{"as_of":"2026-08-10T21:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:017f269bb5331cb2a5a4914314767d80caff9bb6b6f74cb209c7bb113882aad2","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":"2026-08-10T06:31:04.303077+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":"2026-08-07T10:58:29.655629Z","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":"2026-05-11T19:21:07.596433Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2305.13187","last_updated":"2023-05-22T16:14:53Z","snapshot_observed_at":"2026-07-06T15:30:45.921201Z","submitted_at":"2023-05-22T16:14:53Z","title":"SignSVRG: fixing SignSGD via variance reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.13187","snapshot_observed_at":"2026-08-07T10:58:29.655629Z","title":"Signsvrg: fixing signsgd via variance reduction, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.04192","last_updated":"2026-07-24T19:09:15Z","snapshot_observed_at":"2026-08-07T10:43:49.592801Z","submitted_at":"2025-06-04T17:39:03Z","title":"Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise","version":3},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T10:58:29.655629Z"},"links":{"cited_paper":"/paper/2305.13187","citing_paper":"/paper/2506.04192"},"observation_digest":"sha256:723c365cd6709fb5a2775de64077f6f0d36ba264484b1b8ee15a60bb187eb240","observation_id":"b9aee09e-0781-4113-a3ad-1f69383107dd","resolution":{"observed_at":"2026-08-07T10:58:29.655629Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.13187","last_updated":"2023-05-22T16:14:53Z","snapshot_observed_at":"2026-07-06T15:30:45.921201Z","submitted_at":"2023-05-22T16:14:53Z","title":"SignSVRG: fixing SignSGD via variance reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.13187","snapshot_observed_at":"2026-08-06T17:13:43.470108Z","title":"Chzhen and S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.12091","last_updated":"2025-07-16T09:54:08Z","snapshot_observed_at":"2026-08-09T00:59:12.919541Z","submitted_at":"2025-07-16T09:54:08Z","title":"Improved Analysis for Sign-based Methods with Momentum Updates","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T17:13:43.470108Z"},"links":{"cited_paper":"/paper/2305.13187","citing_paper":"/paper/2507.12091"},"observation_digest":"sha256:9f6a5ad7bbecc0d02a1b6c321d9326f29465410ad5f8de269b667a137228e7c2","observation_id":"a9f03b78-69c0-412f-a230-55b97968f537","resolution":{"observed_at":"2026-08-06T17:13:43.470108Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.13187","last_updated":"2023-05-22T16:14:53Z","snapshot_observed_at":"2026-07-06T15:30:45.921201Z","submitted_at":"2023-05-22T16:14:53Z","title":"SignSVRG: fixing SignSGD via variance reduction","version":1},"cited_work":{"arxiv_id":"2305.13187","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.13187","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"SignSVRG: fixing SignSGD via variance reduction.arXiv preprint arXiv:2305.13187","venue":null,"work_id":"86763de5-dc84-4fcc-81c9-0c39fac1e029","year":null},"citing_paper":{"arxiv_id":"2604.15416","last_updated":"2026-04-16T17:55:36Z","snapshot_observed_at":"2026-07-06T23:02:58.361418Z","submitted_at":"2026-04-16T17:55:36Z","title":"StoSignSGD: Unbiased Structural Stochasticity Fixes SignSGD for Training Large Language Models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T12:10:44.802059Z"},"links":{"cited_paper":"/paper/2305.13187","citing_paper":"/paper/2604.15416"},"observation_digest":"sha256:32e7d052ca489ef2fd39465dae214f11314733fad658edbfd102deb7be1cd2f0","observation_id":"90e18c3b-9126-418c-83a0-2239438c2d94","resolution":{"observed_at":"2026-05-10T12:15:22.252563Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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":"2305.13187","last_updated":"2023-05-22T16:14:53Z","snapshot_observed_at":"2026-07-06T15:30:45.921201Z","submitted_at":"2023-05-22T16:14:53Z","title":"SignSVRG: fixing SignSGD via variance reduction","version":1},"cited_work":{"arxiv_id":"2305.13187","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.13187","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"SignSVRG: fixing SignSGD via variance reduction.arXiv preprint arXiv:2305.13187","venue":null,"work_id":"86763de5-dc84-4fcc-81c9-0c39fac1e029","year":null},"citing_paper":{"arxiv_id":"2605.06615","last_updated":"2026-05-07T17:32:09Z","snapshot_observed_at":"2026-07-06T23:19:05.764765Z","submitted_at":"2026-05-07T17:32:09Z","title":"When and Why SignSGD Outperforms SGD: A Theoretical Study Based on $\\ell_1$-norm Lower Bounds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-08T12:14:28.866499Z"},"links":{"cited_paper":"/paper/2305.13187","citing_paper":"/paper/2605.06615"},"observation_digest":"sha256:276a4048f1a3035110c16fc43e2287c4c2af0556fdfe703b29ad024b4c9d9bba","observation_id":"e0bdf864-9f2e-4c0c-a6be-c520ca9efa4f","resolution":{"observed_at":"2026-05-11T19:21:07.598827Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2305.13187/citation-record","integrity":"/paper/2305.13187/integrity","json":"/paper/2305.13187/citation-record.json","paper":"/paper/2305.13187"},"outbound":[],"paper":{"arxiv_id":"2305.13187","last_updated":"2023-05-22T16:14:53Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-07-06T15:30:45.921201Z","submitted_at":"2023-05-22T16:14:53Z","title":"SignSVRG: fixing SignSGD via variance reduction"},"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 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2305.13187."}