{"as_of":"2026-08-08T16:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7ea5286b0d766b3ab4910057621950f57f3b2834dde6ceecb2c7464bb89ca68a","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T15:35:41.189108Z","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":"2026-08-07T15:35:41.231106Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.21378","last_updated":"2025-06-06T07:57:03Z","snapshot_observed_at":"2026-08-07T15:58:12.274807Z","submitted_at":"2025-04-30T07:28:00Z","title":"The polynomial growth of effective resistances in one-dimensional critical long-range percolation","version":2},"cited_work":{"arxiv_id":"2504.21378","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.21378","snapshot_observed_at":"2026-08-07T15:35:41.231106Z","title":"The polynomial growth of effective resistances in one-dimensional critical long-range percolation","venue":"math.PR","work_id":"a7b87c7f-2222-4f88-863b-49d11a60d92e","year":2025},"citing_paper":{"arxiv_id":"2505.15037","last_updated":"2025-06-06T08:04:52Z","snapshot_observed_at":"2026-08-07T15:22:59.617346Z","submitted_at":"2025-05-21T02:44:35Z","title":"Spectral dimensions for one-dimensional critical long-range percolation","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T15:35:41.189108Z"},"links":{"cited_paper":"/paper/2504.21378","citing_paper":"/paper/2505.15037"},"observation_digest":"sha256:d51cb66577b7594c80adcad726af987339d91a249cc36c9ce8db8a72ed181520","observation_id":"8320a8ec-779b-4085-aee5-bd48a6a76cd5","resolution":{"observed_at":"2026-08-07T15:35:41.235663Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2504.21378/citation-record","integrity":"/paper/2504.21378/integrity","json":"/paper/2504.21378/citation-record.json","paper":"/paper/2504.21378"},"outbound":[],"paper":{"arxiv_id":"2504.21378","last_updated":"2025-06-06T07:57:03Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-07T15:58:12.274807Z","submitted_at":"2025-04-30T07:28:00Z","title":"The polynomial growth of effective resistances in one-dimensional critical long-range percolation"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2504.21378."}