{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JWRIPGCA6SYKYQCOAZ5J73K4XJ","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":"cb77ec37e5ab956bb22bd3e01f48790ceb749c7f40a2a247faf0daa135c03545","cross_cats_sorted":["cs.DS","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-05-14T14:40:15Z","title_canon_sha256":"6368535289b53b53d05f615fd1ab8d42295a0e898fc4fbf57fcd948b7977359a"},"schema_version":"1.0","source":{"id":"1505.03737","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.03737","created_at":"2026-05-18T02:09:53Z"},{"alias_kind":"arxiv_version","alias_value":"1505.03737v1","created_at":"2026-05-18T02:09:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03737","created_at":"2026-05-18T02:09:53Z"},{"alias_kind":"pith_short_12","alias_value":"JWRIPGCA6SYK","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JWRIPGCA6SYKYQCO","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JWRIPGCA","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:18dedb3ce084eceeca728794873c9240d7ab20b020087040bf8df2ecd51a56f8","target":"graph","created_at":"2026-05-18T02:09:53Z","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 give an algorithm that, for every fixed k, decides isomorphism of graphs of rank width at most k in polynomial time. As the clique width of a graph is bounded in terms of its rank width, we also obtain a polynomial time isomorphism test for graph classes of bounded clique width.","authors_text":"Martin Grohe, Pascal Schweitzer","cross_cats":["cs.DS","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-05-14T14:40:15Z","title":"Isomorphism Testing for Graphs of Bounded Rank Width"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03737","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":"sha256:178e67225b4e873523cb4b6691290bdf66550964d22e93c67a05bbb93ca87fc1","target":"record","created_at":"2026-05-18T02:09:53Z","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":"cb77ec37e5ab956bb22bd3e01f48790ceb749c7f40a2a247faf0daa135c03545","cross_cats_sorted":["cs.DS","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-05-14T14:40:15Z","title_canon_sha256":"6368535289b53b53d05f615fd1ab8d42295a0e898fc4fbf57fcd948b7977359a"},"schema_version":"1.0","source":{"id":"1505.03737","kind":"arxiv","version":1}},"canonical_sha256":"4da2879840f4b0ac404e067a9fed5cba75c353b5154d7171e840ed522693e1eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4da2879840f4b0ac404e067a9fed5cba75c353b5154d7171e840ed522693e1eb","first_computed_at":"2026-05-18T02:09:53.171710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:53.171710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CphirADS1AjbxejvmVxB4+3/eaitmmQIOfBOUZltYhuKb4uLIO2FGb5QHf0BGwgE11IA1XxxgKLfNuvsrUzyBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:53.172449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.03737","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:178e67225b4e873523cb4b6691290bdf66550964d22e93c67a05bbb93ca87fc1","sha256:18dedb3ce084eceeca728794873c9240d7ab20b020087040bf8df2ecd51a56f8"],"state_sha256":"df028f232ca0f185de4d5811701fb24a53caa34e815cbc323e665b6245d43da3"}