{"as_of":"2026-08-11T15:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bd5d6b9b4a306b132c5e342e1c29f5bd91a0b4d09060b2bc2d811a0b7913e53a","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":"2026-08-11T06:34:44.6726+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":"2026-08-10T15:35:17.121518Z","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":"2026-08-10T15:35:17.741630Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1905.13584","last_updated":"2019-05-31T12:48:21Z","snapshot_observed_at":"2026-08-05T15:17:50.226202Z","submitted_at":"2019-05-31T12:48:21Z","title":"Heat kernels are not uniform expanders","version":1},"cited_work":{"arxiv_id":"1905.13584","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.13584","snapshot_observed_at":"2026-08-10T15:35:17.741630Z","title":"Heat kernels are not uniform expanders","venue":"math.CO","work_id":"4b9c5344-4306-4676-980b-6146efe49904","year":2019},"citing_paper":{"arxiv_id":"2501.13930","last_updated":"2025-01-23T18:59:58Z","snapshot_observed_at":"2026-08-10T15:25:46.060399Z","submitted_at":"2025-01-23T18:59:58Z","title":"Exponentially slow thermalization in 1D fragmented dynamics","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T15:35:17.121518Z"},"links":{"cited_paper":"/paper/1905.13584","citing_paper":"/paper/2501.13930"},"observation_digest":"sha256:fccc7a8a178eb18c53945b7bf05d3ee00c9e8f24f9db48ef0cd2e3a5a161d4c8","observation_id":"7186e5a9-74bc-4090-9659-ff45c65c5de7","resolution":{"observed_at":"2026-08-10T15:35:17.746664Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1905.13584/citation-record","integrity":"/paper/1905.13584/integrity","json":"/paper/1905.13584/citation-record.json","paper":"/paper/1905.13584"},"outbound":[],"paper":{"arxiv_id":"1905.13584","last_updated":"2019-05-31T12:48:21Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-05T15:17:50.226202Z","submitted_at":"2019-05-31T12:48:21Z","title":"Heat kernels are not uniform expanders"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1905.13584."}