{"as_of":"2026-08-04T17:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:736bd19ce27e0cb0bc7912f30d16cd39abe4a054503fed33e64ce0637ffd974e","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":"2026-08-04T06:34:03.388597+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":"2026-08-01T08:18:33.455434Z","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":"2026-07-03T03:07:34.420790Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.07321","last_updated":"2026-07-05T18:15:04Z","snapshot_observed_at":"2026-08-04T10:22:35.410554Z","submitted_at":"2024-04-10T19:49:25Z","title":"On the spectral radius of the non-backtracking matrix of the configuration model","version":2},"cited_work":{"arxiv_id":"2404.07321","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.07321","snapshot_observed_at":"2026-07-07T02:18:22.034764Z","title":"Louvaris, D","venue":null,"work_id":"fb93a0d4-5dec-4dc8-b970-a98196ffe521","year":2024},"citing_paper":{"arxiv_id":"2607.02147","last_updated":"2026-07-02T13:24:21Z","snapshot_observed_at":"2026-07-29T13:54:27.145946Z","submitted_at":"2026-07-02T13:24:21Z","title":"On the growth spectrum of hyperbolic groups","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-03T03:02:59.929788Z"},"links":{"cited_paper":"/paper/2404.07321","citing_paper":"/paper/2607.02147"},"observation_digest":"sha256:806a159de71b6c6cc1b2c387049e728cba3261c159715aca14844023630e5fbf","observation_id":"611fe453-b06d-4568-a3d0-e6afbd43b403","resolution":{"observed_at":"2026-07-07T02:18:22.034764Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.07321","last_updated":"2026-07-05T18:15:04Z","snapshot_observed_at":"2026-08-04T10:22:35.410554Z","submitted_at":"2024-04-10T19:49:25Z","title":"On the spectral radius of the non-backtracking matrix of the configuration model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.07321","snapshot_observed_at":"2026-08-01T08:18:33.455434Z","title":"Louvaris, D","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21294","last_updated":"2026-07-23T13:17:33Z","snapshot_observed_at":"2026-08-04T03:27:21.285371Z","submitted_at":"2026-07-23T13:17:33Z","title":"Critical-exponent stratification and inverse realization on biregular trees","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T08:18:33.455434Z"},"links":{"cited_paper":"/paper/2404.07321","citing_paper":"/paper/2607.21294"},"observation_digest":"sha256:18b4c42dcb0099af33098f0d32cb887009bd79ac17c20f0f1ab0335612172b7b","observation_id":"1df84aa2-ed76-4ef8-b400-97356afa4fb4","resolution":{"observed_at":"2026-08-01T08:18:33.455434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2404.07321/citation-record","integrity":"/paper/2404.07321/integrity","json":"/paper/2404.07321/citation-record.json","paper":"/paper/2404.07321"},"outbound":[],"paper":{"arxiv_id":"2404.07321","last_updated":"2026-07-05T18:15:04Z","latest_version":2,"primary_category":"math.GR","snapshot_observed_at":"2026-08-04T10:22:35.410554Z","submitted_at":"2024-04-10T19:49:25Z","title":"On the spectral radius of the non-backtracking matrix of the configuration model"},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2404.07321."}