{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:C2RHHISUMUT3B4OBUOIA3ASAN4","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":"78213d416dba71aea703f4e41e23b3b2994b0e66dd7fb48692ef00f8def6a123","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2013-03-08T16:22:46Z","title_canon_sha256":"765ebe004e78ae4090aaf3df77b4dc821d3c8347511045b2ea2b57430467c142"},"schema_version":"1.0","source":{"id":"1303.2043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2043","created_at":"2026-05-18T03:31:31Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2043v1","created_at":"2026-05-18T03:31:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2043","created_at":"2026-05-18T03:31:31Z"},{"alias_kind":"pith_short_12","alias_value":"C2RHHISUMUT3","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C2RHHISUMUT3B4OB","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C2RHHISU","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:bc6efb371c3a4b58a327b53e87f54b2d4ba6d7a0ec3d9eb2e802fa65bd37e3ad","target":"graph","created_at":"2026-05-18T03:31:31Z","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":"In this article, we establish orientation and connectivity based criteria for the agreement algorithm to achieve asymptotic consensus in the context of time-varying topology and communication delays. These criteria unify and extend many earlier convergence results on the agreement algorithm for deterministic and discrete-time multiagent systems.","authors_text":"Bernadette Charron-Bost","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2013-03-08T16:22:46Z","title":"Orientation and Connectivity Based Criteria for Asymptotic Consensus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2043","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":"sha256:3bbd7597316fe500f7757dd0c254796b265b58c51f91851e77cbbef278c8e205","target":"record","created_at":"2026-05-18T03:31:31Z","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":"78213d416dba71aea703f4e41e23b3b2994b0e66dd7fb48692ef00f8def6a123","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2013-03-08T16:22:46Z","title_canon_sha256":"765ebe004e78ae4090aaf3df77b4dc821d3c8347511045b2ea2b57430467c142"},"schema_version":"1.0","source":{"id":"1303.2043","kind":"arxiv","version":1}},"canonical_sha256":"16a273a2546527b0f1c1a3900d82406f1e5d4ec14353bf8ec7c7e4bc5421be09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16a273a2546527b0f1c1a3900d82406f1e5d4ec14353bf8ec7c7e4bc5421be09","first_computed_at":"2026-05-18T03:31:31.560774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:31.560774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jASSOpCXzpaiqXaMC6zqlfq5aN3oU19bQsgc4J6Gbxsmtg0NPjX7UwYDOecdW1xjf8qqbf8/IyPADPzT9uiUBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:31.561511Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bbd7597316fe500f7757dd0c254796b265b58c51f91851e77cbbef278c8e205","sha256:bc6efb371c3a4b58a327b53e87f54b2d4ba6d7a0ec3d9eb2e802fa65bd37e3ad"],"state_sha256":"4e437a46e0bba59ebf710223dee3ba00191666f24a4c7248264edc6f250147f9"}