{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:W3SZWJPQX224CZKTKV7OELU2X2","short_pith_number":"pith:W3SZWJPQ","schema_version":"1.0","canonical_sha256":"b6e59b25f0beb5c16553557ee22e9abe8e6ed4082d4dce3b44a111cc39b2dfc1","source":{"kind":"arxiv","id":"1312.1126","version":2},"attestation_state":"computed","paper":{"title":"Why random matrices share universal processes with interacting particle systems?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Patrik L. Ferrari (Bonn University)","submitted_at":"2013-12-04T12:08:27Z","abstract_excerpt":"In these lecture we explain why limiting distribution function, like the Tracy-Widom distribution, or limit processes, like the Airy_2 process, arise both in random matrices and interacting particle systems. The link is through a common mathematical structure on an interlacing structure, also known as Gelfand-Tsetlin pattern, that appears for specific models in both fields."},"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":"1312.1126","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-04T12:08:27Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"title_canon_sha256":"68890c27401597bac15035b3339b734bbf27fdd7c6253a4655018936a4ae45ba","abstract_canon_sha256":"77f8bbd7fc980a68c716fa94c04759d0344b4fc8ca94ce498fb06150ecb11e5b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:36.621182Z","signature_b64":"SOx+2q4x/7JTjEMIpdNe+fUjowGkpyVSeXVeUNEOlNYEnfvJwjssfTi3oda1xFO7gXoX+PiguMUp/CiVKSPyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6e59b25f0beb5c16553557ee22e9abe8e6ed4082d4dce3b44a111cc39b2dfc1","last_reissued_at":"2026-05-18T03:04:36.620418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:36.620418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Why random matrices share universal processes with interacting particle systems?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Patrik L. Ferrari (Bonn University)","submitted_at":"2013-12-04T12:08:27Z","abstract_excerpt":"In these lecture we explain why limiting distribution function, like the Tracy-Widom distribution, or limit processes, like the Airy_2 process, arise both in random matrices and interacting particle systems. The link is through a common mathematical structure on an interlacing structure, also known as Gelfand-Tsetlin pattern, that appears for specific models in both fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1126","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":"1312.1126","created_at":"2026-05-18T03:04:36.620535+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.1126v2","created_at":"2026-05-18T03:04:36.620535+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1126","created_at":"2026-05-18T03:04:36.620535+00:00"},{"alias_kind":"pith_short_12","alias_value":"W3SZWJPQX224","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"W3SZWJPQX224CZKT","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"W3SZWJPQ","created_at":"2026-05-18T12:28:04.890932+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/W3SZWJPQX224CZKTKV7OELU2X2","json":"https://pith.science/pith/W3SZWJPQX224CZKTKV7OELU2X2.json","graph_json":"https://pith.science/api/pith-number/W3SZWJPQX224CZKTKV7OELU2X2/graph.json","events_json":"https://pith.science/api/pith-number/W3SZWJPQX224CZKTKV7OELU2X2/events.json","paper":"https://pith.science/paper/W3SZWJPQ"},"agent_actions":{"view_html":"https://pith.science/pith/W3SZWJPQX224CZKTKV7OELU2X2","download_json":"https://pith.science/pith/W3SZWJPQX224CZKTKV7OELU2X2.json","view_paper":"https://pith.science/paper/W3SZWJPQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.1126&json=true","fetch_graph":"https://pith.science/api/pith-number/W3SZWJPQX224CZKTKV7OELU2X2/graph.json","fetch_events":"https://pith.science/api/pith-number/W3SZWJPQX224CZKTKV7OELU2X2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W3SZWJPQX224CZKTKV7OELU2X2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W3SZWJPQX224CZKTKV7OELU2X2/action/storage_attestation","attest_author":"https://pith.science/pith/W3SZWJPQX224CZKTKV7OELU2X2/action/author_attestation","sign_citation":"https://pith.science/pith/W3SZWJPQX224CZKTKV7OELU2X2/action/citation_signature","submit_replication":"https://pith.science/pith/W3SZWJPQX224CZKTKV7OELU2X2/action/replication_record"}},"created_at":"2026-05-18T03:04:36.620535+00:00","updated_at":"2026-05-18T03:04:36.620535+00:00"}