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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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.196592Z digest=sha256:6ed8a16c98aa875458b3e70d1c6a1aece94fc4da8265abba10a568483e8d2594

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.201708Z digest=sha256:147667b4148ec8b857e35b0505a782ef770de93449c8a3c262ec5f5ed7db9926

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.207081Z digest=sha256:5d312a43e879025f8c879ef3ec310a8d1149d6258afa7443941a5efb39843276

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.211486Z digest=sha256:33c04c29105920b215392eda929ab0b6864cd1c868a18f4750bb1098e6181cb1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.215716Z digest=sha256:8f939e12b8e170959b8d3df3aa064eb0c35f4e15a63ecb8fbbaa122d42ecc7c3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.219680Z digest=sha256:d37d2155aa0f45ac97992d615ac18884688c73fe8bd988e555469a00cae3b520

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.224499Z digest=sha256:192e0838b5f8f95dd6a69828f1a11f7a549f77f1b7aac6583540e533e841c77a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.228797Z digest=sha256:a0fab1ec9ba17b729e4d78e14629e646469c3dbfa53fb0414b3e051b124801c1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.232563Z digest=sha256:fee1bd02071795e8f2247f4028f12027f401b098cb9129e4bffd2bba5289d61c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.236099Z digest=sha256:4116c6b077731a719eefbefed4c38f5d31b80408cc418054c5b1f48d1e711b7b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.245247Z digest=sha256:81e10841aa08c2229eb9d75511bf1d6a57c66e2d461828c6c96912afe44a3cff

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.249584Z digest=sha256:665a3f939f7c65f1bf1e24b42587bd0fe1522ce6e87c117aa04711c363460c6e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.254116Z digest=sha256:fd71740a2d4e6738b9f8afd871176e3d161cd40cd2c0d31600cca6a14029b33e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.258000Z digest=sha256:46ccbda1526c122be0f5eaeea97d35c3663783d7930a9e1afeba0330dd9f0b3c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.262312Z digest=sha256:f80f6b5e02abcf62e7adb820d8ba877918e5c4f7ab42c10ab07c6763e5fda10b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.266104Z digest=sha256:fcf6c684cc0bf7fbbcc70ba603fce8a81c6a92ebbf0b5594c5cb439370c9881a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.273772Z digest=sha256:1712fa1cd13a30ead5b8f74d33ca5e65276d269e634889a672b7221fb5857261

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.277746Z digest=sha256:7815467d47ef517ec545ceb76dbc8e01490b712aef9656aa5ef1e23ca6c7b92e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.281945Z digest=sha256:b279812e491615a0b2ceea66473924c3bbed7e1216a8c1a91f9009d9a6e2a155

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.286823Z digest=sha256:f6707e176225229127b8b1abeeb3cc02eb31fdb13fe8233d3a354c5a51d0c790

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.290690Z digest=sha256:aad2fc22872fe7a000d3c9d8cb17d5d09a09076eef38f9d36ef73ae3a9d050f2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.298153Z digest=sha256:f168d82ef37f88ad83afafcdd8259dd38106d32f399b4717e0d722b722294b3e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.301851Z digest=sha256:b05594079ff092a49fb344a8eb394b6431575343274d32df32ec9e03fd37a359

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.305433Z digest=sha256:b3327a08ce11a5e14c53a194ed0985f69c3320f27abf53fb47ed3bec3ae909a2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T12:42:25.239935Z digest=sha256:39cf8720a836bfb40f18ed2c6af7e19c90fba3d5201f93b8b31796b4c9a9ceb2

Pith citing papers

No inbound Pith citation observations are available.