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Paper Citation Record · LEDGER

The first moment of central value of primitive quartic $L$-functions with fixed genus

As of 20 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2504.14291.

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

pith.paper-citation-record.v1
2504.14291 v5

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:04:19.490997Z

measured 18 of 18 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:06:31.846920Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:06:31.890875Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4e2575b2-5f84-421f-9e13-76b70cdf1899 · outbound

This paper cites an unresolved cited work.

The first moment of central value of primitive quartic $L$-functions with fixed genus Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:04:19.862708Z

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=2026-08-16T12:04:19.427969Z digest=sha256:40220ca99029bddbe7325247499c6fb0251359e2fce166209a1a99f44ef78c7f

Observation bfd1f940-1899-4f5f-8c45-e2a8902998cf · outbound

This paper cites Baier and M.

The first moment of central value of primitive quartic $L$-functions with fixed genus Baier and M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:04:19.849528Z

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=2026-08-16T12:04:19.433334Z digest=sha256:69d13eb46e39043319f372314db79f6517266d7190e6d803c536297603f6604c

Observation 03072183-c8ee-4729-9be0-2b9e5a543407 · outbound

This paper cites an unresolved cited work.

The first moment of central value of primitive quartic $L$-functions with fixed genus Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:04:19.834568Z

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=2026-08-16T12:04:19.437470Z digest=sha256:75b94bc2057e7cace3f04c43513145e5ebcd0e3ddf9936eb73cf3005d48fb1a9

Observation 68cb6fc5-de53-40fe-bbbd-99c965d2361a · outbound

This paper cites an unresolved cited work.

The first moment of central value of primitive quartic $L$-functions with fixed genus Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:04:19.821477Z

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=2026-08-16T12:04:19.441666Z digest=sha256:6d8ca2ad27657c4391e11fe41ec9c70f6f1e72413ae00b1c66e5db4e19b48bd5

Observation eeee14ae-df64-4a6e-82a3-dc92f1e6dffc · outbound

This paper cites an unresolved cited work.

The first moment of central value of primitive quartic $L$-functions with fixed genus Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:04:19.808240Z

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=2026-08-16T12:04:19.445803Z digest=sha256:6c64404cb886dde513bc226daec8534c03a9abed587b1fdbd95a76714e08a245

Observation cf3c84da-635e-4fb8-aff1-4577760bf366 · outbound

This paper cites David, A.

The first moment of central value of primitive quartic $L$-functions with fixed genus David, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:04:19.795516Z

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=2026-08-16T12:04:19.449584Z digest=sha256:b2b67afb20c761c74dbc8cadfb3b0b3c944287a6df39d935ff7bb622aa35df65

Observation f33fe9bf-32b4-493f-b6f1-0e85cdb2357b · outbound

This paper cites Nonvanishing of $L$--functions associated to fixed order characters over function fields.

The first moment of central value of primitive quartic $L$-functions with fixed genus Nonvanishing of $L$--functions associated to fixed order characters over function fields

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T12:04:19.453298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:04:19.453298Z digest=sha256:0f106873161032590c068113fbfde36c17a30d5270cf5f9db9c7e88f19adcd22

Observation 93f74298-d389-4567-af6f-46a785708615 · outbound

This paper cites an unresolved cited work.

The first moment of central value of primitive quartic $L$-functions with fixed genus Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:04:19.782257Z

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=2026-08-16T12:04:19.457837Z digest=sha256:db1f27b28505d6716761d57960a7490a422970f8a710053424ad2d51e4400cc1

Observation 09a609e2-4582-436b-9110-cea00b76f796 · outbound

This paper cites M Florea.

The first moment of central value of primitive quartic $L$-functions with fixed genus M Florea

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:04:19.769511Z

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=2026-08-16T12:04:19.462004Z digest=sha256:d27f7f4317a0dc9b6aeb3267d6838b957e8e7ef5124dac8e991f04632268e812

Observation 64bccd30-6963-497e-b9da-ff4ca21a28a2 · outbound

This paper cites Gao and L.

The first moment of central value of primitive quartic $L$-functions with fixed genus Gao and L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:04:19.757900Z

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=2026-08-16T12:04:19.465812Z digest=sha256:2b29dcb7c2f23a90418d3cc6f90324a96cea28fa11a5715a1543586566edfc93

Observation 23848783-b261-428e-8169-0e3f550d0d44 · outbound

This paper cites Gao and L.

The first moment of central value of primitive quartic $L$-functions with fixed genus Gao and L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:04:19.745717Z

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=2026-08-16T12:04:19.469552Z digest=sha256:e781307b668426a3cc753b9b098f9c6d549f494d37ccb2ef96cf8a234d8e97a5

Observation 7a7b3ef5-bdd5-4fae-94f2-d3a9dcb399f2 · outbound

This paper cites Hoffstein.

The first moment of central value of primitive quartic $L$-functions with fixed genus Hoffstein

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:04:19.732507Z

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=2026-08-16T12:04:19.473042Z digest=sha256:18ca6e58ad0f073f5ba19c44a875388cf03029eaf7e462ceea7c5fa327f404b8

Observation 10f32bd3-601a-4342-8459-bb7c3ae17d0e · outbound

This paper cites an unresolved cited work.

The first moment of central value of primitive quartic $L$-functions with fixed genus Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:04:19.718894Z

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=2026-08-16T12:04:19.476559Z digest=sha256:3f96a4ec07a0e76ccd5bd636496afd43ed06eb1449e5ff134cea13e753a9552f

Observation 5831e226-60c1-4f20-b679-8265cce7feae · outbound

This paper cites an unresolved cited work.

The first moment of central value of primitive quartic $L$-functions with fixed genus Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:04:19.578466Z

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=2026-08-16T12:04:19.480132Z digest=sha256:aeaf089ace441f539b21fc6535164ae0e02ed3570850f1cc7b30ecc15394149b

Observation f13483d5-b2f0-4de5-b343-02d7c3fd3c20 · outbound

This paper cites an unresolved cited work.

The first moment of central value of primitive quartic $L$-functions with fixed genus Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:04:19.565709Z

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=2026-08-16T12:04:19.483667Z digest=sha256:1048c3e445a52588c320b26b2637f12ecb07fd714f3366535a912158b31bf374

Observation d85b1f71-b594-4b1d-9636-b2ade82633ee · outbound

This paper cites Soundararajan and M.

The first moment of central value of primitive quartic $L$-functions with fixed genus Soundararajan and M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:04:19.552419Z

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=2026-08-16T12:04:19.487187Z digest=sha256:5a459444acadfcc2de730d43bf650ce0c4fc28b0ad4236fd4ebd99890048298f

Observation ab471f15-b245-498d-b453-deeda17470bf · outbound

This paper cites an unresolved cited work.

The first moment of central value of primitive quartic $L$-functions with fixed genus Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:04:19.537705Z

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=2026-08-16T12:04:19.490997Z digest=sha256:5ad41be61890d468b1479620424e2ecdc15c03de12152e6c7e725a5e95cfb20a

Pith citing papers

Observation 0ac14b10-1f12-4495-ac32-de8ac54d3bd9 · inbound

Twisted second moment of primitive cubic L-functions cites this paper.

Twisted second moment of primitive cubic L-functions The first moment of central value of primitive quartic $L$-functions with fixed genus

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:06:31.898996Z

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=2026-08-15T20:06:31.846920Z digest=sha256:d247839736dd6cee67a49117dc24426039086b4a4fa0083ae0bd68e4a99599bc