{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:YPXPF3H6BG5BFB2CUO3SOL42AQ","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":"134adc40341052fa1086299aeec88bf2d65dc00d2a4e055d37c45f0a322ff0b9","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.ST","submitted_at":"2020-03-21T02:59:50Z","title_canon_sha256":"a9651b1c9256814d15b80594d19b9bfebacc46f3a1fa12a6f8895d3c27c5f7b4"},"schema_version":"1.0","source":{"id":"2003.11373","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.11373","created_at":"2026-07-05T00:50:33Z"},{"alias_kind":"arxiv_version","alias_value":"2003.11373v1","created_at":"2026-07-05T00:50:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.11373","created_at":"2026-07-05T00:50:33Z"},{"alias_kind":"pith_short_12","alias_value":"YPXPF3H6BG5B","created_at":"2026-07-05T00:50:33Z"},{"alias_kind":"pith_short_16","alias_value":"YPXPF3H6BG5BFB2C","created_at":"2026-07-05T00:50:33Z"},{"alias_kind":"pith_short_8","alias_value":"YPXPF3H6","created_at":"2026-07-05T00:50:33Z"}],"graph_snapshots":[{"event_id":"sha256:0c9d175b683464a8ed03d3724bbf0bfbf496ea9caf041c765b119836fa38896a","target":"graph","created_at":"2026-07-05T00:50:33Z","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/2003.11373/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The $p_0$ model is an exponential random graph model for directed networks with the bi-degree sequence as the exclusively sufficient statistic. It captures the network feature of degree heterogeneity. The consistency and asymptotic normality of a differentially private estimator of the parameter in the private $p_0$ model has been established. However, the $p_0$ model only focuses on binary edges. In many realistic networks, edges could be weighted, taking a set of finite discrete values. In this paper, we further show that the moment estimators of the parameters based on the differentially pr","authors_text":"Jing Luo, Qian Wang, Qiuping Wang, Xiao Zhang, Yang Ouyang","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.ST","submitted_at":"2020-03-21T02:59:50Z","title":"Weighted directed networks with a differentially private bi-degree sequence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.11373","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":"sha256:69e60ab1c455a865c40cde937b9b4283e1e5ad88faf4b16d3401865243f93355","target":"record","created_at":"2026-07-05T00:50:33Z","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":"134adc40341052fa1086299aeec88bf2d65dc00d2a4e055d37c45f0a322ff0b9","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.ST","submitted_at":"2020-03-21T02:59:50Z","title_canon_sha256":"a9651b1c9256814d15b80594d19b9bfebacc46f3a1fa12a6f8895d3c27c5f7b4"},"schema_version":"1.0","source":{"id":"2003.11373","kind":"arxiv","version":1}},"canonical_sha256":"c3eef2ecfe09ba128742a3b7272f9a0418e7cc2141cf2f5d0c3f2cd5ed81713c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3eef2ecfe09ba128742a3b7272f9a0418e7cc2141cf2f5d0c3f2cd5ed81713c","first_computed_at":"2026-07-05T00:50:33.739852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:50:33.739852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D4FwjU+XPbSM1WNjmGQuiXUKHpOxxdbqsITQaM1+nUzxSa/7CFISuR+joTg8V0Arg4cg98hKZAK+3UlK7rgrBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:50:33.740269Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.11373","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69e60ab1c455a865c40cde937b9b4283e1e5ad88faf4b16d3401865243f93355","sha256:0c9d175b683464a8ed03d3724bbf0bfbf496ea9caf041c765b119836fa38896a"],"state_sha256":"7d8a18294f628c3099994758b56468ef663b5c9fa8cf8247a3b2f9a9b075a6eb"}