{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:PK3RQ5PWJH64MBODHJN22QEEPD","short_pith_number":"pith:PK3RQ5PW","schema_version":"1.0","canonical_sha256":"7ab71875f649fdc605c33a5bad408478e594b86204bfea8a1f2d8ce9eec7a822","source":{"kind":"arxiv","id":"1104.1663","version":4},"attestation_state":"computed","paper":{"title":"On Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices with Non-Identically Distributed Entries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Alexander Soshnikov, David Renfrew, Sean O'Rourke","submitted_at":"2011-04-09T00:40:31Z","abstract_excerpt":"In this note, we extend the results about the fluctuations of the matrix entries of regular functions of Wigner random matrices obtained in arXiv:1103.3731 [math.PR] to Wigner matrices with non-i.i.d. entries provided certain Lindeberg type conditions for the fourth moments of the off-diagonal entries and the second moments of the diagonal entries are satisfied. In addition, we relax our conditions on the test functions and require that for some $s>3 \\ \\int (1+|k|)^{2s}\\*|\\hat{f}(k)|^2 \\* dk <\\infty.$"},"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":"1104.1663","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-04-09T00:40:31Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"82b864830e7b01a2d702305b98d96dc6524649c565056f9a245ae6cf10f21d47","abstract_canon_sha256":"68f0189946c776a2c9a07663469cd7bf46e9a55beede98a5a41462306c197786"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:12.896273Z","signature_b64":"vGnRpIrE1DMJjdc4kVRU7bJ9UG/gGRe3EzHrL81WrImaA6a+II9yhKjVL/UJMpuqS4omC3MR+4EVQJPt2m0sCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ab71875f649fdc605c33a5bad408478e594b86204bfea8a1f2d8ce9eec7a822","last_reissued_at":"2026-05-18T02:45:12.895752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:12.895752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices with Non-Identically Distributed Entries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Alexander Soshnikov, David Renfrew, Sean O'Rourke","submitted_at":"2011-04-09T00:40:31Z","abstract_excerpt":"In this note, we extend the results about the fluctuations of the matrix entries of regular functions of Wigner random matrices obtained in arXiv:1103.3731 [math.PR] to Wigner matrices with non-i.i.d. entries provided certain Lindeberg type conditions for the fourth moments of the off-diagonal entries and the second moments of the diagonal entries are satisfied. In addition, we relax our conditions on the test functions and require that for some $s>3 \\ \\int (1+|k|)^{2s}\\*|\\hat{f}(k)|^2 \\* dk <\\infty.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1663","kind":"arxiv","version":4},"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":"1104.1663","created_at":"2026-05-18T02:45:12.895833+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.1663v4","created_at":"2026-05-18T02:45:12.895833+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1663","created_at":"2026-05-18T02:45:12.895833+00:00"},{"alias_kind":"pith_short_12","alias_value":"PK3RQ5PWJH64","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"PK3RQ5PWJH64MBOD","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"PK3RQ5PW","created_at":"2026-05-18T12:26:39.201973+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/PK3RQ5PWJH64MBODHJN22QEEPD","json":"https://pith.science/pith/PK3RQ5PWJH64MBODHJN22QEEPD.json","graph_json":"https://pith.science/api/pith-number/PK3RQ5PWJH64MBODHJN22QEEPD/graph.json","events_json":"https://pith.science/api/pith-number/PK3RQ5PWJH64MBODHJN22QEEPD/events.json","paper":"https://pith.science/paper/PK3RQ5PW"},"agent_actions":{"view_html":"https://pith.science/pith/PK3RQ5PWJH64MBODHJN22QEEPD","download_json":"https://pith.science/pith/PK3RQ5PWJH64MBODHJN22QEEPD.json","view_paper":"https://pith.science/paper/PK3RQ5PW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.1663&json=true","fetch_graph":"https://pith.science/api/pith-number/PK3RQ5PWJH64MBODHJN22QEEPD/graph.json","fetch_events":"https://pith.science/api/pith-number/PK3RQ5PWJH64MBODHJN22QEEPD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PK3RQ5PWJH64MBODHJN22QEEPD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PK3RQ5PWJH64MBODHJN22QEEPD/action/storage_attestation","attest_author":"https://pith.science/pith/PK3RQ5PWJH64MBODHJN22QEEPD/action/author_attestation","sign_citation":"https://pith.science/pith/PK3RQ5PWJH64MBODHJN22QEEPD/action/citation_signature","submit_replication":"https://pith.science/pith/PK3RQ5PWJH64MBODHJN22QEEPD/action/replication_record"}},"created_at":"2026-05-18T02:45:12.895833+00:00","updated_at":"2026-05-18T02:45:12.895833+00:00"}