{"as_of":"2026-08-09T20:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eeaeb878291ae0920307cd67a4353e38a1e34a5b64fdde3e52137efbff7789c7","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T11:35:29.788923Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T18:36:08.422071Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.19440","last_updated":"2025-03-08T20:40:28Z","snapshot_observed_at":"2026-08-08T21:26:27.722837Z","submitted_at":"2024-05-29T18:36:59Z","title":"MGDA Converges under Generalized Smoothness, Provably","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19440","snapshot_observed_at":"2026-08-08T11:35:29.788923Z","title":"Mgda converges under generalized smoothness, provably","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.07923","last_updated":"2025-05-27T15:31:20Z","snapshot_observed_at":"2026-08-08T23:26:23.316471Z","submitted_at":"2025-02-11T19:54:11Z","title":"Sign Operator for Coping with Heavy-Tailed Noise in Non-Convex Optimization: High Probability Bounds Under $(L_0, L_1)$-Smoothness","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-08T11:35:29.788923Z"},"links":{"cited_paper":"/paper/2405.19440","citing_paper":"/paper/2502.07923"},"observation_digest":"sha256:f4d76e976080b634706240503cc82859deb1db428e666f6e73853a3b222f7822","observation_id":"a6f30be4-74ca-47b0-92db-72ce23a428a1","resolution":{"observed_at":"2026-08-08T11:35:29.788923Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19440","last_updated":"2025-03-08T20:40:28Z","snapshot_observed_at":"2026-08-08T21:26:27.722837Z","submitted_at":"2024-05-29T18:36:59Z","title":"MGDA Converges under Generalized Smoothness, Provably","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19440","snapshot_observed_at":"2026-08-07T14:30:43.182562Z","title":"On the convergence of multi-objective optimization under generalized smoothness","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.18765","last_updated":"2025-05-24T16:08:13Z","snapshot_observed_at":"2026-08-07T14:23:53.505964Z","submitted_at":"2025-05-24T16:08:13Z","title":"Multiple Wasserstein Gradient Descent Algorithm for Multi-Objective Distributional Optimization","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T14:30:43.182562Z"},"links":{"cited_paper":"/paper/2405.19440","citing_paper":"/paper/2505.18765"},"observation_digest":"sha256:17b8b2d2ec459eb5468f938ca22d91c347ac5471601c65702cf44d98998a9ac3","observation_id":"940797d4-c792-4eea-8ace-5601142eb55e","resolution":{"observed_at":"2026-08-07T14:30:43.182562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19440","last_updated":"2025-03-08T20:40:28Z","snapshot_observed_at":"2026-08-08T21:26:27.722837Z","submitted_at":"2024-05-29T18:36:59Z","title":"MGDA Converges under Generalized Smoothness, Provably","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19440","snapshot_observed_at":"2026-08-06T18:33:07.935717Z","title":"Zhang, P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.08913","last_updated":"2025-07-11T15:36:48Z","snapshot_observed_at":"2026-08-09T15:33:05.905378Z","submitted_at":"2025-07-11T15:36:48Z","title":"Revisiting Convergence: Shuffling Complexity Beyond Lipschitz Smoothness","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-06T18:33:07.935717Z"},"links":{"cited_paper":"/paper/2405.19440","citing_paper":"/paper/2507.08913"},"observation_digest":"sha256:c323ca9bb4164530dd25f3c5bb1113a59b63e39012491810dde98732beb2f1e8","observation_id":"7875514d-ac8d-41cb-9a56-122ee43fad44","resolution":{"observed_at":"2026-08-06T18:33:07.935717Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19440","last_updated":"2025-03-08T20:40:28Z","snapshot_observed_at":"2026-08-08T21:26:27.722837Z","submitted_at":"2024-05-29T18:36:59Z","title":"MGDA Converges under Generalized Smoothness, Provably","version":5},"cited_work":{"arxiv_id":"2405.19440","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19440","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2405.19440 , year=","venue":null,"work_id":"c0f18c63-bdf7-4967-956b-d182cbd6d70f","year":null},"citing_paper":{"arxiv_id":"2605.05660","last_updated":"2026-05-07T04:24:17Z","snapshot_observed_at":"2026-07-06T23:18:17.333660Z","submitted_at":"2026-05-07T04:24:17Z","title":"Distributionally Robust Multi-Objective Optimization","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-08T15:00:37.589354Z"},"links":{"cited_paper":"/paper/2405.19440","citing_paper":"/paper/2605.05660"},"observation_digest":"sha256:a9b86fe71408aa58452928673f556d96dce70bbe034cedaf1a4f48ce074d4b74","observation_id":"2b2e8388-6f6e-4ba7-a314-159c0bc19ffb","resolution":{"observed_at":"2026-05-11T18:36:08.424089Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.19440/citation-record","integrity":"/paper/2405.19440/integrity","json":"/paper/2405.19440/citation-record.json","paper":"/paper/2405.19440"},"outbound":[],"paper":{"arxiv_id":"2405.19440","last_updated":"2025-03-08T20:40:28Z","latest_version":5,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-08T21:26:27.722837Z","submitted_at":"2024-05-29T18:36:59Z","title":"MGDA Converges under Generalized Smoothness, Provably"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2405.19440."}