{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:2KCAUBRDNZIM46OR3IK6GGF577","short_pith_number":"pith:2KCAUBRD","canonical_record":{"source":{"id":"2312.04903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-12-08T08:36:18Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7cb41ae6037dce6299c00a844dc6db1a4028f164b4d29dfc4927b710033a1cef","abstract_canon_sha256":"b81c768d4e746e61183ae49d68063cd6984d3af93888c80612a7171e010dfcf3"},"schema_version":"1.0"},"canonical_sha256":"d2840a06236e50ce79d1da15e318bdffc59ef60d39772da9a735f733e97c5c10","source":{"kind":"arxiv","id":"2312.04903","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.04903","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"2312.04903v2","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.04903","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"2KCAUBRDNZIM","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"pith_short_16","alias_value":"2KCAUBRDNZIM46OR","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"pith_short_8","alias_value":"2KCAUBRD","created_at":"2026-06-09T01:05:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:2KCAUBRDNZIM46OR3IK6GGF577","target":"record","payload":{"canonical_record":{"source":{"id":"2312.04903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-12-08T08:36:18Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7cb41ae6037dce6299c00a844dc6db1a4028f164b4d29dfc4927b710033a1cef","abstract_canon_sha256":"b81c768d4e746e61183ae49d68063cd6984d3af93888c80612a7171e010dfcf3"},"schema_version":"1.0"},"canonical_sha256":"d2840a06236e50ce79d1da15e318bdffc59ef60d39772da9a735f733e97c5c10","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T01:05:03.081981Z","signature_b64":"Wton6nn4AdPbRihyTpSOMwAm/eWhGvOLLkhcZGJf7Gh0McmJk0q/AGuBLvu/3UFb0zrXK6pUvD5W+1tq82mqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2840a06236e50ce79d1da15e318bdffc59ef60d39772da9a735f733e97c5c10","last_reissued_at":"2026-06-09T01:05:03.081256Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T01:05:03.081256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.04903","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":"2026-06-09T01:05:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P4v007zDCb/X5oc5lqMUG5mi+2Oy8VbdT/8UD2chUPokjwNbgUNg5f7r/w5XIYcIUUEB836UuGO4ezFEj/cGDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:05:41.152045Z"},"content_sha256":"a69a37b2bfdbada4e15b59fa256f2fdef6b19357a4294119ba95c04f3f1f0d2e","schema_version":"1.0","event_id":"sha256:a69a37b2bfdbada4e15b59fa256f2fdef6b19357a4294119ba95c04f3f1f0d2e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:2KCAUBRDNZIM46OR3IK6GGF577","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differential privacy statistical inference for a directed graph network model with covariates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Hong Qin, Jing Luo, Zhimeng Xu","submitted_at":"2023-12-08T08:36:18Z","abstract_excerpt":"Network data typically contain sensitive relational information, where direct release or sharing may lead to non-negligible privacy violations without proper statistical safeguards. While differential privacy has emerged as a powerful framework for privacy-preserving network data analysis, theoretical understanding remains limited particularly for models incorporating both network structure and nodal attributes. This paper bridges this gap by investigating a directed $\\beta$-model with covariates under differential privacy constraints. Our model accounts for both node-level heterogeneity (via "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.04903","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.04903/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-09T01:05:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ytShkCPdV47MMrGLCQqmsXvXO6hkN3EQQSHhEXXECdru9USaZRddtXZHufE6j7CrPfNJq31U3YinUdsXfFTOBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:05:41.152754Z"},"content_sha256":"c12689a254baadb50eee95053f4c683259fd20197d9194a2c91fc98bb8f46d83","schema_version":"1.0","event_id":"sha256:c12689a254baadb50eee95053f4c683259fd20197d9194a2c91fc98bb8f46d83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2KCAUBRDNZIM46OR3IK6GGF577/bundle.json","state_url":"https://pith.science/pith/2KCAUBRDNZIM46OR3IK6GGF577/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2KCAUBRDNZIM46OR3IK6GGF577/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":"2026-06-11T23:05:41Z","links":{"resolver":"https://pith.science/pith/2KCAUBRDNZIM46OR3IK6GGF577","bundle":"https://pith.science/pith/2KCAUBRDNZIM46OR3IK6GGF577/bundle.json","state":"https://pith.science/pith/2KCAUBRDNZIM46OR3IK6GGF577/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2KCAUBRDNZIM46OR3IK6GGF577/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2KCAUBRDNZIM46OR3IK6GGF577","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":"b81c768d4e746e61183ae49d68063cd6984d3af93888c80612a7171e010dfcf3","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-12-08T08:36:18Z","title_canon_sha256":"7cb41ae6037dce6299c00a844dc6db1a4028f164b4d29dfc4927b710033a1cef"},"schema_version":"1.0","source":{"id":"2312.04903","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.04903","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"2312.04903v2","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.04903","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"2KCAUBRDNZIM","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"pith_short_16","alias_value":"2KCAUBRDNZIM46OR","created_at":"2026-06-09T01:05:03Z"},{"alias_kind":"pith_short_8","alias_value":"2KCAUBRD","created_at":"2026-06-09T01:05:03Z"}],"graph_snapshots":[{"event_id":"sha256:c12689a254baadb50eee95053f4c683259fd20197d9194a2c91fc98bb8f46d83","target":"graph","created_at":"2026-06-09T01:05:03Z","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/2312.04903/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Network data typically contain sensitive relational information, where direct release or sharing may lead to non-negligible privacy violations without proper statistical safeguards. While differential privacy has emerged as a powerful framework for privacy-preserving network data analysis, theoretical understanding remains limited particularly for models incorporating both network structure and nodal attributes. This paper bridges this gap by investigating a directed $\\beta$-model with covariates under differential privacy constraints. Our model accounts for both node-level heterogeneity (via ","authors_text":"Hong Qin, Jing Luo, Zhimeng Xu","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-12-08T08:36:18Z","title":"Differential privacy statistical inference for a directed graph network model with covariates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.04903","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:a69a37b2bfdbada4e15b59fa256f2fdef6b19357a4294119ba95c04f3f1f0d2e","target":"record","created_at":"2026-06-09T01:05:03Z","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":"b81c768d4e746e61183ae49d68063cd6984d3af93888c80612a7171e010dfcf3","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-12-08T08:36:18Z","title_canon_sha256":"7cb41ae6037dce6299c00a844dc6db1a4028f164b4d29dfc4927b710033a1cef"},"schema_version":"1.0","source":{"id":"2312.04903","kind":"arxiv","version":2}},"canonical_sha256":"d2840a06236e50ce79d1da15e318bdffc59ef60d39772da9a735f733e97c5c10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2840a06236e50ce79d1da15e318bdffc59ef60d39772da9a735f733e97c5c10","first_computed_at":"2026-06-09T01:05:03.081256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:05:03.081256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wton6nn4AdPbRihyTpSOMwAm/eWhGvOLLkhcZGJf7Gh0McmJk0q/AGuBLvu/3UFb0zrXK6pUvD5W+1tq82mqBw==","signature_status":"signed_v1","signed_at":"2026-06-09T01:05:03.081981Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.04903","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a69a37b2bfdbada4e15b59fa256f2fdef6b19357a4294119ba95c04f3f1f0d2e","sha256:c12689a254baadb50eee95053f4c683259fd20197d9194a2c91fc98bb8f46d83"],"state_sha256":"48224723514e0a81efcaa23afccd9ed5951b10460dcc29d9f6c8fca014759803"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oX+TMQf0S/bsr7SJZ0tNFONcnJLft8jAdyxjDGqFCQOGqd/QqvDMpj12+sxaw2P8F5pcXu365Yo1QaH7iYWAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:05:41.156769Z","bundle_sha256":"25c6a006f26c194610a11eaa15031cecf2a2c5118cba23626a5b7d306e5d95cb"}}