{"as_of":"2026-08-08T22:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cb3086c12dac8cfc3a608afce56cb63939c0ad919267f22739df37d8185abf97","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":"2026-08-08T06:32:00.761636+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":"2026-08-04T01:39:32.766693Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.16403","last_updated":"2026-07-28T09:01:03Z","snapshot_observed_at":"2026-08-08T05:56:23.330596Z","submitted_at":"2025-03-20T17:55:18Z","title":"Skew shapes, Ehrhart positivity and beyond","version":3},"cited_work":{"arxiv_id":"2503.16403","doi":"10.48550/arxiv.2503.16403","metadata_source":"arxiv_reference","pith_arxiv_id":"2503.16403","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"arXiv e-prints , keywords =","venue":"ArXiv.org","work_id":"ca92a310-21de-485d-9824-c0578de23f05","year":2025},"citing_paper":{"arxiv_id":"2604.08394","last_updated":"2026-04-17T17:01:57Z","snapshot_observed_at":"2026-07-06T22:57:31.046146Z","submitted_at":"2026-04-09T15:55:15Z","title":"Ehrhart positivity for marked order polytopes","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T16:54:41.284035Z"},"links":{"cited_paper":"/paper/2503.16403","citing_paper":"/paper/2604.08394"},"observation_digest":"sha256:fa045600c4a7edd7346926fad6390ed5d58ba6121b08516ed634f9de100a66aa","observation_id":"2de3d069-1b33-4be5-9eab-65f0c48a3664","resolution":{"observed_at":"2026-07-29T01:24:22.801696Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2026-05-30T12:55:18.879246+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-30T12:55:18.879246+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.16403","last_updated":"2026-07-28T09:01:03Z","snapshot_observed_at":"2026-08-08T05:56:23.330596Z","submitted_at":"2025-03-20T17:55:18Z","title":"Skew shapes, Ehrhart positivity and beyond","version":3},"cited_work":{"arxiv_id":"2503.16403","doi":"10.48550/arxiv.2503.16403","metadata_source":"arxiv_reference","pith_arxiv_id":"2503.16403","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"arXiv e-prints , keywords =","venue":"ArXiv.org","work_id":"ca92a310-21de-485d-9824-c0578de23f05","year":2025},"citing_paper":{"arxiv_id":"2605.22673","last_updated":"2026-05-21T16:15:50Z","snapshot_observed_at":"2026-07-06T23:32:59.663926Z","submitted_at":"2026-05-21T16:15:50Z","title":"Ehrhart positivity for lattice path matroids","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-22T04:03:33.774898Z"},"links":{"cited_paper":"/paper/2503.16403","citing_paper":"/paper/2605.22673"},"observation_digest":"sha256:f146b61a3ffcfed87953fbe879c04111901945b87e432fb5a4e7449c974dca86","observation_id":"4f705d2e-d7ed-46b8-98d3-a84a3fbf0335","resolution":{"observed_at":"2026-07-29T01:24:22.801696Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2026-05-30T12:55:18.879246+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-30T12:55:18.879246+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.16403","last_updated":"2026-07-28T09:01:03Z","snapshot_observed_at":"2026-08-08T05:56:23.330596Z","submitted_at":"2025-03-20T17:55:18Z","title":"Skew shapes, Ehrhart positivity and beyond","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.16403","snapshot_observed_at":"2026-07-14T06:10:39.149636Z","title":"arXiv preprint arXiv:2503.16403 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11225","last_updated":"2026-07-13T08:15:29Z","snapshot_observed_at":"2026-08-04T05:18:39.457974Z","submitted_at":"2026-07-13T08:15:29Z","title":"Combinatorial interpretation of the coefficients of the order polynomial of fence posets","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-07-14T06:10:39.149636Z"},"links":{"cited_paper":"/paper/2503.16403","citing_paper":"/paper/2607.11225"},"observation_digest":"sha256:9a10a3258417f3a3d1cbff778a9f5068d4cc2dc0978ab29a8dfb8f77a28940c5","observation_id":"5ffdd765-2283-43b4-8b85-e9fc132b1e58","resolution":{"observed_at":"2026-07-14T06:10:39.149636Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.16403","last_updated":"2026-07-28T09:01:03Z","snapshot_observed_at":"2026-08-08T05:56:23.330596Z","submitted_at":"2025-03-20T17:55:18Z","title":"Skew shapes, Ehrhart positivity and beyond","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.16403","snapshot_observed_at":"2026-08-04T01:39:32.766693Z","title":"Ferroni, A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.766693Z"},"links":{"cited_paper":"/paper/2503.16403","citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:b5b1312e398a6df428456c9f9a60c656e8e48dba174e93049952f1c5e83e3310","observation_id":"10361458-8ecf-4134-9d9d-c007a39396fc","resolution":{"observed_at":"2026-08-04T01:39:32.766693Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2503.16403/citation-record","integrity":"/paper/2503.16403/integrity","json":"/paper/2503.16403/citation-record.json","paper":"/paper/2503.16403"},"outbound":[],"paper":{"arxiv_id":"2503.16403","last_updated":"2026-07-28T09:01:03Z","latest_version":3,"primary_category":"math.CO","snapshot_observed_at":"2026-08-08T05:56:23.330596Z","submitted_at":"2025-03-20T17:55:18Z","title":"Skew shapes, Ehrhart positivity and beyond"},"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":"2026-08-08T06:32:00.761636+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 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2503.16403."}