{"as_of":"2026-08-08T07:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fa78658f839fa8e53f339aaa62fbcd07a3ca8957e798b41075c8788445b53549","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":"2026-08-08T06:32:00.761636+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":"2026-08-01T10:05:23.860193Z","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":"2506.19264","last_updated":"2025-06-24T02:53:14Z","snapshot_observed_at":"2026-08-06T23:04:37.396167Z","submitted_at":"2025-06-24T02:53:14Z","title":"Distinguishing Filling Invariants Associated to Conjugacy in Groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.19264","snapshot_observed_at":"2026-08-01T10:05:23.860193Z","title":"[Gro96] M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.20401","last_updated":"2026-07-22T17:38:27Z","snapshot_observed_at":"2026-08-04T17:37:09.096432Z","submitted_at":"2026-07-22T17:38:27Z","title":"Conjugator length in finitely presented groups","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T10:05:23.860193Z"},"links":{"cited_paper":"/paper/2506.19264","citing_paper":"/paper/2607.20401"},"observation_digest":"sha256:e68f54587180281c561701530dc34d51408a79dd37cd7505e2712f78880fb801","observation_id":"c4048a2b-8d15-445c-81ce-547c78b5c773","resolution":{"observed_at":"2026-08-01T10:05:23.860193Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.19264/citation-record","integrity":"/paper/2506.19264/integrity","json":"/paper/2506.19264/citation-record.json","paper":"/paper/2506.19264"},"outbound":[],"paper":{"arxiv_id":"2506.19264","last_updated":"2025-06-24T02:53:14Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-06T23:04:37.396167Z","submitted_at":"2025-06-24T02:53:14Z","title":"Distinguishing Filling Invariants Associated to Conjugacy in Groups"},"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":"2026-08-08T06:32:00.761636+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 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2506.19264."}