{"as_of":"2026-08-11T07:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7083047d9c0d58f46550f3870256a5073322a7a8e6d64be634323085eb277df6","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":"2026-08-11T06:34:44.6726+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":"2026-05-15T13:34:42.536024Z","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":"2026-05-15T13:35:51.594098Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1802.05155","last_updated":"2021-03-06T20:32:04Z","snapshot_observed_at":"2026-08-09T08:51:33.712093Z","submitted_at":"2018-02-14T15:26:59Z","title":"A Diffusion Approximation Theory of Momentum SGD in Nonconvex Optimization","version":5},"cited_work":{"arxiv_id":"1802.05155","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1802.05155","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A diffusion approximation theory of momentum SGD in nonconvex optimization","venue":null,"work_id":"475eb013-f3f3-472b-8a6a-37f14da33f11","year":2018},"citing_paper":{"arxiv_id":"2603.09355","last_updated":"2026-03-10T08:35:53Z","snapshot_observed_at":"2026-08-11T02:27:16.043045Z","submitted_at":"2026-03-10T08:35:53Z","title":"SHANG++: Robust Stochastic Acceleration under Multiplicative Noise","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-15T13:34:42.536024Z"},"links":{"cited_paper":"/paper/1802.05155","citing_paper":"/paper/2603.09355"},"observation_digest":"sha256:17987a09988508e8f6daec0fcb1c59034f9c82f09a247c62b413376dde9fe58f","observation_id":"82a52fc7-d6b0-480f-8184-27685bec73b7","resolution":{"observed_at":"2026-05-15T13:35:51.597934Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.05155","last_updated":"2021-03-06T20:32:04Z","snapshot_observed_at":"2026-08-09T08:51:33.712093Z","submitted_at":"2018-02-14T15:26:59Z","title":"A Diffusion Approximation Theory of Momentum SGD in Nonconvex Optimization","version":5},"cited_work":{"arxiv_id":"1802.05155","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1802.05155","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A diffusion approximation theory of momentum SGD in nonconvex optimization","venue":null,"work_id":"475eb013-f3f3-472b-8a6a-37f14da33f11","year":2018},"citing_paper":{"arxiv_id":"2604.14108","last_updated":"2026-04-15T17:28:46Z","snapshot_observed_at":"2026-07-06T23:02:00.082783Z","submitted_at":"2026-04-15T17:28:46Z","title":"Momentum Further Constrains Sharpness at the Edge of Stochastic Stability","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-05-10T13:12:58.210967Z"},"links":{"cited_paper":"/paper/1802.05155","citing_paper":"/paper/2604.14108"},"observation_digest":"sha256:387f1adc7e1e35d34edca0e512699939075829cdd4b58874d0f69e5da0fef99b","observation_id":"1e5f7208-362c-46b7-874f-f9dd4a59b8a5","resolution":{"observed_at":"2026-05-10T13:20:26.413129Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1802.05155/citation-record","integrity":"/paper/1802.05155/integrity","json":"/paper/1802.05155/citation-record.json","paper":"/paper/1802.05155"},"outbound":[],"paper":{"arxiv_id":"1802.05155","last_updated":"2021-03-06T20:32:04Z","latest_version":5,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-09T08:51:33.712093Z","submitted_at":"2018-02-14T15:26:59Z","title":"A Diffusion Approximation Theory of Momentum SGD in 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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1802.05155."}