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:26.528771Z","signature_b64":"ZnqDb10HG8E4gm3WUHj3bpaV43nm2Elxs9KC8s1vJhE9nD7C6XZUN6+TCSJZfjKIQVbswcTLPQacO+orxob3Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7af652c4c1d1240612856e00c78db996f20e937caddef039b76bfedd9aa6560","last_reissued_at":"2026-05-18T04:25:26.527671Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:26.527671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universality of random matrices in the microscopic limit and the Dirac operator spectrum","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-th","authors_text":"G. Akemann, P. H. Damgaard, S. Nishigaki, U. Magnea","submitted_at":"1996-09-22T22:30:48Z","abstract_excerpt":"We prove the universality of correlation functions of chiral unitary and unitary ensembles of random matrices in the microscopic limit. The essence of the proof consists in reducing the three-term recursion relation for the relevant orthogonal polynomials into a Bessel equation governing the local asymptotics around the origin. The possible physical interpretation as the universality of soft spectrum of the Dirac operator is briefly discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9609174","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9609174","created_at":"2026-05-18T04:25:26.527896+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9609174v2","created_at":"2026-05-18T04:25:26.527896+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9609174","created_at":"2026-05-18T04:25:26.527896+00:00"},{"alias_kind":"pith_short_12","alias_value":"46XWKLCMDUJE","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_16","alias_value":"46XWKLCMDUJEAYJI","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_8","alias_value":"46XWKLCM","created_at":"2026-05-18T12:25:47.700082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2006.00200","citing_title":"Analysis of the QCD Kondo phase using random matrices","ref_index":43,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/46XWKLCMDUJEAYJIK3QAY6G3TF","json":"https://pith.science/pith/46XWKLCMDUJEAYJIK3QAY6G3TF.json","graph_json":"https://pith.science/api/pith-number/46XWKLCMDUJEAYJIK3QAY6G3TF/graph.json","events_json":"https://pith.science/api/pith-number/46XWKLCMDUJEAYJIK3QAY6G3TF/events.json","paper":"https://pith.science/paper/46XWKLCM"},"agent_actions":{"view_html":"https://pith.science/pith/46XWKLCMDUJEAYJIK3QAY6G3TF","download_json":"https://pith.science/pith/46XWKLCMDUJEAYJIK3QAY6G3TF.json","view_paper":"https://pith.science/paper/46XWKLCM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9609174&json=true","fetch_graph":"https://pith.science/api/pith-number/46XWKLCMDUJEAYJIK3QAY6G3TF/graph.json","fetch_events":"https://pith.science/api/pith-number/46XWKLCMDUJEAYJIK3QAY6G3TF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/46XWKLCMDUJEAYJIK3QAY6G3TF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/46XWKLCMDUJEAYJIK3QAY6G3TF/action/storage_attestation","attest_author":"https://pith.science/pith/46XWKLCMDUJEAYJIK3QAY6G3TF/action/author_attestation","sign_citation":"https://pith.science/pith/46XWKLCMDUJEAYJIK3QAY6G3TF/action/citation_signature","submit_replication":"https://pith.science/pith/46XWKLCMDUJEAYJIK3QAY6G3TF/action/replication_record"}},"created_at":"2026-05-18T04:25:26.527896+00:00","updated_at":"2026-05-18T04:25:26.527896+00:00"}