{"as_of":"2026-08-18T06:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:136655a1f159fa3686c2b42c7b0b8598130e8fa352d1558b3685c53b3165c1a4","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":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T21:46:12.592496Z","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":"2026-05-21T05:49:40.534528Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2008.09055","last_updated":"2020-08-20T16:15:12Z","snapshot_observed_at":"2026-08-18T01:31:01.945009Z","submitted_at":"2020-08-20T16:15:12Z","title":"An Optimal Hybrid Variance-Reduced Algorithm for Stochastic Composite Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.09055","snapshot_observed_at":"2026-08-15T21:46:12.592496Z","title":"An optimal hybri d variance- reduced algorithm for stochastic composite nonconvex opti mization,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2505.09146","last_updated":"2025-05-14T05:04:49Z","snapshot_observed_at":"2026-08-15T21:36:23.243306Z","submitted_at":"2025-05-14T05:04:49Z","title":"Optimization via First-Order Switching Methods: Skew-Symmetric Dynamics and Optimistic Discretization","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T21:46:12.592496Z"},"links":{"cited_paper":"/paper/2008.09055","citing_paper":"/paper/2505.09146"},"observation_digest":"sha256:672bcbdaa565ac130b24335c6d5987530190e68f7575b1e58e68c82dd91bbd0c","observation_id":"ee6ce953-c2b4-4e71-a39d-16aac5e69899","resolution":{"observed_at":"2026-08-15T21:46:12.592496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.09055","last_updated":"2020-08-20T16:15:12Z","snapshot_observed_at":"2026-08-18T01:31:01.945009Z","submitted_at":"2020-08-20T16:15:12Z","title":"An Optimal Hybrid Variance-Reduced Algorithm for Stochastic Composite Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.09055","snapshot_observed_at":"2026-08-15T16:48:59.045960Z","title":"An optimal hybrid variance-reduced algorithm for stochastic composite non- convex optimization","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2508.20645","last_updated":"2025-08-28T10:47:18Z","snapshot_observed_at":"2026-08-15T16:39:54.809263Z","submitted_at":"2025-08-28T10:47:18Z","title":"A Hybrid Stochastic Gradient Tracking Method for Distributed Online Optimization Over Time-Varying Directed Networks","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T16:48:59.045960Z"},"links":{"cited_paper":"/paper/2008.09055","citing_paper":"/paper/2508.20645"},"observation_digest":"sha256:7d59e9a629324588d068b4d743d90d5f4416dd65fa5a001d6a1286e86308654f","observation_id":"ce89afc4-b519-4988-bb50-28fe55b331dd","resolution":{"observed_at":"2026-08-15T16:48:59.045960Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.09055","last_updated":"2020-08-20T16:15:12Z","snapshot_observed_at":"2026-08-18T01:31:01.945009Z","submitted_at":"2020-08-20T16:15:12Z","title":"An Optimal Hybrid Variance-Reduced Algorithm for Stochastic Composite Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":"2008.09055","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.09055","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2008.09055 , year=","venue":null,"work_id":"e7d8e9b9-b97a-4c0f-9e80-01ff2523b984","year":2008},"citing_paper":{"arxiv_id":"2605.07795","last_updated":"2026-05-08T14:32:41Z","snapshot_observed_at":"2026-08-13T15:10:40.244698Z","submitted_at":"2026-05-08T14:32:41Z","title":"Scalable Distributed Stochastic Optimization via Bidirectional Compression: Beyond Pessimistic Limits","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-05-11T02:52:53.588595Z"},"links":{"cited_paper":"/paper/2008.09055","citing_paper":"/paper/2605.07795"},"observation_digest":"sha256:954e011eac3be9a571093a5183f5f088bc44b1df913f396203b4fa2e6f690d0d","observation_id":"5e6fee34-b192-4469-b748-536b8b5e1c15","resolution":{"observed_at":"2026-05-11T03:05:54.649483Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.09055","last_updated":"2020-08-20T16:15:12Z","snapshot_observed_at":"2026-08-18T01:31:01.945009Z","submitted_at":"2020-08-20T16:15:12Z","title":"An Optimal Hybrid Variance-Reduced Algorithm for Stochastic Composite Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":"2008.09055","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.09055","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2008.09055 , year=","venue":null,"work_id":"e7d8e9b9-b97a-4c0f-9e80-01ff2523b984","year":2008},"citing_paper":{"arxiv_id":"2605.08871","last_updated":"2026-05-09T10:46:59Z","snapshot_observed_at":"2026-08-11T12:27:08.580370Z","submitted_at":"2026-05-09T10:46:59Z","title":"Rennala MVR: Improved Time Complexity for Parallel Stochastic Optimization via Momentum-Based Variance Reduction","version":1},"reference_index":148,"source":"arxiv_source","source_observed_at":"2026-05-12T01:51:20.003552Z"},"links":{"cited_paper":"/paper/2008.09055","citing_paper":"/paper/2605.08871"},"observation_digest":"sha256:fc7dcadc72685621d3b1b1e53a3a8fb7e1c1f345f5018273f49f0b70f108a2e0","observation_id":"438d33a9-bc5c-43ba-8976-1bfbe9169358","resolution":{"observed_at":"2026-05-12T07:51:34.437358Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.09055","last_updated":"2020-08-20T16:15:12Z","snapshot_observed_at":"2026-08-18T01:31:01.945009Z","submitted_at":"2020-08-20T16:15:12Z","title":"An Optimal Hybrid Variance-Reduced Algorithm for Stochastic Composite Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":"2008.09055","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.09055","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2008.09055 , year=","venue":null,"work_id":"e7d8e9b9-b97a-4c0f-9e80-01ff2523b984","year":2008},"citing_paper":{"arxiv_id":"2605.15388","last_updated":"2026-05-14T20:17:10Z","snapshot_observed_at":"2026-08-15T07:55:25.811716Z","submitted_at":"2026-05-14T20:17:10Z","title":"Unified High-Probability Analysis of Stochastic Variance-Reduced Estimation","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-05-19T16:38:44.673974Z"},"links":{"cited_paper":"/paper/2008.09055","citing_paper":"/paper/2605.15388"},"observation_digest":"sha256:391af1d3d5381e686ac6ac4f42fc30e4b3d2de13ae929ec7739288a77e4dc0ea","observation_id":"0a70a9d0-1388-46d1-9f46-26c775cb9518","resolution":{"observed_at":"2026-05-19T16:42:39.877729Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.09055","last_updated":"2020-08-20T16:15:12Z","snapshot_observed_at":"2026-08-18T01:31:01.945009Z","submitted_at":"2020-08-20T16:15:12Z","title":"An Optimal Hybrid Variance-Reduced Algorithm for Stochastic Composite Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":"2008.09055","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.09055","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2008.09055 , year=","venue":null,"work_id":"e7d8e9b9-b97a-4c0f-9e80-01ff2523b984","year":2008},"citing_paper":{"arxiv_id":"2605.18174","last_updated":"2026-05-18T10:18:02Z","snapshot_observed_at":"2026-08-15T08:55:48.785673Z","submitted_at":"2026-05-18T10:18:02Z","title":"Ringmaster LMO: Asynchronous Linear Minimization Oracle Momentum Method","version":1},"reference_index":150,"source":"arxiv_source","source_observed_at":"2026-05-20T13:08:52.912250Z"},"links":{"cited_paper":"/paper/2008.09055","citing_paper":"/paper/2605.18174"},"observation_digest":"sha256:800b740fc410b4ea6cd56280fef5efa89cecd14eee522372a70be009b9911d95","observation_id":"af57c951-b002-4bc8-9a44-8f26c0c92e59","resolution":{"observed_at":"2026-05-20T13:13:18.643638Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.09055","last_updated":"2020-08-20T16:15:12Z","snapshot_observed_at":"2026-08-18T01:31:01.945009Z","submitted_at":"2020-08-20T16:15:12Z","title":"An Optimal Hybrid Variance-Reduced Algorithm for Stochastic Composite Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":"2008.09055","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.09055","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2008.09055 , year=","venue":null,"work_id":"e7d8e9b9-b97a-4c0f-9e80-01ff2523b984","year":2008},"citing_paper":{"arxiv_id":"2605.20866","last_updated":"2026-05-20T08:01:45Z","snapshot_observed_at":"2026-08-13T16:04:20.229116Z","submitted_at":"2026-05-20T08:01:45Z","title":"LOSCAR-SGD: Local SGD with Communication-Computation Overlap and Delay-Corrected Sparse Model Averaging","version":1},"reference_index":152,"source":"arxiv_source","source_observed_at":"2026-05-21T05:49:28.713982Z"},"links":{"cited_paper":"/paper/2008.09055","citing_paper":"/paper/2605.20866"},"observation_digest":"sha256:b45f34a5682840c7d92bedab2812927a875461fcf563e8eccc6852a607cd8c0a","observation_id":"5d37ef04-1e1f-46e6-a5d9-8ade103ff98c","resolution":{"observed_at":"2026-05-21T05:49:40.536368Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2008.09055/citation-record","integrity":"/paper/2008.09055/integrity","json":"/paper/2008.09055/citation-record.json","paper":"/paper/2008.09055"},"outbound":[],"paper":{"arxiv_id":"2008.09055","last_updated":"2020-08-20T16:15:12Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-18T01:31:01.945009Z","submitted_at":"2020-08-20T16:15:12Z","title":"An Optimal Hybrid Variance-Reduced Algorithm for Stochastic Composite Nonconvex Optimization"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2008.09055."}