{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZQDWUI7JB7OXXFHELK3HXZDXLM","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":"d1b32508dcd2b217ed90642e66f252fae1b0e6c6f4ca7ff5531b5c376b1eb3ee","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-01-22T03:17:30Z","title_canon_sha256":"68cded494a797754b3ed40115db49e92ff3f6956077f1e086da37ab2149be051"},"schema_version":"1.0","source":{"id":"1601.05870","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.05870","created_at":"2026-05-18T01:22:10Z"},{"alias_kind":"arxiv_version","alias_value":"1601.05870v1","created_at":"2026-05-18T01:22:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05870","created_at":"2026-05-18T01:22:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZQDWUI7JB7OX","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZQDWUI7JB7OXXFHE","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZQDWUI7J","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:9bb33d764c96160ebcf6d118caa56a7910c5d5082589de700eeaaf19324154db","target":"graph","created_at":"2026-05-18T01:22:10Z","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"},"paper":{"abstract_excerpt":"This paper deals with certain estimation problems involving the covariance matrix in large dimensions. Due to the breakdown of finite-dimensional asymptotic theory when the dimension is not negligible with respect to the sample size, it is necessary to resort to an alternative framework known as large-dimensional asymptotics. Recently, Ledoit and Wolf (2015) have proposed an estimator of the eigenvalues of the population covariance matrix that is consistent according to a mean-square criterion under large-dimensional asymptotics. It requires numerical inversion of a multivariate nonrandom func","authors_text":"Michael Wolf, Olivier Ledoit","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-01-22T03:17:30Z","title":"Numerical Implementation of the QuEST Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05870","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":"sha256:0a5ff106d438523cfbbb7b5189320e63dd15bf9932a1b75425de7b1aa56d1c78","target":"record","created_at":"2026-05-18T01:22:10Z","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":"d1b32508dcd2b217ed90642e66f252fae1b0e6c6f4ca7ff5531b5c376b1eb3ee","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-01-22T03:17:30Z","title_canon_sha256":"68cded494a797754b3ed40115db49e92ff3f6956077f1e086da37ab2149be051"},"schema_version":"1.0","source":{"id":"1601.05870","kind":"arxiv","version":1}},"canonical_sha256":"cc076a23e90fdd7b94e45ab67be4775b160b1e5d2ec877a78f666287d95cc1a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc076a23e90fdd7b94e45ab67be4775b160b1e5d2ec877a78f666287d95cc1a4","first_computed_at":"2026-05-18T01:22:10.834077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:10.834077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y7i3UX38iBc4/fvtpfjH5at6l+57b9MG6sW3bo9cOX2dHrOfLU3IrO6SkeMy6lB5UH25afIB8FP6eEwT5a34DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:10.834685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.05870","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a5ff106d438523cfbbb7b5189320e63dd15bf9932a1b75425de7b1aa56d1c78","sha256:9bb33d764c96160ebcf6d118caa56a7910c5d5082589de700eeaaf19324154db"],"state_sha256":"3528cd8990efc3995ebcab77b82055c1d33bb32fefea5dd6c3323f37a72abc90"}