{"as_of":"2026-08-08T19:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2d4838fdd08f660dff46fe4791b20be9c6857bddb3f15236df5915d0051070a1","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":"2026-08-08T06:32:00.761636+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":"2026-08-03T09:46:24.669344Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2108.09314","last_updated":"2022-02-28T16:04:50Z","snapshot_observed_at":"2026-08-03T04:19:53.903125Z","submitted_at":"2021-08-20T18:00:03Z","title":"Automorphic Bloch theorems for hyperbolic lattices","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.09314","snapshot_observed_at":"2026-08-03T09:46:24.669344Z","title":"Automorphic Bloch theorems for hyperbolic lattices,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.13467","last_updated":"2026-06-10T06:33:18Z","snapshot_observed_at":"2026-08-07T02:07:52.807573Z","submitted_at":"2026-01-19T23:41:35Z","title":"Quantum Entanglement, Stratified Spaces, and Topological Matter: Towards Entanglement-Sensitive Langlands Data","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T09:46:24.669344Z"},"links":{"cited_paper":"/paper/2108.09314","citing_paper":"/paper/2601.13467"},"observation_digest":"sha256:e11d39603e2a64c5fb912d73df2c31d0c7a091a3bd420e0bf53c7d571574c822","observation_id":"fca3bbf8-1818-41a7-98c2-3dff39d14ce2","resolution":{"observed_at":"2026-08-03T09:46:24.669344Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.09314","last_updated":"2022-02-28T16:04:50Z","snapshot_observed_at":"2026-08-03T04:19:53.903125Z","submitted_at":"2021-08-20T18:00:03Z","title":"Automorphic Bloch theorems for hyperbolic lattices","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.09314","snapshot_observed_at":"2026-08-03T00:23:02.088970Z","title":"Maciejko and S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28719","last_updated":"2026-07-30T18:00:01Z","snapshot_observed_at":"2026-08-07T14:03:28.615306Z","submitted_at":"2026-07-30T18:00:01Z","title":"Anomalous Boundary Modes in a Floquet Hyperbolic System","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T00:23:02.088970Z"},"links":{"cited_paper":"/paper/2108.09314","citing_paper":"/paper/2607.28719"},"observation_digest":"sha256:afa082f73701e3c8fff797f9f10819ed9f78aaa66923d0b1fe2556c35b64377d","observation_id":"9793e9b4-5445-4fa9-b292-7dd41ea02601","resolution":{"observed_at":"2026-08-03T00:23:02.088970Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2108.09314/citation-record","integrity":"/paper/2108.09314/integrity","json":"/paper/2108.09314/citation-record.json","paper":"/paper/2108.09314"},"outbound":[],"paper":{"arxiv_id":"2108.09314","last_updated":"2022-02-28T16:04:50Z","latest_version":2,"primary_category":"cond-mat.mes-hall","snapshot_observed_at":"2026-08-03T04:19:53.903125Z","submitted_at":"2021-08-20T18:00:03Z","title":"Automorphic Bloch theorems for hyperbolic lattices"},"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 2 inbound Pith citation observations for arXiv:2108.09314."}