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Paper Citation Record · LEDGER

On the spectral stability of finite coverings

As of 15 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2507.17466.

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

pith.paper-citation-record.v1
2507.17466 v3

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:01:40.764229Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-08T09:35:43.652006Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T09:44:49.499702Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact3
  • verified fuzzy21
  • unresolved3
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation efa2b03c-e671-4831-ad90-62cc390a87d8 · outbound

This paper cites Ballmann, H.

On the spectral stability of finite coverings Ballmann, H

Reference 1

Resolution
verified fuzzy
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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.

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Observation 2383017a-712c-41e0-8a98-22b5994dbce5 · outbound

This paper cites Ballmann and S.

On the spectral stability of finite coverings Ballmann and S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.171144Z

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.

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Observation b840e154-ba26-4c6e-835b-2219535574f9 · outbound

This paper cites Ballmann and P.

On the spectral stability of finite coverings Ballmann and P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.160339Z

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.

source=pdf_text observed=2026-08-06T15:01:40.654544Z digest=sha256:406555cea919ed0c322e737a6deb5e8edb3b9fd98008c824ceafbeb3f3c0252c

Observation 3e0e7e0b-543f-4ee9-88f3-1118de59af79 · outbound

This paper cites Baumslag, On generalised free products, Math.

On the spectral stability of finite coverings Baumslag, On generalised free products, Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.150151Z

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.

source=pdf_text observed=2026-08-06T15:01:40.658370Z digest=sha256:7e3bf16e3a4ec6cbe3870fe9572e234cbf12bcc86eeea32a8c2606aa1a3c72ce

Observation 201a299f-0121-45b0-a723-fad5744d676a · outbound

This paper cites Baumslag, Residually free groups, Proc.

On the spectral stability of finite coverings Baumslag, Residually free groups, Proc

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.138815Z

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.

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Observation 2a879f83-b1da-4160-9d62-8f41add0971c · outbound

This paper cites Bordenave and B.

On the spectral stability of finite coverings Bordenave and B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.127549Z

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.

source=pdf_text observed=2026-08-06T15:01:40.667635Z digest=sha256:b0b9ec8a7178dea629a7b1832b14da01db3f3edc3f0b2ab585e37fd03f45966a

Observation 710b0117-e870-4266-9fe3-17bdac2e5bb3 · outbound

This paper cites an unresolved cited work.

On the spectral stability of finite coverings Unresolved cited work

Reference 7

Resolution
unresolved
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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.

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Observation eb58259b-8160-41ce-95f8-d65ef25d6de8 · outbound

This paper cites Bowen, Hausdorff dimension of quasicircles.

On the spectral stability of finite coverings Bowen, Hausdorff dimension of quasicircles

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.103097Z

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.

source=pdf_text observed=2026-08-06T15:01:40.678067Z digest=sha256:b769d403d32d8929d68808c1c66f61357d42e8e88b88cc01e1b51f6d9689709a

Observation 6ca5ed63-7b08-46df-b085-6a8dbed1f6e7 · outbound

This paper cites Brooks, The fundamental group and the spectrum of the Laplacian.

On the spectral stability of finite coverings Brooks, The fundamental group and the spectrum of the Laplacian

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.091710Z

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.

source=pdf_text observed=2026-08-06T15:01:40.682552Z digest=sha256:a7009baf57493c4c6cb101587fdf958f0dd7fc08850826e2b3940c710884442d

Observation d6e1153a-d437-49c9-abcf-ac88daab99c7 · outbound

This paper cites Brooks, The spectral geometry of a tower of coverings.

On the spectral stability of finite coverings Brooks, The spectral geometry of a tower of coverings

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.079072Z

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.

source=pdf_text observed=2026-08-06T15:01:40.686001Z digest=sha256:eede1b30cdb6faa9d2d07e347c082ecc4ba1b79e7b9d94ffb2b168e957f5e785

Observation 6176aa41-5e56-46cc-8ab4-cf1307a4d3e5 · outbound

This paper cites Brooks and E.

On the spectral stability of finite coverings Brooks and E

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.056349Z

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.

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Observation f740a9f4-03ea-4d17-b13d-fa90fca569ac · outbound

This paper cites Cheeger and T.

On the spectral stability of finite coverings Cheeger and T

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.044635Z

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.

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Observation dead87b7-ef91-4d8e-8a12-829945be6a34 · outbound

This paper cites Cheeger, W.

On the spectral stability of finite coverings Cheeger, W

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.030693Z

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.

source=pdf_text observed=2026-08-06T15:01:40.697825Z digest=sha256:80a723da25f173779b2d1d27c8deaab31c0e1b15793ed7e2ccbb31a2710ae095

Observation 84130af2-804f-4f1b-b70e-41a830ade084 · outbound

This paper cites Cheng and S.T.

On the spectral stability of finite coverings Cheng and S.T

Reference 14

Resolution
verified fuzzy
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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.

source=pdf_text observed=2026-08-06T15:01:40.702115Z digest=sha256:1c1f24e4b1e8c8a2163c9f7638391095ef02b9e0c3bf5602fbde0e110facd696

Observation 50f5a955-3d83-45e6-8774-fd063c9a8561 · outbound

This paper cites Hide and M.

On the spectral stability of finite coverings Hide and M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:41.006720Z

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.

source=pdf_text observed=2026-08-06T15:01:40.706265Z digest=sha256:37023626bdadb460a96eb73d759b459081c1703e930baa13412945ce90b707bf

Observation 8e80c9da-784b-42a9-8957-c4fbc3b5ecb4 · outbound

This paper cites On the spectral gap of negatively curved surface covers.

On the spectral stability of finite coverings On the spectral gap of negatively curved surface covers

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:01:40.887216Z

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.

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Observation e2e1b973-b684-4686-be31-8bb8b60b41d2 · outbound

This paper cites Louder and M.

On the spectral stability of finite coverings Louder and M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:40.992213Z

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.

source=pdf_text observed=2026-08-06T15:01:40.714997Z digest=sha256:0b715bc1b9dc8f2f3e78e42e799dd3d80cd6e57699470d832ef3a2465f79310b

Observation a918e182-93ec-4266-8ecf-c5ac22cadd8c · outbound

This paper cites Strong convergence of unitary and permutation representations of discrete groups.

On the spectral stability of finite coverings Strong convergence of unitary and permutation representations of discrete groups

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T15:01:40.718990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:01:40.718990Z digest=sha256:b3728bc134b940629beec05311564fabf43f64914c5fa35addb6fad9a4e38566

Observation d2da44b3-eb10-48bc-aeb7-12ce2d697670 · outbound

This paper cites Magee and F.

On the spectral stability of finite coverings Magee and F

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:40.979373Z

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.

source=pdf_text observed=2026-08-06T15:01:40.723237Z digest=sha256:13323ba08d43d253824d089c9e050233dd766fafb308eabd35451b993a7df03f

Observation 73672976-e275-4943-b1c0-b46ed6e799a9 · outbound

This paper cites Extension of Alon's and Friedman's conjectures to Schottky surfaces.

On the spectral stability of finite coverings Extension of Alon's and Friedman's conjectures to Schottky surfaces

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:01:40.848585Z

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.

source=pdf_text observed=2026-08-06T15:01:40.727008Z digest=sha256:ec8f10fa24e2cecb725f03c5f0fbf0cc678a9dce5205f43f09dfde1289135ad6

Observation 32a96f12-fb54-41fd-ab2e-840ffe15c022 · outbound

This paper cites Magee, F.

On the spectral stability of finite coverings Magee, F

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:40.964222Z

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.

source=pdf_text observed=2026-08-06T15:01:40.733845Z digest=sha256:90617c4f51732a213f59d81684813945f47baae1915184dac300be9327182783

Observation 0b75e396-ded1-472e-a036-e773d87c7697 · outbound

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

On the spectral stability of finite coverings Strong convergence of uniformly random permutation representations of surface groups

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T15:01:40.740573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:01:40.740573Z digest=sha256:8168bf36c24c403adc644be9750342cc71ff170b9db648a6a98ba3c826ac7e24

Observation f73b01cb-b701-4ca7-8cf3-2a2d2fe1e2a3 · outbound

This paper cites Spectral gap of random covers of negatively curved noncompact surfaces.

On the spectral stability of finite coverings Spectral gap of random covers of negatively curved noncompact surfaces

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:01:40.809408Z

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.

source=pdf_text observed=2026-08-06T15:01:40.745819Z digest=sha256:066a1ba1fdaa0d146a23e43a352ad7d0c1096e88263208e8e7f5fc8823b0e30f

Observation be8ecf09-4d35-4b10-87ca-750a736d585b · outbound

This paper cites Polymerakis, Coverings preserving the bottom of the spectrum.J.

On the spectral stability of finite coverings Polymerakis, Coverings preserving the bottom of the spectrum.J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:40.950234Z

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.

source=pdf_text observed=2026-08-06T15:01:40.751074Z digest=sha256:d06a534dbada9861d28571f4133a4f38a00bd5a19035b641076e93e75a8f05f4

Observation 95de837a-a8c9-4f83-a863-03c0061a677f · outbound

This paper cites Polymerakis, On the spectrum of differential operators under Riemannian cov- erings.

On the spectral stability of finite coverings Polymerakis, On the spectrum of differential operators under Riemannian cov- erings

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:40.935501Z

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.

source=pdf_text observed=2026-08-06T15:01:40.755167Z digest=sha256:355b2cc3fabaea4c4964c55682ffa19ea335f4f25c860a564466b6580e2b76c1

Observation a949b61e-7a36-4f43-8545-489618ab9830 · outbound

This paper cites Randol, Small eigenvalues of the Laplace operator on compact Riemann surfaces.

On the spectral stability of finite coverings Randol, Small eigenvalues of the Laplace operator on compact Riemann surfaces

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:40.917740Z

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.

source=pdf_text observed=2026-08-06T15:01:40.759394Z digest=sha256:5e2eeed2fb345b43ddc7be01ec4c8e0171c56ac500bf870ea4048c640d2b6e61

Observation 1fe090be-816f-4673-8464-7104573bab64 · outbound

This paper cites Sullivan, Related aspects of positivity in Riemannian geometry.

On the spectral stability of finite coverings Sullivan, Related aspects of positivity in Riemannian geometry

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:40.901956Z

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.

source=pdf_text observed=2026-08-06T15:01:40.764229Z digest=sha256:7a47c3e8f818ce56295ba29ec7565fc9d2c513aabe29947e9616664a8892504d

Pith citing papers

Observation 77a8aec2-ac95-4b67-9c35-a7c2b061fad4 · inbound

Bass notes of random hyperbolic surfaces of large genus cites this paper.

Bass notes of random hyperbolic surfaces of large genus On the spectral stability of finite coverings

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-07-08T09:44:49.501273Z

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.

source=pdf_text observed=2026-07-08T09:35:43.652006Z digest=sha256:cd7615d182888262b33a3eae9633b6acf6607fe0b6a22d6e3b4c1cfdade059af