{"as_of":"2026-08-08T01:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3a64693dca6a4fd0a1a9d1ba8d6f80159a395911b504545303d99fcc6a97f8dd","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:57:00.408648Z","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":"2026-05-12T06:16:25.872268Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.16337","last_updated":"2025-03-20T16:56:06Z","snapshot_observed_at":"2026-08-07T16:48:34.600209Z","submitted_at":"2025-03-20T16:56:06Z","title":"Optimal Complexity in Byzantine-Robust Distributed Stochastic Optimization with Data Heterogeneity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.16337","snapshot_observed_at":"2026-08-07T04:57:00.408648Z","title":"Optimal complexity in Byzantine-robust distributed stochastic optimization with data hetero- geneity,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.09438","last_updated":"2025-06-11T06:44:34Z","snapshot_observed_at":"2026-08-07T04:45:48.372591Z","submitted_at":"2025-06-11T06:44:34Z","title":"Generalization Error Analysis for Attack-Free and Byzantine-Resilient Decentralized Learning with Data Heterogeneity","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T04:57:00.408648Z"},"links":{"cited_paper":"/paper/2503.16337","citing_paper":"/paper/2506.09438"},"observation_digest":"sha256:f536420294e75d8ecfeafad35102dcc7769d56383a99076077324489eff544a5","observation_id":"4280eb54-e6d2-4def-aba7-d96a1fa3d10f","resolution":{"observed_at":"2026-08-07T04:57:00.408648Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.16337","last_updated":"2025-03-20T16:56:06Z","snapshot_observed_at":"2026-08-07T16:48:34.600209Z","submitted_at":"2025-03-20T16:56:06Z","title":"Optimal Complexity in Byzantine-Robust Distributed Stochastic Optimization with Data Heterogeneity","version":1},"cited_work":{"arxiv_id":"2503.16337","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.16337","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2503.16337 , year=","venue":null,"work_id":"0dabd57b-3055-4cc1-91a7-7a334657c057","year":null},"citing_paper":{"arxiv_id":"2605.09337","last_updated":"2026-05-10T05:24:02Z","snapshot_observed_at":"2026-08-02T15:50:32.604234Z","submitted_at":"2026-05-10T05:24:02Z","title":"Adversary-Robust Learning from Fully Asynchronous Directional Derivative Estimates","version":1},"reference_index":171,"source":"arxiv_source","source_observed_at":"2026-05-12T04:27:35.605021Z"},"links":{"cited_paper":"/paper/2503.16337","citing_paper":"/paper/2605.09337"},"observation_digest":"sha256:a7383aa7ba4d5006a05acabf000e2f34c9723aa2d6bde6480398f1058f8e5c23","observation_id":"91a40f67-5b5f-45f9-80d6-0122d8bbeeea","resolution":{"observed_at":"2026-05-12T06:16:25.875458Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2503.16337/citation-record","integrity":"/paper/2503.16337/integrity","json":"/paper/2503.16337/citation-record.json","paper":"/paper/2503.16337"},"outbound":[],"paper":{"arxiv_id":"2503.16337","last_updated":"2025-03-20T16:56:06Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-07T16:48:34.600209Z","submitted_at":"2025-03-20T16:56:06Z","title":"Optimal Complexity in Byzantine-Robust Distributed Stochastic Optimization with Data Heterogeneity"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2503.16337."}