{"as_of":"2026-08-22T01:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d3fafdd8fd427599eb73d8b5f2716728bb67bfdf0fcba631d308428fcc2e8bd5","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":"2026-08-21T06:32:19.484+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":"2026-08-14T05:33:57.243653Z","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":"2026-08-14T05:33:57.289593Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1701.02302","last_updated":"2017-04-06T07:30:15Z","snapshot_observed_at":"2026-08-21T17:52:04.085726Z","submitted_at":"2017-01-09T18:58:27Z","title":"A Homological Theory of Functions","version":3},"cited_work":{"arxiv_id":"1701.02302","doi":null,"metadata_source":"pith","pith_arxiv_id":"1701.02302","snapshot_observed_at":"2026-08-14T05:33:57.289593Z","title":"A Homological Theory of Functions","venue":"math.AC","work_id":"08248f15-063d-4b34-8c33-05813580c2ce","year":2017},"citing_paper":{"arxiv_id":"1909.02159","last_updated":"2020-06-16T19:30:30Z","snapshot_observed_at":"2026-08-14T04:56:10.011194Z","submitted_at":"2019-09-05T00:17:27Z","title":"Free resolutions of function classes via order complexes","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T05:33:57.243653Z"},"links":{"cited_paper":"/paper/1701.02302","citing_paper":"/paper/1909.02159"},"observation_digest":"sha256:436255ec27a9fcf533036ad3d093c50e96634846dae71aaec41578ee4ca61254","observation_id":"fc0a60ee-6418-49e7-af82-90365f84807d","resolution":{"observed_at":"2026-08-14T05:33:57.296374Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1701.02302/citation-record","integrity":"/paper/1701.02302/integrity","json":"/paper/1701.02302/citation-record.json","paper":"/paper/1701.02302"},"outbound":[],"paper":{"arxiv_id":"1701.02302","last_updated":"2017-04-06T07:30:15Z","latest_version":3,"primary_category":"math.AC","snapshot_observed_at":"2026-08-21T17:52:04.085726Z","submitted_at":"2017-01-09T18:58:27Z","title":"A Homological Theory of Functions"},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1701.02302."}