{"as_of":"2026-08-15T17:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1342e4f0d0c9de7581b4e6b96e61ff42d9ee5736598c72bca40eb3b09b7ce0df","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":"2026-08-15T06:32:42.880941+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":"2026-08-06T20:04:08.707138Z","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":"2026-08-06T20:04:12.001170Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.11859","last_updated":"2025-08-16T01:05:16Z","snapshot_observed_at":"2026-08-11T11:41:56.917695Z","submitted_at":"2025-08-16T01:05:16Z","title":"Sharp upper bounds on hitting probabilities for the solution to the stochastic heat equation on the line","version":1},"cited_work":{"arxiv_id":"2508.11859","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.11859","snapshot_observed_at":"2026-08-06T20:04:12.001170Z","title":"Sharp upper bounds on hitting probabilities for the solution to the stochastic heat equation on the line","venue":"math.PR","work_id":"55a0be8d-4200-44e3-8af5-e562b6057683","year":2025},"citing_paper":{"arxiv_id":"2608.04644","last_updated":"2026-08-05T10:05:15Z","snapshot_observed_at":"2026-08-15T07:05:00.374286Z","submitted_at":"2026-08-05T10:05:15Z","title":"Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T20:04:08.707138Z"},"links":{"cited_paper":"/paper/2508.11859","citing_paper":"/paper/2608.04644"},"observation_digest":"sha256:3070f46d29231e1a604174d93af37836a80db27bd20f5ad2cc1a1d1b1275ca13","observation_id":"23cbd22a-44c8-4cb4-90f6-434cdc0e25a6","resolution":{"observed_at":"2026-08-06T20:04:12.108229Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.11859/citation-record","integrity":"/paper/2508.11859/integrity","json":"/paper/2508.11859/citation-record.json","paper":"/paper/2508.11859"},"outbound":[],"paper":{"arxiv_id":"2508.11859","last_updated":"2025-08-16T01:05:16Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-11T11:41:56.917695Z","submitted_at":"2025-08-16T01:05:16Z","title":"Sharp upper bounds on hitting probabilities for the solution to the stochastic heat equation on the line"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2508.11859."}