{"as_of":"2026-08-14T15:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8be0c95d3602dc2eb4d4d458200988779c9d857eb56718dc03b38b1f5e78fd9c","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T11:32:39.064519Z","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":"2026-08-05T11:32:39.386939Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.09123","last_updated":"2025-04-12T08:17:45Z","snapshot_observed_at":"2026-08-07T16:06:20.347985Z","submitted_at":"2025-04-12T08:17:45Z","title":"Refinement of Hikita's $e$-positivity theorem via Abreu--Nigro's $g$-functions and restricted modular law","version":1},"cited_work":{"arxiv_id":"2504.09123","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.09123","snapshot_observed_at":"2026-08-05T11:32:39.386939Z","title":"Refinement of Hikita's $e$-positivity theorem via Abreu--Nigro's $g$-functions and restricted modular law","venue":"math.CO","work_id":"8ba01427-3985-42e0-95e6-6ac527bb2406","year":2025},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-13T12:02:52.198925Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.064519Z"},"links":{"cited_paper":"/paper/2504.09123","citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:6a2480d072ec7273b6d2b7da5219c39b431bbf96b7be10d40c8cfe2cf0993609","observation_id":"76d37bac-e4af-4d26-b937-8556af7357b9","resolution":{"observed_at":"2026-08-05T11:32:39.433869Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2504.09123/citation-record","integrity":"/paper/2504.09123/integrity","json":"/paper/2504.09123/citation-record.json","paper":"/paper/2504.09123"},"outbound":[],"paper":{"arxiv_id":"2504.09123","last_updated":"2025-04-12T08:17:45Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-07T16:06:20.347985Z","submitted_at":"2025-04-12T08:17:45Z","title":"Refinement of Hikita's $e$-positivity theorem via Abreu--Nigro's $g$-functions and restricted modular law"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2504.09123."}