{"as_of":"2026-08-11T15:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9f06c4b1c15079343c046c8d5284d7a0f95bf3bd05aec2998926f38ebc69a934","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:31:12.270985Z","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":"2026-07-03T17:08:43.870023Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1911.13286","last_updated":"2019-11-29T18:41:05Z","snapshot_observed_at":"2026-08-08T05:35:22.084944Z","submitted_at":"2019-11-29T18:41:05Z","title":"Wilson loop algebras and quantum K-theory for Grassmannians","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.13286","snapshot_observed_at":"2026-08-06T21:31:12.270985Z","title":"Wilson loop algebras and quantum K-theory for Grassmannians,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.00116","last_updated":"2025-07-15T14:42:40Z","snapshot_observed_at":"2026-08-09T08:25:22.044272Z","submitted_at":"2025-06-30T18:00:00Z","title":"Quantum K-theory levels in physics and math","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T21:31:12.270985Z"},"links":{"cited_paper":"/paper/1911.13286","citing_paper":"/paper/2507.00116"},"observation_digest":"sha256:e76c4aa9d6f97c9bdd2aa28d50f403f7471678841cb31691217b483d9238b5e3","observation_id":"b6a6f2b8-ec67-4108-9890-78742a8de38a","resolution":{"observed_at":"2026-08-06T21:31:12.270985Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1911.13286","last_updated":"2019-11-29T18:41:05Z","snapshot_observed_at":"2026-08-08T05:35:22.084944Z","submitted_at":"2019-11-29T18:41:05Z","title":"Wilson loop algebras and quantum K-theory for Grassmannians","version":1},"cited_work":{"arxiv_id":"1911.13286","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1911.13286","snapshot_observed_at":"2026-07-03T17:08:43.870023Z","title":"Wilson loop algebras and quantum 𝐾-theory for Grassmannians","venue":null,"work_id":"82d21610-3d37-40d9-a971-9ec0c320b109","year":2020},"citing_paper":{"arxiv_id":"2508.00050","last_updated":"2025-10-19T23:52:03Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-07-31T18:00:00Z","title":"Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-05-21T23:24:31.981215Z"},"links":{"cited_paper":"/paper/1911.13286","citing_paper":"/paper/2508.00050"},"observation_digest":"sha256:920077560ff4e3f1500c1eee7c2782f61de4f575a1949fc18204ef067824282b","observation_id":"a24e67db-0768-4c78-82fe-c56493ace8ae","resolution":{"observed_at":"2026-05-21T23:25:45.433070Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.13286","last_updated":"2019-11-29T18:41:05Z","snapshot_observed_at":"2026-08-08T05:35:22.084944Z","submitted_at":"2019-11-29T18:41:05Z","title":"Wilson loop algebras and quantum K-theory for Grassmannians","version":1},"cited_work":{"arxiv_id":"1911.13286","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1911.13286","snapshot_observed_at":"2026-07-03T17:08:43.870023Z","title":"Wilson loop algebras and quantum 𝐾-theory for Grassmannians","venue":null,"work_id":"82d21610-3d37-40d9-a971-9ec0c320b109","year":2020},"citing_paper":{"arxiv_id":"2512.19802","last_updated":"2026-01-28T22:49:05Z","snapshot_observed_at":"2026-08-06T08:55:23.976840Z","submitted_at":"2025-12-22T19:00:33Z","title":"Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-16T20:10:16.517351Z"},"links":{"cited_paper":"/paper/1911.13286","citing_paper":"/paper/2512.19802"},"observation_digest":"sha256:8f8f00e32f603ad4af4d870700c9efce27147dfbece2fc403f491f974071d7c1","observation_id":"bceaf38a-9128-4da1-bd2a-1eecd239f308","resolution":{"observed_at":"2026-05-16T20:11:13.280517Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.13286","last_updated":"2019-11-29T18:41:05Z","snapshot_observed_at":"2026-08-08T05:35:22.084944Z","submitted_at":"2019-11-29T18:41:05Z","title":"Wilson loop algebras and quantum K-theory for Grassmannians","version":1},"cited_work":{"arxiv_id":"1911.13286","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1911.13286","snapshot_observed_at":"2026-07-03T17:08:43.870023Z","title":"Wilson loop algebras and quantum 𝐾-theory for Grassmannians","venue":null,"work_id":"82d21610-3d37-40d9-a971-9ec0c320b109","year":2020},"citing_paper":{"arxiv_id":"2601.18881","last_updated":"2026-01-26T19:00:04Z","snapshot_observed_at":"2026-08-02T19:44:07.340576Z","submitted_at":"2026-01-26T19:00:04Z","title":"Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-16T10:36:26.896871Z"},"links":{"cited_paper":"/paper/1911.13286","citing_paper":"/paper/2601.18881"},"observation_digest":"sha256:ca854ef26b43f7f711aa8b4a2715b4e847e8393999a0b7bbe414cd65c3d159d1","observation_id":"21bfb860-e9a7-4011-aaa2-638bedd7dec7","resolution":{"observed_at":"2026-05-16T10:37:45.054271Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.13286","last_updated":"2019-11-29T18:41:05Z","snapshot_observed_at":"2026-08-08T05:35:22.084944Z","submitted_at":"2019-11-29T18:41:05Z","title":"Wilson loop algebras and quantum K-theory for Grassmannians","version":1},"cited_work":{"arxiv_id":"1911.13286","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1911.13286","snapshot_observed_at":"2026-07-03T17:08:43.870023Z","title":"Wilson loop algebras and quantum 𝐾-theory for Grassmannians","venue":null,"work_id":"82d21610-3d37-40d9-a971-9ec0c320b109","year":2020},"citing_paper":{"arxiv_id":"2606.15261","last_updated":"2026-06-24T04:37:48Z","snapshot_observed_at":"2026-08-09T23:33:40.418055Z","submitted_at":"2026-06-13T11:39:01Z","title":"On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T04:30:43.031868Z"},"links":{"cited_paper":"/paper/1911.13286","citing_paper":"/paper/2606.15261"},"observation_digest":"sha256:4397b694c51a82b63bcb16797a492008aefc0047a9ff88a4f40947872fa55199","observation_id":"a61931ba-c34f-4945-8cdd-4af97ea6a942","resolution":{"observed_at":"2026-07-03T17:08:43.871653Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1911.13286/citation-record","integrity":"/paper/1911.13286/integrity","json":"/paper/1911.13286/citation-record.json","paper":"/paper/1911.13286"},"outbound":[],"paper":{"arxiv_id":"1911.13286","last_updated":"2019-11-29T18:41:05Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-08T05:35:22.084944Z","submitted_at":"2019-11-29T18:41:05Z","title":"Wilson loop algebras and quantum K-theory for Grassmannians"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1911.13286."}