{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:YP5EQM2SNLMZQQTEX4UKT6C7D4","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":"db4586f71dfc3fa53369dfd2c1c0f9af8a22c9f97dd2b1377b4e9c0759d280ce","cross_cats_sorted":["cs.DC","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2022-10-26T10:00:14Z","title_canon_sha256":"b55601065d4dacb12531fa37f2ca29048bd7532ff5173e49f16b04fd8c9a1c2c"},"schema_version":"1.0","source":{"id":"2210.15414","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.15414","created_at":"2026-07-05T05:11:05Z"},{"alias_kind":"arxiv_version","alias_value":"2210.15414v1","created_at":"2026-07-05T05:11:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.15414","created_at":"2026-07-05T05:11:05Z"},{"alias_kind":"pith_short_12","alias_value":"YP5EQM2SNLMZ","created_at":"2026-07-05T05:11:05Z"},{"alias_kind":"pith_short_16","alias_value":"YP5EQM2SNLMZQQTE","created_at":"2026-07-05T05:11:05Z"},{"alias_kind":"pith_short_8","alias_value":"YP5EQM2S","created_at":"2026-07-05T05:11:05Z"}],"graph_snapshots":[{"event_id":"sha256:cbcab9c759873a1002ab51f2e014a2b9b31a35bcb3f8b07b5c78d2778d821a15","target":"graph","created_at":"2026-07-05T05:11:05Z","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/2210.15414/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the generation of dependent random numbers in a distributed fashion in order to enable privatized distributed learning by networked agents. We propose a method that we refer to as local graph-homomorphic processing; it relies on the construction of particular noises over the edges to ensure a certain level of differential privacy. We show that the added noise does not affect the performance of the learned model. This is a significant improvement to previous works on differential privacy for distributed algorithms, where the noise was added in a less structured manner without respectin","authors_text":"Ali H. Sayed, Elsa Rizk, Stefan Vlaski","cross_cats":["cs.DC","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2022-10-26T10:00:14Z","title":"Local Graph-homomorphic Processing for Privatized Distributed Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.15414","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":"sha256:67719c5653146c5349ff55af5eb57d2c0348bda4af3e0a66c0475046b99eb0af","target":"record","created_at":"2026-07-05T05:11:05Z","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":"db4586f71dfc3fa53369dfd2c1c0f9af8a22c9f97dd2b1377b4e9c0759d280ce","cross_cats_sorted":["cs.DC","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2022-10-26T10:00:14Z","title_canon_sha256":"b55601065d4dacb12531fa37f2ca29048bd7532ff5173e49f16b04fd8c9a1c2c"},"schema_version":"1.0","source":{"id":"2210.15414","kind":"arxiv","version":1}},"canonical_sha256":"c3fa4833526ad9984264bf28a9f85f1f3618e4569a2280a83720debd62b52547","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3fa4833526ad9984264bf28a9f85f1f3618e4569a2280a83720debd62b52547","first_computed_at":"2026-07-05T05:11:05.943828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:11:05.943828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q2PnoSdL92S6LM9yazOavkJDSDgxtQoNqxaxjjwOoMl5yShBSTuQBHN2CHe7tNEQi1ATVOBRPednkb7amRLqBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:11:05.944302Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.15414","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67719c5653146c5349ff55af5eb57d2c0348bda4af3e0a66c0475046b99eb0af","sha256:cbcab9c759873a1002ab51f2e014a2b9b31a35bcb3f8b07b5c78d2778d821a15"],"state_sha256":"7196ea609717ec43c86c5a6c4ef680956c18db9e53ed3ea855efabc29a7f0de0"}