{"as_of":"2026-08-08T23:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:910392d1978bbb68cd6a5108633305ac8903d27ab1710b80a5c461a144e9a2c7","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":"2026-08-06T21:31:16.732094Z","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":"2026-05-25T18:27:06.330435Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1805.01718","last_updated":"2024-12-25T19:58:16Z","snapshot_observed_at":"2026-07-06T06:37:23.588751Z","submitted_at":"2018-05-04T11:27:53Z","title":"Loop structure on equivariant $K$-theory of semi-infinite flag manifolds","version":9},"cited_work":{"arxiv_id":"1805.01718","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.01718","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Loop structure on equivariant K-theory of semi-inﬁnite ﬂag manifolds","venue":null,"work_id":"ddc21898-3f9f-4297-9120-a47fddcd0b13","year":2018},"citing_paper":{"arxiv_id":"1906.09343","last_updated":"2026-04-23T12:50:58Z","snapshot_observed_at":"2026-08-08T13:19:56.066088Z","submitted_at":"2019-06-21T22:03:11Z","title":"On quantum $K$-groups of partial flag manifolds","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-25T18:26:46.336180Z"},"links":{"cited_paper":"/paper/1805.01718","citing_paper":"/paper/1906.09343"},"observation_digest":"sha256:8d1fa79530872e8e48e205b7e1340b11f1a7bc7a186b90adfda4172a7fb7a473","observation_id":"6ac1b67b-6b33-4649-82c7-266909f6ad80","resolution":{"observed_at":"2026-05-25T18:27:06.333654Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"1805.01718","last_updated":"2024-12-25T19:58:16Z","snapshot_observed_at":"2026-07-06T06:37:23.588751Z","submitted_at":"2018-05-04T11:27:53Z","title":"Loop structure on equivariant $K$-theory of semi-infinite flag manifolds","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.01718","snapshot_observed_at":"2026-08-06T21:31:16.732094Z","title":"Loop structure on equivariant K-theory of semi-infinite flag manifolds,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.00116","last_updated":"2025-07-15T14:42:40Z","snapshot_observed_at":"2026-08-08T00:21:41.921653Z","submitted_at":"2025-06-30T18:00:00Z","title":"Quantum K-theory levels in physics and math","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T21:31:16.732094Z"},"links":{"cited_paper":"/paper/1805.01718","citing_paper":"/paper/2507.00116"},"observation_digest":"sha256:4525ee0869ab9cb590a1b004150657207dfecaa9b0b1163c49d0c353681ee9e9","observation_id":"55b737f6-57f3-47c0-bc09-80f04f5ee30d","resolution":{"observed_at":"2026-08-06T21:31:16.732094Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.01718","last_updated":"2024-12-25T19:58:16Z","snapshot_observed_at":"2026-07-06T06:37:23.588751Z","submitted_at":"2018-05-04T11:27:53Z","title":"Loop structure on equivariant $K$-theory of semi-infinite flag manifolds","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.01718","snapshot_observed_at":"2026-08-06T17:03:30.629235Z","title":"Kato, Loop structure on equivariant K -theory of semi-infinite flag manifolds, to appear in Ann","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.12333","last_updated":"2025-07-16T15:24:35Z","snapshot_observed_at":"2026-08-06T16:45:54.171965Z","submitted_at":"2025-07-16T15:24:35Z","title":"Towards small quantum Chern character","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-06T17:03:30.629235Z"},"links":{"cited_paper":"/paper/1805.01718","citing_paper":"/paper/2507.12333"},"observation_digest":"sha256:391611af3a3922106ac0a1d77e386df24ed3d7b3f22f3412ffba2cc139631834","observation_id":"0dcc1d6a-df3a-4180-9e4e-d212f9812e9f","resolution":{"observed_at":"2026-08-06T17:03:30.629235Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1805.01718/citation-record","integrity":"/paper/1805.01718/integrity","json":"/paper/1805.01718/citation-record.json","paper":"/paper/1805.01718"},"outbound":[],"paper":{"arxiv_id":"1805.01718","last_updated":"2024-12-25T19:58:16Z","latest_version":9,"primary_category":"math.AG","snapshot_observed_at":"2026-07-06T06:37:23.588751Z","submitted_at":"2018-05-04T11:27:53Z","title":"Loop structure on equivariant $K$-theory of semi-infinite flag manifolds"},"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 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1805.01718."}