{"as_of":"2026-08-22T19:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2873abe75ad7b4848ec586363ec1b13f9b718252a3672dc8a3122f55e1de98f4","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":"2026-08-22T06:32:14.747728+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":"2026-08-12T00:46:52.590363Z","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":"2026-08-12T00:46:53.210440Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1509.08843","last_updated":"2016-10-04T01:57:01Z","snapshot_observed_at":"2026-08-14T22:30:19.158175Z","submitted_at":"2015-09-29T16:49:48Z","title":"Algorithms for commutative algebras over the rational numbers","version":2},"cited_work":{"arxiv_id":"1509.08843","doi":null,"metadata_source":"pith","pith_arxiv_id":"1509.08843","snapshot_observed_at":"2026-08-12T00:46:53.210440Z","title":"Algorithms for commutative algebras over the rational numbers","venue":"math.AC","work_id":"5a455604-59f1-41ee-8e7c-0168447f21d9","year":2015},"citing_paper":{"arxiv_id":"2608.08017","last_updated":"2026-08-08T08:55:35Z","snapshot_observed_at":"2026-08-13T23:22:59.444754Z","submitted_at":"2026-08-08T08:55:35Z","title":"Existence and computation of monomial families of near-optimal strategies for recursive games","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T00:46:52.590363Z"},"links":{"cited_paper":"/paper/1509.08843","citing_paper":"/paper/2608.08017"},"observation_digest":"sha256:2b6998f785db91fa71eb6540c5be2b187fb611f3796746405549b5cd7fac0fd7","observation_id":"4d7bc5b5-85ab-4c03-8680-6ec2892781b1","resolution":{"observed_at":"2026-08-12T00:46:53.223052Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1509.08843/citation-record","integrity":"/paper/1509.08843/integrity","json":"/paper/1509.08843/citation-record.json","paper":"/paper/1509.08843"},"outbound":[],"paper":{"arxiv_id":"1509.08843","last_updated":"2016-10-04T01:57:01Z","latest_version":2,"primary_category":"math.AC","snapshot_observed_at":"2026-08-14T22:30:19.158175Z","submitted_at":"2015-09-29T16:49:48Z","title":"Algorithms for commutative algebras over the rational numbers"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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:1509.08843."}