{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NVW52BLUH5A36XS3VYUPW5KTAP","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":"347320926b69c4ff1b46fd594fc50ac74e8456d7e66def15cb6d10fb53dd45c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-06-23T13:19:05Z","title_canon_sha256":"142b30d924451b3a702acb7e8421d6f07b708380013339bbff2a7f6e5c7ce401"},"schema_version":"1.0","source":{"id":"1906.09595","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09595","created_at":"2026-05-17T23:42:37Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09595v1","created_at":"2026-05-17T23:42:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09595","created_at":"2026-05-17T23:42:37Z"},{"alias_kind":"pith_short_12","alias_value":"NVW52BLUH5A3","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"NVW52BLUH5A36XS3","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"NVW52BLU","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:13ccf88c2251a9aeaf98281d6b80bde093a6aae046471e4f365d07ee68b47389","target":"graph","created_at":"2026-05-17T23:42:37Z","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":"Given a stream $\\mathcal{S}$ of insertions and deletions of edges of an underlying graph $G$ (with fixed vertex set $V$ where $n=|V|$ is the number of vertices of $G$), we propose a dynamic algorithm that maintains a maximal independent set (MIS) of $G$ (at any time $t$ of the stream $\\mathcal{S}$) with amortized update time $O(\\log^3 n)$.","authors_text":"Morteza Monemizadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-06-23T13:19:05Z","title":"Dynamic Maximal Independent Set"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09595","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:ade5b6db5088e7c27da90a261dcbf93c234364bcc164b9ab4ea684915408b3c6","target":"record","created_at":"2026-05-17T23:42:37Z","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":"347320926b69c4ff1b46fd594fc50ac74e8456d7e66def15cb6d10fb53dd45c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-06-23T13:19:05Z","title_canon_sha256":"142b30d924451b3a702acb7e8421d6f07b708380013339bbff2a7f6e5c7ce401"},"schema_version":"1.0","source":{"id":"1906.09595","kind":"arxiv","version":1}},"canonical_sha256":"6d6ddd05743f41bf5e5bae28fb755303e9f85d9cdbc98ab654fb07bab6660c03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d6ddd05743f41bf5e5bae28fb755303e9f85d9cdbc98ab654fb07bab6660c03","first_computed_at":"2026-05-17T23:42:37.444007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:37.444007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XjuNT5o9bueCQnRJCfn6cyf4DRpC/03uK0l9WvOKDqXbsH5YLGoZX1/bInVKv2L3WNDl5uEu5XinOj1mZ5VRCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:37.444734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09595","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ade5b6db5088e7c27da90a261dcbf93c234364bcc164b9ab4ea684915408b3c6","sha256:13ccf88c2251a9aeaf98281d6b80bde093a6aae046471e4f365d07ee68b47389"],"state_sha256":"79adce48f734285c5715dde6752fb95d6eda5ee5862d7fd5f340a9a01936bbca"}