{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:63ZXETR2CD4L6YRG7RJHCOQH4C","short_pith_number":"pith:63ZXETR2","canonical_record":{"source":{"id":"1301.1751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-01-09T04:34:03Z","cross_cats_sorted":["cs.DB"],"title_canon_sha256":"9b133c235d2b9730ad90efc911b5a39f9a8704862faefa008e9921b617c8b0cb","abstract_canon_sha256":"d1d34ffe007ce46bbd6abf7f1dc6fbd94d592b499fb0d2313f8a720b14e25b11"},"schema_version":"1.0"},"canonical_sha256":"f6f3724e3a10f8bf6226fc52713a07e0bc60921ece140b67a99e08b2100721c4","source":{"kind":"arxiv","id":"1301.1751","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1751","created_at":"2026-05-18T03:36:55Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1751v1","created_at":"2026-05-18T03:36:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1751","created_at":"2026-05-18T03:36:55Z"},{"alias_kind":"pith_short_12","alias_value":"63ZXETR2CD4L","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"63ZXETR2CD4L6YRG","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"63ZXETR2","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:63ZXETR2CD4L6YRG7RJHCOQH4C","target":"record","payload":{"canonical_record":{"source":{"id":"1301.1751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-01-09T04:34:03Z","cross_cats_sorted":["cs.DB"],"title_canon_sha256":"9b133c235d2b9730ad90efc911b5a39f9a8704862faefa008e9921b617c8b0cb","abstract_canon_sha256":"d1d34ffe007ce46bbd6abf7f1dc6fbd94d592b499fb0d2313f8a720b14e25b11"},"schema_version":"1.0"},"canonical_sha256":"f6f3724e3a10f8bf6226fc52713a07e0bc60921ece140b67a99e08b2100721c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:55.995809Z","signature_b64":"vArBwpJRGd0tGApRaviObJGp4i56F0dEMXM4qo9ac+nAEwogHk4ZvdUXebA36A+aQ7NuNxwTuOCjtnNABHppDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6f3724e3a10f8bf6226fc52713a07e0bc60921ece140b67a99e08b2100721c4","last_reissued_at":"2026-05-18T03:36:55.995214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:55.995214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.1751","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:36:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HDw8DMOyHSPi4JHe90LhCzheAi2+L0B/zzd6DskEvd+ychGbGyX8XjlTCn9HZRPfJ4ORQzE6Y1Pwq4GrvgyRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:30:20.192263Z"},"content_sha256":"1aaf032b37e9825b7c50fe0134d1078cc51df8116922751b838ed17583a48baf","schema_version":"1.0","event_id":"sha256:1aaf032b37e9825b7c50fe0134d1078cc51df8116922751b838ed17583a48baf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:63ZXETR2CD4L6YRG7RJHCOQH4C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Complexity of $t$-Closeness Anonymization and Related Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DB"],"primary_cat":"cs.DS","authors_text":"Hao Yuan, Hongyu Liang","submitted_at":"2013-01-09T04:34:03Z","abstract_excerpt":"An important issue in releasing individual data is to protect the sensitive information from being leaked and maliciously utilized. Famous privacy preserving principles that aim to ensure both data privacy and data integrity, such as $k$-anonymity and $l$-diversity, have been extensively studied both theoretically and empirically. Nonetheless, these widely-adopted principles are still insufficient to prevent attribute disclosure if the attacker has partial knowledge about the overall sensitive data distribution. The $t$-closeness principle has been proposed to fix this, which also has the bene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1751","kind":"arxiv","version":1},"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":"2026-05-18T03:36:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zT7E8rEw5fj6Fn31ZwkUca9lwmjP+XBRf/2K+ziAUPIiFnYK7tBdHBb2A6KJT2xiiAn4OPkKWJEIaob76VHTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:30:20.192612Z"},"content_sha256":"3b68629300d986222612ab308490f87f16460ee294141c0a68db7699602a0b8b","schema_version":"1.0","event_id":"sha256:3b68629300d986222612ab308490f87f16460ee294141c0a68db7699602a0b8b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/63ZXETR2CD4L6YRG7RJHCOQH4C/bundle.json","state_url":"https://pith.science/pith/63ZXETR2CD4L6YRG7RJHCOQH4C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/63ZXETR2CD4L6YRG7RJHCOQH4C/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":"2026-06-29T09:30:20Z","links":{"resolver":"https://pith.science/pith/63ZXETR2CD4L6YRG7RJHCOQH4C","bundle":"https://pith.science/pith/63ZXETR2CD4L6YRG7RJHCOQH4C/bundle.json","state":"https://pith.science/pith/63ZXETR2CD4L6YRG7RJHCOQH4C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/63ZXETR2CD4L6YRG7RJHCOQH4C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:63ZXETR2CD4L6YRG7RJHCOQH4C","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":"d1d34ffe007ce46bbd6abf7f1dc6fbd94d592b499fb0d2313f8a720b14e25b11","cross_cats_sorted":["cs.DB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-01-09T04:34:03Z","title_canon_sha256":"9b133c235d2b9730ad90efc911b5a39f9a8704862faefa008e9921b617c8b0cb"},"schema_version":"1.0","source":{"id":"1301.1751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1751","created_at":"2026-05-18T03:36:55Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1751v1","created_at":"2026-05-18T03:36:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1751","created_at":"2026-05-18T03:36:55Z"},{"alias_kind":"pith_short_12","alias_value":"63ZXETR2CD4L","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"63ZXETR2CD4L6YRG","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"63ZXETR2","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:3b68629300d986222612ab308490f87f16460ee294141c0a68db7699602a0b8b","target":"graph","created_at":"2026-05-18T03:36:55Z","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":"An important issue in releasing individual data is to protect the sensitive information from being leaked and maliciously utilized. Famous privacy preserving principles that aim to ensure both data privacy and data integrity, such as $k$-anonymity and $l$-diversity, have been extensively studied both theoretically and empirically. Nonetheless, these widely-adopted principles are still insufficient to prevent attribute disclosure if the attacker has partial knowledge about the overall sensitive data distribution. The $t$-closeness principle has been proposed to fix this, which also has the bene","authors_text":"Hao Yuan, Hongyu Liang","cross_cats":["cs.DB"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-01-09T04:34:03Z","title":"On the Complexity of $t$-Closeness Anonymization and Related Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1751","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":"sha256:1aaf032b37e9825b7c50fe0134d1078cc51df8116922751b838ed17583a48baf","target":"record","created_at":"2026-05-18T03:36:55Z","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":"d1d34ffe007ce46bbd6abf7f1dc6fbd94d592b499fb0d2313f8a720b14e25b11","cross_cats_sorted":["cs.DB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-01-09T04:34:03Z","title_canon_sha256":"9b133c235d2b9730ad90efc911b5a39f9a8704862faefa008e9921b617c8b0cb"},"schema_version":"1.0","source":{"id":"1301.1751","kind":"arxiv","version":1}},"canonical_sha256":"f6f3724e3a10f8bf6226fc52713a07e0bc60921ece140b67a99e08b2100721c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6f3724e3a10f8bf6226fc52713a07e0bc60921ece140b67a99e08b2100721c4","first_computed_at":"2026-05-18T03:36:55.995214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:55.995214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vArBwpJRGd0tGApRaviObJGp4i56F0dEMXM4qo9ac+nAEwogHk4ZvdUXebA36A+aQ7NuNxwTuOCjtnNABHppDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:55.995809Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1aaf032b37e9825b7c50fe0134d1078cc51df8116922751b838ed17583a48baf","sha256:3b68629300d986222612ab308490f87f16460ee294141c0a68db7699602a0b8b"],"state_sha256":"d5cffaf4a345a46f9b5e23675dc018f36e319cabe01c76949d629f5c7cf9a6ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OImRhub5N98RChDxl6nIXxseWOYmu9ed8FjLeA86IfLPoNfwESBFbljW5vHTXuUkMKk8KB/gUQr1pt/igfHmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T09:30:20.194487Z","bundle_sha256":"7ac24ac8e0ecd22b025e79200ec382bfe10be7b13baf617785a810f60f305d18"}}