{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OKDOIER5CP32GYY4UDOESFPNE4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1746cbaa1605239580c8cc76a892c1393d6e3585f96bd03a1e320b4a82c533dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-06-03T03:53:51Z","title_canon_sha256":"ab999da9859ab65f6a0f982202d80f55f75912b8b81e39a2244974580dd45899"},"schema_version":"1.0","source":{"id":"2506.02410","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.02410","created_at":"2026-07-05T11:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"2506.02410v1","created_at":"2026-07-05T11:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.02410","created_at":"2026-07-05T11:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"OKDOIER5CP32","created_at":"2026-07-05T11:14:38Z"},{"alias_kind":"pith_short_16","alias_value":"OKDOIER5CP32GYY4","created_at":"2026-07-05T11:14:38Z"},{"alias_kind":"pith_short_8","alias_value":"OKDOIER5","created_at":"2026-07-05T11:14:38Z"}],"graph_snapshots":[{"event_id":"sha256:f2ac803d12aaa5bf7a55e796fee08dcefb6f93c31de45e68dc8fb83cf42c4685","target":"graph","created_at":"2026-07-05T11:14:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.02410/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The increasing prevalence of high-dimensional data across various applications has raised significant privacy concerns in statistical inference. In this paper, we propose a differentially private integrated statistic for testing large-dimensional covariance structures, enabling accurate statistical insights while safeguarding privacy. First, we analyze the global sensitivity of sample eigenvalues for sub-Gaussian populations, where our method bypasses the commonly assumed boundedness of data covariates. For sufficiently large sample size, the privatized statistic guarantees privacy with high p","authors_text":"Shiwei Sang, Shurong Zheng, Xuehu Zhu, Yicheng Zeng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-06-03T03:53:51Z","title":"Testing for large-dimensional covariance matrix under differential privacy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02410","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:69667292a567f24fea67ce4a352c6b4b5776074c0dbb0686dfac2e83cd5dd8f2","target":"record","created_at":"2026-07-05T11:14:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1746cbaa1605239580c8cc76a892c1393d6e3585f96bd03a1e320b4a82c533dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-06-03T03:53:51Z","title_canon_sha256":"ab999da9859ab65f6a0f982202d80f55f75912b8b81e39a2244974580dd45899"},"schema_version":"1.0","source":{"id":"2506.02410","kind":"arxiv","version":1}},"canonical_sha256":"7286e4123d13f7a3631ca0dc4915ed2714c71758bf7d2d48f1bfea109acdb603","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7286e4123d13f7a3631ca0dc4915ed2714c71758bf7d2d48f1bfea109acdb603","first_computed_at":"2026-07-05T11:14:38.270149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:38.270149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WKXZ5OVgu3wtbG5rDIflsTBcsXdyE59L8C8anXLMHqYqi6P2Pu0qWH4soCrf8jk21ZJmYQmDx5k80YN8UlLFBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:38.270541Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.02410","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69667292a567f24fea67ce4a352c6b4b5776074c0dbb0686dfac2e83cd5dd8f2","sha256:f2ac803d12aaa5bf7a55e796fee08dcefb6f93c31de45e68dc8fb83cf42c4685"],"state_sha256":"10c869c9a5981fb97b9f7c74054da0c926f0eeedb18a9085182126e023eb7f37"}