{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WMH6CRNYM5DEHQK7FOSDHMX2KM","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":"80e744dfba4cf622f18a20b0ef50477bf979aee86999b018f80ae133d022a727","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-10-29T20:31:33Z","title_canon_sha256":"a1816b303d1b845cfc927a7106c3ccd0fc1d52db3838c4a6f71e278e61b6a450"},"schema_version":"1.0","source":{"id":"1410.8154","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8154","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8154v1","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8154","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"pith_short_12","alias_value":"WMH6CRNYM5DE","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WMH6CRNYM5DEHQK7","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WMH6CRNY","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:5b00f9fafa18294ec199d173e66fc4cc4a172d2aa9034340b6aeb466e678ebbb","target":"graph","created_at":"2026-05-18T02:39:00Z","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":"Given an undirected graph, each of the two end-vertices of an edge can own the edge. Call a vertex poor, if it owns at most one edge. We give a polynomial time algorithm for the problem of finding an assignment of owners to the edges which minimizes the number of poor vertices. In the terminology of graph orientation, this means finding an orientation for the edges of a graph minimizing the number of edges with out-degree at most 1, and answers a question of Asahiro Jansson, Miyano, Ono (2014).","authors_text":"Kaveh Khoshkhah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-10-29T20:31:33Z","title":"On finding orientations with fewest number of vartices with small out-degree"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8154","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":"sha256:1ea42e0094b64b7d7dee542b78dc30b64ba6ca4ae95a2a0e5614c349459c5365","target":"record","created_at":"2026-05-18T02:39:00Z","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":"80e744dfba4cf622f18a20b0ef50477bf979aee86999b018f80ae133d022a727","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-10-29T20:31:33Z","title_canon_sha256":"a1816b303d1b845cfc927a7106c3ccd0fc1d52db3838c4a6f71e278e61b6a450"},"schema_version":"1.0","source":{"id":"1410.8154","kind":"arxiv","version":1}},"canonical_sha256":"b30fe145b8674643c15f2ba433b2fa531d91f9c63ba5c7ebf616b822d394ee7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b30fe145b8674643c15f2ba433b2fa531d91f9c63ba5c7ebf616b822d394ee7b","first_computed_at":"2026-05-18T02:39:00.519668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:00.519668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/ReCFYRxheXmOnRuUeGzoc++qO1QxTiNZ9DUzjPfor3Kjw6+/jGVdPJDua8y2yXQ6dcTZXqc1bZB3purxYeeCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:00.520103Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.8154","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ea42e0094b64b7d7dee542b78dc30b64ba6ca4ae95a2a0e5614c349459c5365","sha256:5b00f9fafa18294ec199d173e66fc4cc4a172d2aa9034340b6aeb466e678ebbb"],"state_sha256":"277afc1278340bc31f49cda9ae2dce19c88c5403a7feba352d3a165aa173e229"}