{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:RJQDW2IIJRTCU5KSHZNHBV75OE","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":"cd8faa449c91e24b26b4001d6e25646acfc20411a966922068bd41345994ee53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-11-30T04:24:09Z","title_canon_sha256":"8ba2139c8dab88d1a2daf58d7a26c7e43231c2fca611e259ec02d1dd40571942"},"schema_version":"1.0","source":{"id":"2211.16728","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.16728","created_at":"2026-07-05T07:43:29Z"},{"alias_kind":"arxiv_version","alias_value":"2211.16728v3","created_at":"2026-07-05T07:43:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.16728","created_at":"2026-07-05T07:43:29Z"},{"alias_kind":"pith_short_12","alias_value":"RJQDW2IIJRTC","created_at":"2026-07-05T07:43:29Z"},{"alias_kind":"pith_short_16","alias_value":"RJQDW2IIJRTCU5KS","created_at":"2026-07-05T07:43:29Z"},{"alias_kind":"pith_short_8","alias_value":"RJQDW2II","created_at":"2026-07-05T07:43:29Z"}],"graph_snapshots":[{"event_id":"sha256:5678320bddf6c47b7d4bbbfbcfa50b1db62402836cda16d0f7c227616cb19591","target":"graph","created_at":"2026-07-05T07:43:29Z","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/2211.16728/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A \\emph{Kempe chain} on colors $a$ and $b$ is a component of the subgraph induced by colors $a$ and $b$. A \\emph{Kempe change} is the operation of interchanging the colors of some Kempe chain. For a list-assignment $L$ and an $L$-coloring $\\varphi$, a Kempe change is \\emph{$L$-valid} for $\\varphi$ if performing the Kempe change yields another $L$-coloring. Two $L$-colorings are \\emph{$L$-equivalent} if we can form one from the other by a sequence of $L$-valid Kempe changes. A \\emph{degree-assignment} is a list-assignment $L$ such that $L(v)\\ge d(v)$ for every $v\\in V(G)$. Cranston and Mahmoud ","authors_text":"Carl Feghali, Dibyayan Chakraborty, Reem Mahmoud","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-11-30T04:24:09Z","title":"Kempe Equivalent List Colorings Revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.16728","kind":"arxiv","version":3},"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:c81352d2b1f3da64e147e0b4bc7be213c1205942d802b7bee8f8359fe653942b","target":"record","created_at":"2026-07-05T07:43:29Z","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":"cd8faa449c91e24b26b4001d6e25646acfc20411a966922068bd41345994ee53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-11-30T04:24:09Z","title_canon_sha256":"8ba2139c8dab88d1a2daf58d7a26c7e43231c2fca611e259ec02d1dd40571942"},"schema_version":"1.0","source":{"id":"2211.16728","kind":"arxiv","version":3}},"canonical_sha256":"8a603b69084c662a75523e5a70d7fd713a036a6e3d03c85b2e14df4122b4d231","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a603b69084c662a75523e5a70d7fd713a036a6e3d03c85b2e14df4122b4d231","first_computed_at":"2026-07-05T07:43:29.739689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:43:29.739689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K2eAIJ66g4NK1PbUs7Sn01w8eh5W3yIyjXeCaJPla2dNWodJVax3dU16Ge6kZNJQzGKhJ+g4Yqy7hhkGc6MXCw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:43:29.740157Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.16728","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c81352d2b1f3da64e147e0b4bc7be213c1205942d802b7bee8f8359fe653942b","sha256:5678320bddf6c47b7d4bbbfbcfa50b1db62402836cda16d0f7c227616cb19591"],"state_sha256":"ce4f795e9566f650d29da2179159ecca66e729c7d081912336ea5af0f56296dc"}