{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GDCEMK4SFDCEUGP6JMB6LIMPFZ","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":"bf8a706fab8699fb665d217f748bca6366f9b2988c80e4b064e63f1b131fdbbe","cross_cats_sorted":["cs.CG","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-06T09:05:24Z","title_canon_sha256":"bf634ecdf32c1c87b95c8fb6ac8465322e1bb425061aa35eb7c6d796f7b98eda"},"schema_version":"1.0","source":{"id":"1808.01786","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.01786","created_at":"2026-05-17T23:50:49Z"},{"alias_kind":"arxiv_version","alias_value":"1808.01786v2","created_at":"2026-05-17T23:50:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.01786","created_at":"2026-05-17T23:50:49Z"},{"alias_kind":"pith_short_12","alias_value":"GDCEMK4SFDCE","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GDCEMK4SFDCEUGP6","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GDCEMK4S","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:590b2c5205fb99863618f1009378d029f92d7a9028938e139c154025ef6020e6","target":"graph","created_at":"2026-05-17T23:50:49Z","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":"Benson's outer approximation algorithm and its variants are the most frequently used methods for solving linear multiobjective optimization problems. These algorithms have two intertwined components: one-dimensional linear optimization one one hand, and a combinatorial part closely related to vertex numeration on the other. Their separation provides a deeper insight into Benson's algorithm, and points toward a dual approach. Two skeletal algorithms are defined which focus on the combinatorial part. Using different single-objective optimization problems - called oracle calls - yield different a","authors_text":"Laszlo Csirmaz","cross_cats":["cs.CG","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-06T09:05:24Z","title":"Inner approximation algorithm for solving linear multiobjective optimization problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01786","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":"sha256:1f1cdbbafff62a3acd34ae79368829ca7113446be9514720e43a3c39207ec096","target":"record","created_at":"2026-05-17T23:50:49Z","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":"bf8a706fab8699fb665d217f748bca6366f9b2988c80e4b064e63f1b131fdbbe","cross_cats_sorted":["cs.CG","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-06T09:05:24Z","title_canon_sha256":"bf634ecdf32c1c87b95c8fb6ac8465322e1bb425061aa35eb7c6d796f7b98eda"},"schema_version":"1.0","source":{"id":"1808.01786","kind":"arxiv","version":2}},"canonical_sha256":"30c4462b9228c44a19fe4b03e5a18f2e6c056a463afa3f14a371017ef86e7873","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30c4462b9228c44a19fe4b03e5a18f2e6c056a463afa3f14a371017ef86e7873","first_computed_at":"2026-05-17T23:50:49.037681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:49.037681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nCKAsEhgrZLNoG1Fdxm8mnUgi5j+9qBFVioJF2pnoKosuqLaqZvBFrlHWPK8zbl85mQvAFjEY+KQ1ZK9FWo2Ag==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:49.038304Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.01786","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f1cdbbafff62a3acd34ae79368829ca7113446be9514720e43a3c39207ec096","sha256:590b2c5205fb99863618f1009378d029f92d7a9028938e139c154025ef6020e6"],"state_sha256":"d0aa80dd687d3fb465756bd8f9314f03dba4f5a247c9f49b34277c9206b47f92"}