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Paper Citation Record · LEDGER

On the spectral aspect density hypothesis and application

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.196592Z digest=sha256:08cb205d7e9183fda47350a872c70f79372a46697eab2532e4e3b45b5622f265

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.201708Z digest=sha256:082de32a91e9bc34bdd9621676959d00fee8358546f18548d08eda7da0b7af45

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.207081Z digest=sha256:1549c44b23ee86e883f393bcecc52e67486d10b40cb58e18845f713044b9d282

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.211486Z digest=sha256:519069707eea94d6b612676e40af4b6d25169e8293dd6347af82f423a13d6d65

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.215716Z digest=sha256:bd6147fd068a483f37224ddcb21a3d5eab3d08d3ef8f950f1ca3ac1ad22b3a20

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.219680Z digest=sha256:c90f174b667af7d529e4d984d0f9db2f1ab760e2a5644d58d9a7feb49c89947f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.224499Z digest=sha256:fe14f48622c4f3ab4448b6d985a598783b34533fb9675ca949626a4963ada445

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.228797Z digest=sha256:4825fec47b6b021990cb23a855e4fec0dc22b238341426236bfdc55b597840f6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.232563Z digest=sha256:04764e62a711bc8c7f655c10e7ab035ff0db17a294a408917c3a733390376249

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.236099Z digest=sha256:9f474f9d64b57cde6a79a8dc62c7523a7e1700c2ddef8469dc0167b3d4d1250b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.245247Z digest=sha256:40d2bf8bedf5670f8710a81bad5667b798197108666b06d13ec0d26e337c8017

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.249584Z digest=sha256:e0e3804068a052370ec1e1668b389a4cbc8e81f0fb4ebcb7c3ce57fc2e288ba8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.254116Z digest=sha256:1d3ed761f14cca900af19c6008f3e9f57462e94360daf47f1c45b79a409a0ac8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.258000Z digest=sha256:8620a6c8d39c8e33d27dea9f511d35a7f0ebfd987f514ffc2d9a9c15839c230e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.262312Z digest=sha256:7b404fab27f31b17d4aede22fea561c85887d564a17cff189b0f5d85719ed06e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.266104Z digest=sha256:144c67a8f7d83c7f8a3b54b073d34ab77fda72d72ba8fdeff962f2e6b1eb81f5

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=sha256:3ec21511b5d50ecd9fd2e0b16d360bacd83f919f96ecd35bc68ebd68e82a5fac

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.273772Z digest=sha256:5d5f490c4ec882a40d43caf496266f95d13a814eb0c2b3626d2dbebebb42a369

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.277746Z digest=sha256:0351d9214df0fc568f526429f7dad1d2c82375254f636ed30ea783d1ff704be7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.281945Z digest=sha256:b7b5221f6e8b464b6538ab45b5ffe1e339bddf962aad3eb6074f26ea2e9dfb9b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.286823Z digest=sha256:c5c97865e9d11320f48f1f5bb33995cba74a84c776e64541b851f9d30690a55a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.290690Z digest=sha256:89395638b723df0b69b2355f98b006dca1034fbdc2769206b9a09c52ff0cc194

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=sha256:9d6e75a21036c7e5a4f27b4cce8ac2bb4e65ee214df5d602b0b6de7b55ec80b3

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.298153Z digest=sha256:98d36d8396e9cd2d404f5f1b0fe02a56c63070141a3da56729f8f73b3215e733

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.301851Z digest=sha256:bf97df59c986ae6139165c9e95cbb172c79501055202a5c444e7b74fba088182

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.305433Z digest=sha256:90ab8ad7f0dd2837b3cd467380f0842993f9d581755fc150ebd5be33019c9ab3

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T12:42:25.239935Z digest=sha256:0e690bd897b9a679653eae3fc722219c2fb514d4f9d3ee1756dfbbfd778a9eb3

Pith citing papers

No inbound Pith citation observations are available.