{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:W23XPIHA4SWIXUBJR7FLGIDQXC","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":"f0b9563daef7ac2c96e98a0e899e47959d0b8d96e3096b71780670efb1f8ac04","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-07-26T06:30:04Z","title_canon_sha256":"01df419ce66ec0ec99b0620149d1bac28129823c33def88974e6334bc8a9cfa7"},"schema_version":"1.0","source":{"id":"1907.11391","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.11391","created_at":"2026-07-05T00:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1907.11391v2","created_at":"2026-07-05T00:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.11391","created_at":"2026-07-05T00:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"W23XPIHA4SWI","created_at":"2026-07-05T00:43:02Z"},{"alias_kind":"pith_short_16","alias_value":"W23XPIHA4SWIXUBJ","created_at":"2026-07-05T00:43:02Z"},{"alias_kind":"pith_short_8","alias_value":"W23XPIHA","created_at":"2026-07-05T00:43:02Z"}],"graph_snapshots":[{"event_id":"sha256:f2be59cd1f2a96bd55299c6808fa56f2a4fe9130390f28c7bfb2e67b771edbc2","target":"graph","created_at":"2026-07-05T00:43:02Z","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/1907.11391/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of estimating the mean of a random vector based on i.i.d. observations and adversarial contamination. We introduce a multivariate extension of the trimmed-mean estimator and show its optimal performance under minimal conditions.","authors_text":"Gabor Lugosi, Shahar Mendelson","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-07-26T06:30:04Z","title":"Robust multivariate mean estimation: the optimality of trimmed mean"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.11391","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:a5309e38ec23782e4ea09f3f2b2889930e3a38b09ec9275a90605df20da17fa8","target":"record","created_at":"2026-07-05T00:43:02Z","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":"f0b9563daef7ac2c96e98a0e899e47959d0b8d96e3096b71780670efb1f8ac04","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-07-26T06:30:04Z","title_canon_sha256":"01df419ce66ec0ec99b0620149d1bac28129823c33def88974e6334bc8a9cfa7"},"schema_version":"1.0","source":{"id":"1907.11391","kind":"arxiv","version":2}},"canonical_sha256":"b6b777a0e0e4ac8bd0298fcab32070b888d7fb9a770b1e25d9aae70192abe565","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6b777a0e0e4ac8bd0298fcab32070b888d7fb9a770b1e25d9aae70192abe565","first_computed_at":"2026-07-05T00:43:02.374267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:43:02.374267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z7LpEtarq+OZIOH6+kqb4fi4TCTBMUVoiGs7vOlM0iJzUXZqhufXekbBnwEGbDaTXsF3iOD4QW5+DQOoTbfsBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:43:02.374770Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.11391","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5309e38ec23782e4ea09f3f2b2889930e3a38b09ec9275a90605df20da17fa8","sha256:f2be59cd1f2a96bd55299c6808fa56f2a4fe9130390f28c7bfb2e67b771edbc2"],"state_sha256":"025656450edd2231ed8d61f5f99e77a6220ab693c4ceb2a2e1b3ddc3d7977509"}