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Paper Citation Record · LEDGER

On the spectral aspect density hypothesis and application

As of 19 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2504.12150.

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

pith.paper-citation-record.v1
2504.12150 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:42:25.305433Z

measured 27 of 27 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

  • verified exact3
  • verified fuzzy13
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b7355ced-755d-4499-b622-1052810d01df · outbound

This paper cites Assing and V.

On the spectral aspect density hypothesis and application Assing and V

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.659543Z

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=2026-08-16T12:42:25.196592Z digest=sha256:1dab64d40f04bfe7015a57ae5b7eae416ed01c4e697acc61398da39fe5ef1f0f

Observation 24dce5b0-e533-4028-802d-d6316eaa0555 · outbound

This paper cites Local analysis of the Kuznetsov formula and the density conjecture.

On the spectral aspect density hypothesis and application Local analysis of the Kuznetsov formula and the density conjecture

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-16T12:42:25.405171Z

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=2026-08-16T12:42:25.201708Z digest=sha256:185b65130b71ec5b3a07684785299c1bdfc27f97d599121470dfe88057118bb4

Observation ee1423e7-b74a-4bc6-b224-0852806afbab · outbound

This paper cites an unresolved cited work.

On the spectral aspect density hypothesis and application Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:42:25.648351Z

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=2026-08-16T12:42:25.207081Z digest=sha256:fdd4ab60cfdd8e510c332a6f9ffc2da486786c2d070ff3cebe3479024f2ae56a

Observation 3dea1cec-abfd-42f0-85ec-f253b039721d · outbound

This paper cites an unresolved cited work.

On the spectral aspect density hypothesis and application Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:42:25.636690Z

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=2026-08-16T12:42:25.211486Z digest=sha256:22c5297aa289414af1f16e586eeb1e48312db86a554d9e18412ba37ba96542fc

Observation 495a11e0-98ef-4072-8300-f6c73c4a40e2 · outbound

This paper cites Blomer and F.

On the spectral aspect density hypothesis and application Blomer and F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.624773Z

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=2026-08-16T12:42:25.215716Z digest=sha256:f1dc750e4141ad0ce671d5227ce2cb436d2fb64c04a14005be58531e8cd724c5

Observation b7f41411-f4c9-4983-85e8-ede0727de0f4 · outbound

This paper cites Blomer, J.

On the spectral aspect density hypothesis and application Blomer, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.613189Z

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=2026-08-16T12:42:25.219680Z digest=sha256:86180178a0c3100fa68e5e37c002d2094e6aad722ae380106cc90030b1a2a026

Observation a92a0cde-6236-4fd1-b6b0-85b49d156350 · outbound

This paper cites Automorphic density estimates and optimal Diophantine exponents.

On the spectral aspect density hypothesis and application Automorphic density estimates and optimal Diophantine exponents

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-16T12:42:25.388786Z

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=2026-08-16T12:42:25.224499Z digest=sha256:522ec6af66faca4015da8e0d846f4cf753c83d75ee61d2e1f7e8d612d52da1d1

Observation 3fcc610f-af46-49e5-9ee9-60de30c7e6c9 · outbound

This paper cites Fraczyk, G.

On the spectral aspect density hypothesis and application Fraczyk, G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.601742Z

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=2026-08-16T12:42:25.228797Z digest=sha256:3b0106dc1d210a3d36a207416490ead284c98f56be5585e5909477ccd126999f

Observation d24442a2-75c7-4ea1-99fe-3378f5f73ed0 · outbound

This paper cites an unresolved cited work.

On the spectral aspect density hypothesis and application Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:42:25.590658Z

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=2026-08-16T12:42:25.232563Z digest=sha256:66fbb0f77da1edcd100a793d6a49804ac1b4e71399f9d1caf4ea868d9ca7314e

Observation 6f99d20f-3b97-4ad5-8365-01257351c2cd · outbound

This paper cites Ghosh, A.

On the spectral aspect density hypothesis and application Ghosh, A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.578199Z

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=2026-08-16T12:42:25.236099Z digest=sha256:dee459635742ba3f2e49b4c726fba771b0dcb0fbcaa1a3c6995f9a4788376aef

Observation 6533d21e-10d9-4231-b76b-7a5c45eeecc5 · outbound

This paper cites Ghosh, A.

On the spectral aspect density hypothesis and application Ghosh, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.556342Z

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=2026-08-16T12:42:25.245247Z digest=sha256:d63375fb653cfdeed2ed09c00c56ac0ce9e79b7c121477dc8cbebafc39b72da6

Observation 88234082-b67e-4dfa-9df8-542a9f946e91 · outbound

This paper cites Humphries.

On the spectral aspect density hypothesis and application Humphries

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.545931Z

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=2026-08-16T12:42:25.249584Z digest=sha256:3643c48fd6f04ed18564aa1f02bb0ac97b03e6d76e89d29d9da633753425f1e1

Observation cb45f3cc-2527-4a47-96fb-6acf1ceca5e6 · outbound

This paper cites an unresolved cited work.

On the spectral aspect density hypothesis and application Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:42:25.534794Z

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=2026-08-16T12:42:25.254116Z digest=sha256:05a21719c1aa2b898e5554d027184c1a41053a9248e7fd7201300d3e32cf974d

Observation 60beb82c-c04e-4a04-a4db-f96bcaf56202 · outbound

This paper cites an unresolved cited work.

On the spectral aspect density hypothesis and application Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:42:25.523135Z

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=2026-08-16T12:42:25.258000Z digest=sha256:227ed50d1b436c4f68f5cc64292a628131120ec734123e4f858aa1a882997caa

Observation 304afe89-1886-4e2e-af02-96803edcb648 · outbound

This paper cites Jana and A.

On the spectral aspect density hypothesis and application Jana and A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.511232Z

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=2026-08-16T12:42:25.262312Z digest=sha256:d3ff096d1dd83f3538ed6694c900f6f7ff03a0a9389753940081c50d9c036ea9

Observation e38c0486-8ee1-491f-8f52-f324e29352c8 · outbound

This paper cites Jana and A.

On the spectral aspect density hypothesis and application Jana and A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.500343Z

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=2026-08-16T12:42:25.266104Z digest=sha256:b54f1d23e8d69651c93b677c99a964aba012e1069ff2036ec7f9812a00b0e499

Observation 3ee84f82-3bc4-4302-929b-1e3bf0ddb749 · outbound

This paper cites Analytic newvectors for $\mathrm{GL}_n(\mathbb{R})$.

On the spectral aspect density hypothesis and application Analytic newvectors for $\mathrm{GL}_n(\mathbb{R})$

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-16T12:42:25.269758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:42:25.269758Z digest=sha256:8008118db00409cb50661e4aa76a3a67fdfebb545a96007d8990695af7f99c6a

Observation a1130a4b-447e-4b98-a623-4c6e9a929bbc · outbound

This paper cites Lapid and Z.

On the spectral aspect density hypothesis and application Lapid and Z

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.489325Z

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=2026-08-16T12:42:25.273772Z digest=sha256:26e1099d735be0bfc94961a56c2c45b244506bf08bddd6ab9d991209c4a90ef8

Observation 0b060304-c170-4d5b-bfc6-90b90553abb4 · outbound

This paper cites an unresolved cited work.

On the spectral aspect density hypothesis and application Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:42:25.477667Z

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=2026-08-16T12:42:25.277746Z digest=sha256:a2ec3d24e82714105dc86659a089cbda9fd285f3f49d63d1083389fd4b763ae1

Observation 3286f7a2-4157-4aa3-9535-9f3dc8a8f1ba · outbound

This paper cites Bounds for Kloosterman Sums for $\mathrm{GL}_n$.

On the spectral aspect density hypothesis and application Bounds for Kloosterman Sums for $\mathrm{GL}_n$

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-16T12:42:25.358445Z

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=2026-08-16T12:42:25.281945Z digest=sha256:8b5e0adc48f885ebcfe89dc01d03ec7024e4e7a003f2348fc49996367ac5cd38

Observation cb9be2f6-92ba-4c7f-a50e-566081e6c644 · outbound

This paper cites Matz and N.

On the spectral aspect density hypothesis and application Matz and N

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.466691Z

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.

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Observation 97ed4a1a-d6de-40c2-b929-5a5ad57ef88e · outbound

This paper cites M¨ uller.

On the spectral aspect density hypothesis and application M¨ uller

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.455237Z

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=2026-08-16T12:42:25.290690Z digest=sha256:9ccc347e2e8a10f85bd6e96884bd1726a10bb849591ef94620fc67c7ff150da5

Observation 229ed441-0130-41fc-a30d-25edeecec6b1 · outbound

This paper cites Bounds for standard $L$-functions.

On the spectral aspect density hypothesis and application Bounds for standard $L$-functions

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-16T12:42:25.294247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:42:25.294247Z digest=sha256:2677e6c1555d7c7324f66e376d1d8b16c0cfb3da74901ce685c6f40c23606a19

Observation 7d738cc8-f7af-46a1-949b-c1d7d091e41f · outbound

This paper cites an unresolved cited work.

On the spectral aspect density hypothesis and application Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:42:25.443339Z

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=2026-08-16T12:42:25.298153Z digest=sha256:c754a2bd2c5afa1654f9c5f42bfc8738830246f05ca7a8ae3d64f38456c9fd08

Observation 19279f7d-8d57-435d-9ff0-0e7835610d08 · outbound

This paper cites an unresolved cited work.

On the spectral aspect density hypothesis and application Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:42:25.430765Z

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=2026-08-16T12:42:25.301851Z digest=sha256:5375e2bf2d121cdd95020b5263788d0ae8089f5ced6036cc96efc6e489cb1ed3

Observation 134bf569-c91a-42af-abad-8289ce1cc386 · outbound

This paper cites Sarnak and X.

On the spectral aspect density hypothesis and application Sarnak and X

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:42:25.417318Z

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=2026-08-16T12:42:25.305433Z digest=sha256:46abd86a554ed72a47990181fbd05f21c6fbf76d7ecf1a8781599350a38f0fb0

Observation f9e79234-2237-45ac-8225-d048835217fe · outbound

This paper cites an unresolved cited work.

On the spectral aspect density hypothesis and application Unresolved cited work

Reference 200

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:42:25.566853Z

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.

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Pith citing papers

No inbound Pith citation observations are available.