{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NBBBVOUB5IGMEMNVWOOQQIJISB","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":"d5d0be35d1780d2d2d7082bc09c9abc1c4b887c4fd3c020b74c3392a8332f887","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-12-08T21:48:26Z","title_canon_sha256":"13716c4a8d6cf31b301f36f8e57cd5ac66f7dba72fa2b52b6a40754c4c1d3798"},"schema_version":"1.0","source":{"id":"1412.2787","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2787","created_at":"2026-05-18T02:31:37Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2787v2","created_at":"2026-05-18T02:31:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2787","created_at":"2026-05-18T02:31:37Z"},{"alias_kind":"pith_short_12","alias_value":"NBBBVOUB5IGM","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NBBBVOUB5IGMEMNV","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NBBBVOUB","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:30c22ab7d7f9f221621e9d1ba956f6563d247193a2bdefda33f303ff3e710452","target":"graph","created_at":"2026-05-18T02:31:37Z","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 present an effective heuristic for the Steiner Problem in Graphs. Its main elements are a multistart algorithm coupled with aggressive combination of elite solutions, both leveraging recently-proposed fast local searches. We also propose a fast implementation of a well-known dual ascent algorithm that not only makes our heuristics more robust (by quickly dealing with easier cases), but can also be used as a building block of an exact (branch-and-bound) algorithm that is quite effective for some inputs. On all graph classes we consider, our heuristic is competitive with (and sometimes more e","authors_text":"Eduardo Uchoa, Renato F. Werneck, Thomas Pajor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-12-08T21:48:26Z","title":"A Robust and Scalable Algorithm for the Steiner Problem in Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2787","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:b225213a2fe25e2c218b5d9c5e54816e2cd05dc769fe75a71672093e6f64488c","target":"record","created_at":"2026-05-18T02:31:37Z","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":"d5d0be35d1780d2d2d7082bc09c9abc1c4b887c4fd3c020b74c3392a8332f887","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-12-08T21:48:26Z","title_canon_sha256":"13716c4a8d6cf31b301f36f8e57cd5ac66f7dba72fa2b52b6a40754c4c1d3798"},"schema_version":"1.0","source":{"id":"1412.2787","kind":"arxiv","version":2}},"canonical_sha256":"68421aba81ea0cc231b5b39d0821289057b959d6de85f976b1451fdf2d71e631","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68421aba81ea0cc231b5b39d0821289057b959d6de85f976b1451fdf2d71e631","first_computed_at":"2026-05-18T02:31:37.580444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:37.580444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ob9V11xsAzgRyhX0ps8xKHtfM1BCg/ClkVFTqegnRhe53K+1teeW6Hu/6tSqH8OpLrlKBWfDt84w29VKJ4dWDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:37.581031Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2787","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b225213a2fe25e2c218b5d9c5e54816e2cd05dc769fe75a71672093e6f64488c","sha256:30c22ab7d7f9f221621e9d1ba956f6563d247193a2bdefda33f303ff3e710452"],"state_sha256":"797c29474b4e71f307e06fa594b31940ade9a8617a17cb309f7e7329f7fed1df"}