{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VGAPTKWLXJ54I3MYYDK5CU2HN4","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":"0b5a3e4bd87f3a27da05e60296179c83cb0394036a23a7c51fae4fd6de93900d","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-09-23T22:13:27Z","title_canon_sha256":"0044399907953a107985cab9e3b882369d4f489a36636310674029bcf0f1ee9e"},"schema_version":"1.0","source":{"id":"1709.08122","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08122","created_at":"2026-05-18T00:25:39Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08122v2","created_at":"2026-05-18T00:25:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08122","created_at":"2026-05-18T00:25:39Z"},{"alias_kind":"pith_short_12","alias_value":"VGAPTKWLXJ54","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VGAPTKWLXJ54I3MY","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VGAPTKWL","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:5feb4ab4def3c19df0046a1ddcc5a774ca6c2786e1e7a7318088e5128b23d7ac","target":"graph","created_at":"2026-05-18T00:25:39Z","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 present a linear time algorithm for computing a cycle separator in a planar graph that is (arguably) simpler than previously known algorithms. Our algorithm builds on, and is somewhat similar to, previous algorithms for computing separators. The main new ingredient is a specific layered decomposition of the planar graph constructed differently from previous BFS-based layerings.","authors_text":"Amir Nayyeri, Sariel Har-Peled","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-09-23T22:13:27Z","title":"A Simple Algorithm for Computing a Cycle Separator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08122","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:f5b2ac83b54806855c752a0f5c46fd28e2352918d9227e40e7558b0da49de3cd","target":"record","created_at":"2026-05-18T00:25:39Z","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":"0b5a3e4bd87f3a27da05e60296179c83cb0394036a23a7c51fae4fd6de93900d","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-09-23T22:13:27Z","title_canon_sha256":"0044399907953a107985cab9e3b882369d4f489a36636310674029bcf0f1ee9e"},"schema_version":"1.0","source":{"id":"1709.08122","kind":"arxiv","version":2}},"canonical_sha256":"a980f9aacbba7bc46d98c0d5d153476f21dc65e39e693e97fe48a1c07066ac41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a980f9aacbba7bc46d98c0d5d153476f21dc65e39e693e97fe48a1c07066ac41","first_computed_at":"2026-05-18T00:25:39.133379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:39.133379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BS107Cv9v3zj792D/UIQxnUZkMsTJY+VXWDorxP340Lx5HImietcYzQoa7R9zT8f19CN6k3bgEDeTk95IgXfDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:39.133943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.08122","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5b2ac83b54806855c752a0f5c46fd28e2352918d9227e40e7558b0da49de3cd","sha256:5feb4ab4def3c19df0046a1ddcc5a774ca6c2786e1e7a7318088e5128b23d7ac"],"state_sha256":"6743e44bea1ec99934fa6a115abde0f76029674c0f5d0cb9ec0031b0562e4e81"}