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Paper Citation Record · LEDGER

On the spectral aspect density hypothesis and application

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.196592Z digest=sha256:99c7ac17f47a36721ede0153ccedb46144a0e5c60d70d9be2b814610b7e57011

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.201708Z digest=sha256:a15ce219e32e06ee8f269ec983ad83e87366a3ba84b65a7de6551432d8ed3b75

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.207081Z digest=sha256:7793fc2670fa746d9a7ead02cec239d1376ad62be6216f087bf98f849342278b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.211486Z digest=sha256:40fa80cb6c05e765566312adaaca99f7c908c28aac22833fce5f583dc775803a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.215716Z digest=sha256:d4850427bc17a8f3a4f665b390cc1e30d3f8abc655dd81be0d0cf0527aa4de9c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.219680Z digest=sha256:d0b3f7c4aba1f7e4aaaf6e4bb330e9c96cf821119f0e1565b0374bfc2f2a45d1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.224499Z digest=sha256:0028b2c43801a76441f8dc1795b597a5d1d757f61471e8d182d3ceae51a81f78

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.228797Z digest=sha256:5e48e1008a0ae992aef2bf7a43f26f8ae43016d1cc331609291029c3e278d6dc

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.232563Z digest=sha256:ef13495790c46f96517b1dcc80238f32fd7f84b6087f14ffa3b51556be851ab7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.236099Z digest=sha256:06cba075f9818a14970598448ca33160a42ec38e2fdadf424c120657d6536023

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.245247Z digest=sha256:ae5795ba67e11ccee2ba07c41fe3bf41394b0ab17f097abc0be4c630558cf35f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.249584Z digest=sha256:5b93aee13ca2e1bfae45a3f88c258c4160089a15d94398b447e463ac144d4ef4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.254116Z digest=sha256:7e5b5fe5a05cebb569b54343e64c0177dce730e3ea9aef07fffda69b12aa5ae9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.258000Z digest=sha256:2fb157878aa1194e0c687d45199aac364a400c87e1d4226295838fd88acfd739

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.266104Z digest=sha256:2de57e6ffe430a46bdd6e6e1bfa14584ae45a1696ee8e5414c42cd6a56a60da1

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=sha256:9f177c2ba6b23cbc45b29fb3ed7deb5f6efdf1b4bf748233942b06f7b13afdf5

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.273772Z digest=sha256:add94b92df3d521463d4a264f31a630db573f779d4655daf7ce49596e8c9a955

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.277746Z digest=sha256:8be8496241b9fda397361c3ee6538ffbc823ab099035b7a11eb6291f9918dd0b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.281945Z digest=sha256:2b561c9be0abfefc8b21d3dfae9c5e7ae123a2d807e1567a7f0f540a5050260b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.286823Z digest=sha256:e313f088a850081bc1c046f6ca0169d285d71cdce4d999ace6231cdc4fa23b8c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.290690Z digest=sha256:4849837ff656a5c1c51e336f7b58822a6780cd811cebfcaf001e0ac908364bc9

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=sha256:105db632831a9517da090c7d7d97d9e007962a9d22b18c969b41ee7e49aa8d35

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.298153Z digest=sha256:784a104fd6df64e734b13f5219e02bb9efd2eb1ff7af18e1e08beacbceb981d6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.301851Z digest=sha256:c1111e741ef18131a5b1ebb7e305e5b931c52ba1ac4ab67bd942bbed3c550cd8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:42:25.305433Z digest=sha256:7a8b39ccf7a19f2323fc327ad8008298b1aa0017ea3d994acf4891037040f99e

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 2026-08-18T06:34:40.430872+00:00.

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Pith citing papers

No inbound Pith citation observations are available.