{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:T7OY44D7QOIDKG6GSHIT6HC763","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":"9da845c8b6af17039c13c0d8f454e3631e7a00b2a87e5265cd92aa589efb639f","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-11-19T02:58:16Z","title_canon_sha256":"ebbd868bb7ae54c7a713216fe8e7429c8b08198183149989d0d09676ada550da"},"schema_version":"1.0","source":{"id":"1911.08063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.08063","created_at":"2026-07-05T00:20:24Z"},{"alias_kind":"arxiv_version","alias_value":"1911.08063v1","created_at":"2026-07-05T00:20:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.08063","created_at":"2026-07-05T00:20:24Z"},{"alias_kind":"pith_short_12","alias_value":"T7OY44D7QOID","created_at":"2026-07-05T00:20:24Z"},{"alias_kind":"pith_short_16","alias_value":"T7OY44D7QOIDKG6G","created_at":"2026-07-05T00:20:24Z"},{"alias_kind":"pith_short_8","alias_value":"T7OY44D7","created_at":"2026-07-05T00:20:24Z"}],"graph_snapshots":[{"event_id":"sha256:03cb5f4d207ec184b43caccd2e4075b628f33532e25bf90d7ad7c1ddb566976d","target":"graph","created_at":"2026-07-05T00:20:24Z","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/1911.08063/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study minimax rates for high-dimensional linear regression with additive errors under the $\\ell_p\\ (1\\leq p<\\infty)$-losses, where the regression parameter is of weak sparsity. Our lower and upper bounds agree up to constant factors, implying that the proposed estimator is minimax optimal.","authors_text":"Dongya Wu, Xin Li","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-11-19T02:58:16Z","title":"Minimax rates of $\\ell_p$-losses for high-dimensional linear regression models with additive measurement errors over $\\ell_q$-balls"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.08063","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:c8e18a42cba01e0014d4cde8a53610d41932839909d3b6a0f968d51d9074381d","target":"record","created_at":"2026-07-05T00:20:24Z","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":"9da845c8b6af17039c13c0d8f454e3631e7a00b2a87e5265cd92aa589efb639f","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-11-19T02:58:16Z","title_canon_sha256":"ebbd868bb7ae54c7a713216fe8e7429c8b08198183149989d0d09676ada550da"},"schema_version":"1.0","source":{"id":"1911.08063","kind":"arxiv","version":1}},"canonical_sha256":"9fdd8e707f8390351bc691d13f1c5ff6ec86f8f9e08217cd440330e5283c5d18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fdd8e707f8390351bc691d13f1c5ff6ec86f8f9e08217cd440330e5283c5d18","first_computed_at":"2026-07-05T00:20:24.845637Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:20:24.845637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9OUlYEaBVWCm+W7ub3DFqEI8LNGgQ2I7ShJE4FauTuo9iWmsHoC1KrmSLWgROWAmk2O0crXwi+UjiDKOXVeKAg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:20:24.846137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.08063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8e18a42cba01e0014d4cde8a53610d41932839909d3b6a0f968d51d9074381d","sha256:03cb5f4d207ec184b43caccd2e4075b628f33532e25bf90d7ad7c1ddb566976d"],"state_sha256":"4f0df3145898814324765f2098b6b3aca6d8c52dc6af5f4cfe575ff62b33f739"}