Paper Citation Record · LEDGER

Nearly optimal spectral gaps for random Belyi surfaces

As of 13 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2511.02517.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2511.02517 v3

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T00:16:27.140704Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

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External citation measurements

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Outbound references

Observation 8ff91607-78bf-404b-8a00-b2bd885f72d3 · outbound

This paper cites 2, 83--96, Theory of computing (Singer Island, Fla., 1984).

Nearly optimal spectral gaps for random Belyi surfaces 2, 83--96, Theory of computing (Singer Island, Fla., 1984)

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T00:16:26.919810Z

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Observation da421a94-ea59-42e6-9fbd-37b4af1eed07 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 2

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Observation 52becff9-83f1-46e7-bed3-2e25e948c435 · outbound

This paper cites Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II.

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

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Observation f042d43a-50c7-49ac-a8e6-028074ef08d1 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T00:16:26.936776Z

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Observation 44ec1533-2055-4b9f-b5b9-aa4e99fd27c4 · outbound

This paper cites Bekka, M.

Nearly optimal spectral gaps for random Belyi surfaces Bekka, M

Reference 5

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Observation 43427bde-e264-4cdd-a23a-a88420d66499 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 6

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Observation 6a024667-5b3c-4e32-92f5-d3a74df8419f · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T00:16:26.952628Z

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Observation c48c57e4-396e-418f-a5d0-120771f443a8 · outbound

This paper cites [Current Scholarship (Les Ulis)], EDP Sciences, Les Ulis; CNRS \'Editions, Paris, 2011.

Nearly optimal spectral gaps for random Belyi surfaces [Current Scholarship (Les Ulis)], EDP Sciences, Les Ulis; CNRS \'Editions, Paris, 2011

Reference 8

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Observation ff96e7f3-54ba-4ab3-a736-65f0ecc80b6f · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T00:16:26.962470Z

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Observation 43aaf39e-7774-4904-93c1-c5d2d2fb0f81 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 10

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Observation 7de714e3-471c-4046-be9a-bdae0a425ee1 · outbound

This paper cites Differential Geom.

Nearly optimal spectral gaps for random Belyi surfaces Differential Geom

Reference 11

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Observation eb36322c-5762-40e2-8480-639d3dc7e79a · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 12

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Observation 61f53679-8434-4b8c-af4a-e601e098fe5e · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 13

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Observation 17d724ba-6b32-442b-a9f9-e1d361ce974b · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T00:16:26.985268Z

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Observation 516a004a-d6e3-4e28-8a8c-18a1e5d7221a · outbound

This paper cites Tropp, and Ramon van Handel, A new approach to strong convergence, Ann.

Nearly optimal spectral gaps for random Belyi surfaces Tropp, and Ramon van Handel, A new approach to strong convergence, Ann

Reference 15

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Observation 20c76739-dc8e-4cf1-9160-2a5c8a9f027a · outbound

This paper cites A new approach to strong convergence II. The classical ensembles.

Nearly optimal spectral gaps for random Belyi surfaces A new approach to strong convergence II. The classical ensembles

Reference 16

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This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 17

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Observation 7de52c21-8699-4719-b11c-01971423b67f · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 18

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Observation 27cbeafd-0596-413c-b7f1-9eae9ba56d19 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 19

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This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 20

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Observation e39e31bf-1d73-46af-9477-0e482a9aa867 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 21

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Observation 2306cebb-0530-42bb-a23a-21b23fdc4633 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 22

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Observation c651f33e-3d5e-45fa-a82f-c9f12e6ceea2 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T00:16:27.026658Z

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Observation 6bc3f425-7750-4db5-9a41-335546215e3d · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 24

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Observation 6cfa593c-eccc-4afc-bf22-defef82f48e9 · outbound

This paper cites Ramanujan Property and Edge Universality of Random Regular Graphs.

Nearly optimal spectral gaps for random Belyi surfaces Ramanujan Property and Edge Universality of Random Regular Graphs

Reference 25

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Observation 9348430a-0e43-4486-a6af-ddf5bf111259 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 26

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Observation be38e1e2-02fe-445e-bda6-142b38ec3418 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T00:16:27.047900Z

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Observation 4aca03f5-3860-409f-b4ad-48610d0416af · outbound

This paper cites U ber den ersten E igenwert des L aplace- O perators auf kompakten R iemannschen F l\.

Nearly optimal spectral gaps for random Belyi surfaces U ber den ersten E igenwert des L aplace- O perators auf kompakten R iemannschen F l\

Reference 28

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Observation 52c7d0e3-a7f4-4c9e-9899-7cad8390a14b · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 29

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Observation 66f2bcb0-7007-45df-812a-0ab65cc06a5e · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 30

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Observation 4309cfdf-c8ed-4a37-aa2e-7cefa8d5b290 · outbound

This paper cites Random surfaces with large systoles.

Nearly optimal spectral gaps for random Belyi surfaces Random surfaces with large systoles

Reference 31

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Observation 22102836-fc0d-426f-b819-2cef8ecb9a06 · outbound

This paper cites Lubotzky, R.

Nearly optimal spectral gaps for random Belyi surfaces Lubotzky, R

Reference 32

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Observation c181c7d2-70b4-44c0-b009-5c9fef74b752 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 33

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Observation dac66a4f-0f4e-43d6-b31f-9ddb01038400 · outbound

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Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 34

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Observation 91e29cf6-60d3-4d03-ab65-e2a06cc09b3f · outbound

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Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 35

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Observation 76975719-08e1-4be9-a224-63d7b7f0b8d6 · outbound

This paper cites Differential Geom.

Nearly optimal spectral gaps for random Belyi surfaces Differential Geom

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T00:16:27.089565Z

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This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 37

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Observation 3a05dedf-215c-4444-b2c4-b7238ad15ce6 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 38

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This paper cites Strong convergence of uniformly random permutation representations of surface groups.

Nearly optimal spectral gaps for random Belyi surfaces Strong convergence of uniformly random permutation representations of surface groups

Reference 39

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This paper cites Marcus, Daniel A.

Nearly optimal spectral gaps for random Belyi surfaces Marcus, Daniel A

Reference 40

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Observation ca06e44d-ea61-42ce-9b4f-4baf36f892e9 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 41

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Observation da88c09f-d5eb-41c0-8eaf-1a538cde4185 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 42

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Observation 6c8f1679-bac2-4690-a7cd-24a6439d378e · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 43

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Observation 18f08f38-887a-44fe-8904-bf4fcccc1459 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 44

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Observation 51747d6a-d6c0-4f5a-91a9-f6ae4c9afe22 · outbound

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Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 45

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Observation a4439d3a-1b0d-4906-806a-9301eba1b6a2 · outbound

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Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 46

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Observation 9c3bb0dd-8776-4f7d-8cff-a148c4fcb163 · outbound

This paper cites an unresolved cited work.

Nearly optimal spectral gaps for random Belyi surfaces Unresolved cited work

Reference 47

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Pith citing papers

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