{"as_of":"2026-08-14T15:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1bc5248ff5a8050af18ef61ac9b5f8894e072e703182678f90e31780a2dee6b3","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":"2026-08-14T06:32:32.682623+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":"2026-08-12T11:03:34.933178Z","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":"2026-08-11T18:24:51.657045Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2302.08982","last_updated":"2023-10-25T16:09:19Z","snapshot_observed_at":"2026-08-13T12:42:39.113417Z","submitted_at":"2023-02-17T16:37:08Z","title":"(S)GD over Diagonal Linear Networks: Implicit Regularisation, Large Stepsizes and Edge of Stability","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.08982","snapshot_observed_at":"2026-08-12T11:03:34.933178Z","title":"(s) gd over diagonal linear networks: Implicit regularisation, large stepsizes and edge of stability.arXiv preprint arXiv:2302.08982,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.18704","last_updated":"2024-11-27T19:14:27Z","snapshot_observed_at":"2026-08-12T10:55:48.156266Z","submitted_at":"2024-11-27T19:14:27Z","title":"Exponential Moving Average of Weights in Deep Learning: Dynamics and Benefits","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:34.933178Z"},"links":{"cited_paper":"/paper/2302.08982","citing_paper":"/paper/2411.18704"},"observation_digest":"sha256:e91776f99f9e7102ee4c511f5dbf19aeba0af15dfd4671ae1c275e4f96802ddb","observation_id":"c2996714-5054-48d2-adb1-05deeadd0cae","resolution":{"observed_at":"2026-08-12T11:03:34.933178Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08982","last_updated":"2023-10-25T16:09:19Z","snapshot_observed_at":"2026-08-13T12:42:39.113417Z","submitted_at":"2023-02-17T16:37:08Z","title":"(S)GD over Diagonal Linear Networks: Implicit Regularisation, Large Stepsizes and Edge of Stability","version":2},"cited_work":{"arxiv_id":"2302.08982","doi":null,"metadata_source":"pith","pith_arxiv_id":"2302.08982","snapshot_observed_at":"2026-08-11T18:24:51.657045Z","title":"(S)GD over Diagonal Linear Networks: Implicit Regularisation, Large Stepsizes and Edge of Stability","venue":"cs.LG","work_id":"597b6245-bda0-4a2f-8a6b-d7c5fc4a827b","year":2023},"citing_paper":{"arxiv_id":"2412.08025","last_updated":"2024-12-11T02:07:37Z","snapshot_observed_at":"2026-08-14T13:48:28.106462Z","submitted_at":"2024-12-11T02:07:37Z","title":"Criteria and Bias of Parameterized Linear Regression under Edge of Stability Regime","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T18:24:51.203973Z"},"links":{"cited_paper":"/paper/2302.08982","citing_paper":"/paper/2412.08025"},"observation_digest":"sha256:2b4c55f85642be31e68b5e49fd6e6e9a16093b9aa5aeff4294a6e5b4ea76e9e8","observation_id":"ed4f646d-e280-46be-bd75-a89bcce84557","resolution":{"observed_at":"2026-08-11T18:24:51.662471Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2302.08982/citation-record","integrity":"/paper/2302.08982/integrity","json":"/paper/2302.08982/citation-record.json","paper":"/paper/2302.08982"},"outbound":[],"paper":{"arxiv_id":"2302.08982","last_updated":"2023-10-25T16:09:19Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-13T12:42:39.113417Z","submitted_at":"2023-02-17T16:37:08Z","title":"(S)GD over Diagonal Linear Networks: Implicit Regularisation, Large Stepsizes and Edge of Stability"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2302.08982."}