{"as_of":"2026-08-17T22:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d4561adb05316fdf60264553265fcfbf06ab05e601c6838cd84e9dac286a070e","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T11:03:39.514344Z","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":"2026-08-15T14:30:18.083707Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1408.1045","last_updated":"2016-01-11T06:57:15Z","snapshot_observed_at":"2026-08-17T17:25:48.722007Z","submitted_at":"2014-08-05T17:33:02Z","title":"Loop percolation on discrete half-plane","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.1045","snapshot_observed_at":"2026-08-16T11:03:39.514344Z","title":"Loop percolation on discrete half-plane","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.16976","last_updated":"2025-08-18T13:30:10Z","snapshot_observed_at":"2026-08-16T10:50:44.707477Z","submitted_at":"2025-04-23T17:21:31Z","title":"Loop clusters on complete graphs","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-16T11:03:39.514344Z"},"links":{"cited_paper":"/paper/1408.1045","citing_paper":"/paper/2504.16976"},"observation_digest":"sha256:814c0542c36e88f73f6d61a80c28936d9a4b605b9f25b3b27f154b8cd6eb0ed0","observation_id":"6a2a276f-049a-441b-9e43-07ecabdc8888","resolution":{"observed_at":"2026-08-16T11:03:39.514344Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.1045","last_updated":"2016-01-11T06:57:15Z","snapshot_observed_at":"2026-08-17T17:25:48.722007Z","submitted_at":"2014-08-05T17:33:02Z","title":"Loop percolation on discrete half-plane","version":3},"cited_work":{"arxiv_id":"1408.1045","doi":null,"metadata_source":"pith","pith_arxiv_id":"1408.1045","snapshot_observed_at":"2026-08-15T14:30:18.083707Z","title":"Loop percolation on discrete half-plane","venue":"math.PR","work_id":"40bdf66a-683a-4b93-9188-9c7c776d98a1","year":2014},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-15T14:10:43.927215Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.880275Z"},"links":{"cited_paper":"/paper/1408.1045","citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:f7431b2c5118d7822e4e11c4068c030a44fde0a4b5a707e4c1686664f5e6cefc","observation_id":"87d78cdc-8f54-4326-85ae-461ab5b94934","resolution":{"observed_at":"2026-08-15T14:30:18.087635Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1408.1045/citation-record","integrity":"/paper/1408.1045/integrity","json":"/paper/1408.1045/citation-record.json","paper":"/paper/1408.1045"},"outbound":[],"paper":{"arxiv_id":"1408.1045","last_updated":"2016-01-11T06:57:15Z","latest_version":3,"primary_category":"math.PR","snapshot_observed_at":"2026-08-17T17:25:48.722007Z","submitted_at":"2014-08-05T17:33:02Z","title":"Loop percolation on discrete half-plane"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1408.1045."}