{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:5HIGL3XEDFIOLXHIEKSTTSORTJ","short_pith_number":"pith:5HIGL3XE","schema_version":"1.0","canonical_sha256":"e9d065eee41950e5dce822a539c9d19a69ba6166a14a1b0d9955e7edcd257e2d","source":{"kind":"arxiv","id":"1202.5536","version":3},"attestation_state":"computed","paper":{"title":"Detecting positive correlations in a multivariate sample","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Ery Arias-Castro, G\\'abor Lugosi, S\\'ebastien Bubeck","submitted_at":"2012-02-24T19:48:03Z","abstract_excerpt":"We consider the problem of testing whether a correlation matrix of a multivariate normal population is the identity matrix. We focus on sparse classes of alternatives where only a few entries are nonzero and, in fact, positive. We derive a general lower bound applicable to various classes and study the performance of some near-optimal tests. We pay special attention to computational feasibility and construct near-optimal tests that can be computed efficiently. Finally, we apply our results to prove new lower bounds for the clique number of high-dimensional random geometric graphs."},"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":"1202.5536","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-02-24T19:48:03Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"e498f3ab6b12999a3a451bae3450670e804208db8cdd47360064719f182ab49b","abstract_canon_sha256":"a5d411683f5a20cda4c96f63e31bbf4bbd0fe272f7e58f4d36a9f07341393d53"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:52.163176Z","signature_b64":"/8xJzMZAlssN/CAqG9kVYBKMr60oAXAiga0+tVNjfASG8G9o+9Veg6kRQ5gSHYnVsAwqy2BNhBdxq37CHfjOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9d065eee41950e5dce822a539c9d19a69ba6166a14a1b0d9955e7edcd257e2d","last_reissued_at":"2026-05-18T02:18:52.162592Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:52.162592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Detecting positive correlations in a multivariate sample","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Ery Arias-Castro, G\\'abor Lugosi, S\\'ebastien Bubeck","submitted_at":"2012-02-24T19:48:03Z","abstract_excerpt":"We consider the problem of testing whether a correlation matrix of a multivariate normal population is the identity matrix. We focus on sparse classes of alternatives where only a few entries are nonzero and, in fact, positive. We derive a general lower bound applicable to various classes and study the performance of some near-optimal tests. We pay special attention to computational feasibility and construct near-optimal tests that can be computed efficiently. Finally, we apply our results to prove new lower bounds for the clique number of high-dimensional random geometric graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5536","kind":"arxiv","version":3},"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":"1202.5536","created_at":"2026-05-18T02:18:52.162697+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.5536v3","created_at":"2026-05-18T02:18:52.162697+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5536","created_at":"2026-05-18T02:18:52.162697+00:00"},{"alias_kind":"pith_short_12","alias_value":"5HIGL3XEDFIO","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"5HIGL3XEDFIOLXHI","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"5HIGL3XE","created_at":"2026-05-18T12:26:53.410803+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/5HIGL3XEDFIOLXHIEKSTTSORTJ","json":"https://pith.science/pith/5HIGL3XEDFIOLXHIEKSTTSORTJ.json","graph_json":"https://pith.science/api/pith-number/5HIGL3XEDFIOLXHIEKSTTSORTJ/graph.json","events_json":"https://pith.science/api/pith-number/5HIGL3XEDFIOLXHIEKSTTSORTJ/events.json","paper":"https://pith.science/paper/5HIGL3XE"},"agent_actions":{"view_html":"https://pith.science/pith/5HIGL3XEDFIOLXHIEKSTTSORTJ","download_json":"https://pith.science/pith/5HIGL3XEDFIOLXHIEKSTTSORTJ.json","view_paper":"https://pith.science/paper/5HIGL3XE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.5536&json=true","fetch_graph":"https://pith.science/api/pith-number/5HIGL3XEDFIOLXHIEKSTTSORTJ/graph.json","fetch_events":"https://pith.science/api/pith-number/5HIGL3XEDFIOLXHIEKSTTSORTJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5HIGL3XEDFIOLXHIEKSTTSORTJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5HIGL3XEDFIOLXHIEKSTTSORTJ/action/storage_attestation","attest_author":"https://pith.science/pith/5HIGL3XEDFIOLXHIEKSTTSORTJ/action/author_attestation","sign_citation":"https://pith.science/pith/5HIGL3XEDFIOLXHIEKSTTSORTJ/action/citation_signature","submit_replication":"https://pith.science/pith/5HIGL3XEDFIOLXHIEKSTTSORTJ/action/replication_record"}},"created_at":"2026-05-18T02:18:52.162697+00:00","updated_at":"2026-05-18T02:18:52.162697+00:00"}