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Paper Citation Record · LEDGER

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields

As of 24 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.06348.

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

pith.paper-citation-record.v1
1908.06348 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:03:21.851965Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

30 of 30 outbound references displayed

  • verified exact2
  • verified fuzzy7
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3ba47a41-fc36-4ae6-bf16-fcfa9eb6c458 · outbound

This paper cites Alpoge, N.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Alpoge, N

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:03:22.898864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.484355Z digest=sha256:e7e3956625a69f998f75cbc8482530d108ebf3c1e5025f5f56f5b0588da11d60

Observation a45a5932-4266-47ce-8c47-41f93648dbf5 · outbound

This paper cites A Bessel delta-method and exponential sums for GL(2).

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields A Bessel delta-method and exponential sums for GL(2)

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:03:21.981066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.533085Z digest=sha256:5a2a87d013364a81c89bb0e11d548b25796e9a89db270a5a3ed331afc7c9ee44

Observation 0fa0a793-1e72-4873-8de8-03b1c06b2a25 · outbound

This paper cites Alpoge and S.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Alpoge and S

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T13:03:21.609866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:03:21.609866Z digest=sha256:80b03d686f453cf3e49d42f02c6364789f6d8d75e308d7d780afb240aa761c06

Observation 52e947b6-3965-4c36-ae74-26106d7a8670 · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.845109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.614903Z digest=sha256:a6e6e971c55a72b2f21bfa6a7c8501fec76dc9128753ec42f9e788fbc0bd986f

Observation 689358c8-749e-4d5c-b1b7-ca7dbe89b6a9 · outbound

This paper cites Blomer and F.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Blomer and F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:03:22.795828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.619253Z digest=sha256:56e84c1d737c2126040b6cc607cf3758902736e513dac349f2e213b27584c4eb

Observation 91adbda5-9686-445a-b38a-8737483ffb3a · outbound

This paper cites Barrett, F.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Barrett, F

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:03:22.780920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.624180Z digest=sha256:6272281541073f0c93377a402582c1840d05edd02922a7eba898e10f166768f6

Observation 15d0ba61-4722-433c-834d-7ff6887ac6de · outbound

This paper cites Blomer, R.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Blomer, R

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T13:03:21.628863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:03:21.628863Z digest=sha256:810d3f632e255acc79566e3108a9b75e1e5bd66b7fb823cb93ec07a61c2cb29c

Observation e3d00128-1d6d-4506-901b-b49a36b21229 · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.732206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.632761Z digest=sha256:5e15e1833e0daa3db6b9a8a3c1b39e1daade38bb8d3be53b708dfb6bf8c469a9

Observation dd1170e1-0d6e-4560-a5fb-1111f800f759 · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.660590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.637145Z digest=sha256:fbed59f409939e426cb09192d2f42100c21955556b2184980a49894918f4c6ff

Observation 0407e320-e969-4a70-92c4-4e38d81eb880 · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T13:03:21.640815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:03:21.640815Z digest=sha256:98dcd1dfe9560e54718abe8bae5d3e677f9401566408d435cce4e3d4d4bcaa57

Observation 36075d3f-8502-4c60-bf13-04aaf43af02f · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.640734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.645159Z digest=sha256:ec2fa4e525fbb9fb7cf7c89bea7f0e17d769272f73fe3b898a39b01eb22d8bd4

Observation 912beee4-21dd-41ef-a42f-46538cf54420 · outbound

This paper cites Elstrodt, F.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Elstrodt, F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:03:22.561125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.650341Z digest=sha256:d193597fb0b70cfbe7604efc490b96c89ab5789ce81faf32ed7f424a94522dc1

Observation 016a66a0-0334-498f-9a60-047a81d01e9b · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.467907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.654929Z digest=sha256:4c1f1b4458292b233379ab4afd993a506239930c6b9df28b9e039014b4fd3bdc

Observation 1c9a16b9-b207-463a-88ce-ee46fc88fbea · outbound

This paper cites Iwaniec, W.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Iwaniec, W

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T13:03:21.704682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:03:21.704682Z digest=sha256:692bba548089c414e997bb73fc03cbfdead6f87ebf7fe5fd3b23ecebd2b16986

Observation d30d836a-d8e3-4ea8-8a3d-2924cc226183 · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.403470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.709354Z digest=sha256:dea60c6dadc7e9afdb754bd3ad596e488c3db3bfe2a638240ed046a2165a6f53

Observation 8033bd76-0fe9-41ea-99ba-a1f4f8f2582d · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.389962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.713416Z digest=sha256:90cef138d81f70c51a5557595b5f328d9fa86542fc0f732f78ff902e75bf1dcf

Observation f2b2d1a2-f474-4075-b1a6-aaf9e1bab45f · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T13:03:21.717024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:03:21.717024Z digest=sha256:ac1efe4ca9404d196b1f722d613bca9d854562f8eb8ca294e63c627dc0ea08bf

Observation e78ab115-7b9c-4c94-8f01-64148d8e3e4d · outbound

This paper cites Lokvenec-Guleska.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Lokvenec-Guleska

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:03:22.368789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.721460Z digest=sha256:9210f342ce5eaaa3e08fa257a9bfb2a7070fa816bfbe7627bda205a3003e3163

Observation a5204b02-cf8d-48b4-a639-7f802c208d6a · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.317300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.725585Z digest=sha256:1b7c960cad970e5530c6debb5d35ee867ef25c6aee5e83dd6730fca36b5854ac

Observation 08262e78-fb57-4044-9b32-8263f5f0ac2e · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.302202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.729716Z digest=sha256:16a92ac4f00ccf29c08c2a8e3fdd85e11d9d7fc3d48ba97d2c9729c4b8dc0610

Observation a7225487-0070-48eb-a3ca-bd38bf7d8366 · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.289295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.734030Z digest=sha256:c9639cb9affc032194a73591d3e60a986af2bb44fa0a244ea9e25246e6cfc5dc

Observation c907e3a7-711a-44a8-bd88-5cd178e8fcc8 · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.274949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.738077Z digest=sha256:e28320ffd3ade720fff7527285f6d68ab734adbc983405c6f778c3472969b8c8

Observation a5849da0-b340-479e-b088-0d3a1ed184b2 · outbound

This paper cites Mackall, S.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Mackall, S

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:03:22.261548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.741809Z digest=sha256:65d4a35067484e021488b9ea49409dbb49dbc90b8e58e9375d44508198e47a69

Observation a63bd591-bdd1-44e8-b7cc-bcc692cac8fb · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.198498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.745450Z digest=sha256:7955fa1f48e5a583270e9a60ae2691f6dd7f7deffe8eceecc97ba1ccea59f9cb

Observation 2c7c9d37-38bf-46cc-ac5e-25628b3b8255 · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.183702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.749975Z digest=sha256:71c2f9c9833788789aad2b98fad4ffa323ad559ef3b32874d9b3f37cc0069f21

Observation 33a3e28d-3365-4a91-a3d0-415f67328128 · outbound

This paper cites Theory of Fundamental Bessel Functions of High Rank.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Theory of Fundamental Bessel Functions of High Rank

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:03:21.940217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.755301Z digest=sha256:a8f622c796e3d016cf1374bddc03e553c2362420b7a4fe06b0ba259f0fb80a76

Observation c9e072a2-219c-4821-8b2a-1aa24cd13aab · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:03:22.114068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.780932Z digest=sha256:aff140956afeb0eb793629df725587256a5f33aed1000396cba21ade592d1b03

Observation 724bc06e-b7a8-4268-a9f3-5fec36c8a034 · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-14T13:03:21.829524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:03:21.829524Z digest=sha256:48eee93ff4dcaacefc6d2d2a0b161b548db40f212e9cffe4a46467e22cebb2c3

Observation 5aea4350-c89f-4047-8713-b7d09ba4d581 · outbound

This paper cites Venkatesh.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Venkatesh

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:03:22.040941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:03:21.846512Z digest=sha256:8be9e0dc627cc7093ba5143d1fb2ab6d477fc5f7735065e078b460fe0bcaf398

Observation ec6b7220-7532-4bb2-b2ff-1d3b31bd121c · outbound

This paper cites an unresolved cited work.

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-14T13:03:21.851965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:03:21.851965Z digest=sha256:078a5ac39465aa9b5d434fef8604aad4c76692ddd04383007f3e50d24687320d

Pith citing papers

No inbound Pith citation observations are available.