{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:OF7JAGNQW6755HLDRJ2WL3D4VU","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":"0156511d3c5337149705bf3f0eebcd18565da6d628ed9b7197d887924c3d6344","cross_cats_sorted":["cs.CC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2021-09-04T14:12:24Z","title_canon_sha256":"a6249897b94283b2123b79c2e95fb135d37631433d823d0693ae1892d0e95e2e"},"schema_version":"1.0","source":{"id":"2109.01875","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.01875","created_at":"2026-07-05T03:12:17Z"},{"alias_kind":"arxiv_version","alias_value":"2109.01875v2","created_at":"2026-07-05T03:12:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.01875","created_at":"2026-07-05T03:12:17Z"},{"alias_kind":"pith_short_12","alias_value":"OF7JAGNQW675","created_at":"2026-07-05T03:12:17Z"},{"alias_kind":"pith_short_16","alias_value":"OF7JAGNQW6755HLD","created_at":"2026-07-05T03:12:17Z"},{"alias_kind":"pith_short_8","alias_value":"OF7JAGNQ","created_at":"2026-07-05T03:12:17Z"}],"graph_snapshots":[{"event_id":"sha256:ac4f699d43cb5c6d9633d766ccab5336fb3df865ca4e2abe19b96da78a5654c8","target":"graph","created_at":"2026-07-05T03:12:17Z","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/2109.01875/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Reachability, distance, and matching are some of the most fundamental graph problems that have been of particular interest in dynamic complexity theory in recent years [DKMSZ18, DMVZ18, DKMTVZ20]. Reachability can be maintained with first-order update formulas, or equivalently in DynFO in general graphs with n nodes [DKMSZ18], even under O(log n/loglog n) changes per step [DMVZ18]. In the context of how large the number of changes can be handled, it has recently been shown [DKMTVZ20] that under a polylogarithmic number of changes, reachability is in DynFOpar in planar, bounded treewidth, and r","authors_text":"Anish Mukherjee, Chetan Gupta, Raghunath Tewari, Rahul Jain, Samir Datta, Vimal Raj Sharma","cross_cats":["cs.CC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2021-09-04T14:12:24Z","title":"Dynamic Meta-theorems for Distance and Matching"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.01875","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:e9b93f410a7b03aef95a15fb47a363570c5684493e57dbacc9a56a865671a47f","target":"record","created_at":"2026-07-05T03:12:17Z","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":"0156511d3c5337149705bf3f0eebcd18565da6d628ed9b7197d887924c3d6344","cross_cats_sorted":["cs.CC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2021-09-04T14:12:24Z","title_canon_sha256":"a6249897b94283b2123b79c2e95fb135d37631433d823d0693ae1892d0e95e2e"},"schema_version":"1.0","source":{"id":"2109.01875","kind":"arxiv","version":2}},"canonical_sha256":"717e9019b0b7bfde9d638a7565ec7cad32643102a84b2e9c0dac143c20099121","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"717e9019b0b7bfde9d638a7565ec7cad32643102a84b2e9c0dac143c20099121","first_computed_at":"2026-07-05T03:12:17.221494Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:12:17.221494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r2Q57WifF2dwOaGlDWyRKJJyOvh/tUJ2KvOgC1oDXHQi20n4VlyDDhZbT9JL90R0dv9RHm4EPUdSUd4FfXY9AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:12:17.221918Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.01875","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9b93f410a7b03aef95a15fb47a363570c5684493e57dbacc9a56a865671a47f","sha256:ac4f699d43cb5c6d9633d766ccab5336fb3df865ca4e2abe19b96da78a5654c8"],"state_sha256":"64172dbbbd329040f77e886fdfa2f8aeedbeb5dff2fedbeda161971797df45eb"}