{"as_of":"2026-08-13T12:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:16301072d1cf4244c94cf9ab7fadf859651f41597109ef0246954c0cc4eff067","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":"2026-08-13T06:32:02.005865+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":"2026-08-06T17:14:52.642290Z","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":"2026-05-22T00:20:50.288372Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1706.04045","last_updated":"2017-10-25T14:07:06Z","snapshot_observed_at":"2026-08-13T04:27:17.843999Z","submitted_at":"2017-06-13T13:18:11Z","title":"Verlinde formulas for nonsimply connected groups","version":2},"cited_work":{"arxiv_id":"1706.04045","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1706.04045","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Meinrenken, Verlinde formulas for nonsimply connected groups","venue":null,"work_id":"643d8001-6a2b-4635-912a-8e5e17a4531d","year":2018},"citing_paper":{"arxiv_id":"2507.12051","last_updated":"2026-07-23T09:47:48Z","snapshot_observed_at":"2026-08-09T04:47:32.556635Z","submitted_at":"2025-07-16T09:11:05Z","title":"Integrable systems from Poisson reductions of generalized Hamiltonian torus actions","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-19T04:53:55.191047Z"},"links":{"cited_paper":"/paper/1706.04045","citing_paper":"/paper/2507.12051"},"observation_digest":"sha256:87978ed88d885f39e6487e39322965751772ac76525d04d57ea39711f05b8766","observation_id":"1ab47ce6-c64f-4567-898c-7c82b6008293","resolution":{"observed_at":"2026-05-19T04:57:04.700718Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"1706.04045","last_updated":"2017-10-25T14:07:06Z","snapshot_observed_at":"2026-08-13T04:27:17.843999Z","submitted_at":"2017-06-13T13:18:11Z","title":"Verlinde formulas for nonsimply connected groups","version":2},"cited_work":{"arxiv_id":"1706.04045","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1706.04045","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Meinrenken, Verlinde formulas for nonsimply connected groups","venue":null,"work_id":"643d8001-6a2b-4635-912a-8e5e17a4531d","year":2018},"citing_paper":{"arxiv_id":"2507.12051","last_updated":"2026-07-23T09:47:48Z","snapshot_observed_at":"2026-08-09T04:47:32.556635Z","submitted_at":"2025-07-16T09:11:05Z","title":"Integrable systems from Poisson reductions of generalized Hamiltonian torus actions","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-22T00:17:14.666136Z"},"links":{"cited_paper":"/paper/1706.04045","citing_paper":"/paper/2507.12051"},"observation_digest":"sha256:bf58fc44d181519082dec6b39319b68c0b2f31f2aa3f66e04cf50e24c657727b","observation_id":"fc4e8971-89a6-4350-861a-c3a0bb2f833d","resolution":{"observed_at":"2026-05-22T00:20:50.290818Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"1706.04045","last_updated":"2017-10-25T14:07:06Z","snapshot_observed_at":"2026-08-13T04:27:17.843999Z","submitted_at":"2017-06-13T13:18:11Z","title":"Verlinde formulas for nonsimply connected groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.04045","snapshot_observed_at":"2026-08-06T17:14:52.642290Z","title":"Meinrenken, Verlinde formulas for nonsimply connected groups","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.12051","last_updated":"2026-07-23T09:47:48Z","snapshot_observed_at":"2026-08-09T04:47:32.556635Z","submitted_at":"2025-07-16T09:11:05Z","title":"Integrable systems from Poisson reductions of generalized Hamiltonian torus actions","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T17:14:52.642290Z"},"links":{"cited_paper":"/paper/1706.04045","citing_paper":"/paper/2507.12051"},"observation_digest":"sha256:5be5fff38cc25462464a23abe41a5829fe43ca8bbafa5b4c8bbf4f5560faf0ea","observation_id":"daaa1fb0-46f3-4c8b-b1c4-e9b0f67d6c7e","resolution":{"observed_at":"2026-08-06T17:14:52.642290Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1706.04045/citation-record","integrity":"/paper/1706.04045/integrity","json":"/paper/1706.04045/citation-record.json","paper":"/paper/1706.04045"},"outbound":[],"paper":{"arxiv_id":"1706.04045","last_updated":"2017-10-25T14:07:06Z","latest_version":2,"primary_category":"math.SG","snapshot_observed_at":"2026-08-13T04:27:17.843999Z","submitted_at":"2017-06-13T13:18:11Z","title":"Verlinde formulas for nonsimply connected groups"},"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 3 inbound Pith citation observations for arXiv:1706.04045."}