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Paper Citation Record · LEDGER

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

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.427969Z digest=sha256:223061dc65e8af0e42458a3afa3c26bf6d7bf3f4e6cbab68bf922b86935af19a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.433334Z digest=sha256:e07748566179beba9f6eb7b62a2a54afd7585de1a6c94acbf4cbdc34d4435674

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.437470Z digest=sha256:352c26f39defb389b6d2ea99f1014260bb739edc9f35d8e653db393cd91288f4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.441666Z digest=sha256:8639a96f303b56a2408c03811f8e8c1d07e13152074bac39edcd85f0a73d1d96

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.445803Z digest=sha256:21c91ec428d1d3fc85adc9ee36aca6b43816b85ce4662d5063154a624c18cf13

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.449584Z digest=sha256:444ad6b91ed7d9f4cf0c2ab26da45a36d580252f272ef330c9ebba1085de13e3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.457837Z digest=sha256:bb34db2ddf5067b9a482ba6f39cc4dc0a32e47ccf046301ae90b9cd5869b8c8e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.462004Z digest=sha256:0a671cee64ceac3757bdf13e71df4c2bf28b047453cc71b794202fc207cc9fb5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.465812Z digest=sha256:567243a9990ae6328c2dbe57decccc553f7d6cb22d42b933411c52a1e3532ca6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.469552Z digest=sha256:efa32b044ff9eb2872eeace78ce0aee9dc502ef0fb6b19e35c00aa497c0884b0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.473042Z digest=sha256:6d027b46683e3f9d1c2e3ab0d9f63d56d95a88028f476b5c3d3c60ee145c7377

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.476559Z digest=sha256:2cea139c8940524e1487c1403ed2e72a67507d6cf13c38368dd4992833283802

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.480132Z digest=sha256:74488f47ca6e58c937300a98d9fe0182b857ba91d6a61f2be0ff50f7cd1186e5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.483667Z digest=sha256:48721e300266912b63e06cb2949140f127d1b9a52a43403f3cc2a4f50528f31e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.487187Z digest=sha256:58b8dbed589b51c2602fd7cf08cc8b5786b572126c9aa841e9ba3c3c3d665d8e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T12:04:19.490997Z digest=sha256:ef29c0e8e9f0404b88e043105b3a94ef390c1ba4cac29ca3ea7e4a2caa8b0fee

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:06:31.846920Z digest=sha256:a2923c172973af5d18041a1c9015cc19654ee868ad282aae19bb96666b0928ed