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This paper is devoted to the solution to an open problem posed in Li, Liu, and Rosalsky (2010) on the asymptotic distribution of the largest entry $L_{n} = \\max_{1 \\leq i < j \\leq p_{n}} \\left | \\hat{\\rho}^{(n)}_{i,j} \\right |$ of the sample correlation matrix ${\\bf \\Gamma}_{n} = \\left ( \\hat{\\rho}_{i,j}^{(n)} \\right )_{1 \\leq i, j \\leq p_{n}}$ where $\\hat{\\rho}^{(n)}_{i"},"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":"1011.3164","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-13T22:46:29Z","cross_cats_sorted":[],"title_canon_sha256":"35c280f5e947343dd271833eef6fbd0cb56834c947c06783f5612740a66ed429","abstract_canon_sha256":"f3de57fc544cf2f7dff7c93ffaf82c7a928b84739ed9f00274f3174606e8b091"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:56.418647Z","signature_b64":"UlIDLYHWs8C959Z8MT6O85cGzO8yy3+Okclcx9u7xxJywIvi2wZrzyyOnbp+hwTLKcq7Bozj9Tt1jg/ry7KRBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5dab3e6bbf60cd15820623c8ca6e6378d8989412296b8e64fb55c881ef2dc6f","last_reissued_at":"2026-05-18T04:35:56.418153Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:56.418153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Jiang's asymptotic distribution of the largest entry of a sample correlation matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andrew Rosalsky, Deli Li, Yongcheng Qi","submitted_at":"2010-11-13T22:46:29Z","abstract_excerpt":"Let $ \\{X, X_{k,i}; i \\geq 1, k \\geq 1 \\}$ be a double array of nondegenerate i.i.d. random variables and let $\\{p_{n}; n \\geq 1 \\}$ be a sequence of positive integers such that $n/p_{n}$ is bounded away from $0$ and $\\infty$. This paper is devoted to the solution to an open problem posed in Li, Liu, and Rosalsky (2010) on the asymptotic distribution of the largest entry $L_{n} = \\max_{1 \\leq i < j \\leq p_{n}} \\left | \\hat{\\rho}^{(n)}_{i,j} \\right |$ of the sample correlation matrix ${\\bf \\Gamma}_{n} = \\left ( \\hat{\\rho}_{i,j}^{(n)} \\right )_{1 \\leq i, j \\leq p_{n}}$ where $\\hat{\\rho}^{(n)}_{i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3164","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":""},"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":"1011.3164","created_at":"2026-05-18T04:35:56.418228+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.3164v1","created_at":"2026-05-18T04:35:56.418228+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3164","created_at":"2026-05-18T04:35:56.418228+00:00"},{"alias_kind":"pith_short_12","alias_value":"YXNLHZV36YGN","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"YXNLHZV36YGNCWBA","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"YXNLHZV3","created_at":"2026-05-18T12:26:17.028572+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/YXNLHZV36YGNCWBAMI6IZJXGG6","json":"https://pith.science/pith/YXNLHZV36YGNCWBAMI6IZJXGG6.json","graph_json":"https://pith.science/api/pith-number/YXNLHZV36YGNCWBAMI6IZJXGG6/graph.json","events_json":"https://pith.science/api/pith-number/YXNLHZV36YGNCWBAMI6IZJXGG6/events.json","paper":"https://pith.science/paper/YXNLHZV3"},"agent_actions":{"view_html":"https://pith.science/pith/YXNLHZV36YGNCWBAMI6IZJXGG6","download_json":"https://pith.science/pith/YXNLHZV36YGNCWBAMI6IZJXGG6.json","view_paper":"https://pith.science/paper/YXNLHZV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.3164&json=true","fetch_graph":"https://pith.science/api/pith-number/YXNLHZV36YGNCWBAMI6IZJXGG6/graph.json","fetch_events":"https://pith.science/api/pith-number/YXNLHZV36YGNCWBAMI6IZJXGG6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YXNLHZV36YGNCWBAMI6IZJXGG6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YXNLHZV36YGNCWBAMI6IZJXGG6/action/storage_attestation","attest_author":"https://pith.science/pith/YXNLHZV36YGNCWBAMI6IZJXGG6/action/author_attestation","sign_citation":"https://pith.science/pith/YXNLHZV36YGNCWBAMI6IZJXGG6/action/citation_signature","submit_replication":"https://pith.science/pith/YXNLHZV36YGNCWBAMI6IZJXGG6/action/replication_record"}},"created_at":"2026-05-18T04:35:56.418228+00:00","updated_at":"2026-05-18T04:35:56.418228+00:00"}