{"as_of":"2026-08-16T14:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:94767fb1de4c236c2898c2c6c754f2c6756447ed4d9759cb1d34e5d3598c1b35","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:45:29.844827Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.04738/citation-record","integrity":"/paper/1908.04738/integrity","json":"/paper/1908.04738/citation-record.json","paper":"/paper/1908.04738"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:45:29.818349Z","title":"Cambridge University Press, Cambridge, 1997","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"1908.04738","last_updated":"2023-10-27T08:03:27Z","snapshot_observed_at":"2026-08-14T13:31:27.012601Z","submitted_at":"2019-08-13T16:59:16Z","title":"On weakly Gorenstein algebras","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T13:45:29.818349Z"},"links":{"citing_paper":"/paper/1908.04738"},"observation_digest":"sha256:f2224c0ed4c9ab7a94885149508dfb623f9cbb97a7dc6ef8e39be30e23e23541","observation_id":"9024358f-9680-45f2-88ad-ceb077e29cbb","resolution":{"observed_at":"2026-08-14T13:45:29.818349Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.04587","last_updated":"2017-12-13T01:32:09Z","snapshot_observed_at":"2026-08-14T20:04:15.389996Z","submitted_at":"2017-12-13T01:32:09Z","title":"Gorenstein Homological Algebra of Artin Algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.04587","snapshot_observed_at":"2026-08-14T13:45:29.822823Z","title":"https://arxiv.org/abs/1712.04587","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.04738","last_updated":"2023-10-27T08:03:27Z","snapshot_observed_at":"2026-08-14T13:31:27.012601Z","submitted_at":"2019-08-13T16:59:16Z","title":"On weakly Gorenstein algebras","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T13:45:29.822823Z"},"links":{"cited_paper":"/paper/1712.04587","citing_paper":"/paper/1908.04738"},"observation_digest":"sha256:b77589deb194c36f80f84bdeb5a4e098838c4f4cd8fdaf1a80c77eefc7f671aa","observation_id":"717a3d6e-9707-44a6-9384-2396bab67539","resolution":{"observed_at":"2026-08-14T13:45:29.822823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:45:29.943745Z","title":"Advances in Mathematics Volume 210, Issue 1, 20 March 2007, Pages 51-82","venue":null,"work_id":"4178d25b-5063-4ce0-a04e-8ce4c1be8116","year":2007},"citing_paper":{"arxiv_id":"1908.04738","last_updated":"2023-10-27T08:03:27Z","snapshot_observed_at":"2026-08-14T13:31:27.012601Z","submitted_at":"2019-08-13T16:59:16Z","title":"On weakly Gorenstein algebras","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T13:45:29.827566Z"},"links":{"citing_paper":"/paper/1908.04738"},"observation_digest":"sha256:661a3239c5676551543485e66e51a6ea61a2c9a4a720959d2dc043cfed39ae6b","observation_id":"b16ccbc6-0cd2-495f-8c12-7773f9ee4eac","resolution":{"observed_at":"2026-08-14T13:45:29.949381Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:45:29.831708Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.04738","last_updated":"2023-10-27T08:03:27Z","snapshot_observed_at":"2026-08-14T13:31:27.012601Z","submitted_at":"2019-08-13T16:59:16Z","title":"On weakly Gorenstein algebras","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T13:45:29.831708Z"},"links":{"citing_paper":"/paper/1908.04738"},"observation_digest":"sha256:38cd9c6d455a38a88537a6f65cc787f9998cff6d8ca2d8deaa42fafd0d538c8e","observation_id":"42c73862-9ad3-452a-bc48-c308ae6b56cb","resolution":{"observed_at":"2026-08-14T13:45:29.831708Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1808.01809","last_updated":"2019-07-08T20:57:17Z","snapshot_observed_at":"2026-08-16T05:26:20.721901Z","submitted_at":"2018-08-06T10:13:55Z","title":"Gorenstein-projective and semi-Gorenstein-projective modules","version":4},"cited_work":{"arxiv_id":"1808.01809","doi":null,"metadata_source":"pith","pith_arxiv_id":"1808.01809","snapshot_observed_at":"2026-08-14T13:45:29.877145Z","title":"Gorenstein-projective and semi-Gorenstein-projective modules","venue":"math.RT","work_id":"111acd27-2cf4-4ae9-98fe-ef84af7f9de7","year":2018},"citing_paper":{"arxiv_id":"1908.04738","last_updated":"2023-10-27T08:03:27Z","snapshot_observed_at":"2026-08-14T13:31:27.012601Z","submitted_at":"2019-08-13T16:59:16Z","title":"On weakly Gorenstein algebras","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T13:45:29.836344Z"},"links":{"cited_paper":"/paper/1808.01809","citing_paper":"/paper/1908.04738"},"observation_digest":"sha256:3fbb3b8c0f4d1765300f87fe2932537ed67f083d4863cda76d6f7ad99679819f","observation_id":"e016ed6b-2017-4c52-8865-47e47c95f241","resolution":{"observed_at":"2026-08-14T13:45:29.884423Z","resolver_source":"local_arxiv","status":"verified_exact"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:45:29.919578Z","title":"Contemporary Mathematics Volume 406, 2006","venue":null,"work_id":"aa43b0e6-eb7a-474a-8a54-1c0bf96704d6","year":2006},"citing_paper":{"arxiv_id":"1908.04738","last_updated":"2023-10-27T08:03:27Z","snapshot_observed_at":"2026-08-14T13:31:27.012601Z","submitted_at":"2019-08-13T16:59:16Z","title":"On weakly Gorenstein algebras","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T13:45:29.840741Z"},"links":{"citing_paper":"/paper/1908.04738"},"observation_digest":"sha256:4e491203ecc700a4ef4e3553a8abdef424a63a90b8f4075e13d347b23bbc068e","observation_id":"0722a531-f3b2-4758-b1c0-2dc4a972d4bb","resolution":{"observed_at":"2026-08-14T13:45:29.924263Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:45:29.906195Z","title":"manuscripta mathematica, December 1991, Volume 70, Issue 1, pp 157-182","venue":null,"work_id":"3150d02b-0ccc-4b0f-aa8f-22809a10d399","year":1991},"citing_paper":{"arxiv_id":"1908.04738","last_updated":"2023-10-27T08:03:27Z","snapshot_observed_at":"2026-08-14T13:31:27.012601Z","submitted_at":"2019-08-13T16:59:16Z","title":"On weakly Gorenstein algebras","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T13:45:29.844827Z"},"links":{"citing_paper":"/paper/1908.04738"},"observation_digest":"sha256:7dbd8b5d64cb7e0d17322d3ec7683fa1eda588e44b16179ebbb0643d31c5ce93","observation_id":"050fe4c7-11ef-4081-a8e8-919ae4f35f4b","resolution":{"observed_at":"2026-08-14T13:45:29.910906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"1908.04738","last_updated":"2023-10-27T08:03:27Z","latest_version":2,"primary_category":"math.RT","snapshot_observed_at":"2026-08-14T13:31:27.012601Z","submitted_at":"2019-08-13T16:59:16Z","title":"On weakly Gorenstein algebras"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":1,"verified_fuzzy":3},"total_outbound_references":7},"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 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:1908.04738."}