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Paper Citation Record · LEDGER

Limit points of uniform arithmetic bass notes

As of 20 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 2026-08-19T06:32:44.657259+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:f484394ff935a859e39b2286cec247160c5d58b19d3d850bdc15332c2c80924d

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=sha256:59deb551210fe93e18f8be955fdf42291a9cc017d0adaf6abc89aa761fd568eb

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T11:44:40.350444Z digest=sha256:3e6c95be0caaf188b421dd2d8d67518edf14cbd95ea5522c1a569a3294ab8c30

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T11:44:40.322307Z digest=sha256:38e9f848e610d9500e487d889d325beecb46e19fd9b7cc08f25e11612b774c8c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T11:44:40.298875Z digest=sha256:a07ca9a2c909ae959feb105686f5bea4c08df72a438d23d5395c440cb4f185f6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T11:44:40.365916Z digest=sha256:0aaa6ecfcfe81ce4837182af3bf22a1617d2fbed7db4b9925f8941a8ac0a3442

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:f5758a1f1bb7f766455cfe725f4d3cf8c2d038ddb8d6a08d62d82adcb3ddef6c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T11:44:40.311286Z digest=sha256:3ed19530dd248149c866a40a1a803f33145e610a95a0b13d0ba74028202c1aab

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:d5433af8e5b5c5ac6b052bbc403bec94317bc0ab4c9250d3dec67c9224eca758

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T11:44:40.305366Z digest=sha256:00578e1847015374af33b4e8a5bfe440d03066d8ab6bb76683ed739cdcf840f0

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=sha256:17018019c317b502097b10501de7518d078023552e9aaf48240faf52b75b6581

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T11:44:40.316739Z digest=sha256:f0d35c818d3d6d06731630384245fa9b40f646416d8b24b1edb84009d2f4fd5b

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=sha256:3cce0ec911848c80f3081832e9b029218464696bc1edd8bf46c68794bc9636c7

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=sha256:595d74142e90e78f5e50f82e1650704e6a978318cad4f7b12395824b1625a7a7

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T09:35:43.652006Z digest=sha256:b38355300ec3a38ce969c064fcbcf9f322c74b4b19587f352a19a1bea8813dcf