{"as_of":"2026-08-20T06:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2ffbfc87b8e9ce58580523c9869eb6d8bad7e1504c7977b145c680f6e2d2b047","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:28:07.666937Z","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":"2026-05-12T09:16:26.634197Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1708.03836","last_updated":"2020-06-12T23:13:03Z","snapshot_observed_at":"2026-08-15T01:37:14.758273Z","submitted_at":"2017-08-13T01:51:29Z","title":"Motivic irrationality proofs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1708.03836","snapshot_observed_at":"2026-08-14T12:28:07.666937Z","title":"Kerr, Motivic Irrationality Proofs , arXiv:1708.03836","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.07501","last_updated":"2020-06-23T07:19:12Z","snapshot_observed_at":"2026-08-19T00:31:58.347114Z","submitted_at":"2019-08-20T17:26:29Z","title":"Gamma functions, monodromy and Frobenius constants","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T12:28:07.666937Z"},"links":{"cited_paper":"/paper/1708.03836","citing_paper":"/paper/1908.07501"},"observation_digest":"sha256:7c711992bf5a9a9fb9cfe46e5f2f30ae9f5527884396e31e7303ff6e9cb2d320","observation_id":"0eef0548-f3d0-4ea7-9101-ac54a7893389","resolution":{"observed_at":"2026-08-14T12:28:07.666937Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1708.03836","last_updated":"2020-06-12T23:13:03Z","snapshot_observed_at":"2026-08-15T01:37:14.758273Z","submitted_at":"2017-08-13T01:51:29Z","title":"Motivic irrationality proofs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1708.03836","snapshot_observed_at":"2026-08-05T11:45:53.862324Z","title":"Kerr, Motivic irrationality proofs, arXiv:1708.03836v2, to appear in ``Regulators V'' proceedings","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.02382","last_updated":"2025-09-02T14:48:26Z","snapshot_observed_at":"2026-08-05T11:45:48.607218Z","submitted_at":"2025-09-02T14:48:26Z","title":"A note on higher Green's functions","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-05T11:45:53.862324Z"},"links":{"cited_paper":"/paper/1708.03836","citing_paper":"/paper/2509.02382"},"observation_digest":"sha256:c90fb6eb650209538d35b230c68173cab76f825372097147a8fc370dbefbaa9b","observation_id":"eebd8c78-78a3-4de3-9648-835a560dfd7b","resolution":{"observed_at":"2026-08-05T11:45:53.862324Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1708.03836","last_updated":"2020-06-12T23:13:03Z","snapshot_observed_at":"2026-08-15T01:37:14.758273Z","submitted_at":"2017-08-13T01:51:29Z","title":"Motivic irrationality proofs","version":2},"cited_work":{"arxiv_id":"1708.03836","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1708.03836","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Congruences via fibered motives","venue":null,"work_id":"aa0de496-707c-49ba-a6c8-ff3673fa0cbe","year":2023},"citing_paper":{"arxiv_id":"2604.26592","last_updated":"2026-05-25T12:28:15Z","snapshot_observed_at":"2026-08-04T23:47:00.295888Z","submitted_at":"2026-04-29T12:18:00Z","title":"On Arithmetic Mirror Symmetry for smooth Fano fourfolds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-07T11:45:12.523483Z"},"links":{"cited_paper":"/paper/1708.03836","citing_paper":"/paper/2604.26592"},"observation_digest":"sha256:f0df85c59bf00f73c1d35c349c7893378cedbe12ad3b4bef09fec21a2b685e64","observation_id":"d63c8bab-e4df-4df9-b189-9a9f3edc4bb0","resolution":{"observed_at":"2026-05-12T09:16:26.636640Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1708.03836","last_updated":"2020-06-12T23:13:03Z","snapshot_observed_at":"2026-08-15T01:37:14.758273Z","submitted_at":"2017-08-13T01:51:29Z","title":"Motivic irrationality proofs","version":2},"cited_work":{"arxiv_id":"1708.03836","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1708.03836","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Congruences via fibered motives","venue":null,"work_id":"aa0de496-707c-49ba-a6c8-ff3673fa0cbe","year":2023},"citing_paper":{"arxiv_id":"2604.26592","last_updated":"2026-05-25T12:28:15Z","snapshot_observed_at":"2026-08-04T23:47:00.295888Z","submitted_at":"2026-04-29T12:18:00Z","title":"On Arithmetic Mirror Symmetry for smooth Fano fourfolds","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-12T02:54:05.857909Z"},"links":{"cited_paper":"/paper/1708.03836","citing_paper":"/paper/2604.26592"},"observation_digest":"sha256:085ac1773a8bc48f5934873ad929bfa18c3c04c9b553de1ea97bc6673ac925ce","observation_id":"6f286932-7d0b-4ccc-a388-c2194a7ef140","resolution":{"observed_at":"2026-05-12T07:26:28.789725Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1708.03836/citation-record","integrity":"/paper/1708.03836/integrity","json":"/paper/1708.03836/citation-record.json","paper":"/paper/1708.03836"},"outbound":[],"paper":{"arxiv_id":"1708.03836","last_updated":"2020-06-12T23:13:03Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-15T01:37:14.758273Z","submitted_at":"2017-08-13T01:51:29Z","title":"Motivic irrationality proofs"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1708.03836."}