{"as_of":"2026-08-12T14:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8566848ec84410860f125223d62052f93ea5f90792789d0d966bc04290564a34","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":"2026-08-12T06:34:41.77262+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":"2026-08-07T15:42:45.725770Z","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":"2026-05-15T16:46:18.259153Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2202.07613","last_updated":"2022-02-15T17:59:25Z","snapshot_observed_at":"2026-07-06T12:38:09.711035Z","submitted_at":"2022-02-15T17:59:25Z","title":"$q$-deformed rational numbers and the 2-Calabi--Yau category of type $A_2$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.07613","snapshot_observed_at":"2026-08-07T15:42:45.725770Z","title":"Licata, q -deformed rational numbers and the 2-Calabi--Yau category of type A_2 , http://arxiv.org/abs/2202.07613v1","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.14991","last_updated":"2025-05-21T00:37:54Z","snapshot_observed_at":"2026-08-10T11:27:48.977809Z","submitted_at":"2025-05-21T00:37:54Z","title":"The Thurston compactification of the stability manifold of a generic analytic K3 surface","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T15:42:45.725770Z"},"links":{"cited_paper":"/paper/2202.07613","citing_paper":"/paper/2505.14991"},"observation_digest":"sha256:ec01dad4f5a80d00b473a893ef204df1d3ae5932fcd2aa3da71da1c9d4167843","observation_id":"e939957d-eb53-436c-b907-8d8cc32d60ab","resolution":{"observed_at":"2026-08-07T15:42:45.725770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.07613","last_updated":"2022-02-15T17:59:25Z","snapshot_observed_at":"2026-07-06T12:38:09.711035Z","submitted_at":"2022-02-15T17:59:25Z","title":"$q$-deformed rational numbers and the 2-Calabi--Yau category of type $A_2$","version":1},"cited_work":{"arxiv_id":"2202.07613","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2202.07613","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bapat, L","venue":null,"work_id":"d0d762be-1a71-4105-801a-4c45dde679b3","year":2023},"citing_paper":{"arxiv_id":"2603.04295","last_updated":"2026-05-13T10:14:56Z","snapshot_observed_at":"2026-08-07T11:32:16.334881Z","submitted_at":"2026-03-04T17:12:06Z","title":"Plane geometry of $q$-rationals and Springborn Operations","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-15T16:42:25.266082Z"},"links":{"cited_paper":"/paper/2202.07613","citing_paper":"/paper/2603.04295"},"observation_digest":"sha256:0454262eb1f76da49f2e8dce5161d26c430dd5a189104f5019273b9546c500c1","observation_id":"989f79d4-dbb1-4289-b6ea-edb11b97f587","resolution":{"observed_at":"2026-05-15T16:46:18.262232Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2202.07613","last_updated":"2022-02-15T17:59:25Z","snapshot_observed_at":"2026-07-06T12:38:09.711035Z","submitted_at":"2022-02-15T17:59:25Z","title":"$q$-deformed rational numbers and the 2-Calabi--Yau category of type $A_2$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.07613","snapshot_observed_at":"2026-08-01T05:25:04.147321Z","title":"Bapat, L","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.22308","last_updated":"2026-07-24T13:48:18Z","snapshot_observed_at":"2026-08-12T13:30:51.666017Z","submitted_at":"2026-07-24T13:48:18Z","title":"Nuancing the unicity of $q$-rationals","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T05:25:04.147321Z"},"links":{"cited_paper":"/paper/2202.07613","citing_paper":"/paper/2607.22308"},"observation_digest":"sha256:7080237e1bf1aee1d6059036a4820724bbaa0ff3c3c4019cc87359834d37c1de","observation_id":"a1174f84-aad1-464b-bd0b-80ae59c0701e","resolution":{"observed_at":"2026-08-01T05:25:04.147321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2202.07613/citation-record","integrity":"/paper/2202.07613/integrity","json":"/paper/2202.07613/citation-record.json","paper":"/paper/2202.07613"},"outbound":[],"paper":{"arxiv_id":"2202.07613","last_updated":"2022-02-15T17:59:25Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-07-06T12:38:09.711035Z","submitted_at":"2022-02-15T17:59:25Z","title":"$q$-deformed rational numbers and the 2-Calabi--Yau category of type $A_2$"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2202.07613."}