Paper Citation Record · LEDGER

Averages of determinants of Laplacians over moduli spaces for large genus

As of 21 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2411.12971.

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

pith.paper-citation-record.v1
2411.12971 v2

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T17:15:06.921345Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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verified fuzzy27
unresolved5
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External citation measurements

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Outbound references

Observation 8b3787ae-2bac-40a8-8496-b0028d66e89d · outbound

This paper cites Friedman-Ramanuja n functions in ran- dom hyperbolic geometry and application to spectral gaps.

Averages of determinants of Laplacians over moduli spaces for large genus Friedman-Ramanuja n functions in ran- dom hyperbolic geometry and application to spectral gaps

Reference 1

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Observation 5a74f508-c7d8-4c16-9375-681f17568e42 · outbound

This paper cites The spectrum of hyperbolic surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus The spectrum of hyperbolic surfaces

Reference 2

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Observation 7505a026-b555-4f5b-97dd-777498ba91bb · outbound

This paper cites Random construction of R iemann surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus Random construction of R iemann surfaces

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.653306Z

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Observation 319947f1-a167-468f-8c57-bcb6cfa171f9 · outbound

This paper cites Geometry and spectra of compact Riemann surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus Geometry and spectra of compact Riemann surfaces

Reference 4

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Observation 9fbccfb7-1bd5-4ba7-b66d-c22da72c365a · outbound

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Averages of determinants of Laplacians over moduli spaces for large genus Unresolved cited work

Reference 5

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Observation 9049506d-0929-4d8c-8ce3-8aa2752bd652 · outbound

This paper cites Short ge- odesic loops and Lp norms of eigenfunctions on large genus random surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus Short ge- odesic loops and Lp norms of eigenfunctions on large genus random surfaces

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.598407Z

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Observation d5ebb684-2681-4698-b123-265c85c638c4 · outbound

This paper cites Spectral distribution of twisted Laplacian on typical hyperbolic surfaces of high genus.

Averages of determinants of Laplacians over moduli spaces for large genus Spectral distribution of twisted Laplacian on typical hyperbolic surfaces of high genus

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.576682Z

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Observation c349a96c-9187-4f63-b96c-5f7e4e7e1f5e · outbound

This paper cites The Selberg Trace Formula for PSL(2, R): Volume 2 , volume 1001.

Averages of determinants of Laplacians over moduli spaces for large genus The Selberg Trace Formula for PSL(2, R): Volume 2 , volume 1001

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.558710Z

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Observation 7fb3ab76-414d-4671-b3d5-42e707d9eff9 · outbound

This paper cites Spectral gap for weil–petersson random surfa ces with cusps.

Averages of determinants of Laplacians over moduli spaces for large genus Spectral gap for weil–petersson random surfa ces with cusps

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.538953Z

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Observation fe783684-065c-457c-87eb-ab60df9dac42 · outbound

This paper cites Short geodesics and small eige nvalues on random hyper- bolic punctured spheres.

Averages of determinants of Laplacians over moduli spaces for large genus Short geodesics and small eige nvalues on random hyper- bolic punctured spheres

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.517643Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4cc57dd0-e6cb-4340-9928-e21977b19f2e · outbound

This paper cites Collars on riemann surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus Collars on riemann surfaces

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.496055Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2196ef16-b374-4dcd-967b-a69d664ef549 · outbound

This paper cites Quantum ergodic ity for eisenstein series on hyperbolic surfaces of large genus.

Averages of determinants of Laplacians over moduli spaces for large genus Quantum ergodic ity for eisenstein series on hyperbolic surfaces of large genus

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.475047Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5acd25d1-cad1-4fbd-848d-00bc8d8a937c · outbound

This paper cites Towards optimal spe ctral gaps in large genus.

Averages of determinants of Laplacians over moduli spaces for large genus Towards optimal spe ctral gaps in large genus

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.453003Z

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Observation 170f1715-1ea8-4279-ae8c-5323c620eeee · outbound

This paper cites Explicit spectral gaps for random covers of Rie- mann surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus Explicit spectral gaps for random covers of Rie- mann surfaces

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.432812Z

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Observation c0942400-1e12-4b1e-b5cd-633801a2a3f8 · outbound

This paper cites A rand om cover of a compact hyperbolic surface has relative spectral gap 3 16 − ε.

Averages of determinants of Laplacians over moduli spaces for large genus A rand om cover of a compact hyperbolic surface has relative spectral gap 3 16 − ε

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.412784Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 659e6474-3558-45d8-9ee4-fdbc026bad4c · outbound

This paper cites Simple geodesics and Weil-Peterss on volumes of moduli spaces of bordered Riemann surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus Simple geodesics and Weil-Peterss on volumes of moduli spaces of bordered Riemann surfaces

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.394862Z

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Observation bbeac21b-a965-49e0-a2c4-4b8b0f68fa22 · outbound

This paper cites Growth of weil-petersson volumes a nd random hyperbolic sur- face of large genus.

Averages of determinants of Laplacians over moduli spaces for large genus Growth of weil-petersson volumes a nd random hyperbolic sur- face of large genus

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.374913Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f0dcac39-28c3-4fce-8181-3ca5e0810c6d · outbound

This paper cites Lengths of closed geo desics on random surfaces of large genus.

Averages of determinants of Laplacians over moduli spaces for large genus Lengths of closed geo desics on random surfaces of large genus

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.355157Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1209880d-a6e9-46a4-8e82-3df9a32b7da2 · outbound

This paper cites Benjamini-Schramm convergence and spectr a of random hyperbolic surfaces of high genus.

Averages of determinants of Laplacians over moduli spaces for large genus Benjamini-Schramm convergence and spectr a of random hyperbolic surfaces of high genus

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.333966Z

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Observation 9b112ec7-d418-4444-8da4-52889f4403ad · outbound

This paper cites Spectral convergence of the D irac operator on typical hyperbolic surfaces of high genus.

Averages of determinants of Laplacians over moduli spaces for large genus Spectral convergence of the D irac operator on typical hyperbolic surfaces of high genus

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.313081Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 60e98c13-70ba-4d87-8dbc-087c2c6796d3 · outbound

This paper cites Determinants of laplacians on random hyperbolic surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus Determinants of laplacians on random hyperbolic surfaces

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.292059Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0756e7ac-f764-4c14-8ef7-ff3ad6b65b0c · outbound

This paper cites Large genus asymptoti cs for lengths of separat- ing closed geodesics on random surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus Large genus asymptoti cs for lengths of separat- ing closed geodesics on random surfaces

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.273042Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 916a1375-81b0-4c00-aea6-06c370ef020a · outbound

This paper cites GOE statistics on the moduli space of sur faces of large genus.

Averages of determinants of Laplacians over moduli spaces for large genus GOE statistics on the moduli space of sur faces of large genus

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.254086Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 67793290-8137-45e6-8e7c-94073811ab93 · outbound

This paper cites On the central limit theo rem for linear eigenvalue statistics on random surfaces of large genus.

Averages of determinants of Laplacians over moduli spaces for large genus On the central limit theo rem for linear eigenvalue statistics on random surfaces of large genus

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.234012Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9da8b8b8-a622-47d6-908b-7ef78708dc83 · outbound

This paper cites Determinants of laplacians.

Averages of determinants of Laplacians over moduli spaces for large genus Determinants of laplacians

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.213081Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 68b7fddf-2990-4711-92a6-a6e17f231bb9 · outbound

This paper cites Harmonic analysis and discontinuous gro ups in weakly symmetric spaces with applications to dirichlet series.

Averages of determinants of Laplacians over moduli spaces for large genus Harmonic analysis and discontinuous gro ups in weakly symmetric spaces with applications to dirichlet series

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.192639Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 502fcfb5-86f5-4ac7-acf0-2643f50cd485 · outbound

This paper cites Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps.

Averages of determinants of Laplacians over moduli spaces for large genus Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-12T17:15:06.889016Z

Source-reported events for the cited work

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Observation d652994f-6b9c-43eb-a3c8-5fad3a0bac59 · outbound

This paper cites The Fenchel-Nielsen deformation.

Averages of determinants of Laplacians over moduli spaces for large genus The Fenchel-Nielsen deformation

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.169969Z

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Observation 6d35d415-c163-48e5-bcdb-7d325b4d195c · outbound

This paper cites an unresolved cited work.

Averages of determinants of Laplacians over moduli spaces for large genus Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:15:07.150582Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a4910069-027c-48f4-8270-8d41042c0092 · outbound

This paper cites Asymptotics of the spectrum and the sel berg zeta function on the space of riemann surfaces.

Averages of determinants of Laplacians over moduli spaces for large genus Asymptotics of the spectrum and the sel berg zeta function on the space of riemann surfaces

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.128694Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2db7ed7c-44b3-4ede-898e-5c0ee2851a41 · outbound

This paper cites Prime geodesic theorem and clos ed geodesics for large genus.

Averages of determinants of Laplacians over moduli spaces for large genus Prime geodesic theorem and clos ed geodesics for large genus

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.103041Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 094ec24d-3368-48b8-978d-69db481eea6b · outbound

This paper cites Random hyperbolic surfaces of l arge genus have ﬁrst eigenvalues greater than 3 16 − ǫ.

Averages of determinants of Laplacians over moduli spaces for large genus Random hyperbolic surfaces of l arge genus have ﬁrst eigenvalues greater than 3 16 − ǫ

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:15:07.081029Z

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