{"as_of":"2026-08-16T08:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:54a61f5c944e3bfa43157134402e32befd94c6948134354662c5c87ede4521d1","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":"2026-08-16T06:30:59.297886+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":"2026-08-10T22:05:54.479790Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-04T08:49:42.808683Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1805.01916","last_updated":"2018-05-04T19:13:56Z","snapshot_observed_at":"2026-08-14T19:18:39.904879Z","submitted_at":"2018-05-04T19:13:56Z","title":"Analysis of nonsmooth stochastic approximation: the differential inclusion approach","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.01916","snapshot_observed_at":"2026-08-10T22:05:54.479790Z","title":"Majewski, B","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.03224","last_updated":"2025-01-06T18:57:27Z","snapshot_observed_at":"2026-08-15T17:56:52.115149Z","submitted_at":"2025-01-06T18:57:27Z","title":"Testing Approximate Stationarity Concepts for Piecewise Affine Functions","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T22:05:54.479790Z"},"links":{"cited_paper":"/paper/1805.01916","citing_paper":"/paper/2501.03224"},"observation_digest":"sha256:b5ea3655f7d86ee8a93a76c40865bc0ce6efb549516eee9f3fe5d38af2e738a8","observation_id":"8cc01f40-831e-46bc-8039-7f1928b72c0b","resolution":{"observed_at":"2026-08-10T22:05:54.479790Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.01916","last_updated":"2018-05-04T19:13:56Z","snapshot_observed_at":"2026-08-14T19:18:39.904879Z","submitted_at":"2018-05-04T19:13:56Z","title":"Analysis of nonsmooth stochastic approximation: the differential inclusion approach","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.01916","snapshot_observed_at":"2026-08-10T20:38:33.231931Z","title":"Majewski, B","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.08256","last_updated":"2025-01-14T17:04:20Z","snapshot_observed_at":"2026-08-14T04:58:34.085069Z","submitted_at":"2025-01-14T17:04:20Z","title":"Convergence of projected stochastic approximation algorithm","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T20:38:33.231931Z"},"links":{"cited_paper":"/paper/1805.01916","citing_paper":"/paper/2501.08256"},"observation_digest":"sha256:1d8800313950ea57881b8bdbf77a8b9337308d44d53f23650e240be240dcda60","observation_id":"7fd18595-81f5-4f16-b2d8-9d3b8f2eba4d","resolution":{"observed_at":"2026-08-10T20:38:33.231931Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.01916","last_updated":"2018-05-04T19:13:56Z","snapshot_observed_at":"2026-08-14T19:18:39.904879Z","submitted_at":"2018-05-04T19:13:56Z","title":"Analysis of nonsmooth stochastic approximation: the differential inclusion approach","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.01916","snapshot_observed_at":"2026-08-08T18:38:56.850571Z","title":"Analysis of nonsmooth stochastic approximation: the differential inclusion approach","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2502.05668","last_updated":"2025-07-17T11:44:07Z","snapshot_observed_at":"2026-08-15T17:21:13.334439Z","submitted_at":"2025-02-08T19:09:16Z","title":"The late-stage training dynamics of (stochastic) subgradient descent on homogeneous neural networks","version":3},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-08T18:38:56.850571Z"},"links":{"cited_paper":"/paper/1805.01916","citing_paper":"/paper/2502.05668"},"observation_digest":"sha256:dc4a6b35bb81d58b6932e8f5bd4a51b999725f0856c56411b73728d8d144dc5e","observation_id":"9210eff0-c4be-4ea7-aafc-ed763dc729b8","resolution":{"observed_at":"2026-08-08T18:38:56.850571Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.01916","last_updated":"2018-05-04T19:13:56Z","snapshot_observed_at":"2026-08-14T19:18:39.904879Z","submitted_at":"2018-05-04T19:13:56Z","title":"Analysis of nonsmooth stochastic approximation: the differential inclusion approach","version":1},"cited_work":{"arxiv_id":"1805.01916","doi":null,"metadata_source":"pith","pith_arxiv_id":"1805.01916","snapshot_observed_at":"2026-07-04T08:49:42.808683Z","title":"Analysis of nonsmooth stochastic approximation: the differential inclusion approach","venue":"math.OC","work_id":"ea5ef3ef-3010-4926-aae0-c242fbaaf7f9","year":2018},"citing_paper":{"arxiv_id":"2606.22579","last_updated":"2026-06-21T16:29:25Z","snapshot_observed_at":"2026-08-02T07:11:59.062207Z","submitted_at":"2026-06-21T16:29:25Z","title":"Stationary Robust Mean-Field Games under Model Mismatches","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-06-26T10:50:40.841967Z"},"links":{"cited_paper":"/paper/1805.01916","citing_paper":"/paper/2606.22579"},"observation_digest":"sha256:cc2e25370f0943e8d846e0e9453a325a5f2a27043ff230c8ccc18129eb0ff087","observation_id":"da3615fb-35ae-4063-97d4-e1516022113d","resolution":{"observed_at":"2026-07-04T08:49:42.809842Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1805.01916/citation-record","integrity":"/paper/1805.01916/integrity","json":"/paper/1805.01916/citation-record.json","paper":"/paper/1805.01916"},"outbound":[],"paper":{"arxiv_id":"1805.01916","last_updated":"2018-05-04T19:13:56Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-14T19:18:39.904879Z","submitted_at":"2018-05-04T19:13:56Z","title":"Analysis of nonsmooth stochastic approximation: the differential inclusion approach"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1805.01916."}