{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:H3CVUVQX32GIDX7YCS4ICJPZPD","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":"3ec95ec274190089db6ee1ae9b0cff3aa27149183b4923a975626410147660fd","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2022-10-10T08:33:05Z","title_canon_sha256":"3635f09e6390c2e510b3387940db8226158ab9c8db9d6750b502ac987c075fe2"},"schema_version":"1.0","source":{"id":"2210.04488","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.04488","created_at":"2026-07-05T06:35:45Z"},{"alias_kind":"arxiv_version","alias_value":"2210.04488v2","created_at":"2026-07-05T06:35:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.04488","created_at":"2026-07-05T06:35:45Z"},{"alias_kind":"pith_short_12","alias_value":"H3CVUVQX32GI","created_at":"2026-07-05T06:35:45Z"},{"alias_kind":"pith_short_16","alias_value":"H3CVUVQX32GIDX7Y","created_at":"2026-07-05T06:35:45Z"},{"alias_kind":"pith_short_8","alias_value":"H3CVUVQX","created_at":"2026-07-05T06:35:45Z"}],"graph_snapshots":[{"event_id":"sha256:fdff869a29032f9a070cc4a48c252f7dde9166dbfd6d30c3704763fce062575f","target":"graph","created_at":"2026-07-05T06:35:45Z","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/2210.04488/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modern datasets are trending towards ever higher dimension. In response, recent theoretical studies of covariance estimation often assume the proportional-growth asymptotic framework, where the sample size $n$ and dimension $p$ are comparable, with $n, p \\rightarrow \\infty $ and $\\gamma_n = p/n \\rightarrow \\gamma > 0$. Yet, many datasets -- perhaps most -- have very different numbers of rows and columns. We consider instead the disproportional-growth asymptotic framework, where $n, p \\rightarrow \\infty$ and $\\gamma_n \\rightarrow 0$ or $\\gamma_n \\rightarrow \\infty$. Either disproportional limit","authors_text":"David L. Donoho, Michael J. Feldman","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2022-10-10T08:33:05Z","title":"Optimal Eigenvalue Shrinkage in the Semicircle Limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.04488","kind":"arxiv","version":2},"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":"sha256:563cb88e0b93e86569571cb7db262bf772a81bd8ffe7e34d0efd833d28e9667e","target":"record","created_at":"2026-07-05T06:35:45Z","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":"3ec95ec274190089db6ee1ae9b0cff3aa27149183b4923a975626410147660fd","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2022-10-10T08:33:05Z","title_canon_sha256":"3635f09e6390c2e510b3387940db8226158ab9c8db9d6750b502ac987c075fe2"},"schema_version":"1.0","source":{"id":"2210.04488","kind":"arxiv","version":2}},"canonical_sha256":"3ec55a5617de8c81dff814b88125f978d10a122c00ac614baa05e525df20e1bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ec55a5617de8c81dff814b88125f978d10a122c00ac614baa05e525df20e1bd","first_computed_at":"2026-07-05T06:35:45.898809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:35:45.898809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L1VwvDwZMK4ZCQ4vnTV/ClhFAOl+/v8cOmdgxANX+TfA4pEaZ1/dedgpFqN6JXnRyfWFQYmhnO9w0N5RLaCFDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:35:45.899290Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.04488","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:563cb88e0b93e86569571cb7db262bf772a81bd8ffe7e34d0efd833d28e9667e","sha256:fdff869a29032f9a070cc4a48c252f7dde9166dbfd6d30c3704763fce062575f"],"state_sha256":"d16ea7d8dfbbd96412bfc8a56091905425f1d8b5ece9bbc530123a341547ea29"}