{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SIXFMW2IA44JPPLDQOAGWFUMZD","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":"b0aaa6ac9c73d224b53229594c1b9821955810882e4d1b911b347efca0840867","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-05T17:36:38Z","title_canon_sha256":"54a694bfde02b3f7e3578fd84c6a57ac2109621678bee33b08543c9676d0e9f9"},"schema_version":"1.0","source":{"id":"1707.01487","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.01487","created_at":"2026-05-18T00:40:34Z"},{"alias_kind":"arxiv_version","alias_value":"1707.01487v2","created_at":"2026-05-18T00:40:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01487","created_at":"2026-05-18T00:40:34Z"},{"alias_kind":"pith_short_12","alias_value":"SIXFMW2IA44J","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SIXFMW2IA44JPPLD","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SIXFMW2I","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:663cd57b508d247d858955ffaee1544ef94d4a4a414740c1a1d2cf34f4ad5668","target":"graph","created_at":"2026-05-18T00:40:34Z","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 study a generalization of the Steiner tree problem, where we are given a weighted network $G$ together with a collection of $k$ subsets of its vertices and a root $r$. We wish to construct a minimum cost network such that the network supports one unit of flow to the root from every node in a subset simultaneously. The network constructed does not need to support flows from all the subsets simultaneously.\n  We settle an open question regarding the complexity of this problem for $k=2$, and give a $\\frac{3}{2}$-approximation algorithm that improves over a (trivial) known 2-approximation. Furth","authors_text":"Guru Guruganesh, Jennifer Iglesias, Laura Sanit\\`a, R. Ravi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-05T17:36:38Z","title":"Single-sink Fractionally Subadditive Network Design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01487","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":"sha256:462b18c2c9322c7e6afc2a78e6286d43faf12c796e5b05264bd79265d42c61ba","target":"record","created_at":"2026-05-18T00:40:34Z","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":"b0aaa6ac9c73d224b53229594c1b9821955810882e4d1b911b347efca0840867","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-05T17:36:38Z","title_canon_sha256":"54a694bfde02b3f7e3578fd84c6a57ac2109621678bee33b08543c9676d0e9f9"},"schema_version":"1.0","source":{"id":"1707.01487","kind":"arxiv","version":2}},"canonical_sha256":"922e565b48073897bd6383806b168cc8daaedff06954d6889617d0dad98e6e85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"922e565b48073897bd6383806b168cc8daaedff06954d6889617d0dad98e6e85","first_computed_at":"2026-05-18T00:40:34.699662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:34.699662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A7DkB8zuuS5PKupc3O9nvo0wMfwwrH8WvJ1A+qaiLNKxfz3Wz1tAt2rug+1DcqoMbvRIGgRKlTZPCw1p/orMAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:34.700981Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.01487","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:462b18c2c9322c7e6afc2a78e6286d43faf12c796e5b05264bd79265d42c61ba","sha256:663cd57b508d247d858955ffaee1544ef94d4a4a414740c1a1d2cf34f4ad5668"],"state_sha256":"84584dc6a6c8569add93c0bcdd2e121453bcc55af4574dec3168838b0b9b78aa"}