{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:UME75KSTWC4RPYVGTBWFX3JBOP","short_pith_number":"pith:UME75KST","canonical_record":{"source":{"id":"0811.2501","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2008-11-16T18:48:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"128a49dd15f006a5f732a0fcf8bed39e56bf73094e6990c8a5ab9c6e4af1bd05","abstract_canon_sha256":"273aac8fe54f8cdd694fc05a7600525a7621fcf5e9e234670f8c6ba4690644d7"},"schema_version":"1.0"},"canonical_sha256":"a309feaa53b0b917e2a6986c5bed2173ef61d80923834c0f22c6325788688d94","source":{"kind":"arxiv","id":"0811.2501","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2501","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2501v2","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2501","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"UME75KSTWC4R","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"UME75KSTWC4RPYVG","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"UME75KST","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:UME75KSTWC4RPYVGTBWFX3JBOP","target":"record","payload":{"canonical_record":{"source":{"id":"0811.2501","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2008-11-16T18:48:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"128a49dd15f006a5f732a0fcf8bed39e56bf73094e6990c8a5ab9c6e4af1bd05","abstract_canon_sha256":"273aac8fe54f8cdd694fc05a7600525a7621fcf5e9e234670f8c6ba4690644d7"},"schema_version":"1.0"},"canonical_sha256":"a309feaa53b0b917e2a6986c5bed2173ef61d80923834c0f22c6325788688d94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:55.229199Z","signature_b64":"Zau4GpzWYbCFDY3ie+5Yy6zeEyXf3Vpo8ZgrntE2vcs8dGaoF58gZrsmVQi9csKyCpOQKqbQMGQxd/b7kz9sDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a309feaa53b0b917e2a6986c5bed2173ef61d80923834c0f22c6325788688d94","last_reissued_at":"2026-05-18T04:04:55.228648Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:55.228648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.2501","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":"2026-05-18T04:04:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iqCTpcxYu/pBrQHMVde8mq9BssKC7uk+zJbhDP6C8KMXkoHIVdkRCcYbij++zCB0V/xR+uwlwW6eVpcs/O4CCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T21:30:41.954501Z"},"content_sha256":"c45fed98e154db2e60c253a5a387f74a4934bbcf3da7c6a559a61824cea67704","schema_version":"1.0","event_id":"sha256:c45fed98e154db2e60c253a5a387f74a4934bbcf3da7c6a559a61824cea67704"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:UME75KSTWC4RPYVGTBWFX3JBOP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A statistical framework for differential privacy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Larry Wasserman, Shuheng Zhou","submitted_at":"2008-11-16T18:48:27Z","abstract_excerpt":"One goal of statistical privacy research is to construct a data release mechanism that protects individual privacy while preserving information content. An example is a {\\em random mechanism} that takes an input database $X$ and outputs a random database $Z$ according to a distribution $Q_n(\\cdot|X)$. {\\em Differential privacy} is a particular privacy requirement developed by computer scientists in which $Q_n(\\cdot |X)$ is required to be insensitive to changes in one data point in $X$. This makes it difficult to infer from $Z$ whether a given individual is in the original database $X$. We cons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2501","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":"2026-05-18T04:04:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AWrptMiNM2FVqsWVbGv5ZaiMc800TF2AgRgkd7RJnUGnZJkin4sr330i6G55/peiGZFMce6lMBhiE5kOjBcABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T21:30:41.955004Z"},"content_sha256":"a8965501974fa6917ff2cdb1bfccc84938fcd684eeeb280761cde77134f1eaa8","schema_version":"1.0","event_id":"sha256:a8965501974fa6917ff2cdb1bfccc84938fcd684eeeb280761cde77134f1eaa8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UME75KSTWC4RPYVGTBWFX3JBOP/bundle.json","state_url":"https://pith.science/pith/UME75KSTWC4RPYVGTBWFX3JBOP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UME75KSTWC4RPYVGTBWFX3JBOP/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":"2026-05-20T21:30:41Z","links":{"resolver":"https://pith.science/pith/UME75KSTWC4RPYVGTBWFX3JBOP","bundle":"https://pith.science/pith/UME75KSTWC4RPYVGTBWFX3JBOP/bundle.json","state":"https://pith.science/pith/UME75KSTWC4RPYVGTBWFX3JBOP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UME75KSTWC4RPYVGTBWFX3JBOP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:UME75KSTWC4RPYVGTBWFX3JBOP","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":"273aac8fe54f8cdd694fc05a7600525a7621fcf5e9e234670f8c6ba4690644d7","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2008-11-16T18:48:27Z","title_canon_sha256":"128a49dd15f006a5f732a0fcf8bed39e56bf73094e6990c8a5ab9c6e4af1bd05"},"schema_version":"1.0","source":{"id":"0811.2501","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2501","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2501v2","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2501","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"UME75KSTWC4R","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"UME75KSTWC4RPYVG","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"UME75KST","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:a8965501974fa6917ff2cdb1bfccc84938fcd684eeeb280761cde77134f1eaa8","target":"graph","created_at":"2026-05-18T04:04:55Z","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":"One goal of statistical privacy research is to construct a data release mechanism that protects individual privacy while preserving information content. An example is a {\\em random mechanism} that takes an input database $X$ and outputs a random database $Z$ according to a distribution $Q_n(\\cdot|X)$. {\\em Differential privacy} is a particular privacy requirement developed by computer scientists in which $Q_n(\\cdot |X)$ is required to be insensitive to changes in one data point in $X$. This makes it difficult to infer from $Z$ whether a given individual is in the original database $X$. We cons","authors_text":"Larry Wasserman, Shuheng Zhou","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2008-11-16T18:48:27Z","title":"A statistical framework for differential privacy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2501","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:c45fed98e154db2e60c253a5a387f74a4934bbcf3da7c6a559a61824cea67704","target":"record","created_at":"2026-05-18T04:04:55Z","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":"273aac8fe54f8cdd694fc05a7600525a7621fcf5e9e234670f8c6ba4690644d7","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2008-11-16T18:48:27Z","title_canon_sha256":"128a49dd15f006a5f732a0fcf8bed39e56bf73094e6990c8a5ab9c6e4af1bd05"},"schema_version":"1.0","source":{"id":"0811.2501","kind":"arxiv","version":2}},"canonical_sha256":"a309feaa53b0b917e2a6986c5bed2173ef61d80923834c0f22c6325788688d94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a309feaa53b0b917e2a6986c5bed2173ef61d80923834c0f22c6325788688d94","first_computed_at":"2026-05-18T04:04:55.228648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:55.228648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zau4GpzWYbCFDY3ie+5Yy6zeEyXf3Vpo8ZgrntE2vcs8dGaoF58gZrsmVQi9csKyCpOQKqbQMGQxd/b7kz9sDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:55.229199Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.2501","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c45fed98e154db2e60c253a5a387f74a4934bbcf3da7c6a559a61824cea67704","sha256:a8965501974fa6917ff2cdb1bfccc84938fcd684eeeb280761cde77134f1eaa8"],"state_sha256":"ac5718b44d41959630b79c17d8945f7b5ded0c63fcd9ca87f4029c6bac9813aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u9VELT+LOOIeG2qGydNyrUEQ+WpKLLPEuHpRkpOJb0MMdUrGEMWwxCrXtxEnHGdq33Vc9SuB3LxylXJgjUDjBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T21:30:41.958254Z","bundle_sha256":"8a7ee088e98dd1ec4bdb2165cc6e022675953be70d63532459c42bb39cb85a5f"}}