{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Z44MCSZM7RHEBZTQ653GOOCYVN","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":"f0e98a325d7cd4d772b8eb3bf1bb4adc99878ea95a9a16da689e06b6d945df09","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-20T13:45:36Z","title_canon_sha256":"980ca66b029d88d5d55b8092b6a1deb5e657b98d6a0aca9fb0720aad36788f49"},"schema_version":"1.0","source":{"id":"1707.06503","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.06503","created_at":"2026-05-18T00:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1707.06503v1","created_at":"2026-05-18T00:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06503","created_at":"2026-05-18T00:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"Z44MCSZM7RHE","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z44MCSZM7RHEBZTQ","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z44MCSZM","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:eddd44697ff289d193b4e2b6c901381127bc274f04b45f6860a6d2ee0baeddf8","target":"graph","created_at":"2026-05-18T00:39:53Z","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":"The famous Chinese Postman Problem (CPP) is polynomial time solvable on both undirected and directed graphs. Gutin et al. [Discrete Applied Math 217 (2016)] generalized these results by proving that CPP on $c$-edge-colored graphs is polynomial time solvable for every $c\\geq 2$. In CPP on weighted edge-colored graphs $G$, we wish to find a minimum weight properly colored closed walk containing all edges of $G$ (a walk is properly colored if every two consecutive edges are of different color, including the last and first edges in a closed walk). In this paper, we consider CPP on arc-colored digr","authors_text":"Bin Sheng, Gregory Gutin, Ruijuan Li","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-20T13:45:36Z","title":"The Euler and Chinese Postman Problems on 2-Arc-Colored Digraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06503","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":"sha256:0c8280a2da9e7d89f7e19330998b996fa27cb6603b682a43ce2dbd2a3ef6fb82","target":"record","created_at":"2026-05-18T00:39:53Z","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":"f0e98a325d7cd4d772b8eb3bf1bb4adc99878ea95a9a16da689e06b6d945df09","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-20T13:45:36Z","title_canon_sha256":"980ca66b029d88d5d55b8092b6a1deb5e657b98d6a0aca9fb0720aad36788f49"},"schema_version":"1.0","source":{"id":"1707.06503","kind":"arxiv","version":1}},"canonical_sha256":"cf38c14b2cfc4e40e670f776673858ab78e4d1f8e2208e927e71b67186ecf3c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf38c14b2cfc4e40e670f776673858ab78e4d1f8e2208e927e71b67186ecf3c1","first_computed_at":"2026-05-18T00:39:53.664702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:53.664702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ZQfmoiOHuYOWU8sXOt4mNOZDfAK8+tHiHg1RK8W1C8Jn9K2qjHUD/H+Ht2ql242iy8nunz4HaWcy7PpDnXWCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:53.665335Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.06503","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c8280a2da9e7d89f7e19330998b996fa27cb6603b682a43ce2dbd2a3ef6fb82","sha256:eddd44697ff289d193b4e2b6c901381127bc274f04b45f6860a6d2ee0baeddf8"],"state_sha256":"382efbd00c517f798f3f3343a5211e09ed819380e4640184b2049c8242e057dd"}