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Paper Citation Record · LEDGER

Limit points of uniform arithmetic bass notes

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2412.15111.

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

pith.paper-citation-record.v1
2412.15111 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:44:40.365916Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:25:03.899249Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T09:44:49.503132Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact3
  • verified fuzzy4
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e63d6a30-2c14-4de5-8e31-352e280bd80e · outbound

This paper cites Linear programming bounds for hyperbolic sur- faces.

Limit points of uniform arithmetic bass notes Linear programming bounds for hyperbolic sur- faces

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T11:44:40.334011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:44:40.334011Z digest=sha256:bac5ff440cca88c5583eec3b5244bd6f734b9c5ce47c2cd89bf97f707c815bbb

Observation ca6cb2e9-a159-46be-90f7-cb74316488f7 · outbound

This paper cites The limit points of the bass notes of arithmetic hyperbolic surfaces.

Limit points of uniform arithmetic bass notes The limit points of the bass notes of arithmetic hyperbolic surfaces

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T11:44:40.345011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:44:40.345011Z digest=sha256:d3911a1ebb02ce8cb18e8bdc0cb9709e7ad5ab17ba116ce31e70ec7f24a571c9

Observation d8596ca6-4b12-4fd2-9f06-a221c4eeb012 · outbound

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

Limit points of uniform arithmetic bass notes Strong convergence of unitary and permutation representations of discrete groups

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:44:40.726925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T11:44:40.350444Z digest=sha256:f5cbf76ee7f912fcce5c1f9f154f6d7c9e9264891cc97f105b131e6cae9ea6ba

Observation c6f6a31d-7097-4f25-ae4c-06374395f5a7 · outbound

This paper cites Arbitrary Spectral Edge of Regular Graphs.

Limit points of uniform arithmetic bass notes Arbitrary Spectral Edge of Regular Graphs

Reference 1969

Resolution
verified exact
local_arxiv, observed 2026-08-11T11:44:40.685887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T11:44:40.322307Z digest=sha256:d55651df9432db05507cf3d5335283c93ddb9764659d0781ef5551d2acfbacb2

Observation c48a75b5-1056-452c-806b-4f9cbcad300d · outbound

This paper cites The limit points of the top and bottom eigenvalues of regular graphs.

Limit points of uniform arithmetic bass notes The limit points of the top and bottom eigenvalues of regular graphs

Reference 1999

Resolution
verified exact
local_arxiv, observed 2026-08-11T11:44:40.710184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T11:44:40.298875Z digest=sha256:0560f597717f44706236aad48a780a1cb9670317593af377bb1f8e4f1bdedde8

Observation 22bb4a06-b8bc-487c-8c8d-c3d45f314a40 · outbound

This paper cites Strongly convergent unitary representations of right-angled Artin groups.

Limit points of uniform arithmetic bass notes Strongly convergent unitary representations of right-angled Artin groups

Reference 2003

Resolution
verified exact
local_arxiv, observed 2026-08-11T11:44:40.410144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T11:44:40.365916Z digest=sha256:dd3d636b9394240d9e6ce35ff75dea65da7b9dbaf109a4c43f60f68417795c6c

Observation b57de37f-a4d2-43fc-a977-0173d85f58d2 · outbound

This paper cites Diameter of a new model of random hyperbolic surfaces.

Limit points of uniform arithmetic bass notes Diameter of a new model of random hyperbolic surfaces

Reference 2005

Resolution
unresolved
no resolver link, observed 2026-08-11T11:44:40.355355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:44:40.355355Z digest=sha256:e7d5c9fd3f323bbcd9604708566a2a3d5f33e59633a81169180e5961c805401c

Observation 0f991c91-b4d4-41b6-90fe-3ad957fd1d95 · outbound

This paper cites [CFKS87] H.

Limit points of uniform arithmetic bass notes [CFKS87] H

Reference 2010

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:44:40.759793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T11:44:40.311286Z digest=sha256:41e71a6f23010a98335d4c3acad027dc1ab90424d05c723772c7c23bb3fea684

Observation 7111f249-8e11-4377-a084-d78e59aaee33 · outbound

This paper cites Counting Mapping Class group orbits on hyperbolic surfaces.

Limit points of uniform arithmetic bass notes Counting Mapping Class group orbits on hyperbolic surfaces

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-11T11:44:40.360291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:44:40.360291Z digest=sha256:5fa3e2ba9de6c96ce88a34decfb7e0cddebbb16102d0f03a4635fdd3a6bbc351

Observation 06fe7616-ca3d-4c67-a9c3-60a5af92eef9 · outbound

This paper cites [Bon22] J.

Limit points of uniform arithmetic bass notes [Bon22] J

Reference 2016

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:44:40.778175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T11:44:40.305366Z digest=sha256:47f312c2d53d79402db7787f376d4e4c5f2ff83caf72aa7b56662a2e207d96f2

Observation beee780d-d7c4-427a-931d-2ad592f84ef4 · outbound

This paper cites Strongly convergent unitary representations of limit groups.

Limit points of uniform arithmetic bass notes Strongly convergent unitary representations of limit groups

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-11T11:44:40.339136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:44:40.339136Z digest=sha256:2b5dccf7ba3a2865fc37f3115cd53098bd6dc9c87fbc4f91c0436c7bdf61c8d5

Observation ed553f8e-2fc5-4837-a670-e3e49f8466a4 · outbound

This paper cites [Dix69] J.

Limit points of uniform arithmetic bass notes [Dix69] J

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:44:40.743183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T11:44:40.316739Z digest=sha256:585b0385605a298db1c656db57c545343dcae86ee6a912e0451f8882e86bcc69

Observation ad0c5551-ec70-4ab0-8058-d215939715ee · outbound

This paper cites Three counterexamples to a conjecture of Colin de Verdi\`ere on multiplicity.

Limit points of uniform arithmetic bass notes Three counterexamples to a conjecture of Colin de Verdi\`ere on multiplicity

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-11T11:44:40.327625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:44:40.327625Z digest=sha256:4922bac771ee352e7c7d6d09ffb114029eb4b5225d0da9ce780b08ff0ebe7484

Pith citing papers

Observation f2f14625-f967-4774-bb25-ad48480620ed · inbound

Spectral gaps on thick part of moduli spaces cites this paper.

Spectral gaps on thick part of moduli spaces Limit points of uniform arithmetic bass notes

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-10T20:25:03.899249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:25:03.899249Z digest=sha256:7ca0d29a11ed641eb51d45eaa709983963e7bc71dc41778c68243717ac9070be

Observation 812cafc7-16d4-41c2-ae31-246798bb8018 · inbound

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

Bass notes of random hyperbolic surfaces of large genus Limit points of uniform arithmetic bass notes

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-07-08T09:44:49.504638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-08T09:35:43.652006Z digest=sha256:8c007d758103c8ac3b65ff2a321b506678ac830343dda56a556f9e09622bda50