{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UPSWOUVV6VDHX64JDXVVRYM6VN","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":"c6bd69da0a1cd7a0686de7f8787220a3ea2c89b4c8346ab3f13e99d5a35440d9","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2013-06-07T16:00:56Z","title_canon_sha256":"3229aff53be38b9c8f4382ca1ef257f17877f14d39c4e1222ca9ff1a03caece3"},"schema_version":"1.0","source":{"id":"1306.1758","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1758","created_at":"2026-05-18T00:31:59Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1758v2","created_at":"2026-05-18T00:31:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1758","created_at":"2026-05-18T00:31:59Z"},{"alias_kind":"pith_short_12","alias_value":"UPSWOUVV6VDH","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UPSWOUVV6VDHX64J","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UPSWOUVV","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:4dce75324bcdce03666e8c5e8690ae1124ac9c418cef5da7057e59a91a1b608a","target":"graph","created_at":"2026-05-18T00:31:59Z","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":"This paper describes a new exact algorithm for the Equitable Coloring Problem, a coloring problem where the sizes of two arbitrary color classes differ in at most one unit. Based on the well known DSatur algorithm for the classic Coloring Problem, a new pruning criterion arising from equity constraints is proposed and analyzed. The good performance of the algorithm is shown through computational experiments over random and benchmark instances.","authors_text":"Daniel Severin, Graciela Nasini, Isabel M\\'endez-D\\'iaz","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2013-06-07T16:00:56Z","title":"A DSATUR-based algorithm for the Equitable Coloring Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1758","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:a6293e8fc536fd41dc63ff000188723c5fbb04573a826eb2be0e1b4e6b467a4b","target":"record","created_at":"2026-05-18T00:31:59Z","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":"c6bd69da0a1cd7a0686de7f8787220a3ea2c89b4c8346ab3f13e99d5a35440d9","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2013-06-07T16:00:56Z","title_canon_sha256":"3229aff53be38b9c8f4382ca1ef257f17877f14d39c4e1222ca9ff1a03caece3"},"schema_version":"1.0","source":{"id":"1306.1758","kind":"arxiv","version":2}},"canonical_sha256":"a3e56752b5f5467bfb891deb58e19eab785cd9d665c18cbbacc6bc7aade3c814","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3e56752b5f5467bfb891deb58e19eab785cd9d665c18cbbacc6bc7aade3c814","first_computed_at":"2026-05-18T00:31:59.710867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:59.710867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r0QVrmrI7HNvfL8ykM0UIhNSJIg0jndLCnxHtjDK+NyZuDXoebXPXBPkLiCBd1TZuq7zRNztXIhGk3IZwHEpDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:59.711443Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1758","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6293e8fc536fd41dc63ff000188723c5fbb04573a826eb2be0e1b4e6b467a4b","sha256:4dce75324bcdce03666e8c5e8690ae1124ac9c418cef5da7057e59a91a1b608a"],"state_sha256":"13afbfcb540643e7e4ca2aca463bb9d65bfc8389169ced2799f4714fe81b0177"}