Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves
As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1806.11092.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T20:15:07.170310Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-05-15T20:16:34.195217Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 28df8091-48c2-4f60-ad32-7a63e552e2ef · inbound
Exact WKB in all sectors II: Potentials with non-degenerate saddles cites this paper.
Exact WKB in all sectors II: Potentials with non-degenerate saddles Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves
Reference 110
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T20:15:07.170310Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3a84cd67-2008-427c-95d7-1e0fca7ed95d · inbound
Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics cites this paper.
Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves
Reference 45
- Resolution
- verified exact
- local_arxiv, observed 2026-05-15T20:16:34.198499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ff2ab0f6-7afb-434a-8d70-4c5e0dbb845d · inbound
Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence cites this paper.
Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves
Reference 117
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T22:50:50.464357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7229eccc-862a-4417-a385-2afcd9bc865a · inbound
Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence cites this paper.
Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves
Reference 117
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T07:52:31.571513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.