{"as_of":"2026-08-20T18:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a8e7d43bf9b59cc98fe7ec91821e9ce7419b4de4dc19c40f1bd2d4c0dc7da6f9","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":"2026-08-20T06:33:59.587034+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":"2026-08-01T21:52:16.151776Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2406.12166","last_updated":"2024-06-18T00:36:12Z","snapshot_observed_at":"2026-08-16T13:42:01.743347Z","submitted_at":"2024-06-18T00:36:12Z","title":"Universal polynomials for multi-singularity loci of maps","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.12166","snapshot_observed_at":"2026-08-01T21:52:16.151776Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16022","last_updated":"2026-07-17T14:57:57Z","snapshot_observed_at":"2026-08-07T21:16:53.566708Z","submitted_at":"2026-07-17T14:57:57Z","title":"Degenerations of multisingularities and Artin algebras","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-01T21:52:16.151776Z"},"links":{"cited_paper":"/paper/2406.12166","citing_paper":"/paper/2607.16022"},"observation_digest":"sha256:805a9fcb8097a1cb8d618ec35a9c535f48b26006a94c925f32963e585178f05d","observation_id":"d86c3c68-e0db-4bb5-a9c7-3408d988dba7","resolution":{"observed_at":"2026-08-01T21:52:16.151776Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2406.12166/citation-record","integrity":"/paper/2406.12166/integrity","json":"/paper/2406.12166/citation-record.json","paper":"/paper/2406.12166"},"outbound":[],"paper":{"arxiv_id":"2406.12166","last_updated":"2024-06-18T00:36:12Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-16T13:42:01.743347Z","submitted_at":"2024-06-18T00:36:12Z","title":"Universal polynomials for multi-singularity loci of maps"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2406.12166."}