{"as_of":"2026-08-19T13:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1d50a97c2f8f71a5f90c4fd0c10de6c729058bb0912a8856c0e4612f3d692cca","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":"2026-08-19T06:32:44.657259+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":"2026-08-15T22:37:13.965630Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T23:47:28.346784Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.17478","last_updated":"2024-06-21T07:43:38Z","snapshot_observed_at":"2026-08-19T09:53:11.244383Z","submitted_at":"2024-03-26T08:15:45Z","title":"C-minimal fields have the exchange property","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17478","snapshot_observed_at":"2026-08-15T22:37:13.965630Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.07044","last_updated":"2025-05-11T16:32:57Z","snapshot_observed_at":"2026-08-18T16:11:55.988027Z","submitted_at":"2025-05-11T16:32:57Z","title":"On definable groups in dp-minimal topological fields equipped with a generic derivation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T22:37:13.965630Z"},"links":{"cited_paper":"/paper/2403.17478","citing_paper":"/paper/2505.07044"},"observation_digest":"sha256:0cbb5e43040d3393a2bed7f821ae94c1ce38f3cb6bfdf5ca1850b0fff512ed8f","observation_id":"3364a756-f52f-4f8b-b0db-8e853138e615","resolution":{"observed_at":"2026-08-15T22:37:13.965630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17478","last_updated":"2024-06-21T07:43:38Z","snapshot_observed_at":"2026-08-19T09:53:11.244383Z","submitted_at":"2024-03-26T08:15:45Z","title":"C-minimal fields have the exchange property","version":2},"cited_work":{"arxiv_id":"2403.17478","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.17478","snapshot_observed_at":"2026-07-02T23:47:28.346784Z","title":"arXiv:2403.17478v2 [math.LO], March 2024","venue":null,"work_id":"5f02aee8-cee9-4cc2-a10b-d89ef05ac342","year":2024},"citing_paper":{"arxiv_id":"2605.22725","last_updated":"2026-05-21T16:57:55Z","snapshot_observed_at":"2026-08-18T03:01:13.099509Z","submitted_at":"2026-05-21T16:57:55Z","title":"Geometric fields, ranks, and generic derivations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-22T03:15:31.289270Z"},"links":{"cited_paper":"/paper/2403.17478","citing_paper":"/paper/2605.22725"},"observation_digest":"sha256:b4c167e8287740febb90eb7891f45cc3d9ee9864064a6fd98985e3483ba2d9db","observation_id":"9dc05a63-6495-46c2-8054-36ac59a1eeb1","resolution":{"observed_at":"2026-05-22T03:15:57.909147Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17478","last_updated":"2024-06-21T07:43:38Z","snapshot_observed_at":"2026-08-19T09:53:11.244383Z","submitted_at":"2024-03-26T08:15:45Z","title":"C-minimal fields have the exchange property","version":2},"cited_work":{"arxiv_id":"2403.17478","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.17478","snapshot_observed_at":"2026-07-02T23:47:28.346784Z","title":"arXiv:2403.17478v2 [math.LO], March 2024","venue":null,"work_id":"5f02aee8-cee9-4cc2-a10b-d89ef05ac342","year":2024},"citing_paper":{"arxiv_id":"2606.08527","last_updated":"2026-06-07T09:11:43Z","snapshot_observed_at":"2026-07-06T23:48:02.118629Z","submitted_at":"2026-06-07T09:11:43Z","title":"Weakly o-minimal fields have the exchange property but not generic differentiability","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-27T17:50:00.115301Z"},"links":{"cited_paper":"/paper/2403.17478","citing_paper":"/paper/2606.08527"},"observation_digest":"sha256:665d5d468259338602189ea7fc65820f768c70bf5a71977a3fb2b3172664778c","observation_id":"71b6ef22-41d1-4ec7-813a-15baf2583c31","resolution":{"observed_at":"2026-07-02T23:47:28.348202Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2403.17478/citation-record","integrity":"/paper/2403.17478/integrity","json":"/paper/2403.17478/citation-record.json","paper":"/paper/2403.17478"},"outbound":[],"paper":{"arxiv_id":"2403.17478","last_updated":"2024-06-21T07:43:38Z","latest_version":2,"primary_category":"math.LO","snapshot_observed_at":"2026-08-19T09:53:11.244383Z","submitted_at":"2024-03-26T08:15:45Z","title":"C-minimal fields have the exchange property"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2403.17478."}