{"as_of":"2026-08-12T20:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:804fbf3badafd73b646fa417c34ce3da6cd87aa61b3f15cb2f5de84616130462","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:04:15.986411Z","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":"2026-08-05T11:28:05.856372Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1606.05077","last_updated":"2016-06-16T07:54:27Z","snapshot_observed_at":"2026-07-06T05:00:10.854189Z","submitted_at":"2016-06-16T07:54:27Z","title":"On the Group of Almost-Riordan Arrays","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.05077","snapshot_observed_at":"2026-08-07T15:04:15.986411Z","title":"Barry, On the group of almost-Riordan arrays, https://arxiv.org/abs/1606.05077","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.16718","last_updated":"2025-05-22T14:25:39Z","snapshot_observed_at":"2026-08-11T13:52:59.693728Z","submitted_at":"2025-05-22T14:25:39Z","title":"$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T15:04:15.986411Z"},"links":{"cited_paper":"/paper/1606.05077","citing_paper":"/paper/2505.16718"},"observation_digest":"sha256:013305078e5ad35b56641ed7845a8ce7e0890eb6b25a3e814ce852886f77305f","observation_id":"a29da7d5-1bf2-4945-843c-514140ea0fee","resolution":{"observed_at":"2026-08-07T15:04:15.986411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.05077","last_updated":"2016-06-16T07:54:27Z","snapshot_observed_at":"2026-07-06T05:00:10.854189Z","submitted_at":"2016-06-16T07:54:27Z","title":"On the Group of Almost-Riordan Arrays","version":1},"cited_work":{"arxiv_id":"1606.05077","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.05077","snapshot_observed_at":"2026-08-05T11:28:05.856372Z","title":"On the Group of Almost-Riordan Arrays","venue":"math.CO","work_id":"e749a7fd-790d-4edd-8bec-ab5e713f6d85","year":2016},"citing_paper":{"arxiv_id":"2509.02893","last_updated":"2025-09-02T23:36:20Z","snapshot_observed_at":"2026-08-09T11:37:19.401777Z","submitted_at":"2025-09-02T23:36:20Z","title":"Sequence Characterization of Multiple Almost-Riordan Arrays and Their Compressions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T11:28:05.613675Z"},"links":{"cited_paper":"/paper/1606.05077","citing_paper":"/paper/2509.02893"},"observation_digest":"sha256:eb94fe83caa19490a7740fa04069cad45fdf257ad136d93c4eb1a8c59648d867","observation_id":"717ad36f-b20d-4be3-8650-5940f3888736","resolution":{"observed_at":"2026-08-05T11:28:05.860665Z","resolver_source":"local_arxiv","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"}}],"links":{"evidence":"/evidence","html":"/paper/1606.05077/citation-record","integrity":"/paper/1606.05077/integrity","json":"/paper/1606.05077/citation-record.json","paper":"/paper/1606.05077"},"outbound":[],"paper":{"arxiv_id":"1606.05077","last_updated":"2016-06-16T07:54:27Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T05:00:10.854189Z","submitted_at":"2016-06-16T07:54:27Z","title":"On the Group of Almost-Riordan Arrays"},"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 2 inbound Pith citation observations for arXiv:1606.05077."}