{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:W6M7K567ZIV2Y55GJKIN76KYH4","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":"2f07a0bae18cb1534e8537c2d1a9270c86862819da30eb4c78eb5ad319537f7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-03-23T16:31:17Z","title_canon_sha256":"99b4c1f45722712a58ce9d501c4572eb55fdf326bd95f1a5ff45864769d6eab8"},"schema_version":"1.0","source":{"id":"1503.06714","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06714","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06714v1","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06714","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"pith_short_12","alias_value":"W6M7K567ZIV2","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W6M7K567ZIV2Y55G","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W6M7K567","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:e1d5bd7fa9f7d943001e8bfc4c7ff07c6604b4e39858e16bb30079fe44567794","target":"graph","created_at":"2026-05-18T01:08:21Z","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":"This paper considers the consensus problem for a network of nodes with random interactions and sampled-data control actions. We first show that consensus in expectation, in mean square, and almost surely are equivalent for a general random network model when the inter-sampling interval and network size satisfy a simple relation. The three types of consensus are shown to be simultaneously achieved over an independent or a Markovian random network defined on an underlying graph with a directed spanning tree. For both independent and Markovian random network models, necessary and sufficient condi","authors_text":"Guodong Shi, Junfeng Wu, Karl H. Johansson, Tao Yang, Ziyang Meng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-03-23T16:31:17Z","title":"Sampled-Data Consensus over Random Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06714","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":"sha256:971042b5b41a1a2a7e6bccab4412d1a7449a17652587946bdda65f88de7d0d8d","target":"record","created_at":"2026-05-18T01:08:21Z","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":"2f07a0bae18cb1534e8537c2d1a9270c86862819da30eb4c78eb5ad319537f7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-03-23T16:31:17Z","title_canon_sha256":"99b4c1f45722712a58ce9d501c4572eb55fdf326bd95f1a5ff45864769d6eab8"},"schema_version":"1.0","source":{"id":"1503.06714","kind":"arxiv","version":1}},"canonical_sha256":"b799f577dfca2bac77a64a90dff9583f1c0064c9e331bb774b84b4c161387ceb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b799f577dfca2bac77a64a90dff9583f1c0064c9e331bb774b84b4c161387ceb","first_computed_at":"2026-05-18T01:08:21.323406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:21.323406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vwpqrlUrhb25aNe0Nu8tHoORoM41psW1jNLt/9mA/jmXiaUzRq2k2ImONEY7kmdl+ggs6rGJqIGJvVcGXTFQCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:21.324052Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06714","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:971042b5b41a1a2a7e6bccab4412d1a7449a17652587946bdda65f88de7d0d8d","sha256:e1d5bd7fa9f7d943001e8bfc4c7ff07c6604b4e39858e16bb30079fe44567794"],"state_sha256":"4da2009f02f371e66a162d210a3d7b07f9454522f4c227f265e32f5e86cdd371"}