{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:S3TFF5ZGBTGAQDKONDRJ2RV2YZ","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":"d7eb73edb9e7bb3aa9ae8a41816c4d3fb26a6e58ac0be8ab73405b150a8187fb","cross_cats_sorted":["cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-04-20T08:57:39Z","title_canon_sha256":"9e16ab408f9247274b577c902b4598684383f2606b4c1763afb1cf303f58c528"},"schema_version":"1.0","source":{"id":"1804.07496","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07496","created_at":"2026-05-18T00:17:58Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07496v1","created_at":"2026-05-18T00:17:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07496","created_at":"2026-05-18T00:17:58Z"},{"alias_kind":"pith_short_12","alias_value":"S3TFF5ZGBTGA","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S3TFF5ZGBTGAQDKO","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S3TFF5ZG","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:b040cbe8d5170196d4b9f3baa19c039dc0dba0dd219c56544f515f4325c7af3a","target":"graph","created_at":"2026-05-18T00:17:58Z","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":"Many applications in graph theory are motivated by routing or flow problems. Among these problems is Steiner Orientation: given a mixed graph G (having directed and undirected edges) and a set T of k terminal pairs in G, is there an orientation of the undirected edges in G such that there is a directed path for every terminal pair in T ? This problem was shown to be NP -complete by Arkin and Hassin [1] and later W [1]-hard by Pilipczuk and Wahlstr\\\"om [7], parametrized by k. On the other hand, there is an XP algorithm by Cygan et al. [3] and a polynomial time algorithm for graphs without direc","authors_text":"Andre L\\\"offler, Johannes Blum, Johannes Zink, Moritz Beck, Myroslav Kryven","cross_cats":["cs.CC","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-04-20T08:57:39Z","title":"Planar Steiner Orientation is NP-complete"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07496","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:ce3abf0133927394d738c79f3924597d197730e3ff592dc76d59d4580d313a6a","target":"record","created_at":"2026-05-18T00:17:58Z","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":"d7eb73edb9e7bb3aa9ae8a41816c4d3fb26a6e58ac0be8ab73405b150a8187fb","cross_cats_sorted":["cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-04-20T08:57:39Z","title_canon_sha256":"9e16ab408f9247274b577c902b4598684383f2606b4c1763afb1cf303f58c528"},"schema_version":"1.0","source":{"id":"1804.07496","kind":"arxiv","version":1}},"canonical_sha256":"96e652f7260ccc080d4e68e29d46bac649c31e2a13e9220d0bdb65252b1d14f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96e652f7260ccc080d4e68e29d46bac649c31e2a13e9220d0bdb65252b1d14f8","first_computed_at":"2026-05-18T00:17:58.633941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:58.633941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nb951bCsu+chJ3SQZrHUEfopJdMFR/4WOUJSrQSIMJZuOx0NfsJ5N/Mp9TDwZr7x6dM3qRwAVC3/ZoOpGMRsBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:58.634448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.07496","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce3abf0133927394d738c79f3924597d197730e3ff592dc76d59d4580d313a6a","sha256:b040cbe8d5170196d4b9f3baa19c039dc0dba0dd219c56544f515f4325c7af3a"],"state_sha256":"d595bc4bda91b1774fea5211d37fb5d0de5ddaf80e6fa1e8383f0b430e847d40"}