Pith. sign in

Paper Citation Record · LEDGER

On the spectral stability of finite coverings

As of 12 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 2026-08-12T06:34:41.77262+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
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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
raw_fallback, observed 2026-08-06T15:01:41.183118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.646607Z digest=sha256:796d86a34009f98288eb3b48b4d51df07c3627d6e7feaf282d967a0a7dab655b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.650796Z digest=sha256:91e411f151eb9ac504faccffb691181bf5071ee60335d8555bb8a6c7ef8844d4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.654544Z digest=sha256:481dad03d65e346359c9fcd69784d9d9f2f7cbfd7aead39517b3106593806c15

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.658370Z digest=sha256:04e27c8c3382be7c22ff77dd702c875428d09985a5185445228d53e2c1912104

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.663606Z digest=sha256:b1aa7886fe08f64f42778a1247ef55a8bd8006d37f96c6eb114a84578f6b3e9c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.667635Z digest=sha256:2083d296f0f52933be250fdd54d07c13ac7e1234a91393632e8134eaa29ee1be

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
raw_fallback, observed 2026-08-06T15:01:41.114561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.674133Z digest=sha256:ac4b863cb1078874d7dc4378878a87b560285a30d79cde0849b2b27ceaf130d2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.678067Z digest=sha256:e2ddb66ae3e1260179efd7a0a525ab75d41c7c533b8a5a1991d1d3db4e1319c0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.682552Z digest=sha256:e9659af486fa26c79ac5f0ccf6e4ab17b8014b6089bb20d7b1bf7f1f5414999b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.686001Z digest=sha256:b620504dc3b961337d57eecf48a5b110adc8a73ddcc3e2a745c26cf234ac38d4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.689625Z digest=sha256:687517f8df32ea625846e3c8ce48136c1233b7fec3f8dc25f29cc7f58464ff07

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.693134Z digest=sha256:b0d80da6af417d1c0ea34a53a76555fd72636f442095cb29d08e935d679db2f5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.697825Z digest=sha256:96265de1fc8f0d6ce269cc0a1deb17a45f866123009f1b96c1aedc9c5f05d197

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
raw_fallback, observed 2026-08-06T15:01:41.018452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.702115Z digest=sha256:6d9b9170d3f18696b061aa7045db71567752604f1c794e3e8833b633a108dcf0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.706265Z digest=sha256:0b1f17f295690cc65453e548595aa792668df8013c1d7b5615ffa2a947652dd5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.709820Z digest=sha256:0162eeab21d84ba431b3bec43d08339e4a348d443d984f54b9813d71157a4ea4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.714997Z digest=sha256:355519ba67bf1ecd442ebad225701a9cba9d97b51989f5b819407b0bcfa8eee9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.723237Z digest=sha256:c29c474d6ced2b62e9ca01f82ade0715cfd88a03a17724ab5ff061c650acaa48

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.727008Z digest=sha256:69211fe89efc784813fb88f35857b4e9ee7623997458a01bb8471d55f80f2c6b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.733845Z digest=sha256:0f3e7ad560d50591de5e8f4a7c7d564d64f731657ee4ca3a7f721ccb2338db25

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.745819Z digest=sha256:ec343657792df0ea05389cb06503b5cc570d77b09596b8d695132649da8f273e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.751074Z digest=sha256:cd6aa9b07b238f837d66b86f5abe91524808ef6704349039c6840deee8aba1cf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.755167Z digest=sha256:60cd359a6f5918bba5b1ffa0a4e05799a54718d791e9f3b327d19d0dc8d9ae29

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.759394Z digest=sha256:0a155fb9afc16fee759e7082a5a3abf4edab902ffaf24806e40ba0f67c46bbfe

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:01:40.764229Z digest=sha256:4db0aa75b2421214bdabf9ccdaeaf2bd849a261676385fc19e4c9042cdc5546f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-08T09:35:43.652006Z digest=sha256:a7e0da0f38ff0f4f28a843b72609d63123fbbaeed12879e64bbe45a3244505bf