{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SXZK2NSV6F7GEY2DCNLZO4UDLB","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":"39eaa70866402ab9f872a83d2389e6c13758bcf6f2939eccc4d20a5b8d71a134","cross_cats_sorted":["cs.CR","cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2021-10-22T16:02:21Z","title_canon_sha256":"61de4e40351d5e4852b21a48fe84edb9325aad9ab5fe5343bfd73b40da4490a5"},"schema_version":"1.0","source":{"id":"2110.11876","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.11876","created_at":"2026-07-05T04:30:53Z"},{"alias_kind":"arxiv_version","alias_value":"2110.11876v2","created_at":"2026-07-05T04:30:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.11876","created_at":"2026-07-05T04:30:53Z"},{"alias_kind":"pith_short_12","alias_value":"SXZK2NSV6F7G","created_at":"2026-07-05T04:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"SXZK2NSV6F7GEY2D","created_at":"2026-07-05T04:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"SXZK2NSV","created_at":"2026-07-05T04:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:b9d4612bc1af64f419be37126c1c17f860ba3583c552d772f03915e0f55388c4","target":"graph","created_at":"2026-07-05T04:30:53Z","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/2110.11876/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we study high-dimensional mean estimation under user-level differential privacy, and design an $(\\varepsilon,\\delta)$-differentially private mechanism using as few users as possible. In particular, we provide a nearly optimal trade-off between the number of users and the number of samples per user required for private mean estimation, even when the number of users is as low as $O(\\frac{1}{\\varepsilon}\\log\\frac{1}{\\delta})$. Interestingly, this bound on the number of \\emph{users} is independent of the dimension (though the number of \\emph{samples per user} is allowed to depend pol","authors_text":"Hossein Esfandiari, Shyam Narayanan, Vahab Mirrokni","cross_cats":["cs.CR","cs.LG","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2021-10-22T16:02:21Z","title":"Tight and Robust Private Mean Estimation with Few Users"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.11876","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":"sha256:89585eaff469144dba51a3a145b46078d962dba4ded3e9e8c44f06f73adba228","target":"record","created_at":"2026-07-05T04:30:53Z","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":"39eaa70866402ab9f872a83d2389e6c13758bcf6f2939eccc4d20a5b8d71a134","cross_cats_sorted":["cs.CR","cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2021-10-22T16:02:21Z","title_canon_sha256":"61de4e40351d5e4852b21a48fe84edb9325aad9ab5fe5343bfd73b40da4490a5"},"schema_version":"1.0","source":{"id":"2110.11876","kind":"arxiv","version":2}},"canonical_sha256":"95f2ad3655f17e6263431357977283586f54c1be64e8384bf64af35d150a9054","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95f2ad3655f17e6263431357977283586f54c1be64e8384bf64af35d150a9054","first_computed_at":"2026-07-05T04:30:53.562918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:30:53.562918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E4pisrWOOApJQZ7bBM2vCIRJOkk/nSkBDFJjk1i8PgqO5MgpNfybxSAShv3t/vQdURwz2upv9ig0Bx7KxdpKAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:30:53.563367Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.11876","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89585eaff469144dba51a3a145b46078d962dba4ded3e9e8c44f06f73adba228","sha256:b9d4612bc1af64f419be37126c1c17f860ba3583c552d772f03915e0f55388c4"],"state_sha256":"33c55083b14471d763b5b594d7de4ff1b25080ecc82c16c51cccfdc617f9f5cd"}