{"as_of":"2026-08-08T15:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f552ffd4df7296eb34a20c39ccb1f5781db0282571d2841999305fe4c9998adf","coverage":[{"denominator":3,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:08:36.886222Z","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":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.22819/citation-record","integrity":"/paper/2505.22819/integrity","json":"/paper/2505.22819/citation-record.json","paper":"/paper/2505.22819"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:08:36.568908Z","title":"Comtet,Advanced Combinatorics, Reidel, 1974","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2505.22819","last_updated":"2025-09-12T19:22:09Z","snapshot_observed_at":"2026-08-07T12:57:27.689093Z","submitted_at":"2025-05-28T19:55:05Z","title":"A New Identity Linking Bernoulli Numbers, Stirling Numbers of the First Kind, and Bessel Numbers of the First Kind","version":5},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:08:36.568908Z"},"links":{"citing_paper":"/paper/2505.22819"},"observation_digest":"sha256:dec191b2633e843d57e6867ae95a38326dc59e30c9166529c19f20bd1f0ad8dc","observation_id":"c0df6a1f-49af-4a93-94de-20d20c44a04b","resolution":{"observed_at":"2026-08-07T13:08:36.568908Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:08:37.516358Z","title":"Han and S","venue":null,"work_id":"94e3495d-aa3b-47c0-8b4e-8bbe08c8765b","year":2008},"citing_paper":{"arxiv_id":"2505.22819","last_updated":"2025-09-12T19:22:09Z","snapshot_observed_at":"2026-08-07T12:57:27.689093Z","submitted_at":"2025-05-28T19:55:05Z","title":"A New Identity Linking Bernoulli Numbers, Stirling Numbers of the First Kind, and Bessel Numbers of the First Kind","version":5},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:08:36.712063Z"},"links":{"citing_paper":"/paper/2505.22819"},"observation_digest":"sha256:ca3ad89b206dcf18dfe58d75f7975f5c6b5293b34e617d04a6aed7e3b7fbee6b","observation_id":"53ced950-cabf-471e-ba69-b4536ba59b52","resolution":{"observed_at":"2026-08-07T13:08:38.858392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:08:37.129583Z","title":"Stenlund, On the Connection Between Stirling Numbers and Bessel Numbers,Elec- tron","venue":null,"work_id":"9b325125-0195-4c13-bb6a-36c4ac681c09","year":2022},"citing_paper":{"arxiv_id":"2505.22819","last_updated":"2025-09-12T19:22:09Z","snapshot_observed_at":"2026-08-07T12:57:27.689093Z","submitted_at":"2025-05-28T19:55:05Z","title":"A New Identity Linking Bernoulli Numbers, Stirling Numbers of the First Kind, and Bessel Numbers of the First Kind","version":5},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:08:36.886222Z"},"links":{"citing_paper":"/paper/2505.22819"},"observation_digest":"sha256:afbcb3edbe08b3513c884fdf8191fc062f478688afaee5b19d98b58cbbce5c7f","observation_id":"2a958ec4-6f53-40d7-a09d-c062aeb5603b","resolution":{"observed_at":"2026-08-07T13:08:37.247557Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"2505.22819","last_updated":"2025-09-12T19:22:09Z","latest_version":5,"primary_category":"math.GM","snapshot_observed_at":"2026-08-07T12:57:27.689093Z","submitted_at":"2025-05-28T19:55:05Z","title":"A New Identity Linking Bernoulli Numbers, Stirling Numbers of the First Kind, and Bessel Numbers of the First Kind"},"reference_resolution":{"displayed":3,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":2},"total_outbound_references":3},"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 3 of 3 outbound references and 0 inbound Pith citation observations for arXiv:2505.22819."}