{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:RLNUOC63JXQHIX2YK2FZTYUHFV","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":"0a341dab584483b03a6126c3fd02a29baa64174367907c52124ae170257fc1b9","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2022-03-07T22:56:09Z","title_canon_sha256":"4edf34f8a466beb03d55f813252220b774161b5a20e46dc6a33c8315153caf86"},"schema_version":"1.0","source":{"id":"2203.03761","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.03761","created_at":"2026-07-05T04:02:43Z"},{"alias_kind":"arxiv_version","alias_value":"2203.03761v1","created_at":"2026-07-05T04:02:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.03761","created_at":"2026-07-05T04:02:43Z"},{"alias_kind":"pith_short_12","alias_value":"RLNUOC63JXQH","created_at":"2026-07-05T04:02:43Z"},{"alias_kind":"pith_short_16","alias_value":"RLNUOC63JXQHIX2Y","created_at":"2026-07-05T04:02:43Z"},{"alias_kind":"pith_short_8","alias_value":"RLNUOC63","created_at":"2026-07-05T04:02:43Z"}],"graph_snapshots":[{"event_id":"sha256:5a8efe1f5514d124907bf920c05e3575ae3e543abb28da3af919356c37a0e86f","target":"graph","created_at":"2026-07-05T04:02:43Z","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/2203.03761/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of training a $d$ dimensional model with distributed differential privacy (DP) where secure aggregation (SecAgg) is used to ensure that the server only sees the noisy sum of $n$ model updates in every training round. Taking into account the constraints imposed by SecAgg, we characterize the fundamental communication cost required to obtain the best accuracy achievable under $\\varepsilon$ central DP (i.e. under a fully trusted server and no communication constraints). Our results show that $\\tilde{O}\\left( \\min(n^2\\varepsilon^2, d) \\right)$ bits per client are both suffi","authors_text":"Ananda Theertha Suresh, Christopher A. Choquette-Choo, Peter Kairouz, Wei-Ning Chen","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2022-03-07T22:56:09Z","title":"The Fundamental Price of Secure Aggregation in Differentially Private Federated Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.03761","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:daa69d2f2421be1c7981e19f7d4f8ab002e444012be154373bdc00307cd7c89f","target":"record","created_at":"2026-07-05T04:02:43Z","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":"0a341dab584483b03a6126c3fd02a29baa64174367907c52124ae170257fc1b9","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2022-03-07T22:56:09Z","title_canon_sha256":"4edf34f8a466beb03d55f813252220b774161b5a20e46dc6a33c8315153caf86"},"schema_version":"1.0","source":{"id":"2203.03761","kind":"arxiv","version":1}},"canonical_sha256":"8adb470bdb4de0745f58568b99e2872d62544112cd35465d1b55fa14fa6b31da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8adb470bdb4de0745f58568b99e2872d62544112cd35465d1b55fa14fa6b31da","first_computed_at":"2026-07-05T04:02:43.272431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:02:43.272431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E/zpQydTx8af+jMyqVj/rkmpyQNqn0wfTja8EoS7aPuPG70FznWEAe8bUix/shHlOiJCA2cFdSsc1Ln8KqN5DA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:02:43.272926Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.03761","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:daa69d2f2421be1c7981e19f7d4f8ab002e444012be154373bdc00307cd7c89f","sha256:5a8efe1f5514d124907bf920c05e3575ae3e543abb28da3af919356c37a0e86f"],"state_sha256":"7d2f785c15fb98d780fa0a9b6c3017b76de2f57f743ee50870972e917df7b9f3"}