{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5RQPGSCVRFBFO5HQFAMLCDDCCV","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":"66b054f3dc5d763710c8b6e70b4c2360b6a2b8a9d1f7f66875395ca1d37ebce8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-21T11:54:57Z","title_canon_sha256":"a5f06e1963d3a23cd09893dd761e0f572a40f1b715b1caad68bebf50df6cf922"},"schema_version":"1.0","source":{"id":"1505.05683","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05683","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05683v1","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05683","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"pith_short_12","alias_value":"5RQPGSCVRFBF","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"5RQPGSCVRFBFO5HQ","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"5RQPGSCV","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:5df8ec932eb741e4c6e04c917be4703d381e54d9c66edf26f8c9840613dc39e4","target":"graph","created_at":"2026-05-18T02:03:53Z","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 consider several graphs classes defined in terms of conditions on cliques and stable sets, including CIS, split, equistable, and other related classes. We pursue a systematic study of the relations between them. As part of this study, we introduce two generalizations of CIS graphs, obtain a new characterization of split graphs, and a characterization of CIS line graphs.","authors_text":"Endre Boros, Martin Milani\\v{c}, Vladimir Gurvich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-21T11:54:57Z","title":"On Equistable, Split, CIS, and Related Classes of Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05683","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:dab2660f1708e889bd86bd420ac3a1c7fd2e089ebb651d635cc86b63d54355bf","target":"record","created_at":"2026-05-18T02:03:53Z","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":"66b054f3dc5d763710c8b6e70b4c2360b6a2b8a9d1f7f66875395ca1d37ebce8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-21T11:54:57Z","title_canon_sha256":"a5f06e1963d3a23cd09893dd761e0f572a40f1b715b1caad68bebf50df6cf922"},"schema_version":"1.0","source":{"id":"1505.05683","kind":"arxiv","version":1}},"canonical_sha256":"ec60f3485589425774f02818b10c62154a376982f1c240ca1016566965f16c44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec60f3485589425774f02818b10c62154a376982f1c240ca1016566965f16c44","first_computed_at":"2026-05-18T02:03:53.778265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:53.778265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OV4Ab438bex96A7YJ7Sv9NQ/1NC1LO22WoGahLnYCIfcwz8FZOMrMI880pxmKpTnmUOYEaCx595/afXMnwd0Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:53.778988Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05683","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dab2660f1708e889bd86bd420ac3a1c7fd2e089ebb651d635cc86b63d54355bf","sha256:5df8ec932eb741e4c6e04c917be4703d381e54d9c66edf26f8c9840613dc39e4"],"state_sha256":"09c7dfb359074a000e13377627a339267ab43a6a65f4981521d099c95ba8d07e"}