{"as_of":"2026-08-11T02:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1297a18e63cc492a45c6dbdcc1c79452acf5c12a4eabbfabc9b43e08bc3116d3","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T00:56:17.131086Z","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":"2026-06-29T20:13:58.896858Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2201.08518","last_updated":"2022-11-29T17:06:33Z","snapshot_observed_at":"2026-08-09T22:34:54.307319Z","submitted_at":"2022-01-21T02:46:57Z","title":"Optimal variance-reduced stochastic approximation in Banach spaces","version":2},"cited_work":{"arxiv_id":"2201.08518","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2201.08518","snapshot_observed_at":"2026-06-29T20:13:58.896858Z","title":"Opti- mal variance-reduced stochastic approximation in Banach spaces.arXiv preprint arXiv:2201.08518, 2022a","venue":null,"work_id":"14f9f4c6-afab-49d5-9e45-12c2d5ce58df","year":2022},"citing_paper":{"arxiv_id":"2401.03893","last_updated":"2026-04-12T15:32:16Z","snapshot_observed_at":"2026-07-06T17:12:47.723473Z","submitted_at":"2024-01-08T13:44:35Z","title":"Finite-Time Decoupled Convergence in Nonlinear Two-Time-Scale Stochastic Approximation","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T04:14:37.504082Z"},"links":{"cited_paper":"/paper/2201.08518","citing_paper":"/paper/2401.03893"},"observation_digest":"sha256:47a8cfc35030066530117f88e91d80288ada610b9cd709083aa785f79060a736","observation_id":"bb459c98-b3ad-4d34-ad97-46698242bf94","resolution":{"observed_at":"2026-05-24T04:15:59.844149Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.08518","last_updated":"2022-11-29T17:06:33Z","snapshot_observed_at":"2026-08-09T22:34:54.307319Z","submitted_at":"2022-01-21T02:46:57Z","title":"Optimal variance-reduced stochastic approximation in Banach spaces","version":2},"cited_work":{"arxiv_id":"2201.08518","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2201.08518","snapshot_observed_at":"2026-06-29T20:13:58.896858Z","title":"Opti- mal variance-reduced stochastic approximation in Banach spaces.arXiv preprint arXiv:2201.08518, 2022a","venue":null,"work_id":"14f9f4c6-afab-49d5-9e45-12c2d5ce58df","year":2022},"citing_paper":{"arxiv_id":"2605.20999","last_updated":"2026-05-20T10:38:08Z","snapshot_observed_at":"2026-07-06T23:31:32.577242Z","submitted_at":"2026-05-20T10:38:08Z","title":"Concentration of General Stochastic Approximation Under Heavy-Tailed Markovian Noise","version":1},"reference_index":98,"source":"arxiv_source","source_observed_at":"2026-05-21T02:27:24.989781Z"},"links":{"cited_paper":"/paper/2201.08518","citing_paper":"/paper/2605.20999"},"observation_digest":"sha256:e6c593909b3659775eed7da4f00e0d0250af06301cffff885e2abf96e2b8a586","observation_id":"898d782c-7645-4d36-a6dd-90fc79144c0c","resolution":{"observed_at":"2026-05-21T02:29:25.126103Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.08518","last_updated":"2022-11-29T17:06:33Z","snapshot_observed_at":"2026-08-09T22:34:54.307319Z","submitted_at":"2022-01-21T02:46:57Z","title":"Optimal variance-reduced stochastic approximation in Banach spaces","version":2},"cited_work":{"arxiv_id":"2201.08518","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2201.08518","snapshot_observed_at":"2026-06-29T20:13:58.896858Z","title":"Opti- mal variance-reduced stochastic approximation in Banach spaces.arXiv preprint arXiv:2201.08518, 2022a","venue":null,"work_id":"14f9f4c6-afab-49d5-9e45-12c2d5ce58df","year":2022},"citing_paper":{"arxiv_id":"2605.26000","last_updated":"2026-07-30T19:19:20Z","snapshot_observed_at":"2026-08-05T23:10:43.686263Z","submitted_at":"2026-05-25T16:18:39Z","title":"Statistical Inference for Stochastic Gradient Descent: Beyond Finite Variance","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-29T20:11:28.707205Z"},"links":{"cited_paper":"/paper/2201.08518","citing_paper":"/paper/2605.26000"},"observation_digest":"sha256:312716a568b20bd2053ec56ac0ffb55cc06cc0f8780c2902391cf3991810a55f","observation_id":"998a01ff-c65d-407d-9802-ab5a7cb3a46f","resolution":{"observed_at":"2026-06-29T20:13:58.898384Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.08518","last_updated":"2022-11-29T17:06:33Z","snapshot_observed_at":"2026-08-09T22:34:54.307319Z","submitted_at":"2022-01-21T02:46:57Z","title":"Optimal variance-reduced stochastic approximation in Banach spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.08518","snapshot_observed_at":"2026-08-03T00:56:17.131086Z","title":"Optimal variance-reduced stochastic approximation in banach spaces.arXiv preprint arXiv:2201.08518, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.26000","last_updated":"2026-07-30T19:19:20Z","snapshot_observed_at":"2026-08-05T23:10:43.686263Z","submitted_at":"2026-05-25T16:18:39Z","title":"Statistical Inference for Stochastic Gradient Descent: Beyond Finite Variance","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T00:56:17.131086Z"},"links":{"cited_paper":"/paper/2201.08518","citing_paper":"/paper/2605.26000"},"observation_digest":"sha256:e953b6681df9e499604413ee4928824c4363332f3ac1b419938e26737c6d9197","observation_id":"8b7a064a-bdde-4bab-be86-250bc2df2c08","resolution":{"observed_at":"2026-08-03T00:56:17.131086Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.08518","last_updated":"2022-11-29T17:06:33Z","snapshot_observed_at":"2026-08-09T22:34:54.307319Z","submitted_at":"2022-01-21T02:46:57Z","title":"Optimal variance-reduced stochastic approximation in Banach spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.08518","snapshot_observed_at":"2026-08-01T19:13:31.643696Z","title":"J., Bartlett, P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.17073","last_updated":"2026-07-19T04:41:17Z","snapshot_observed_at":"2026-08-09T16:47:26.051111Z","submitted_at":"2026-07-19T04:41:17Z","title":"Faithful Decoding","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-01T19:13:31.643696Z"},"links":{"cited_paper":"/paper/2201.08518","citing_paper":"/paper/2607.17073"},"observation_digest":"sha256:341f6cb652d3bb8626d626732a00e4f4dcee718603ef00def92258937fd58cd7","observation_id":"3c3a63c5-bb74-4450-9d33-836a66d0fdc1","resolution":{"observed_at":"2026-08-01T19:13:31.643696Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2201.08518/citation-record","integrity":"/paper/2201.08518/integrity","json":"/paper/2201.08518/citation-record.json","paper":"/paper/2201.08518"},"outbound":[],"paper":{"arxiv_id":"2201.08518","last_updated":"2022-11-29T17:06:33Z","latest_version":2,"primary_category":"math.ST","snapshot_observed_at":"2026-08-09T22:34:54.307319Z","submitted_at":"2022-01-21T02:46:57Z","title":"Optimal variance-reduced stochastic approximation in Banach spaces"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2201.08518."}