{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NLOSIINX3GRJUCX5R73ZF4RQC7","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":"6de5b60b9246a923061cc86e4519141ed4f4216a18e9cff6cb8a75d5028cf482","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2019-09-24T23:28:19Z","title_canon_sha256":"b3a1dcfa9d7269f4a9cc82cbaf76a391f2885185169c2d87668cc21c086d0761"},"schema_version":"1.0","source":{"id":"1909.11225","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.11225","created_at":"2026-07-05T00:07:09Z"},{"alias_kind":"arxiv_version","alias_value":"1909.11225v1","created_at":"2026-07-05T00:07:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.11225","created_at":"2026-07-05T00:07:09Z"},{"alias_kind":"pith_short_12","alias_value":"NLOSIINX3GRJ","created_at":"2026-07-05T00:07:09Z"},{"alias_kind":"pith_short_16","alias_value":"NLOSIINX3GRJUCX5","created_at":"2026-07-05T00:07:09Z"},{"alias_kind":"pith_short_8","alias_value":"NLOSIINX","created_at":"2026-07-05T00:07:09Z"}],"graph_snapshots":[{"event_id":"sha256:672682f9259ae06fb4ad95d96c19657d5e4cffc0737c02b79ecbab07c8b5f7ff","target":"graph","created_at":"2026-07-05T00:07:09Z","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/1909.11225/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A protocol by Ishai et al.\\ (FOCS 2006) showing how to implement distributed $n$-party summation from secure shuffling has regained relevance in the context of the recently proposed \\emph{shuffle model} of differential privacy, as it allows to attain the accuracy levels of the curator model at a moderate communication cost. To achieve statistical security $2^{-\\sigma}$, the protocol by Ishai et al.\\ requires the number of messages sent by each party to {\\em grow} logarithmically with $n$ as $O(\\log n + \\sigma)$. In this note we give an improved analysis achieving a dependency of the form $O(1+","authors_text":"Adria Gascon, Borja Balle, James Bell, Kobbi Nissim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2019-09-24T23:28:19Z","title":"Improved Summation from Shuffling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.11225","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:df01dc0ec613c8da46743d705963a501be566c260d803ffaec54c99b2dc6a61e","target":"record","created_at":"2026-07-05T00:07:09Z","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":"6de5b60b9246a923061cc86e4519141ed4f4216a18e9cff6cb8a75d5028cf482","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2019-09-24T23:28:19Z","title_canon_sha256":"b3a1dcfa9d7269f4a9cc82cbaf76a391f2885185169c2d87668cc21c086d0761"},"schema_version":"1.0","source":{"id":"1909.11225","kind":"arxiv","version":1}},"canonical_sha256":"6add2421b7d9a29a0afd8ff792f23017f865d7e11f9c467a26c01d2f879d94ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6add2421b7d9a29a0afd8ff792f23017f865d7e11f9c467a26c01d2f879d94ab","first_computed_at":"2026-07-05T00:07:09.542484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:07:09.542484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DgrrPitpDH0wvHVCC0HuwRAhK4z6Zandf9v3DZr1u9Pkulj5be92FO+2DQl4k6vFNoSSQjSja7aSBZ7DoqsWBg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:07:09.542853Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.11225","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df01dc0ec613c8da46743d705963a501be566c260d803ffaec54c99b2dc6a61e","sha256:672682f9259ae06fb4ad95d96c19657d5e4cffc0737c02b79ecbab07c8b5f7ff"],"state_sha256":"48edd24bf60b95b3add0b87311062e39264fa5387a4fe07f23925d698103ca7a"}