{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UC5JTKYPLNOCBM5GCGV3DNCSNQ","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":"0d69b920add126642f6fc64454a5cf6043df08151580abbbfdab4736bac72a03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2023-09-11T00:01:44Z","title_canon_sha256":"957cfaef0e6f12babc839ae04fe4e8a964b42aa44f68d1e700942ceee7e685c3"},"schema_version":"1.0","source":{"id":"2309.05172","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.05172","created_at":"2026-07-05T08:16:07Z"},{"alias_kind":"arxiv_version","alias_value":"2309.05172v2","created_at":"2026-07-05T08:16:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.05172","created_at":"2026-07-05T08:16:07Z"},{"alias_kind":"pith_short_12","alias_value":"UC5JTKYPLNOC","created_at":"2026-07-05T08:16:07Z"},{"alias_kind":"pith_short_16","alias_value":"UC5JTKYPLNOCBM5G","created_at":"2026-07-05T08:16:07Z"},{"alias_kind":"pith_short_8","alias_value":"UC5JTKYP","created_at":"2026-07-05T08:16:07Z"}],"graph_snapshots":[{"event_id":"sha256:6107385abf34750f2db150812d07d9a1adfa78947b29d5c7c557c22308e3841f","target":"graph","created_at":"2026-07-05T08:16:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2309.05172/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Approximation algorithms for the prize-collecting Steiner forest problem (PCSF) have been a subject of research for over three decades, starting with the seminal works of Agrawal, Klein, and Ravi and Goemans and Williamson on Steiner forest and prize-collecting problems. In this paper, we propose and analyze a natural deterministic algorithm for PCSF that achieves a $2$-approximate solution in polynomial time. This represents a significant improvement compared to the previously best known algorithm with a $2.54$-approximation factor developed by Hajiaghayi and Jain in 2006. Furthermore, K{\\\"{o","authors_text":"Ali Ahmadi, Iman Gholami, Mohammad Mahdavi, MohammadTaghi Hajiaghayi, Peyman Jabbarzade","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2023-09-11T00:01:44Z","title":"2-Approximation for Prize-Collecting Steiner Forest"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.05172","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":"sha256:3ed430d640552767d5b357b273bb989de27f0037db16f290a59d83be0aa0e0f2","target":"record","created_at":"2026-07-05T08:16:07Z","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":"0d69b920add126642f6fc64454a5cf6043df08151580abbbfdab4736bac72a03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2023-09-11T00:01:44Z","title_canon_sha256":"957cfaef0e6f12babc839ae04fe4e8a964b42aa44f68d1e700942ceee7e685c3"},"schema_version":"1.0","source":{"id":"2309.05172","kind":"arxiv","version":2}},"canonical_sha256":"a0ba99ab0f5b5c20b3a611abb1b4526c3e428422956b47c39ac1833cdcb5f57e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0ba99ab0f5b5c20b3a611abb1b4526c3e428422956b47c39ac1833cdcb5f57e","first_computed_at":"2026-07-05T08:16:07.479626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:16:07.479626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yihLvmtthdFMfkIDV/g4eNbYK2kJMSLUb2hSC+TxNiyq93EcnvLL9M2ZdINk9qabYOwoQjgcmD+ZWPbr0OA6Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:16:07.480171Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.05172","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ed430d640552767d5b357b273bb989de27f0037db16f290a59d83be0aa0e0f2","sha256:6107385abf34750f2db150812d07d9a1adfa78947b29d5c7c557c22308e3841f"],"state_sha256":"c8fb2fc0d2b263b7ef7eda588953cca1f98e34eacfcb5630a2b62945acf1dda2"}