{"as_of":"2026-08-13T10:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9c9ecde669686e8cebc1bbbd424467cc904cb6154f884e840e95b2ac15f0a405","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":"2026-08-13T06:32:02.005865+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":"2026-08-12T12:11:11.241408Z","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":"2026-08-12T12:11:11.319266Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2210.10934","last_updated":"2023-07-28T13:54:51Z","snapshot_observed_at":"2026-08-04T14:12:17.234750Z","submitted_at":"2022-10-20T00:05:07Z","title":"Macaulay duality and its geometry","version":3},"cited_work":{"arxiv_id":"2210.10934","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.10934","snapshot_observed_at":"2026-08-12T12:11:11.319266Z","title":"Macaulay duality and its geometry","venue":"math.AG","work_id":"4d5ad5fd-7b5d-4df0-854e-7dcc99b77eeb","year":2022},"citing_paper":{"arxiv_id":"2411.17572","last_updated":"2024-12-05T01:16:57Z","snapshot_observed_at":"2026-08-13T01:16:12.117036Z","submitted_at":"2024-11-26T16:34:41Z","title":"Log-concavity of polynomials arising from equivariant cohomology","version":2},"reference_index":1990,"source":"pdf_text","source_observed_at":"2026-08-12T12:11:11.241408Z"},"links":{"cited_paper":"/paper/2210.10934","citing_paper":"/paper/2411.17572"},"observation_digest":"sha256:dfe6108c247c9ffd9b351b19d709f1c77690ed1bc4b0006daed2fb42d20dae06","observation_id":"519e03a5-2f4b-4dbe-821a-d6843240d699","resolution":{"observed_at":"2026-08-12T12:11:11.324225Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2210.10934/citation-record","integrity":"/paper/2210.10934/integrity","json":"/paper/2210.10934/citation-record.json","paper":"/paper/2210.10934"},"outbound":[],"paper":{"arxiv_id":"2210.10934","last_updated":"2023-07-28T13:54:51Z","latest_version":3,"primary_category":"math.AG","snapshot_observed_at":"2026-08-04T14:12:17.234750Z","submitted_at":"2022-10-20T00:05:07Z","title":"Macaulay duality and its geometry"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2210.10934."}