{"as_of":"2026-08-15T23:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:abd468c573f379abd7a5c24e19077b8fbf94efc99cbc35ae4cdc7364139109ab","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T22:35:12.809555Z","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":"2026-08-06T19:02:11.855065Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2309.09271","last_updated":"2023-09-17T13:35:12Z","snapshot_observed_at":"2026-08-15T14:14:05.933820Z","submitted_at":"2023-09-17T13:35:12Z","title":"Homological Shift Ideals: Macaulay2 Package","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.09271","snapshot_observed_at":"2026-08-11T22:35:12.809555Z","title":"Ficarra, Homological shift ideals: Macaulay2 package , http://arxiv.org/abs/2309.09271","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.03468","last_updated":"2025-06-17T19:45:59Z","snapshot_observed_at":"2026-08-13T18:49:04.934903Z","submitted_at":"2024-12-04T16:56:41Z","title":"Powers of Edge Ideals with Linear Quotients","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T22:35:12.809555Z"},"links":{"cited_paper":"/paper/2309.09271","citing_paper":"/paper/2412.03468"},"observation_digest":"sha256:8726db5c975b030a805df8c694a967b3d797668d315bd60142b1f854b3edf3ae","observation_id":"d474bf6e-e8c9-4062-997a-5c5085925b9d","resolution":{"observed_at":"2026-08-11T22:35:12.809555Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.09271","last_updated":"2023-09-17T13:35:12Z","snapshot_observed_at":"2026-08-15T14:14:05.933820Z","submitted_at":"2023-09-17T13:35:12Z","title":"Homological Shift Ideals: Macaulay2 Package","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.09271","snapshot_observed_at":"2026-08-10T23:22:37.854160Z","title":"Ficarra, Homological Shift Ideals: Macaulay2 Package , 2023, preprint https://arxiv.org/abs/2309.09271","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.21031","last_updated":"2025-04-17T14:27:01Z","snapshot_observed_at":"2026-08-14T15:41:26.784120Z","submitted_at":"2024-12-30T15:57:47Z","title":"The homological shift algebra of a monomial ideal","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T23:22:37.854160Z"},"links":{"cited_paper":"/paper/2309.09271","citing_paper":"/paper/2412.21031"},"observation_digest":"sha256:0f67f3d38dcfa695f45ccff42b1eb7bc5c7d1c9553495baf1c25253b873ea22f","observation_id":"984c2d18-2040-4df8-b90b-cf91596a96a3","resolution":{"observed_at":"2026-08-10T23:22:37.854160Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.09271","last_updated":"2023-09-17T13:35:12Z","snapshot_observed_at":"2026-08-15T14:14:05.933820Z","submitted_at":"2023-09-17T13:35:12Z","title":"Homological Shift Ideals: Macaulay2 Package","version":1},"cited_work":{"arxiv_id":"2309.09271","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.09271","snapshot_observed_at":"2026-08-06T19:02:11.855065Z","title":"Homological Shift Ideals: Macaulay2 Package","venue":"math.AC","work_id":"b520c101-4fd2-4cc5-9acc-2c6587c3ba9e","year":2023},"citing_paper":{"arxiv_id":"2507.07022","last_updated":"2025-07-30T06:42:54Z","snapshot_observed_at":"2026-08-14T13:21:30.909968Z","submitted_at":"2025-07-09T16:49:12Z","title":"Principal vector-spread Borel ideals","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T19:02:10.949141Z"},"links":{"cited_paper":"/paper/2309.09271","citing_paper":"/paper/2507.07022"},"observation_digest":"sha256:ef5ee9760b89c75e543674a918bb661b939bd25b67da52953cd82219ee421f8c","observation_id":"ef815c34-e13f-4da3-814c-6fea9253f99f","resolution":{"observed_at":"2026-08-06T19:02:11.862565Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2309.09271/citation-record","integrity":"/paper/2309.09271/integrity","json":"/paper/2309.09271/citation-record.json","paper":"/paper/2309.09271"},"outbound":[],"paper":{"arxiv_id":"2309.09271","last_updated":"2023-09-17T13:35:12Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-15T14:14:05.933820Z","submitted_at":"2023-09-17T13:35:12Z","title":"Homological Shift Ideals: Macaulay2 Package"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2309.09271."}