Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:04:30.707439Z
Paper Citation Record · LEDGER
Spectral gap with polynomial rate for random covering surfaces
As of 17 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2505.08479.
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 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-08T12:45:50.054794Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-12T09:06:26.813483Z
Reference resolution
25 of 25 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ba2d5be5-1196-4c7b-abbf-a32268bd69dc · outbound
This paper cites an unresolved cited work.
Spectral gap with polynomial rate for random covering surfaces Unresolved cited work
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:04:30.608942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6fd82b67-14e6-4e11-819f-e8e762accff0 · outbound
This paper cites Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II.
Spectral gap with polynomial rate for random covering surfaces Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:04:30.613140Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67dce16c-8f4b-41bd-9e81-d6a2d6feef1f · outbound
This paper cites 1339, Springer, Berlin, 1988, pp.
Spectral gap with polynomial rate for random covering surfaces 1339, Springer, Berlin, 1988, pp
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:31.094909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ae321214-a8c3-4e5b-bd5a-60e0d1c7fc63 · outbound
This paper cites Norm of matrix-valued polynomials in random unitaries and permutations.
Spectral gap with polynomial rate for random covering surfaces Norm of matrix-valued polynomials in random unitaries and permutations
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:04:30.622999Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8930dd6-7274-4980-bde1-87147db1407c · outbound
This paper cites an unresolved cited work.
Spectral gap with polynomial rate for random covering surfaces Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:04:31.085249Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ab40696b-8721-4c75-8e05-5744f1ee3fe5 · outbound
This paper cites an unresolved cited work.
Spectral gap with polynomial rate for random covering surfaces Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:04:31.074909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 36590c8f-8710-4a5e-bf0a-0700f03c9a9b · outbound
This paper cites Bridson and Andr \'e Haefliger, Metric Spaces of Non-Positive Curvature , Grundlehren Der Mathematischen Wissenschaften , vol.
Spectral gap with polynomial rate for random covering surfaces Bridson and Andr \'e Haefliger, Metric Spaces of Non-Positive Curvature , Grundlehren Der Mathematischen Wissenschaften , vol
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:31.064012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ff529388-d2d9-445a-bac1-1089f9690fe3 · outbound
This paper cites Tropp, and Ramon van Handel , A new approach to strong convergence, Annals of Mathematics, to appear (2024).
Spectral gap with polynomial rate for random covering surfaces Tropp, and Ramon van Handel , A new approach to strong convergence, Annals of Mathematics, to appear (2024)
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:31.053227Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 712941ed-aa78-4810-8079-0ab6c7dce1e8 · outbound
This paper cites A new approach to strong convergence II. The classical ensembles.
Spectral gap with polynomial rate for random covering surfaces A new approach to strong convergence II. The classical ensembles
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:04:30.642274Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bbf501cc-70a5-427d-bc09-abde4e5405a5 · outbound
This paper cites 1, 62--110.
Spectral gap with polynomial rate for random covering surfaces 1, 62--110
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:31.040266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1d32128f-007f-4d8d-8021-5733de035bd2 · outbound
This paper cites an unresolved cited work.
Spectral gap with polynomial rate for random covering surfaces Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:04:31.029068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9334c432-2575-479b-b0c7-ff03a409e36e · outbound
This paper cites 2, 791--824.
Spectral gap with polynomial rate for random covering surfaces 2, 791--824
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:31.016357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 03d9d9e5-c7a2-47fc-ae66-ae64cb1086ab · outbound
This paper cites Ramanujan Property and Edge Universality of Random Regular Graphs.
Spectral gap with polynomial rate for random covering surfaces Ramanujan Property and Edge Universality of Random Regular Graphs
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:04:30.661225Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 57c84ec4-5539-4e3b-a7e3-f1491de51fa0 · outbound
This paper cites U ber den ersten E igenwert des L aplace- O perators auf kompakten R iemannschen F l\.
Spectral gap with polynomial rate for random covering surfaces U ber den ersten E igenwert des L aplace- O perators auf kompakten R iemannschen F l\
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:31.003691Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4358dc3c-02a5-461f-8c3b-a7331adcba94 · outbound
This paper cites Strongly convergent unitary representations of limit groups.
Spectral gap with polynomial rate for random covering surfaces Strongly convergent unitary representations of limit groups
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:04:30.669287Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f8e2cb9-4c0a-4b0c-85ed-53a1cfd89a80 · outbound
This paper cites 1, 845--898.
Spectral gap with polynomial rate for random covering surfaces 1, 845--898
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:30.992936Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8105642b-24fb-493c-99c9-43588b1953d1 · outbound
This paper cites 2, 552--601.
Spectral gap with polynomial rate for random covering surfaces 2, 552--601
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:30.981058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 287aa989-60d5-4d58-9f2c-a7261714de29 · outbound
This paper cites 2, 545--575.
Spectral gap with polynomial rate for random covering surfaces 2, 545--575
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:30.969144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d22a417c-0b1a-4be1-b4b3-c3d48ba3f563 · outbound
This paper cites The limit points of the bass notes of arithmetic hyperbolic surfaces.
Spectral gap with polynomial rate for random covering surfaces The limit points of the bass notes of arithmetic hyperbolic surfaces
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:04:30.683445Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bae1e1df-1215-48e6-b9b0-2314d0036ac7 · outbound
This paper cites Mirzakhani, Growth of W eil- P etersson volumes and random hyperbolic surfaces of large genus , Journal of Differential Geometry 94 (2013), no.
Spectral gap with polynomial rate for random covering surfaces Mirzakhani, Growth of W eil- P etersson volumes and random hyperbolic surfaces of large genus , Journal of Differential Geometry 94 (2013), no
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:30.956809Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cc0fe1e7-42ed-4e67-a68f-d2252a2dfd27 · outbound
This paper cites 3, 595--661.
Spectral gap with polynomial rate for random covering surfaces 3, 595--661
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:30.942986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 07bbc883-3514-4fbf-bf55-fbcd8c869f7d · outbound
This paper cites an unresolved cited work.
Spectral gap with polynomial rate for random covering surfaces Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:04:30.929568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 798ae7b4-6d91-4ba5-bbbb-f57d072ad828 · outbound
This paper cites Strong convergence of uniformly random permutation representations of surface groups.
Spectral gap with polynomial rate for random covering surfaces Strong convergence of uniformly random permutation representations of surface groups
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:04:30.699139Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6fd6b96-dda8-4c47-9ba6-f163159b89b1 · outbound
This paper cites Tracy and Harold Widom, On orthogonal and symplectic matrix ensembles, Communications in Mathematical Physics 177 (1996), 727--754.
Spectral gap with polynomial rate for random covering surfaces Tracy and Harold Widom, On orthogonal and symplectic matrix ensembles, Communications in Mathematical Physics 177 (1996), 727--754
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:30.916137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 56bc21a4-3633-4167-a141-c28c50565491 · outbound
This paper cites 2, 340--410.
Spectral gap with polynomial rate for random covering surfaces 2, 340--410
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:04:30.902459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
Observation 8661e1bb-c994-4aee-bc4b-aa3c18e0f7a9 · inbound
Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit cites this paper.
Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit Spectral gap with polynomial rate for random covering surfaces
Reference 53
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T19:06:08.950279Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 63dcd011-8482-46fd-8592-f2193c87fdc9 · 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 Spectral gap with polynomial rate for random covering surfaces
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T09:06:26.816973Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.