{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YFNBY5RI2HA7HSQVD42CYN4P36","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":"d3d76b72f662e4261fa7900a72769a4664a276fba2c630ffae5945b82d6d5b6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-08T05:31:17Z","title_canon_sha256":"2d62acf16b6931b9bf2fc4efc7aa9fb3dc9ee5fb7cf77ea5019901bae204fd62"},"schema_version":"1.0","source":{"id":"1705.02748","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02748","created_at":"2026-05-17T23:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02748v2","created_at":"2026-05-17T23:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02748","created_at":"2026-05-17T23:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"YFNBY5RI2HA7","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YFNBY5RI2HA7HSQV","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YFNBY5RI","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:e9ddeaaab59a2dc01a342bec1b906d03f43e528f114d3609ace2239bb88189ae","target":"graph","created_at":"2026-05-17T23:54:48Z","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 the problem of finding a small subset of items that is \\emph{agreeable} to all agents, meaning that all agents value the subset at least as much as its complement. Previous work has shown worst-case bounds, over all instances with a given number of agents and items, on the number of items that may need to be included in such a subset. Our goal in this paper is to efficiently compute an agreeable subset whose size approximates the size of the smallest agreeable subset for a given instance. We consider three well-known models for representing the preferences of the agents: ordinal prefe","authors_text":"Pasin Manurangsi, Warut Suksompong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-08T05:31:17Z","title":"Computing an Approximately Optimal Agreeable Set of Items"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02748","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:d18c8042151bf6468d81ef9aac5e51751fdedec7c0de3df89a03b43c5c08787e","target":"record","created_at":"2026-05-17T23:54:48Z","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":"d3d76b72f662e4261fa7900a72769a4664a276fba2c630ffae5945b82d6d5b6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-08T05:31:17Z","title_canon_sha256":"2d62acf16b6931b9bf2fc4efc7aa9fb3dc9ee5fb7cf77ea5019901bae204fd62"},"schema_version":"1.0","source":{"id":"1705.02748","kind":"arxiv","version":2}},"canonical_sha256":"c15a1c7628d1c1f3ca151f342c378fdf9ce0c928e36c2cedb5ecedbe7d5d63a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c15a1c7628d1c1f3ca151f342c378fdf9ce0c928e36c2cedb5ecedbe7d5d63a6","first_computed_at":"2026-05-17T23:54:48.749697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:48.749697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pTWgXWx5YXhzBXihlONc+iauRi7/urQRQC0H+aS15ZPOFdbyTkzsQOzkPwrleQJTpSo1l6Crq03ducGL1mK8CQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:48.750272Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02748","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d18c8042151bf6468d81ef9aac5e51751fdedec7c0de3df89a03b43c5c08787e","sha256:e9ddeaaab59a2dc01a342bec1b906d03f43e528f114d3609ace2239bb88189ae"],"state_sha256":"0d46cbaf77af50fb1d4f3bb9aeb633cb7ef125116539175948c17b239db130ad"}