{"as_of":"2026-08-13T22:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fd2c812b052221c01c303c1a0469f8b3215f93c0bb1dc1899b2791de7b41917d","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":"2026-08-13T06:32:02.005865+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":"2026-08-12T21:52:57.377424Z","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":"2026-05-20T01:42:56.779058Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.08212","last_updated":"2024-12-07T00:43:45Z","snapshot_observed_at":"2026-08-13T00:55:33.354946Z","submitted_at":"2024-03-13T03:21:37Z","title":"On the structure of W-algebras in type A","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.08212","snapshot_observed_at":"2026-08-12T21:52:57.377424Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2411.08406","last_updated":"2025-05-17T07:06:53Z","snapshot_observed_at":"2026-08-12T21:35:34.646951Z","submitted_at":"2024-11-13T07:48:42Z","title":"On Kazama-Suzuki Duality between $\\mathcal{W}_k(\\mathfrak{sl}_4, f_{\\rm sub})$ and $N=2$ Superconformal Vertex Algebra","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T21:52:57.377424Z"},"links":{"cited_paper":"/paper/2403.08212","citing_paper":"/paper/2411.08406"},"observation_digest":"sha256:effd30dc0520901f8aa7b08400bb75365266433604062ed1532554bb3731f250","observation_id":"73831241-307a-4084-ad85-2784904f907b","resolution":{"observed_at":"2026-08-12T21:52:57.377424Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.08212","last_updated":"2024-12-07T00:43:45Z","snapshot_observed_at":"2026-08-13T00:55:33.354946Z","submitted_at":"2024-03-13T03:21:37Z","title":"On the structure of W-algebras in type A","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.08212","snapshot_observed_at":"2026-08-12T19:30:30.834180Z","title":"Creutzig, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.10694","last_updated":"2025-02-24T23:50:00Z","snapshot_observed_at":"2026-08-12T19:22:55.225593Z","submitted_at":"2024-11-16T04:14:18Z","title":"On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\\infty$-algebras","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T19:30:30.834180Z"},"links":{"cited_paper":"/paper/2403.08212","citing_paper":"/paper/2411.10694"},"observation_digest":"sha256:f7ca039155d3d888991d5383a1a49355c82ccaa85107b45dfdd76b8e99c91b08","observation_id":"cde171f4-24d0-4191-a20f-4e54291c2830","resolution":{"observed_at":"2026-08-12T19:30:30.834180Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.08212","last_updated":"2024-12-07T00:43:45Z","snapshot_observed_at":"2026-08-13T00:55:33.354946Z","submitted_at":"2024-03-13T03:21:37Z","title":"On the structure of W-algebras in type A","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.08212","snapshot_observed_at":"2026-08-10T21:39:44.275898Z","title":"On the structure of W -algebras in type A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.04501","last_updated":"2025-01-08T13:41:12Z","snapshot_observed_at":"2026-08-10T21:28:47.966217Z","submitted_at":"2025-01-08T13:41:12Z","title":"Reduction by stages for affine W-algebras","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-10T21:39:44.275898Z"},"links":{"cited_paper":"/paper/2403.08212","citing_paper":"/paper/2501.04501"},"observation_digest":"sha256:ae53ffe09a415417b717be5125bbd2b551be42d90208cd1a52c05ddd58b33ac5","observation_id":"6a86d89f-106a-43dc-a7e9-aed72b448599","resolution":{"observed_at":"2026-08-10T21:39:44.275898Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.08212","last_updated":"2024-12-07T00:43:45Z","snapshot_observed_at":"2026-08-13T00:55:33.354946Z","submitted_at":"2024-03-13T03:21:37Z","title":"On the structure of W-algebras in type A","version":2},"cited_work":{"arxiv_id":"2403.08212","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.08212","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"On the structure of W-algebras in type A.Jpn","venue":null,"work_id":"811ee459-28d8-4640-b5e7-52b1013b2675","year":2025},"citing_paper":{"arxiv_id":"2605.19708","last_updated":"2026-05-19T11:46:08Z","snapshot_observed_at":"2026-07-06T23:30:25.609722Z","submitted_at":"2026-05-19T11:46:08Z","title":"Reduction and inverse-reduction functors I: standard $\\mathsf{V^k}(\\mathfrak{sl}_2)$-modules","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-20T01:41:59.592850Z"},"links":{"cited_paper":"/paper/2403.08212","citing_paper":"/paper/2605.19708"},"observation_digest":"sha256:87ee98ae7084dc90ce2bf5b66fcd740f1d72e1096e163025b3dbdd421fd06c18","observation_id":"a9f00b59-272a-4fc9-8e13-5c81b9e3cb6f","resolution":{"observed_at":"2026-05-20T01:42:56.782034Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2403.08212/citation-record","integrity":"/paper/2403.08212/integrity","json":"/paper/2403.08212/citation-record.json","paper":"/paper/2403.08212"},"outbound":[],"paper":{"arxiv_id":"2403.08212","last_updated":"2024-12-07T00:43:45Z","latest_version":2,"primary_category":"math.RT","snapshot_observed_at":"2026-08-13T00:55:33.354946Z","submitted_at":"2024-03-13T03:21:37Z","title":"On the structure of W-algebras in type A"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2403.08212."}