{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MTD6GZC3WJZTPPXEUZCDK73AEE","short_pith_number":"pith:MTD6GZC3","schema_version":"1.0","canonical_sha256":"64c7e3645bb27337bee4a644357f602120579b1bd3b8281821df30a8d1108411","source":{"kind":"arxiv","id":"1410.3503","version":3},"attestation_state":"computed","paper":{"title":"Universal Asymptotic Eigenvalue Distribution of Large $N$ Random Matrices --- A Direct Diagrammatic Proof to Marchenko-Pastur Law ---","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Hitoshi Murayama, Xiaochuan Lu","submitted_at":"2014-10-13T20:27:41Z","abstract_excerpt":"In random matrix theory, Marchenko-Pastur law states that random matrices with independent and identically distributed entries have a universal asymptotic eigenvalue distribution under large dimension limit, regardless of the choice of entry distribution. This law provides useful insight for physics research, because the large $N$ limit proved to be a very useful tool in various theoretical models. We present an alternative proof of Marchenko- Pastur law using Feynman diagrams, which is more familiar to the physics community. We also show that our direct diagrammatic approach can readily gener"},"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":"1410.3503","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-13T20:27:41Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"7c58099f0063d74e059cf46dc3f65ccb422d04e9b942a878ce4f97afd95a5642","abstract_canon_sha256":"39fb051e8a89357ab8954787a6998c7f7708b602b6a702fd88cd4a964c8a35af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:20.747473Z","signature_b64":"LdxYh7Vt/8ejZ2lryw56S8r3/vI0XT1bpfvgiAdexmvXAcVSgBZw/ky5YD+vqJkpWaWs9wlRP0nNaU28wfGvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64c7e3645bb27337bee4a644357f602120579b1bd3b8281821df30a8d1108411","last_reissued_at":"2026-05-18T02:16:20.746793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:20.746793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal Asymptotic Eigenvalue Distribution of Large $N$ Random Matrices --- A Direct Diagrammatic Proof to Marchenko-Pastur Law ---","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Hitoshi Murayama, Xiaochuan Lu","submitted_at":"2014-10-13T20:27:41Z","abstract_excerpt":"In random matrix theory, Marchenko-Pastur law states that random matrices with independent and identically distributed entries have a universal asymptotic eigenvalue distribution under large dimension limit, regardless of the choice of entry distribution. This law provides useful insight for physics research, because the large $N$ limit proved to be a very useful tool in various theoretical models. We present an alternative proof of Marchenko- Pastur law using Feynman diagrams, which is more familiar to the physics community. We also show that our direct diagrammatic approach can readily gener"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3503","kind":"arxiv","version":3},"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":"1410.3503","created_at":"2026-05-18T02:16:20.746898+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.3503v3","created_at":"2026-05-18T02:16:20.746898+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.3503","created_at":"2026-05-18T02:16:20.746898+00:00"},{"alias_kind":"pith_short_12","alias_value":"MTD6GZC3WJZT","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MTD6GZC3WJZTPPXE","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MTD6GZC3","created_at":"2026-05-18T12:28:38.356838+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/MTD6GZC3WJZTPPXEUZCDK73AEE","json":"https://pith.science/pith/MTD6GZC3WJZTPPXEUZCDK73AEE.json","graph_json":"https://pith.science/api/pith-number/MTD6GZC3WJZTPPXEUZCDK73AEE/graph.json","events_json":"https://pith.science/api/pith-number/MTD6GZC3WJZTPPXEUZCDK73AEE/events.json","paper":"https://pith.science/paper/MTD6GZC3"},"agent_actions":{"view_html":"https://pith.science/pith/MTD6GZC3WJZTPPXEUZCDK73AEE","download_json":"https://pith.science/pith/MTD6GZC3WJZTPPXEUZCDK73AEE.json","view_paper":"https://pith.science/paper/MTD6GZC3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.3503&json=true","fetch_graph":"https://pith.science/api/pith-number/MTD6GZC3WJZTPPXEUZCDK73AEE/graph.json","fetch_events":"https://pith.science/api/pith-number/MTD6GZC3WJZTPPXEUZCDK73AEE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MTD6GZC3WJZTPPXEUZCDK73AEE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MTD6GZC3WJZTPPXEUZCDK73AEE/action/storage_attestation","attest_author":"https://pith.science/pith/MTD6GZC3WJZTPPXEUZCDK73AEE/action/author_attestation","sign_citation":"https://pith.science/pith/MTD6GZC3WJZTPPXEUZCDK73AEE/action/citation_signature","submit_replication":"https://pith.science/pith/MTD6GZC3WJZTPPXEUZCDK73AEE/action/replication_record"}},"created_at":"2026-05-18T02:16:20.746898+00:00","updated_at":"2026-05-18T02:16:20.746898+00:00"}