{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DVYG7CVHRESXU5LAT3Y7U6YJNX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f8ed66dfaeb1a9c129a57ead4a054c2adce9851c620cd0b94725422bf326fcf5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-04-17T11:59:20Z","title_canon_sha256":"fcf4a61a187fbab61de0362746215646df1fb5ec2becdf983df3bc05a592ff79"},"schema_version":"1.0","source":{"id":"1304.4782","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4782","created_at":"2026-05-18T03:27:43Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4782v1","created_at":"2026-05-18T03:27:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4782","created_at":"2026-05-18T03:27:43Z"},{"alias_kind":"pith_short_12","alias_value":"DVYG7CVHRESX","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DVYG7CVHRESXU5LA","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DVYG7CVH","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:7d460d3ad16670edacd6fcaf9d5673edae736b1be8aa8402b22914aad7205591","target":"graph","created_at":"2026-05-18T03:27:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study asymptotics of the partition function $Z_N$ of a Laguerre-type random matrix model when the matrix order $N$ tends to infinity. By using the Deift-Zhou steepest descent method for Riemann-Hilbert problems, we obtain an asymptotic expansion of $\\log Z_N$ in powers of $N^{-2}$.","authors_text":"Dan Dai, Lihua Cao, Yi Zhao","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-04-17T11:59:20Z","title":"Asymptotics of the partition function of a Laguerre-type random matrix model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4782","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:784093d9f0e4aad6664b707a1900cb4745740e1ced5597e1b136b19f3f7fcae7","target":"record","created_at":"2026-05-18T03:27:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f8ed66dfaeb1a9c129a57ead4a054c2adce9851c620cd0b94725422bf326fcf5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-04-17T11:59:20Z","title_canon_sha256":"fcf4a61a187fbab61de0362746215646df1fb5ec2becdf983df3bc05a592ff79"},"schema_version":"1.0","source":{"id":"1304.4782","kind":"arxiv","version":1}},"canonical_sha256":"1d706f8aa789257a75609ef1fa7b096dc26da49fc152b4d7696238086ef3650e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d706f8aa789257a75609ef1fa7b096dc26da49fc152b4d7696238086ef3650e","first_computed_at":"2026-05-18T03:27:43.729937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:43.729937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xt7z5nBKMzdrb19o8RGaCf1kB1Cyke4g+bPgrswiQVLFafC7qRtWJXscNQNe4DEAz1fjAQK2mFR0TYXTEwChDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:43.730737Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.4782","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:784093d9f0e4aad6664b707a1900cb4745740e1ced5597e1b136b19f3f7fcae7","sha256:7d460d3ad16670edacd6fcaf9d5673edae736b1be8aa8402b22914aad7205591"],"state_sha256":"24a1780291300c921c9f37ea7a62cdb6ce28da2e96286860a2ef41879a83fb4d"}