{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:ZJGJU375HLGYH6I2WFODD5DX5U","short_pith_number":"pith:ZJGJU375","schema_version":"1.0","canonical_sha256":"ca4c9a6ffd3acd83f91ab15c31f477ed037b1dbc9fcdfe89e2d8d370486be9d6","source":{"kind":"arxiv","id":"hep-th/9801042","version":2},"attestation_state":"computed","paper":{"title":"Universality in Chiral Random Matrix Theory at $\\beta =1$ and $\\beta =4$","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J.J.M. Verbaarschot, M.K. Sener","submitted_at":"1998-01-08T15:12:08Z","abstract_excerpt":"In this paper the kernel for the spectral correlation functions of the invariant chiral random matrix ensembles with real ($\\beta =1$) and quaternion real ($\\beta = 4$) matrix elements is expressed in terms of the kernel of the corresponding complex Hermitean random matrix ensembles ($\\beta=2$). Such identities are exact in case of a Gaussian probability distribution and, under certain smoothness assumptions, they are shown to be valid asymptotically for an arbitrary finite polynomial potential. They are proved by means of a construction proposed by Br\\'ezin and Neuberger. Universal behavior a"},"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/9801042","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-01-08T15:12:08Z","cross_cats_sorted":[],"title_canon_sha256":"f4e2ed6cc133701874ff7e50d6e92e30cb8d5a77ea856ac691ba9411b7a563b9","abstract_canon_sha256":"8299187e584d7205cd370da8de5733db443866a1b524d074f849032ff17b7c1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:55.547503Z","signature_b64":"YcxE0zLHddsfpTe3UCYMFUtHjCFTpdWepAXGdcdfhbqY7Djb+2zm7tcc8UKII216zasgvLlzbjAse8R7bsrVAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca4c9a6ffd3acd83f91ab15c31f477ed037b1dbc9fcdfe89e2d8d370486be9d6","last_reissued_at":"2026-05-18T01:05:55.547003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:55.547003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universality in Chiral Random Matrix Theory at $\\beta =1$ and $\\beta =4$","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J.J.M. Verbaarschot, M.K. Sener","submitted_at":"1998-01-08T15:12:08Z","abstract_excerpt":"In this paper the kernel for the spectral correlation functions of the invariant chiral random matrix ensembles with real ($\\beta =1$) and quaternion real ($\\beta = 4$) matrix elements is expressed in terms of the kernel of the corresponding complex Hermitean random matrix ensembles ($\\beta=2$). Such identities are exact in case of a Gaussian probability distribution and, under certain smoothness assumptions, they are shown to be valid asymptotically for an arbitrary finite polynomial potential. They are proved by means of a construction proposed by Br\\'ezin and Neuberger. Universal behavior a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9801042","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/9801042","created_at":"2026-05-18T01:05:55.547069+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9801042v2","created_at":"2026-05-18T01:05:55.547069+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9801042","created_at":"2026-05-18T01:05:55.547069+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZJGJU375HLGY","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZJGJU375HLGYH6I2","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZJGJU375","created_at":"2026-05-18T12:25:49.038998+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZJGJU375HLGYH6I2WFODD5DX5U","json":"https://pith.science/pith/ZJGJU375HLGYH6I2WFODD5DX5U.json","graph_json":"https://pith.science/api/pith-number/ZJGJU375HLGYH6I2WFODD5DX5U/graph.json","events_json":"https://pith.science/api/pith-number/ZJGJU375HLGYH6I2WFODD5DX5U/events.json","paper":"https://pith.science/paper/ZJGJU375"},"agent_actions":{"view_html":"https://pith.science/pith/ZJGJU375HLGYH6I2WFODD5DX5U","download_json":"https://pith.science/pith/ZJGJU375HLGYH6I2WFODD5DX5U.json","view_paper":"https://pith.science/paper/ZJGJU375","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9801042&json=true","fetch_graph":"https://pith.science/api/pith-number/ZJGJU375HLGYH6I2WFODD5DX5U/graph.json","fetch_events":"https://pith.science/api/pith-number/ZJGJU375HLGYH6I2WFODD5DX5U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZJGJU375HLGYH6I2WFODD5DX5U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZJGJU375HLGYH6I2WFODD5DX5U/action/storage_attestation","attest_author":"https://pith.science/pith/ZJGJU375HLGYH6I2WFODD5DX5U/action/author_attestation","sign_citation":"https://pith.science/pith/ZJGJU375HLGYH6I2WFODD5DX5U/action/citation_signature","submit_replication":"https://pith.science/pith/ZJGJU375HLGYH6I2WFODD5DX5U/action/replication_record"}},"created_at":"2026-05-18T01:05:55.547069+00:00","updated_at":"2026-05-18T01:05:55.547069+00:00"}