{"as_of":"2026-08-07T07:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5736b310a49ddb0b01317cb240a0dfa3368a1bf3af63d9b7bdc7a9e3a178c688","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T20:15:07.170310Z","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":"2026-05-15T20:16:34.195217Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1806.11092","last_updated":"2018-09-24T16:16:09Z","snapshot_observed_at":"2026-07-06T06:47:23.389259Z","submitted_at":"2018-06-28T17:32:03Z","title":"Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.11092","snapshot_observed_at":"2026-08-03T20:15:07.170310Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.20778","last_updated":"2026-05-26T05:17:07Z","snapshot_observed_at":"2026-08-06T10:24:13.410946Z","submitted_at":"2025-11-25T19:16:21Z","title":"Exact WKB in all sectors II: Potentials with non-degenerate saddles","version":2},"reference_index":110,"source":"pdf_text","source_observed_at":"2026-08-03T20:15:07.170310Z"},"links":{"cited_paper":"/paper/1806.11092","citing_paper":"/paper/2511.20778"},"observation_digest":"sha256:96b7d33edc355bd85ca5f1781cd6f1b995be357eaf13e958220222db4c6e3595","observation_id":"28df8091-48c2-4f60-ad32-7a63e552e2ef","resolution":{"observed_at":"2026-08-03T20:15:07.170310Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.11092","last_updated":"2018-09-24T16:16:09Z","snapshot_observed_at":"2026-07-06T06:47:23.389259Z","submitted_at":"2018-06-28T17:32:03Z","title":"Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves","version":2},"cited_work":{"arxiv_id":"1806.11092","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.11092","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves","venue":"hep-th","work_id":"4e5c7859-2668-4b9a-9f3b-dd26f157c2f7","year":2018},"citing_paper":{"arxiv_id":"2602.20576","last_updated":"2026-05-07T04:31:45Z","snapshot_observed_at":"2026-07-06T22:46:49.536946Z","submitted_at":"2026-02-24T05:58:59Z","title":"Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-15T20:13:35.392048Z"},"links":{"cited_paper":"/paper/1806.11092","citing_paper":"/paper/2602.20576"},"observation_digest":"sha256:4bdaef2f12d880d488e89f0bece071cdd7aaf015c0985001e5ad7c4b2c4d0af8","observation_id":"3a84cd67-2008-427c-95d7-1e0fca7ed95d","resolution":{"observed_at":"2026-05-15T20:16:34.198499Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.11092","last_updated":"2018-09-24T16:16:09Z","snapshot_observed_at":"2026-07-06T06:47:23.389259Z","submitted_at":"2018-06-28T17:32:03Z","title":"Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves","version":2},"cited_work":{"arxiv_id":"1806.11092","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.11092","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves","venue":"hep-th","work_id":"4e5c7859-2668-4b9a-9f3b-dd26f157c2f7","year":2018},"citing_paper":{"arxiv_id":"2604.05878","last_updated":"2026-05-12T04:48:34Z","snapshot_observed_at":"2026-07-06T22:54:30.567988Z","submitted_at":"2026-04-07T13:39:17Z","title":"Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence","version":1},"reference_index":117,"source":"pdf_text","source_observed_at":"2026-05-10T19:31:50.995501Z"},"links":{"cited_paper":"/paper/1806.11092","citing_paper":"/paper/2604.05878"},"observation_digest":"sha256:430ffb1f0a365bfd93d1db77349bd93c9300987d00813f1859bc6b0c72203cd0","observation_id":"ff2ab0f6-7afb-434a-8d70-4c5e0dbb845d","resolution":{"observed_at":"2026-05-10T22:50:50.464357Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.11092","last_updated":"2018-09-24T16:16:09Z","snapshot_observed_at":"2026-07-06T06:47:23.389259Z","submitted_at":"2018-06-28T17:32:03Z","title":"Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves","version":2},"cited_work":{"arxiv_id":"1806.11092","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.11092","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves","venue":"hep-th","work_id":"4e5c7859-2668-4b9a-9f3b-dd26f157c2f7","year":2018},"citing_paper":{"arxiv_id":"2604.05878","last_updated":"2026-05-12T04:48:34Z","snapshot_observed_at":"2026-07-06T22:54:30.567988Z","submitted_at":"2026-04-07T13:39:17Z","title":"Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence","version":2},"reference_index":117,"source":"pdf_text","source_observed_at":"2026-05-13T07:52:12.455546Z"},"links":{"cited_paper":"/paper/1806.11092","citing_paper":"/paper/2604.05878"},"observation_digest":"sha256:8c00f0e4e1b1af7623172a8943be1c86bafad423b41a8e885d1b651d162bbce7","observation_id":"7229eccc-862a-4417-a385-2afcd9bc865a","resolution":{"observed_at":"2026-05-13T07:52:31.571513Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1806.11092/citation-record","integrity":"/paper/1806.11092/integrity","json":"/paper/1806.11092/citation-record.json","paper":"/paper/1806.11092"},"outbound":[],"paper":{"arxiv_id":"1806.11092","last_updated":"2018-09-24T16:16:09Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T06:47:23.389259Z","submitted_at":"2018-06-28T17:32:03Z","title":"Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1806.11092."}