{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PL3VDPG365AYMA43YKWEGLIBS2","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":"41288ef454300bc9ef3fec0830a6801b43daffe8572d835c50d2d6afdefb81c4","cross_cats_sorted":["cs.DC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2026-08-08T19:10:37Z","title_canon_sha256":"0067a7bac7a6649e4fdae5cc06ba31b6bb4eca4aeceddddda7286337b1bceadc"},"schema_version":"1.0","source":{"id":"2608.08296","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.08296","created_at":"2026-08-11T01:22:15Z"},{"alias_kind":"arxiv_version","alias_value":"2608.08296v1","created_at":"2026-08-11T01:22:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.08296","created_at":"2026-08-11T01:22:15Z"},{"alias_kind":"pith_short_12","alias_value":"PL3VDPG365AY","created_at":"2026-08-11T01:22:15Z"},{"alias_kind":"pith_short_16","alias_value":"PL3VDPG365AYMA43","created_at":"2026-08-11T01:22:15Z"},{"alias_kind":"pith_short_8","alias_value":"PL3VDPG3","created_at":"2026-08-11T01:22:15Z"}],"graph_snapshots":[{"event_id":"sha256:4446d59d8f78fc889e4827124dc785993c719d5ddd649855fbd8bef6748cec8e","target":"graph","created_at":"2026-08-11T01:22:15Z","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/2608.08296/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give deterministic parallel algorithms that compute a $(\\Delta+1)$-coloring and a maximal independent set for a simple graph with $n$ vertices and $m$ edges in $O(n+m)$ work and $O(\\mathrm{poly}\\log n)$ depth.","authors_text":"Adam Melrod, Chase Hutton","cross_cats":["cs.DC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2026-08-08T19:10:37Z","title":"Truly Work-efficient Parallel Deterministic $(\\Delta+1)$-coloring and Maximal Independent Set"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.08296","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:abc934e80641b71dec09bcef16bddae24855d577491336806f651d5160b78671","target":"record","created_at":"2026-08-11T01:22:15Z","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":"41288ef454300bc9ef3fec0830a6801b43daffe8572d835c50d2d6afdefb81c4","cross_cats_sorted":["cs.DC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2026-08-08T19:10:37Z","title_canon_sha256":"0067a7bac7a6649e4fdae5cc06ba31b6bb4eca4aeceddddda7286337b1bceadc"},"schema_version":"1.0","source":{"id":"2608.08296","kind":"arxiv","version":1}},"canonical_sha256":"7af751bcdbf74186039bc2ac432d0196879e70b601ae496b8e56310decaae2a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7af751bcdbf74186039bc2ac432d0196879e70b601ae496b8e56310decaae2a9","first_computed_at":"2026-08-11T01:22:15.051035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T01:22:15.051035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yE3rYZr43wTdqwm97Xl2AYUWHIDfgoFa8EawxeUkvTXgCdBbEYrPBI8qcu1SJulnzwTwZ7nYjUSPsw60EgIpCQ==","signature_status":"signed_v1","signed_at":"2026-08-11T01:22:15.053673Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.08296","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:abc934e80641b71dec09bcef16bddae24855d577491336806f651d5160b78671","sha256:4446d59d8f78fc889e4827124dc785993c719d5ddd649855fbd8bef6748cec8e"],"state_sha256":"4fc4598efaab392d11c85782d4372cbebcdf0d613358bb80fb8625cad47df6be"}