{"as_of":"2026-08-05T21:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:075737e680a56dd54b4ef650da9413cd967681de576ffcdab6607c1407332e0e","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":"2026-08-05T06:32:48.257954+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":"2026-05-22T02:05:51.048623Z","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":"2026-05-22T02:05:55.265079Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.08506","last_updated":"2024-10-15T00:27:56Z","snapshot_observed_at":"2026-07-06T19:31:36.072099Z","submitted_at":"2024-10-11T04:17:26Z","title":"Spectral forms and de-Rham Hodge operator","version":2},"cited_work":{"arxiv_id":"2410.08506","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.08506","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5afecba8-5b84-44b2-9654-9c7ae7fa6d3a","year":2025},"citing_paper":{"arxiv_id":"2505.16642","last_updated":"2026-04-14T16:48:27Z","snapshot_observed_at":"2026-07-06T21:28:33.821060Z","submitted_at":"2025-05-22T13:13:04Z","title":"On Geometric Spectral Functionals","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-22T02:05:51.048623Z"},"links":{"cited_paper":"/paper/2410.08506","citing_paper":"/paper/2505.16642"},"observation_digest":"sha256:4d66f02ec41e346bd36aec6cfe28066657e8d093cf0f06cfa638a035f5241585","observation_id":"013d8e47-a2b0-4715-9fb2-37f63b90be0f","resolution":{"observed_at":"2026-05-22T02:05:55.269308Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2410.08506/citation-record","integrity":"/paper/2410.08506/integrity","json":"/paper/2410.08506/citation-record.json","paper":"/paper/2410.08506"},"outbound":[],"paper":{"arxiv_id":"2410.08506","last_updated":"2024-10-15T00:27:56Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-07-06T19:31:36.072099Z","submitted_at":"2024-10-11T04:17:26Z","title":"Spectral forms and de-Rham Hodge operator"},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2410.08506."}