{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3MKSVYLOQKSLTK3FR5F4PP4PVP","short_pith_number":"pith:3MKSVYLO","schema_version":"1.0","canonical_sha256":"db152ae16e82a4b9ab658f4bc7bf8fabdbbb5107de31cc970b1679d4c9c1c854","source":{"kind":"arxiv","id":"1401.6772","version":2},"attestation_state":"computed","paper":{"title":"Global Asymptotics for the Christoffel-Darboux Kernel of Random Matrix Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.PR","authors_text":"Katharina Sch\\\"uler, Kristina Schubert, Martin Venker, Thomas Kriecherbauer","submitted_at":"2014-01-27T09:17:45Z","abstract_excerpt":"The investigation of universality questions for local eigenvalue statistics continues to be a driving force in the theory of Random Matrices. For Matrix Models [53] the method of orthogonal polynomials can be used and the asymptotics of the Christoffel-Darboux kernel [59] become the key for studying universality. In this paper the existing results on the CD-kernel will be extended in two directions. Firstly, in order to analyze the transition from the universal to the non-universal regime, we provide leading order asymptotics that are global rather than local. This allows e.g. to describe the "},"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":"1401.6772","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-27T09:17:45Z","cross_cats_sorted":["math-ph","math.CA","math.MP"],"title_canon_sha256":"2f965465428cd22278382ab2edb0c6c06962cd28e108d8c15d77eb9e7c3441da","abstract_canon_sha256":"1a978675b898db1f6db425e2f20ab2347062c7f26d8a78f1519ad3d1d5ac50f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:03.913596Z","signature_b64":"KgytcNKh5qiGe1e3fxz3qI7XmIB29ptx1qHJanVKDvtG7hTgwDpfAFbnKM+O9SLgJcR8dCeoC8+7GcR1als2Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db152ae16e82a4b9ab658f4bc7bf8fabdbbb5107de31cc970b1679d4c9c1c854","last_reissued_at":"2026-05-18T01:20:03.912904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:03.912904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global Asymptotics for the Christoffel-Darboux Kernel of Random Matrix Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.PR","authors_text":"Katharina Sch\\\"uler, Kristina Schubert, Martin Venker, Thomas Kriecherbauer","submitted_at":"2014-01-27T09:17:45Z","abstract_excerpt":"The investigation of universality questions for local eigenvalue statistics continues to be a driving force in the theory of Random Matrices. For Matrix Models [53] the method of orthogonal polynomials can be used and the asymptotics of the Christoffel-Darboux kernel [59] become the key for studying universality. In this paper the existing results on the CD-kernel will be extended in two directions. Firstly, in order to analyze the transition from the universal to the non-universal regime, we provide leading order asymptotics that are global rather than local. This allows e.g. to describe the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6772","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":"1401.6772","created_at":"2026-05-18T01:20:03.913002+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.6772v2","created_at":"2026-05-18T01:20:03.913002+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6772","created_at":"2026-05-18T01:20:03.913002+00:00"},{"alias_kind":"pith_short_12","alias_value":"3MKSVYLOQKSL","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3MKSVYLOQKSLTK3F","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3MKSVYLO","created_at":"2026-05-18T12:28:11.866339+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/3MKSVYLOQKSLTK3FR5F4PP4PVP","json":"https://pith.science/pith/3MKSVYLOQKSLTK3FR5F4PP4PVP.json","graph_json":"https://pith.science/api/pith-number/3MKSVYLOQKSLTK3FR5F4PP4PVP/graph.json","events_json":"https://pith.science/api/pith-number/3MKSVYLOQKSLTK3FR5F4PP4PVP/events.json","paper":"https://pith.science/paper/3MKSVYLO"},"agent_actions":{"view_html":"https://pith.science/pith/3MKSVYLOQKSLTK3FR5F4PP4PVP","download_json":"https://pith.science/pith/3MKSVYLOQKSLTK3FR5F4PP4PVP.json","view_paper":"https://pith.science/paper/3MKSVYLO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.6772&json=true","fetch_graph":"https://pith.science/api/pith-number/3MKSVYLOQKSLTK3FR5F4PP4PVP/graph.json","fetch_events":"https://pith.science/api/pith-number/3MKSVYLOQKSLTK3FR5F4PP4PVP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3MKSVYLOQKSLTK3FR5F4PP4PVP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3MKSVYLOQKSLTK3FR5F4PP4PVP/action/storage_attestation","attest_author":"https://pith.science/pith/3MKSVYLOQKSLTK3FR5F4PP4PVP/action/author_attestation","sign_citation":"https://pith.science/pith/3MKSVYLOQKSLTK3FR5F4PP4PVP/action/citation_signature","submit_replication":"https://pith.science/pith/3MKSVYLOQKSLTK3FR5F4PP4PVP/action/replication_record"}},"created_at":"2026-05-18T01:20:03.913002+00:00","updated_at":"2026-05-18T01:20:03.913002+00:00"}