{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:ZMD7NWSBNJWQSBBVOQKEY7HYMQ","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":"a9eec2887f37af462aa8f49ceccd07dee5c50cdda9096400e9c0f268abbb41a8","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-07-27T02:11:27Z","title_canon_sha256":"29351e62530e02e858d6c0376f02acce430649949427e86c982647a5fa56fb57"},"schema_version":"1.0","source":{"id":"2207.13244","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.13244","created_at":"2026-07-05T06:28:13Z"},{"alias_kind":"arxiv_version","alias_value":"2207.13244v2","created_at":"2026-07-05T06:28:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.13244","created_at":"2026-07-05T06:28:13Z"},{"alias_kind":"pith_short_12","alias_value":"ZMD7NWSBNJWQ","created_at":"2026-07-05T06:28:13Z"},{"alias_kind":"pith_short_16","alias_value":"ZMD7NWSBNJWQSBBV","created_at":"2026-07-05T06:28:13Z"},{"alias_kind":"pith_short_8","alias_value":"ZMD7NWSB","created_at":"2026-07-05T06:28:13Z"}],"graph_snapshots":[{"event_id":"sha256:4638418f5a634111a8d19e850ca8b0054fc80782bad089165eba21736afd872d","target":"graph","created_at":"2026-07-05T06:28:13Z","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/2207.13244/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two vertex colorings of a graph are Kempe equivalent if they can be transformed into each other by a sequence of switchings of two colors of vertices. It is PSPACE-complete to determine whether two given vertex $k$-colorings of a graph are Kempe equivalent for any fixed $k\\geq 3$, and it is easy to see that every two vertex colorings of any bipartite graph are Kempe equivalent. In this paper, we consider Kempe equivalence of {\\it almost} bipartite graphs which can be obtained from a bipartite graph by adding several edges to connect two vertices in the same partite set. We give a conjecture of","authors_text":"Akihiro Higashitani, Naoki Matsumoto","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-07-27T02:11:27Z","title":"Kempe equivalence of almost bipartite graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.13244","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:dfc7f537498e11e0a49950d4f1fcd0439c290c3f28332b9c110b26a9651cc790","target":"record","created_at":"2026-07-05T06:28:13Z","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":"a9eec2887f37af462aa8f49ceccd07dee5c50cdda9096400e9c0f268abbb41a8","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-07-27T02:11:27Z","title_canon_sha256":"29351e62530e02e858d6c0376f02acce430649949427e86c982647a5fa56fb57"},"schema_version":"1.0","source":{"id":"2207.13244","kind":"arxiv","version":2}},"canonical_sha256":"cb07f6da416a6d09043574144c7cf8640f0389561fa4ddc386b7c6c194f0ccd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb07f6da416a6d09043574144c7cf8640f0389561fa4ddc386b7c6c194f0ccd6","first_computed_at":"2026-07-05T06:28:13.712273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:28:13.712273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K5mlexrGVTVvSik6KAwGrbVV2S1rupL5ushrqWTLJ4OCKHB9eFoBNLDy8EbI7i6yQRBiVE/d9iiPrkJi3JEUCA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:28:13.712846Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.13244","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfc7f537498e11e0a49950d4f1fcd0439c290c3f28332b9c110b26a9651cc790","sha256:4638418f5a634111a8d19e850ca8b0054fc80782bad089165eba21736afd872d"],"state_sha256":"227b55dd47424d5b895582ddf0528a78e300cad71170b4aa6c497429cef897a7"}