{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:RFITVCYG3EUUIVKR2DJMITGXGP","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":"47514fa3f24e9368923a8c3cf0ecece4a00aefcc9319a0b66ec98135ea6e0d96","cross_cats_sorted":["cs.CR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-03-31T18:27:53Z","title_canon_sha256":"44fa1cd0cbb611094f00d1b2ad93b27554649ea83bcfb74f9ebd486d4c58e855"},"schema_version":"1.0","source":{"id":"1904.00459","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.00459","created_at":"2026-05-17T23:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1904.00459v1","created_at":"2026-05-17T23:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00459","created_at":"2026-05-17T23:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"RFITVCYG3EUU","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"RFITVCYG3EUUIVKR","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"RFITVCYG","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:453bedfeab0242b7b7cbe2e532dee046cb03aac254b103a01af54abf4f5bad36","target":"graph","created_at":"2026-05-17T23:49:48Z","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"},"paper":{"abstract_excerpt":"We derive uniformly most powerful (UMP) tests for simple and one-sided hypotheses for a population proportion within the framework of Differential Privacy (DP), optimizing finite sample performance. We show that in general, DP hypothesis tests can be written in terms of linear constraints, and for exchangeable data can always be expressed as a function of the empirical distribution. Using this structure, we prove a 'Neyman-Pearson lemma' for binomial data under DP, where the DP-UMP only depends on the sample sum. Our tests can also be stated as a post-processing of a random variable, whose dis","authors_text":"Aleksandra Slavkovic, Jordan Awan","cross_cats":["cs.CR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-03-31T18:27:53Z","title":"Differentially Private Inference for Binomial Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00459","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":"sha256:28c662f08f0d38c35bdfe3f651270036e260f0c8ebb56e0a435890487b9ca26c","target":"record","created_at":"2026-05-17T23:49:48Z","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":"47514fa3f24e9368923a8c3cf0ecece4a00aefcc9319a0b66ec98135ea6e0d96","cross_cats_sorted":["cs.CR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-03-31T18:27:53Z","title_canon_sha256":"44fa1cd0cbb611094f00d1b2ad93b27554649ea83bcfb74f9ebd486d4c58e855"},"schema_version":"1.0","source":{"id":"1904.00459","kind":"arxiv","version":1}},"canonical_sha256":"89513a8b06d929445551d0d2c44cd733d2931e69e7ff8db55028d5bdebb6b7b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89513a8b06d929445551d0d2c44cd733d2931e69e7ff8db55028d5bdebb6b7b9","first_computed_at":"2026-05-17T23:49:48.356420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:48.356420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c10e7Olk00xToDUlqoaXo4W/ikDS5CSqgXDsiN3Y22zTTz1OcXEReO1BMUWmCXt8u2IObXlQu1hioekmR24/Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:48.357018Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.00459","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28c662f08f0d38c35bdfe3f651270036e260f0c8ebb56e0a435890487b9ca26c","sha256:453bedfeab0242b7b7cbe2e532dee046cb03aac254b103a01af54abf4f5bad36"],"state_sha256":"49b37f10bec4bd65bf9ea0a707e0a1722063c4181fb86269a323d83b5c2af597"}