{"as_of":"2026-08-16T20:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f3109b3181cbcc56b53302678e0c18db9268f76b5c1f4e3b2ce9ac20b41be44c","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T20:50:47.034963Z","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":"2026-07-04T19:00:04.788645Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.08949","last_updated":"2025-03-11T22:55:25Z","snapshot_observed_at":"2026-08-16T12:50:56.066538Z","submitted_at":"2025-03-11T22:55:25Z","title":"Mobility Edge for the Anderson Model on the Bethe Lattice","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.08949","snapshot_observed_at":"2026-08-15T20:50:47.034963Z","title":"Aggarwal and P","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.11993","last_updated":"2025-06-24T04:51:12Z","snapshot_observed_at":"2026-08-15T20:41:17.220043Z","submitted_at":"2025-05-17T13:11:41Z","title":"Delocalization of random band matrices at the edge","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T20:50:47.034963Z"},"links":{"cited_paper":"/paper/2503.08949","citing_paper":"/paper/2505.11993"},"observation_digest":"sha256:ca5887fcef2741abf7c23008a4709f630a0f17960a8510d50b1ab6ec74f29647","observation_id":"4805add4-6450-46f9-8b1c-4b504478a6ff","resolution":{"observed_at":"2026-08-15T20:50:47.034963Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.08949","last_updated":"2025-03-11T22:55:25Z","snapshot_observed_at":"2026-08-16T12:50:56.066538Z","submitted_at":"2025-03-11T22:55:25Z","title":"Mobility Edge for the Anderson Model on the Bethe Lattice","version":1},"cited_work":{"arxiv_id":"2503.08949","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.08949","snapshot_observed_at":"2026-07-04T19:00:04.788645Z","title":"Aggarwal, P","venue":null,"work_id":"e709f425-dec8-4a92-b529-fc42e9b42c94","year":2025},"citing_paper":{"arxiv_id":"2604.03880","last_updated":"2026-04-04T22:12:26Z","snapshot_observed_at":"2026-07-06T22:52:57.182669Z","submitted_at":"2026-04-04T22:12:26Z","title":"Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-13T16:58:52.078241Z"},"links":{"cited_paper":"/paper/2503.08949","citing_paper":"/paper/2604.03880"},"observation_digest":"sha256:cf5d757c52c79725a7162553c5bbe6eff2702e63f817bce6bc1a786ad4712e05","observation_id":"a770b111-7da1-4b50-bdaf-39060d260561","resolution":{"observed_at":"2026-05-13T17:08:01.195115Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2503.08949","last_updated":"2025-03-11T22:55:25Z","snapshot_observed_at":"2026-08-16T12:50:56.066538Z","submitted_at":"2025-03-11T22:55:25Z","title":"Mobility Edge for the Anderson Model on the Bethe Lattice","version":1},"cited_work":{"arxiv_id":"2503.08949","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.08949","snapshot_observed_at":"2026-07-04T19:00:04.788645Z","title":"Aggarwal, P","venue":null,"work_id":"e709f425-dec8-4a92-b529-fc42e9b42c94","year":2025},"citing_paper":{"arxiv_id":"2606.24671","last_updated":"2026-06-23T15:04:41Z","snapshot_observed_at":"2026-08-08T06:47:58.307820Z","submitted_at":"2026-06-23T15:04:41Z","title":"Anderson localization on the Bethe lattice","version":1},"reference_index":109,"source":"pdf_text","source_observed_at":"2026-06-25T22:11:02.207345Z"},"links":{"cited_paper":"/paper/2503.08949","citing_paper":"/paper/2606.24671"},"observation_digest":"sha256:cee2c2e4582b00c4bf48d135d7c89dce6c27ea33a01832567c5bcbd782b7149c","observation_id":"857c4a86-dd0a-44d2-8ee4-78a11fc0fbc7","resolution":{"observed_at":"2026-07-04T19:00:04.789973Z","resolver_source":"arxiv_id","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/2503.08949/citation-record","integrity":"/paper/2503.08949/integrity","json":"/paper/2503.08949/citation-record.json","paper":"/paper/2503.08949"},"outbound":[],"paper":{"arxiv_id":"2503.08949","last_updated":"2025-03-11T22:55:25Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-16T12:50:56.066538Z","submitted_at":"2025-03-11T22:55:25Z","title":"Mobility Edge for the Anderson Model on the Bethe Lattice"},"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 3 inbound Pith citation observations for arXiv:2503.08949."}