{"as_of":"2026-08-08T16:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fc5b75ad5eefcc711021ad6ce724de57a3e8426201d07bdd557666f18d8c3aa4","coverage":[{"denominator":2,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:31:20.130113Z","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":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.05697/citation-record","integrity":"/paper/2506.05697/integrity","json":"/paper/2506.05697/citation-record.json","paper":"/paper/2506.05697"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:31:20.179869Z","title":"An introduction to computational algebraic geometry and commu- tative algebra","venue":null,"work_id":"ecca9d9b-e495-4d2d-b666-8c523d3ae4ba","year":2007},"citing_paper":{"arxiv_id":"2506.05697","last_updated":"2025-06-06T02:54:39Z","snapshot_observed_at":"2026-08-07T10:11:17.964014Z","submitted_at":"2025-06-06T02:54:39Z","title":"The Groebner basis and solution set of a polynomial system related to the Jacobian conjecture","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T10:31:20.125273Z"},"links":{"citing_paper":"/paper/2506.05697"},"observation_digest":"sha256:ae5646f92837b9e0c3c3ceb3b99785e80dcf6a2577fcd8026b5c44aa3b3e18da","observation_id":"6bdee0e4-df21-4267-9fc1-5f53a977989f","resolution":{"observed_at":"2026-08-07T10:31:20.184216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1406.0886","last_updated":"2024-04-07T16:34:15Z","snapshot_observed_at":"2026-07-06T03:45:24.749581Z","submitted_at":"2014-06-03T21:49:03Z","title":"A system of polynomial equations related to the Jacobian Conjecture","version":3},"cited_work":{"arxiv_id":"1406.0886","doi":null,"metadata_source":"pith","pith_arxiv_id":"1406.0886","snapshot_observed_at":"2026-08-07T10:31:20.161983Z","title":"A system of polynomial equations related to the Jacobian Conjecture","venue":"math.AG","work_id":"313a6be9-a7ef-4074-8bb1-425db76d598a","year":2014},"citing_paper":{"arxiv_id":"2506.05697","last_updated":"2025-06-06T02:54:39Z","snapshot_observed_at":"2026-08-07T10:11:17.964014Z","submitted_at":"2025-06-06T02:54:39Z","title":"The Groebner basis and solution set of a polynomial system related to the Jacobian conjecture","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T10:31:20.130113Z"},"links":{"cited_paper":"/paper/1406.0886","citing_paper":"/paper/2506.05697"},"observation_digest":"sha256:8455a6eaad636c13427782f8369c61f2e2c77ae82506bf8f158cc0cb591e5d86","observation_id":"667c4045-f7ee-4cdf-b27f-f8fb551d9ab6","resolution":{"observed_at":"2026-08-07T10:31:20.168540Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.05697","last_updated":"2025-06-06T02:54:39Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-07T10:11:17.964014Z","submitted_at":"2025-06-06T02:54:39Z","title":"The Groebner basis and solution set of a polynomial system related to the Jacobian conjecture"},"reference_resolution":{"displayed":2,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":1},"total_outbound_references":2},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 0 inbound Pith citation observations for arXiv:2506.05697."}