{"as_of":"2026-08-09T06:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:88512a9afeb8cb4933b68506c5de48250dc959c0907b899383a9e5e1f3f17bb8","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T19:58:26.299922Z","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":"2026-05-11T15:21:09.060574Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1909.12051","last_updated":"2019-12-28T10:44:16Z","snapshot_observed_at":"2026-07-06T08:24:47.835194Z","submitted_at":"2019-09-26T12:38:41Z","title":"The Implicit Bias of Depth: How Incremental Learning Drives Generalization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.12051","snapshot_observed_at":"2026-08-08T19:58:26.299922Z","title":"The implicit bias of depth: How incremental learning drives generalization","venue":null,"work_id":null,"year":1909},"citing_paper":{"arxiv_id":"2502.05300","last_updated":"2025-05-23T17:22:54Z","snapshot_observed_at":"2026-08-09T04:49:29.861223Z","submitted_at":"2025-02-07T20:10:05Z","title":"Parameter Symmetry Potentially Unifies Deep Learning Theory","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T19:58:26.299922Z"},"links":{"cited_paper":"/paper/1909.12051","citing_paper":"/paper/2502.05300"},"observation_digest":"sha256:6fccc25d2990beaba0ff75d42b233283dda7353e6bbd9631038b89046f699598","observation_id":"ef9fc4a5-d2b6-44de-8c06-d9a67e185918","resolution":{"observed_at":"2026-08-08T19:58:26.299922Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.12051","last_updated":"2019-12-28T10:44:16Z","snapshot_observed_at":"2026-07-06T08:24:47.835194Z","submitted_at":"2019-09-26T12:38:41Z","title":"The Implicit Bias of Depth: How Incremental Learning Drives Generalization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.12051","snapshot_observed_at":"2026-08-06T20:35:44.758347Z","title":"The implicit bias of depth: How incremental learning drives generalization","venue":null,"work_id":null,"year":1909},"citing_paper":{"arxiv_id":"2507.02550","last_updated":"2025-07-03T11:49:56Z","snapshot_observed_at":"2026-08-06T20:24:01.502537Z","submitted_at":"2025-07-03T11:49:56Z","title":"Position: A Theory of Deep Learning Must Include Compositional Sparsity","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T20:35:44.758347Z"},"links":{"cited_paper":"/paper/1909.12051","citing_paper":"/paper/2507.02550"},"observation_digest":"sha256:7045c885835d75f03eeec9aa6995f2b41ccad2042b3d1649752f7c6e01f80f9b","observation_id":"8b518776-ef2f-4a79-b39f-86d15618409f","resolution":{"observed_at":"2026-08-06T20:35:44.758347Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.12051","last_updated":"2019-12-28T10:44:16Z","snapshot_observed_at":"2026-07-06T08:24:47.835194Z","submitted_at":"2019-09-26T12:38:41Z","title":"The Implicit Bias of Depth: How Incremental Learning Drives Generalization","version":2},"cited_work":{"arxiv_id":"1909.12051","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1909.12051","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:1909.12051 , year=","venue":null,"work_id":"b98c6f14-6bee-4560-b362-5d8009367183","year":1909},"citing_paper":{"arxiv_id":"2604.21691","last_updated":"2026-04-23T13:58:12Z","snapshot_observed_at":"2026-08-02T12:48:50.592713Z","submitted_at":"2026-04-23T13:58:12Z","title":"There Will Be a Scientific Theory of Deep Learning","version":1},"reference_index":137,"source":"arxiv_source","source_observed_at":"2026-05-09T20:11:17.616190Z"},"links":{"cited_paper":"/paper/1909.12051","citing_paper":"/paper/2604.21691"},"observation_digest":"sha256:4f39c85ac817cafb507e9fb78540cf0357f9f214e4de3a7c95c8e24a40ec1f32","observation_id":"e9a8786f-f306-45c5-8a7e-87fac2c99a3b","resolution":{"observed_at":"2026-05-11T15:21:09.063589Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1909.12051/citation-record","integrity":"/paper/1909.12051/integrity","json":"/paper/1909.12051/citation-record.json","paper":"/paper/1909.12051"},"outbound":[],"paper":{"arxiv_id":"1909.12051","last_updated":"2019-12-28T10:44:16Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T08:24:47.835194Z","submitted_at":"2019-09-26T12:38:41Z","title":"The Implicit Bias of Depth: How Incremental Learning Drives Generalization"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1909.12051."}