{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:U5LPC2IUINVLX5XNGQC3MM3G7L","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":"2a2f17eef089d9e3ef1a8d5d83d0404366dca899744f0372cad3ef6db3ecfa37","cross_cats_sorted":["cs.DC","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2022-09-08T18:50:21Z","title_canon_sha256":"932a31e7cbba3ce474ad8b948cb97ec4884c6ead0602850e76178cfb4f93f6aa"},"schema_version":"1.0","source":{"id":"2209.03999","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.03999","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"arxiv_version","alias_value":"2209.03999v2","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.03999","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"pith_short_12","alias_value":"U5LPC2IUINVL","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"pith_short_16","alias_value":"U5LPC2IUINVLX5XN","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"pith_short_8","alias_value":"U5LPC2IU","created_at":"2026-06-11T01:10:22Z"}],"graph_snapshots":[{"event_id":"sha256:a26023f2ca3135b75f8390d84c77d3be15392847b9af09cd5d8e1b995e0c6f67","target":"graph","created_at":"2026-06-11T01:10:22Z","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/2209.03999/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce two models of consensus following a majority rule on time-evolving stochastic block models (SBM), in which the network evolution is Markovian or non-Markovian. Under the majority rule, in each round, each agent simultaneously updates their opinion according to the majority of their neighbors. Our network has a community structure and randomly evolves with time. In contrast to the classic setting, the dynamics is not purely deterministic, and reflects the structure of SBM by resampling the connections at each step, making agents with the same opinion more likely to connect than tho","authors_text":"Haoyu Wang, Jiaheng Wei, Zhenyuan Zhang","cross_cats":["cs.DC","cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2022-09-08T18:50:21Z","title":"Consensus on Dynamic Stochastic Block Models: Fast Convergence and Phase Transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.03999","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":"sha256:603345a90df8b019aab300bac34cb80514c4898354f0bd4e2019cf29f59e35dd","target":"record","created_at":"2026-06-11T01:10:22Z","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":"2a2f17eef089d9e3ef1a8d5d83d0404366dca899744f0372cad3ef6db3ecfa37","cross_cats_sorted":["cs.DC","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2022-09-08T18:50:21Z","title_canon_sha256":"932a31e7cbba3ce474ad8b948cb97ec4884c6ead0602850e76178cfb4f93f6aa"},"schema_version":"1.0","source":{"id":"2209.03999","kind":"arxiv","version":2}},"canonical_sha256":"a756f16914436abbf6ed3405b63366fafc4704d05df1c053c846934ba18e9d23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a756f16914436abbf6ed3405b63366fafc4704d05df1c053c846934ba18e9d23","first_computed_at":"2026-06-11T01:10:22.730175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T01:10:22.730175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k2qYeFYjEsdQAx6+UtSjojtv0sIzy8IDP/H9/IDnT49ljbW4JRCcs0nGzen/DEzisDJN9IitaU5z0MnA0eO9Dg==","signature_status":"signed_v1","signed_at":"2026-06-11T01:10:22.730942Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.03999","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:603345a90df8b019aab300bac34cb80514c4898354f0bd4e2019cf29f59e35dd","sha256:a26023f2ca3135b75f8390d84c77d3be15392847b9af09cd5d8e1b995e0c6f67"],"state_sha256":"fcd12dee6986fe040ebde9a426b2a6ca5d7caa6621a29fa10982c4334337b6fa"}