{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UXTZQEF3PEZL6BICXQF4Y64U5X","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":"821dd1a304ce61c4777f143aca01a6610544f56e0af760104d3bf73003eb79af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-09-13T13:02:15Z","title_canon_sha256":"3a5f63f1e31eb2dc183125fd8809418c17e9d3f4f5b8f3438be9e8770b402445"},"schema_version":"1.0","source":{"id":"2309.06929","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.06929","created_at":"2026-07-05T06:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"2309.06929v1","created_at":"2026-07-05T06:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.06929","created_at":"2026-07-05T06:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"UXTZQEF3PEZL","created_at":"2026-07-05T06:50:24Z"},{"alias_kind":"pith_short_16","alias_value":"UXTZQEF3PEZL6BIC","created_at":"2026-07-05T06:50:24Z"},{"alias_kind":"pith_short_8","alias_value":"UXTZQEF3","created_at":"2026-07-05T06:50:24Z"}],"graph_snapshots":[{"event_id":"sha256:32f6addaf6934e08d7c4912148187611a4d68c6f6a5586bf78f6d15a4690dfb8","target":"graph","created_at":"2026-07-05T06:50:24Z","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/2309.06929/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The imbalances and conditioning of the objective functions influence the performance of first-order methods for multiobjective optimization problems (MOPs). The latter is related to the metric selected in the direction-finding subproblems. Unlike single-objective optimization problems, capturing the curvature of all objective functions with a single Hessian matrix is impossible. On the other hand, second-order methods for MOPs use different metrics for objectives in direction-finding subproblems, leading to a high per-iteration cost. To balance per-iteration cost and better curvature explorati","authors_text":"Jian Chen, Liping Tang, Xinmin Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-09-13T13:02:15Z","title":"Barzilai-Borwein Descent Methods for Multiobjective Optimization Problems with Variable Trade-off Metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.06929","kind":"arxiv","version":1},"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:b8799df8e3b0742fca157fe984718e677fbbea68107560a06d39226d5fe60595","target":"record","created_at":"2026-07-05T06:50:24Z","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":"821dd1a304ce61c4777f143aca01a6610544f56e0af760104d3bf73003eb79af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-09-13T13:02:15Z","title_canon_sha256":"3a5f63f1e31eb2dc183125fd8809418c17e9d3f4f5b8f3438be9e8770b402445"},"schema_version":"1.0","source":{"id":"2309.06929","kind":"arxiv","version":1}},"canonical_sha256":"a5e79810bb7932bf0502bc0bcc7b94edf964d8ecac51f759beb839751aece656","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5e79810bb7932bf0502bc0bcc7b94edf964d8ecac51f759beb839751aece656","first_computed_at":"2026-07-05T06:50:24.336968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:50:24.336968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wy8S9S6swea5LOcz2PHFqAquwPLqDTLhFhGOxpC6KHZ6pvwiw2MyGlDhlLW6fkGAQFhsO70tYykPtTcTXqd1Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:50:24.337491Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.06929","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8799df8e3b0742fca157fe984718e677fbbea68107560a06d39226d5fe60595","sha256:32f6addaf6934e08d7c4912148187611a4d68c6f6a5586bf78f6d15a4690dfb8"],"state_sha256":"533bccc8f1feea1f4fb17764f34f6b08201371b647efa2aafd978c19da42f450"}