{"as_of":"2026-08-11T19:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fdbe13c5de176f7c2387a3ac2f7587b8303f7bf9c7e652e07c3529b58178d4da","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":"2026-08-11T06:34:44.6726+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":"2026-08-10T23:10:07.798208Z","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":"2026-08-05T14:50:25.363639Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.12543","last_updated":"2024-08-22T16:54:39Z","snapshot_observed_at":"2026-07-06T19:04:43.716629Z","submitted_at":"2024-08-22T16:54:39Z","title":"A combinatorial skewing formula for the Rise Delta Theorem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.12543","snapshot_observed_at":"2026-08-10T23:10:07.798208Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.00197","last_updated":"2024-12-31T00:25:38Z","snapshot_observed_at":"2026-08-11T07:34:24.513615Z","submitted_at":"2024-12-31T00:25:38Z","title":"A geometric interpretation of the Delta Conjecture","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T23:10:07.798208Z"},"links":{"cited_paper":"/paper/2408.12543","citing_paper":"/paper/2501.00197"},"observation_digest":"sha256:9bc93aa79c9e3c5a18260fbd14fda0844216d058c7720c4d1f300398fa366120","observation_id":"5ceeb25d-0dc6-43bd-bb33-13aa2f36b371","resolution":{"observed_at":"2026-08-10T23:10:07.798208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.12543","last_updated":"2024-08-22T16:54:39Z","snapshot_observed_at":"2026-07-06T19:04:43.716629Z","submitted_at":"2024-08-22T16:54:39Z","title":"A combinatorial skewing formula for the Rise Delta Theorem","version":1},"cited_work":{"arxiv_id":"2408.12543","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.12543","snapshot_observed_at":"2026-08-05T14:50:25.363639Z","title":"A combinatorial skewing formula for the Rise Delta Theorem","venue":"math.CO","work_id":"91dc3987-ffe0-4023-80d1-e76467a5bf71","year":2024},"citing_paper":{"arxiv_id":"2508.20935","last_updated":"2026-06-19T16:49:53Z","snapshot_observed_at":"2026-08-07T12:33:29.022762Z","submitted_at":"2025-08-28T16:00:23Z","title":"Falling stars: a fall-decorated rational shuffle theorem","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:25.328460Z"},"links":{"cited_paper":"/paper/2408.12543","citing_paper":"/paper/2508.20935"},"observation_digest":"sha256:c09f93dfd7f2c4d8bb98195c302c36496d9f1c740cf354d2275c2ddb0cd47cb3","observation_id":"5c845df1-205e-464e-bb9f-a5d5b0d233c7","resolution":{"observed_at":"2026-08-05T14:50:25.368889Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2408.12543/citation-record","integrity":"/paper/2408.12543/integrity","json":"/paper/2408.12543/citation-record.json","paper":"/paper/2408.12543"},"outbound":[],"paper":{"arxiv_id":"2408.12543","last_updated":"2024-08-22T16:54:39Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T19:04:43.716629Z","submitted_at":"2024-08-22T16:54:39Z","title":"A combinatorial skewing formula for the Rise Delta Theorem"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.12543."}