{"as_of":"2026-08-09T18:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a719a2c7aa459af743592f5e645461162c9b298f656abe2922dbd6d09e0c9c39","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":"2026-08-09T06:31:02.800959+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":"2026-07-09T11:24:34.117932Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-09T11:26:11.491327Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2103.09945","last_updated":"2024-10-07T14:55:14Z","snapshot_observed_at":"2026-08-09T09:46:39.788619Z","submitted_at":"2021-03-17T23:22:18Z","title":"Independence of $\\ell$ for Frobenius conjugacy classes attached to abelian varieties","version":2},"cited_work":{"arxiv_id":"2103.09945","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.09945","snapshot_observed_at":"2026-07-09T11:26:11.491327Z","title":"Kisin, R","venue":"math.NT","work_id":"e7f706af-ae2c-421c-bf66-14ed2b19f7a0","year":2021},"citing_paper":{"arxiv_id":"2408.01348","last_updated":"2026-04-30T14:44:37Z","snapshot_observed_at":"2026-08-03T21:58:00.892255Z","submitted_at":"2024-08-02T15:54:04Z","title":"Igusa Stacks and the Cohomology of Shimura Varieties","version":2},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-05-23T22:06:13.735306Z"},"links":{"cited_paper":"/paper/2103.09945","citing_paper":"/paper/2408.01348"},"observation_digest":"sha256:34d8aff7f27e33c6136c208d3c6cc8586de7b81494fcc9d8fc7524a5b5080de8","observation_id":"3a369877-dc76-4d56-8e72-fcf7bc60c0c8","resolution":{"observed_at":"2026-05-23T22:08:30.358859Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.09945","last_updated":"2024-10-07T14:55:14Z","snapshot_observed_at":"2026-08-09T09:46:39.788619Z","submitted_at":"2021-03-17T23:22:18Z","title":"Independence of $\\ell$ for Frobenius conjugacy classes attached to abelian varieties","version":2},"cited_work":{"arxiv_id":"2103.09945","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.09945","snapshot_observed_at":"2026-07-09T11:26:11.491327Z","title":"Kisin, R","venue":"math.NT","work_id":"e7f706af-ae2c-421c-bf66-14ed2b19f7a0","year":2021},"citing_paper":{"arxiv_id":"2409.03689","last_updated":"2026-04-09T04:43:49Z","snapshot_observed_at":"2026-08-03T00:54:44.944397Z","submitted_at":"2024-09-05T16:43:32Z","title":"Integral models of Shimura varieties with parahoric level structure, II","version":3},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-05-23T21:22:12.389961Z"},"links":{"cited_paper":"/paper/2103.09945","citing_paper":"/paper/2409.03689"},"observation_digest":"sha256:1048b74ea2f941ce7ed915c49d839ea351e0054f1872c407c2f65bd5c62f19f8","observation_id":"a655832e-a606-45ca-9538-6ac4551adf31","resolution":{"observed_at":"2026-05-23T21:23:27.530498Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.09945","last_updated":"2024-10-07T14:55:14Z","snapshot_observed_at":"2026-08-09T09:46:39.788619Z","submitted_at":"2021-03-17T23:22:18Z","title":"Independence of $\\ell$ for Frobenius conjugacy classes attached to abelian varieties","version":2},"cited_work":{"arxiv_id":"2103.09945","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.09945","snapshot_observed_at":"2026-07-09T11:26:11.491327Z","title":"Kisin, R","venue":"math.NT","work_id":"e7f706af-ae2c-421c-bf66-14ed2b19f7a0","year":2021},"citing_paper":{"arxiv_id":"2607.07427","last_updated":"2026-07-08T13:57:35Z","snapshot_observed_at":"2026-08-04T07:48:46.536115Z","submitted_at":"2026-07-08T13:57:35Z","title":"$p$-adic Maass--Shimura operators on $\\mu$-ordinary Igusa varieties","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-09T11:24:34.117932Z"},"links":{"cited_paper":"/paper/2103.09945","citing_paper":"/paper/2607.07427"},"observation_digest":"sha256:7801e7b52790a5e1e7dd56bcfe45a72f9ee31b2162b38d8d2ff7910a22841f44","observation_id":"5c224a90-ffd0-48c9-9211-53f340c941b5","resolution":{"observed_at":"2026-07-09T11:26:11.500189Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2103.09945/citation-record","integrity":"/paper/2103.09945/integrity","json":"/paper/2103.09945/citation-record.json","paper":"/paper/2103.09945"},"outbound":[],"paper":{"arxiv_id":"2103.09945","last_updated":"2024-10-07T14:55:14Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-09T09:46:39.788619Z","submitted_at":"2021-03-17T23:22:18Z","title":"Independence of $\\ell$ for Frobenius conjugacy classes attached to abelian varieties"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2103.09945."}