{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:XVXR3E7GYMGFPW5774S2YTDL6C","short_pith_number":"pith:XVXR3E7G","canonical_record":{"source":{"id":"1504.05800","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-04-22T13:40:04Z","cross_cats_sorted":["cs.CR"],"title_canon_sha256":"c1700b58034c0041fea0be2308b1b0f7e64393841fc1e6a22f6dbcb9d9d4892f","abstract_canon_sha256":"4e8c565c4f7e1004ebe75eaf3b47c0d1f7709140b6fa9f62fb016a897f833945"},"schema_version":"1.0"},"canonical_sha256":"bd6f1d93e6c30c57dbbfff25ac4c6bf08ed45329ffa414dd8373abd0fb8e3086","source":{"kind":"arxiv","id":"1504.05800","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05800","created_at":"2026-05-18T01:27:23Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05800v2","created_at":"2026-05-18T01:27:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05800","created_at":"2026-05-18T01:27:23Z"},{"alias_kind":"pith_short_12","alias_value":"XVXR3E7GYMGF","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XVXR3E7GYMGFPW57","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XVXR3E7G","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:XVXR3E7GYMGFPW5774S2YTDL6C","target":"record","payload":{"canonical_record":{"source":{"id":"1504.05800","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-04-22T13:40:04Z","cross_cats_sorted":["cs.CR"],"title_canon_sha256":"c1700b58034c0041fea0be2308b1b0f7e64393841fc1e6a22f6dbcb9d9d4892f","abstract_canon_sha256":"4e8c565c4f7e1004ebe75eaf3b47c0d1f7709140b6fa9f62fb016a897f833945"},"schema_version":"1.0"},"canonical_sha256":"bd6f1d93e6c30c57dbbfff25ac4c6bf08ed45329ffa414dd8373abd0fb8e3086","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:23.894306Z","signature_b64":"dwpYQMKm64WiUxokyXU/xKbzWI02weH2OfUUszHvV5QCyY5wjHK39EF80gacIALuJcYrP6AsvZBklEjtIdCvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd6f1d93e6c30c57dbbfff25ac4c6bf08ed45329ffa414dd8373abd0fb8e3086","last_reissued_at":"2026-05-18T01:27:23.893798Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:23.893798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.05800","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:27:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8r5QrFTvIIm5qMjisROXXHdm/vUD9T0UJUa1SAm+64448EeSCMUqSCFRwXCVppV3wG2KCxguy0HN5x5osqF/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:25:21.409697Z"},"content_sha256":"5f5d4e77e13022192c5fcf36632205e213c1a01a8c394a02e98f022710523084","schema_version":"1.0","event_id":"sha256:5f5d4e77e13022192c5fcf36632205e213c1a01a8c394a02e98f022710523084"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:XVXR3E7GYMGFPW5774S2YTDL6C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Generalization Properties of Differential Privacy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CR"],"primary_cat":"cs.LG","authors_text":"Kobbi Nissim, Uri Stemmer","submitted_at":"2015-04-22T13:40:04Z","abstract_excerpt":"A new line of work, started with Dwork et al., studies the task of answering statistical queries using a sample and relates the problem to the concept of differential privacy. By the Hoeffding bound, a sample of size $O(\\log k/\\alpha^2)$ suffices to answer $k$ non-adaptive queries within error $\\alpha$, where the answers are computed by evaluating the statistical queries on the sample. This argument fails when the queries are chosen adaptively (and can hence depend on the sample). Dwork et al. showed that if the answers are computed with $(\\epsilon,\\delta)$-differential privacy then $O(\\epsilo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05800","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:27:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T58cARKiCSgOzC+7iJnuD+fjKvky1fgIwXN3VlVVS9uecSNhkVyGTPrphyMJY/ZZlUTryxojKN9yXgevfqI9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:25:21.410045Z"},"content_sha256":"8dac475f3c8a46ce7bd2f45de32cd724fa16aa3c9f414a9054eda6d2747e9bba","schema_version":"1.0","event_id":"sha256:8dac475f3c8a46ce7bd2f45de32cd724fa16aa3c9f414a9054eda6d2747e9bba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XVXR3E7GYMGFPW5774S2YTDL6C/bundle.json","state_url":"https://pith.science/pith/XVXR3E7GYMGFPW5774S2YTDL6C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XVXR3E7GYMGFPW5774S2YTDL6C/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T23:25:21Z","links":{"resolver":"https://pith.science/pith/XVXR3E7GYMGFPW5774S2YTDL6C","bundle":"https://pith.science/pith/XVXR3E7GYMGFPW5774S2YTDL6C/bundle.json","state":"https://pith.science/pith/XVXR3E7GYMGFPW5774S2YTDL6C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XVXR3E7GYMGFPW5774S2YTDL6C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XVXR3E7GYMGFPW5774S2YTDL6C","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":"4e8c565c4f7e1004ebe75eaf3b47c0d1f7709140b6fa9f62fb016a897f833945","cross_cats_sorted":["cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-04-22T13:40:04Z","title_canon_sha256":"c1700b58034c0041fea0be2308b1b0f7e64393841fc1e6a22f6dbcb9d9d4892f"},"schema_version":"1.0","source":{"id":"1504.05800","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05800","created_at":"2026-05-18T01:27:23Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05800v2","created_at":"2026-05-18T01:27:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05800","created_at":"2026-05-18T01:27:23Z"},{"alias_kind":"pith_short_12","alias_value":"XVXR3E7GYMGF","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XVXR3E7GYMGFPW57","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XVXR3E7G","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:8dac475f3c8a46ce7bd2f45de32cd724fa16aa3c9f414a9054eda6d2747e9bba","target":"graph","created_at":"2026-05-18T01:27:23Z","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":"A new line of work, started with Dwork et al., studies the task of answering statistical queries using a sample and relates the problem to the concept of differential privacy. By the Hoeffding bound, a sample of size $O(\\log k/\\alpha^2)$ suffices to answer $k$ non-adaptive queries within error $\\alpha$, where the answers are computed by evaluating the statistical queries on the sample. This argument fails when the queries are chosen adaptively (and can hence depend on the sample). Dwork et al. showed that if the answers are computed with $(\\epsilon,\\delta)$-differential privacy then $O(\\epsilo","authors_text":"Kobbi Nissim, Uri Stemmer","cross_cats":["cs.CR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-04-22T13:40:04Z","title":"On the Generalization Properties of Differential Privacy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05800","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":"sha256:5f5d4e77e13022192c5fcf36632205e213c1a01a8c394a02e98f022710523084","target":"record","created_at":"2026-05-18T01:27:23Z","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":"4e8c565c4f7e1004ebe75eaf3b47c0d1f7709140b6fa9f62fb016a897f833945","cross_cats_sorted":["cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-04-22T13:40:04Z","title_canon_sha256":"c1700b58034c0041fea0be2308b1b0f7e64393841fc1e6a22f6dbcb9d9d4892f"},"schema_version":"1.0","source":{"id":"1504.05800","kind":"arxiv","version":2}},"canonical_sha256":"bd6f1d93e6c30c57dbbfff25ac4c6bf08ed45329ffa414dd8373abd0fb8e3086","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd6f1d93e6c30c57dbbfff25ac4c6bf08ed45329ffa414dd8373abd0fb8e3086","first_computed_at":"2026-05-18T01:27:23.893798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:23.893798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dwpYQMKm64WiUxokyXU/xKbzWI02weH2OfUUszHvV5QCyY5wjHK39EF80gacIALuJcYrP6AsvZBklEjtIdCvDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:23.894306Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05800","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f5d4e77e13022192c5fcf36632205e213c1a01a8c394a02e98f022710523084","sha256:8dac475f3c8a46ce7bd2f45de32cd724fa16aa3c9f414a9054eda6d2747e9bba"],"state_sha256":"f6dc8cf50674b44ac7a2dd5c47ca408f60d72259d8f2ae3db574317702a42302"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I7qnjAHTPtqjJdOrV6xo4fBxWCeZn8u8cNVsGmHf3VU91QpMxw4GSh+NWa6BmSDlDX/58AT6EyfpxYO7m0oRAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T23:25:21.412038Z","bundle_sha256":"99916dce8c588df57093c3d3bc4990093d19dc8f9f5e8846956d2fe9aeebf224"}}