{"as_of":"2026-08-16T21:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7ea8741efad0813d933c231a7685430f1270c70d53a86c8e270d081e1d36d6fb","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":"2026-08-16T06:30:59.297886+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":"2026-08-14T15:29:19.169002Z","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":"2026-08-14T15:23:29.450319Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1804.10538","last_updated":"2023-02-18T02:13:45Z","snapshot_observed_at":"2026-08-14T19:21:12.201094Z","submitted_at":"2018-04-27T14:49:14Z","title":"Cayley sums and Minkowski sums of lattice polytopes","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.10538","snapshot_observed_at":"2026-08-14T15:29:19.169002Z","title":"Tsuchiya","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01369","last_updated":"2019-09-13T17:29:40Z","snapshot_observed_at":"2026-08-14T15:12:42.451293Z","submitted_at":"2019-08-04T15:55:23Z","title":"Nef-partitions arising from unimodular configurations","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:29:19.169002Z"},"links":{"cited_paper":"/paper/1804.10538","citing_paper":"/paper/1908.01369"},"observation_digest":"sha256:ca44fb66afb69dd6f5fffb3024a8251614b96d34a0141bf2c4578619edd876cf","observation_id":"45e7c6c3-6b0c-49fe-bc97-d3f34f3a0643","resolution":{"observed_at":"2026-08-14T15:29:19.169002Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.10538","last_updated":"2023-02-18T02:13:45Z","snapshot_observed_at":"2026-08-14T19:21:12.201094Z","submitted_at":"2018-04-27T14:49:14Z","title":"Cayley sums and Minkowski sums of lattice polytopes","version":4},"cited_work":{"arxiv_id":"1804.10538","doi":null,"metadata_source":"pith","pith_arxiv_id":"1804.10538","snapshot_observed_at":"2026-08-14T15:23:29.450319Z","title":"Cayley sums and Minkowski sums of lattice polytopes","venue":"math.CO","work_id":"5bf56132-bd30-465d-b94f-bc51c96ada4b","year":2018},"citing_paper":{"arxiv_id":"1908.01415","last_updated":"2019-11-29T16:55:44Z","snapshot_observed_at":"2026-08-14T15:11:27.330503Z","submitted_at":"2019-08-04T22:30:35Z","title":"Toric ideals of Minkowski sums of unit simplices","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:23:29.416698Z"},"links":{"cited_paper":"/paper/1804.10538","citing_paper":"/paper/1908.01415"},"observation_digest":"sha256:c3ba92e853f21be8a620942eb0057d0b66da26afa698e6031038bccb0996e918","observation_id":"35902fb9-4c32-46da-95d0-ea66c43e4b1f","resolution":{"observed_at":"2026-08-14T15:23:29.596464Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1804.10538/citation-record","integrity":"/paper/1804.10538/integrity","json":"/paper/1804.10538/citation-record.json","paper":"/paper/1804.10538"},"outbound":[],"paper":{"arxiv_id":"1804.10538","last_updated":"2023-02-18T02:13:45Z","latest_version":4,"primary_category":"math.CO","snapshot_observed_at":"2026-08-14T19:21:12.201094Z","submitted_at":"2018-04-27T14:49:14Z","title":"Cayley sums and Minkowski sums of lattice polytopes"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1804.10538."}