Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2502.12268.
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 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T21:40:55.922729Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation dfbded06-f78c-4439-851f-7e11f54d70c1 · inbound
Shortest filling geodesics on hyperbolic surfaces cites this paper.
Shortest filling geodesics on hyperbolic surfaces Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:58:31.299319Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d474d5eb-03d9-46a2-aa9e-1ba51cae0dfb · inbound
Spectral gaps for noncompact hyperbolic surfaces with linearly many cusps cites this paper.
Spectral gaps for noncompact hyperbolic surfaces with linearly many cusps Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:19:54.591414Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52becff9-83f1-46e7-bed3-2e25e948c435 · inbound
Nearly optimal spectral gaps for random Belyi surfaces cites this paper.
Nearly optimal spectral gaps for random Belyi surfaces Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T00:16:26.930647Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ffaec7ae-71b3-4a4b-8b8b-4e9275e64c9c · inbound
Typical hyperbolic surfaces have a spectral gap greater than $2/9 - \epsilon$ cites this paper.
Typical hyperbolic surfaces have a spectral gap greater than $2/9 - \epsilon$ Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 4
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T00:30:52.153646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e2e3ef1c-a78c-4562-a488-43bc41478f95 · inbound
Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit cites this paper.
Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T19:06:09.000115Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e3d4fd20-2efa-457d-aa21-8b9ab2d7edf4 · inbound
Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces cites this paper.
Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 2
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-12T09:06:26.800561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 888decf8-9143-445e-8d7d-31d6f136f1fd · inbound
Integrals of general geometric random variables on the moduli space of hyperbolic surfaces cites this paper.
Integrals of general geometric random variables on the moduli space of hyperbolic surfaces Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T02:50:16.101533Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 12d5b6d2-1d90-4494-8aa6-aec5a434f97c · inbound
Typical distances in high-genus triangulations cites this paper.
Typical distances in high-genus triangulations Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 1
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-04T14:49:54.697733Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 874f1695-4319-42f5-b56d-b7076b5fdb50 · inbound
Chaos in large genus surfaces cites this paper.
Chaos in large genus surfaces Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T21:40:55.922729Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.