{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:FK4G2HV6D7PC7GKJ57KTF46E6V","short_pith_number":"pith:FK4G2HV6","schema_version":"1.0","canonical_sha256":"2ab86d1ebe1fde2f9949efd532f3c4f567c012d5bb9ec310b7fb4ef3ffd33714","source":{"kind":"arxiv","id":"math/0701307","version":1},"attestation_state":"computed","paper":{"title":"A New Approach to Universality Limits involving Orthogonal Polynomials","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Doron S Lubinsky","submitted_at":"2007-01-10T20:10:05Z","abstract_excerpt":"We show how localization and smoothing techniques can be used to establish universality in the bulk of the spectrum for a fixed positive measure mu on [-1,1]. Assume that mu is a regular measure, and is absolutely continuous in an open interval containing some closed subinterval J of (-1,1). Assume that in J, the absolutely continuous component mu' is positive and continuous. Then universality in J for mu follows from universality for the classical Legendre weight. We also establish universality in an L_{p} sense under weaker assumptions on mu."},"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":"math/0701307","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"2007-01-10T20:10:05Z","cross_cats_sorted":[],"title_canon_sha256":"3d5afa83947f9094317029ad8a57a0cd457eaabdbc8cc908ba613133ac78731c","abstract_canon_sha256":"8b68f09934bac4046bfe88048212f97313e2111ecf0dd758de0c78838c954f32"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:58:38.289500Z","signature_b64":"kft0nFmDWDJmlRqsbX1utN1ersNz/IRHANBA+akmSbPgMcI94hf0w2QoAZJul+XG5xJLspSxpDSCABUDyhUBBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ab86d1ebe1fde2f9949efd532f3c4f567c012d5bb9ec310b7fb4ef3ffd33714","last_reissued_at":"2026-07-04T14:58:38.289101Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:58:38.289101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A New Approach to Universality Limits involving Orthogonal Polynomials","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Doron S Lubinsky","submitted_at":"2007-01-10T20:10:05Z","abstract_excerpt":"We show how localization and smoothing techniques can be used to establish universality in the bulk of the spectrum for a fixed positive measure mu on [-1,1]. Assume that mu is a regular measure, and is absolutely continuous in an open interval containing some closed subinterval J of (-1,1). Assume that in J, the absolutely continuous component mu' is positive and continuous. Then universality in J for mu follows from universality for the classical Legendre weight. We also establish universality in an L_{p} sense under weaker assumptions on mu."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701307","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0701307/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"math/0701307","created_at":"2026-07-04T14:58:38.289174+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0701307v1","created_at":"2026-07-04T14:58:38.289174+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0701307","created_at":"2026-07-04T14:58:38.289174+00:00"},{"alias_kind":"pith_short_12","alias_value":"FK4G2HV6D7PC","created_at":"2026-07-04T14:58:38.289174+00:00"},{"alias_kind":"pith_short_16","alias_value":"FK4G2HV6D7PC7GKJ","created_at":"2026-07-04T14:58:38.289174+00:00"},{"alias_kind":"pith_short_8","alias_value":"FK4G2HV6","created_at":"2026-07-04T14:58:38.289174+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.19750","citing_title":"Krylov Distribution and Universal Convergence of Quantum Fisher Information","ref_index":33,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FK4G2HV6D7PC7GKJ57KTF46E6V","json":"https://pith.science/pith/FK4G2HV6D7PC7GKJ57KTF46E6V.json","graph_json":"https://pith.science/api/pith-number/FK4G2HV6D7PC7GKJ57KTF46E6V/graph.json","events_json":"https://pith.science/api/pith-number/FK4G2HV6D7PC7GKJ57KTF46E6V/events.json","paper":"https://pith.science/paper/FK4G2HV6"},"agent_actions":{"view_html":"https://pith.science/pith/FK4G2HV6D7PC7GKJ57KTF46E6V","download_json":"https://pith.science/pith/FK4G2HV6D7PC7GKJ57KTF46E6V.json","view_paper":"https://pith.science/paper/FK4G2HV6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0701307&json=true","fetch_graph":"https://pith.science/api/pith-number/FK4G2HV6D7PC7GKJ57KTF46E6V/graph.json","fetch_events":"https://pith.science/api/pith-number/FK4G2HV6D7PC7GKJ57KTF46E6V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FK4G2HV6D7PC7GKJ57KTF46E6V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FK4G2HV6D7PC7GKJ57KTF46E6V/action/storage_attestation","attest_author":"https://pith.science/pith/FK4G2HV6D7PC7GKJ57KTF46E6V/action/author_attestation","sign_citation":"https://pith.science/pith/FK4G2HV6D7PC7GKJ57KTF46E6V/action/citation_signature","submit_replication":"https://pith.science/pith/FK4G2HV6D7PC7GKJ57KTF46E6V/action/replication_record"}},"created_at":"2026-07-04T14:58:38.289174+00:00","updated_at":"2026-07-04T14:58:38.289174+00:00"}