{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SMZODKXV4PP4CATQV7XQCZPPVX","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":"05b32a2255f74030805eb0bb5121e3865d00e09ae1d79d31625aa957ea35155a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-04-03T10:00:45Z","title_canon_sha256":"62817da4777a53f18ac6007d68e731ef12a46e5d601ebbc9fd54cc8a4a3cdb33"},"schema_version":"1.0","source":{"id":"1204.0641","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0641","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0641v5","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0641","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"SMZODKXV4PP4","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SMZODKXV4PP4CATQ","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SMZODKXV","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:92721527e0a2b5535d43413f791c05b8046709994b0ae004b67ed596dde8fd90","target":"graph","created_at":"2026-05-18T02:21:16Z","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":"We study distributed computation in synchronous dynamic networks where an omniscient adversary controls the unidirectional communication links. Its behavior is modeled as a sequence of directed graphs representing the active (i.e. timely) communication links per round. We prove that consensus is impossible under some natural weak connectivity assumptions, and introduce vertex-stable root components as a means for circumventing this impossibility. Essentially, we assume that there is a short period of time during which an arbitrary part of the network remains strongly connected, while its inter","authors_text":"Martin Biely, Peter Robinson, Ulrich Schmid","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-04-03T10:00:45Z","title":"Agreement in Directed Dynamic Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0641","kind":"arxiv","version":5},"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":"sha256:1f56d63ebfd8120a014084377381bf7a1b03af5f80ffbc11ca7b971b36c68774","target":"record","created_at":"2026-05-18T02:21:16Z","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":"05b32a2255f74030805eb0bb5121e3865d00e09ae1d79d31625aa957ea35155a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-04-03T10:00:45Z","title_canon_sha256":"62817da4777a53f18ac6007d68e731ef12a46e5d601ebbc9fd54cc8a4a3cdb33"},"schema_version":"1.0","source":{"id":"1204.0641","kind":"arxiv","version":5}},"canonical_sha256":"9332e1aaf5e3dfc10270afef0165efadf57ad41c8fd26ec2b764d584f1d3f02b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9332e1aaf5e3dfc10270afef0165efadf57ad41c8fd26ec2b764d584f1d3f02b","first_computed_at":"2026-05-18T02:21:16.599583Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:16.599583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f9lWQxZbcopyN+nVzZr8Xh+5QRtfR0Y88qOs0UpQuBdiMc3Eof7gr3pc9LZwUDtHKyYTpMxg0vYiIZs+BP4PBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:16.600030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0641","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f56d63ebfd8120a014084377381bf7a1b03af5f80ffbc11ca7b971b36c68774","sha256:92721527e0a2b5535d43413f791c05b8046709994b0ae004b67ed596dde8fd90"],"state_sha256":"d6d3ba11c8afca3d0725944a801874047af318b0f12cadcde8faf9d776e2a58f"}