{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HQ7XMXXEU5QLEWJHEFOAV7WP7H","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":"f00c9ca5b838470258bd111406503d47a96034f13d698faadf15b62ed49a9d7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-06-09T08:31:12Z","title_canon_sha256":"a2860fc2ccb43ab425f796f01fe7f8851584c3c39b66e7dd0dcda843875198a1"},"schema_version":"1.0","source":{"id":"1506.02823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02823","created_at":"2026-05-18T01:55:40Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02823v1","created_at":"2026-05-18T01:55:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02823","created_at":"2026-05-18T01:55:40Z"},{"alias_kind":"pith_short_12","alias_value":"HQ7XMXXEU5QL","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HQ7XMXXEU5QLEWJH","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HQ7XMXXE","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:ba1cfde1495fd1192a507642d4f20ee2e1c745b55d40a30e189128cf62922d4c","target":"graph","created_at":"2026-05-18T01:55:40Z","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 present some first results concerning a gradient-based dynamic approach to multi-objective optimization problems, involving inertial effects. We prove the existence of global solution trajectories for this second-order differential equation, and their convergence to weak Pareto points in the convex case. It is a first step towards the design of fast numerical methods for multi-objective optimization.","authors_text":"Guillaume Garrigos (UTFSM, H\\'edy Attouch (I3M), I3M)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-06-09T08:31:12Z","title":"Multiibjective optimization : an inertial dynamical approach to Pareto optima"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02823","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:f0b08abf2b83a9683d23fc774691cabbb6e4d774834a8812f1dfad973d6dc846","target":"record","created_at":"2026-05-18T01:55:40Z","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":"f00c9ca5b838470258bd111406503d47a96034f13d698faadf15b62ed49a9d7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-06-09T08:31:12Z","title_canon_sha256":"a2860fc2ccb43ab425f796f01fe7f8851584c3c39b66e7dd0dcda843875198a1"},"schema_version":"1.0","source":{"id":"1506.02823","kind":"arxiv","version":1}},"canonical_sha256":"3c3f765ee4a760b25927215c0afecff9ed4cac338fb48e1a3c69fd1bbdb74553","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c3f765ee4a760b25927215c0afecff9ed4cac338fb48e1a3c69fd1bbdb74553","first_computed_at":"2026-05-18T01:55:40.817794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:40.817794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bDUBAPZSdBbtn1OuhrJ9KV2VKSFhxcLaAMaXDCaoZqPz/aB0gY8qoqcsAY8QO4gsn1rK6LvAAR4qlmof/G9eAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:40.818451Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0b08abf2b83a9683d23fc774691cabbb6e4d774834a8812f1dfad973d6dc846","sha256:ba1cfde1495fd1192a507642d4f20ee2e1c745b55d40a30e189128cf62922d4c"],"state_sha256":"4030ded1129b9acb85652dfd85f0494403b1bfc8c9b0d9827fc81ba38926576a"}