{"as_of":"2026-08-16T15:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5f1d95e0100610de42fd50405f3391dbecdfe880d1dd6d3fcfb0cd3ef74fdfda","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":"2026-08-16T06:30:59.297886+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":"2026-08-15T16:50:18.633679Z","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":"2026-08-15T16:50:18.739366Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2304.12110","last_updated":"2024-10-07T16:12:03Z","snapshot_observed_at":"2026-08-16T15:38:10.378977Z","submitted_at":"2023-04-24T14:13:09Z","title":"Exponential decay of the volume for Bernoulli percolation: a proof via stochastic comparison","version":3},"cited_work":{"arxiv_id":"2304.12110","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.12110","snapshot_observed_at":"2026-08-15T16:50:18.739366Z","title":"Exponential decay of the volume for Bernoulli percolation: a proof via stochastic comparison","venue":"math.PR","work_id":"e66f9fb8-aab1-4eb8-8931-c27b64771fc4","year":2023},"citing_paper":{"arxiv_id":"2509.02310","last_updated":"2025-09-02T13:33:14Z","snapshot_observed_at":"2026-08-15T21:41:00.697114Z","submitted_at":"2025-09-02T13:33:14Z","title":"Exponential decay for the random connection model using asymptotic transitivity","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T16:50:18.633679Z"},"links":{"cited_paper":"/paper/2304.12110","citing_paper":"/paper/2509.02310"},"observation_digest":"sha256:88b8f0e9d4700585a96703c11b938c0d8a4c13d1b45d590179159ecb0caaeb89","observation_id":"ddf90b08-84cc-41a2-9e40-1865505c51d3","resolution":{"observed_at":"2026-08-15T16:50:18.744281Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2304.12110/citation-record","integrity":"/paper/2304.12110/integrity","json":"/paper/2304.12110/citation-record.json","paper":"/paper/2304.12110"},"outbound":[],"paper":{"arxiv_id":"2304.12110","last_updated":"2024-10-07T16:12:03Z","latest_version":3,"primary_category":"math.PR","snapshot_observed_at":"2026-08-16T15:38:10.378977Z","submitted_at":"2023-04-24T14:13:09Z","title":"Exponential decay of the volume for Bernoulli percolation: a proof via stochastic comparison"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2304.12110."}