Pith. sign in

Paper Citation Record · LEDGER

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

As of 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.427969Z digest=sha256:ee87a2eb39fe6d6f81c9017f16c9203edf21db22eaa7a86e86770c763c723f2a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.433334Z digest=sha256:7dba8bca54b21407d93fcebbf4885c28c489028b8ce12cb4ee65d16ca7e08079

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.437470Z digest=sha256:f5f06a35882168b58b57b92a12a29756433af7f00bc95e49502305d4fe2b71f3

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.441666Z digest=sha256:55fab98daf4f7609277e97ff83af0538ed17cd66df76ab20eb64f84aa75f5cb8

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.445803Z digest=sha256:2094a928d2f5bf5d4710ad86bf08a70b1fefc2d43b15fc8bb26c6160a439cf3f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.449584Z digest=sha256:55b683e16ae0b46373a2d6e5e094cb356b0bd24a698f563b1e13cd073c90d61a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.457837Z digest=sha256:045fe0c4bf4c8e18f92c512e5b0e507435d03c9a25e4c908cbfc39dbd6b0dfe7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.462004Z digest=sha256:3c161ba3f3758373ecaf280841a51ccfa48912a3f0b231d638975e46a3f9fde5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.465812Z digest=sha256:b7c016cffbbe79f2a98478ac6b3db06c79948de33590d4ea0f3e008476bbb72f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.469552Z digest=sha256:7742899d1fb6f418116c482ccdbc0d8b71a86dee6ee2e8cbc18a5b6f2c60aafa

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.473042Z digest=sha256:c87f1d549988d9150e814cf5ac2e44e39fa7e920cf5c7e372383ef45e283e2a8

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.476559Z digest=sha256:089430964a7b194aacef92d480c397fe8a9616030084067e10281f1474fdbbb9

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.480132Z digest=sha256:f37e06e2c6cc1d301c53a10327f388a30c93729025ff61523260de1f9e00c32e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.483667Z digest=sha256:53ca57731f8cc66f03696ca6f63ceda80d5641331c316e98d506ed33b1ec69ce

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.487187Z digest=sha256:6370c072b5d7246017d395d3485d6379c54b584f77d094d4bc4093af90595a1a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T12:04:19.490997Z digest=sha256:8766e0a33f923f4522a1bfe66262e8b33b344db2340f8fcb37c1a962d6795803

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T20:06:31.846920Z digest=sha256:d9e0f4f21ef706dec4002a2434d52ba4afb593980db3c5216e9949829b41d374