{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HG5AA5THPWFYQGEOS4HDD6TFV2","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":"94f176e1b04b97d56ef38d62a857da4a417a4d2ec4b2d91be21d136080c2f95b","cross_cats_sorted":["cs.DM","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-28T20:17:45Z","title_canon_sha256":"1c8dad4558b60566f9ca374b63d0f3b898a433eabc6e4d06c93ecba14314a427"},"schema_version":"1.0","source":{"id":"1707.09402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09402","created_at":"2026-05-18T00:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09402v1","created_at":"2026-05-18T00:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09402","created_at":"2026-05-18T00:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"HG5AA5THPWFY","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HG5AA5THPWFYQGEO","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HG5AA5TH","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:410f4a483ad41d3bb1b8c2add86a1f95cc92e213ad25fff574652d8bb3404bcf","target":"graph","created_at":"2026-05-18T00:39:11Z","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":"The NP-complete problem Feedback Vertex Set is that of deciding whether or not it is possible, for a given integer $k\\geq 0$, to delete at most $k$ vertices from a given graph so that what remains is a forest. The variant in which the deleted vertices must form an independent set is called Independent Feedback Vertex Set and is also NP-complete. In fact, even deciding if an independent feedback vertex set exists is NP-complete and this problem is closely related to the $3$-Colouring problem, or equivalently, to the problem of deciding whether or not a graph has an independent odd cycle transve","authors_text":"Carl Feghali, Daniel Paulusma, Konrad K. Dabrowski, Marthe Bonamy, Matthew Johnson","cross_cats":["cs.DM","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-28T20:17:45Z","title":"Independent Feedback Vertex Set for $P_5$-free Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09402","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:aa1180a706a92ac4bdbf8c37eb5068ae39f688b2c9b68eefd0584a61330cb105","target":"record","created_at":"2026-05-18T00:39:11Z","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":"94f176e1b04b97d56ef38d62a857da4a417a4d2ec4b2d91be21d136080c2f95b","cross_cats_sorted":["cs.DM","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-28T20:17:45Z","title_canon_sha256":"1c8dad4558b60566f9ca374b63d0f3b898a433eabc6e4d06c93ecba14314a427"},"schema_version":"1.0","source":{"id":"1707.09402","kind":"arxiv","version":1}},"canonical_sha256":"39ba0076677d8b88188e970e31fa65ae8f04abc6bfb3b2501a5dbe268e98fa31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39ba0076677d8b88188e970e31fa65ae8f04abc6bfb3b2501a5dbe268e98fa31","first_computed_at":"2026-05-18T00:39:11.427058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:11.427058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a2N4x880HkLcYOFdRPk11+cJhMPUU1kPeUEBmZ03aM+vF+OaJMjuzoXH1bswWX5NaGDFcqyfhoU0hDcbPQv7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:11.427602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.09402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa1180a706a92ac4bdbf8c37eb5068ae39f688b2c9b68eefd0584a61330cb105","sha256:410f4a483ad41d3bb1b8c2add86a1f95cc92e213ad25fff574652d8bb3404bcf"],"state_sha256":"2e577432c0bbba21d2e43d4dddc199f98bd9a641654b057bc2f4e264805ade0f"}