{"as_of":"2026-08-08T06:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:393b862568a96c32e9e813dbdf7dfc9bf64c07cc7ccbc9f338d98866c0712589","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":"2026-08-07T06:34:17.273281+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":"2026-08-02T21:36:30.903810Z","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":"2026-05-24T11:29:24.648440Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2103.01931","last_updated":"2021-07-13T14:03:58Z","snapshot_observed_at":"2026-08-07T03:42:02.790605Z","submitted_at":"2021-03-02T18:43:10Z","title":"Categorical Foundations of Gradient-Based Learning","version":2},"cited_work":{"arxiv_id":"2103.01931","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2103.01931","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Categorical Foundations of Gradient-Based Learning","venue":null,"work_id":"140ab2d4-c7b9-4db7-aad9-63b5f24a3250","year":2021},"citing_paper":{"arxiv_id":"2207.09180","last_updated":"2026-04-07T00:09:45Z","snapshot_observed_at":"2026-07-06T13:32:53.845339Z","submitted_at":"2022-07-19T10:38:55Z","title":"Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T11:29:07.697885Z"},"links":{"cited_paper":"/paper/2103.01931","citing_paper":"/paper/2207.09180"},"observation_digest":"sha256:52306d11fbed9aef143b3ffc3ecbfbb216903115f1007d47e9da0c86d5dc5b24","observation_id":"dcdecb6c-4761-4024-8e1c-805062181cef","resolution":{"observed_at":"2026-05-24T11:29:24.651516Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.01931","last_updated":"2021-07-13T14:03:58Z","snapshot_observed_at":"2026-08-07T03:42:02.790605Z","submitted_at":"2021-03-02T18:43:10Z","title":"Categorical Foundations of Gradient-Based Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.01931","snapshot_observed_at":"2026-08-02T21:36:30.903810Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2602.19776","last_updated":"2026-07-28T15:48:12Z","snapshot_observed_at":"2026-08-07T16:45:56.692775Z","submitted_at":"2026-02-23T12:31:15Z","title":"Layered Monoidal Theories I: Diagrammatic Algebra and Applications","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T21:36:30.903810Z"},"links":{"cited_paper":"/paper/2103.01931","citing_paper":"/paper/2602.19776"},"observation_digest":"sha256:0077043272177ae79520c9cf328133a549ce35aa853374b3644bfd11851574d4","observation_id":"2852aeac-7c10-478a-84af-17fc936a2f42","resolution":{"observed_at":"2026-08-02T21:36:30.903810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2103.01931/citation-record","integrity":"/paper/2103.01931/integrity","json":"/paper/2103.01931/citation-record.json","paper":"/paper/2103.01931"},"outbound":[],"paper":{"arxiv_id":"2103.01931","last_updated":"2021-07-13T14:03:58Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T03:42:02.790605Z","submitted_at":"2021-03-02T18:43:10Z","title":"Categorical Foundations of Gradient-Based Learning"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2103.01931."}