{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MAGTQCK35V5ZIM4OPX3LDZMUTN","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":"6ead10a73a5189afeb4b8464286d66e650a41999b87f6b57d4a487d854ac3112","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-18T19:09:15Z","title_canon_sha256":"130e7c552156f7d2dfc5605f6f31a4afbb9d5d976c7ca1446f88bb946ee9c865"},"schema_version":"1.0","source":{"id":"1702.05645","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05645","created_at":"2026-05-17T23:45:10Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05645v3","created_at":"2026-05-17T23:45:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05645","created_at":"2026-05-17T23:45:10Z"},{"alias_kind":"pith_short_12","alias_value":"MAGTQCK35V5Z","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MAGTQCK35V5ZIM4O","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MAGTQCK3","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:54fc2613bf5273ddc4b69aedeac3cc2f05e97dcb81ab4304da11e5d8e9ed2004","target":"graph","created_at":"2026-05-17T23:45:10Z","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":"There are different solution concepts for convex vector optimization problems (CVOPs) and a recent one, which is motivated from a set optimization point of view, consists of finitely many efficient solutions that generate polyhedral inner and outer approximations to the Pareto frontier. A CVOP with compact feasible region is known to be bounded and there exists a solution of this sense to it. However, it is not known if it is possible to generate polyhedral inner and outer approximations to the Pareto frontier of a CVOP if the feasible region is not compact. This study shows that not all CVOPs","authors_text":"Firdevs Ulus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-18T19:09:15Z","title":"Tractability of Convex Vector Optimization Problems in the Sense of Polyhedral Approximations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05645","kind":"arxiv","version":3},"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":"sha256:52f743680d112cfb9b7e8d965737f7eba87baecedccacc7515e8b453d0f68858","target":"record","created_at":"2026-05-17T23:45:10Z","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":"6ead10a73a5189afeb4b8464286d66e650a41999b87f6b57d4a487d854ac3112","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-18T19:09:15Z","title_canon_sha256":"130e7c552156f7d2dfc5605f6f31a4afbb9d5d976c7ca1446f88bb946ee9c865"},"schema_version":"1.0","source":{"id":"1702.05645","kind":"arxiv","version":3}},"canonical_sha256":"600d38095bed7b94338e7df6b1e5949b65770da513fe7aad9dc5cf3ed71e4d33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"600d38095bed7b94338e7df6b1e5949b65770da513fe7aad9dc5cf3ed71e4d33","first_computed_at":"2026-05-17T23:45:10.162792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:10.162792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zx9j0FX/iTNPoajEI6ewvHXWkFif9wospTym24cOxTHyrEfIwyX8s4IvehTED1/2azLAS2ZqwR/mM/7+b8zTCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:10.163609Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.05645","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52f743680d112cfb9b7e8d965737f7eba87baecedccacc7515e8b453d0f68858","sha256:54fc2613bf5273ddc4b69aedeac3cc2f05e97dcb81ab4304da11e5d8e9ed2004"],"state_sha256":"9d506da4c1ac34211763f93b20b9fb5c05200e902a2054eee3185ebdc7bdae98"}