Pith. sign in

Paper Citation Record · LEDGER

Moments of Dirichlet $L$-functions with prime conductors over function fields

As of 20 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1909.00854.

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

pith.paper-citation-record.v1
1909.00854 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:50:08.389785Z

measured 24 of 24 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

24 of 24 outbound references displayed

  • verified exact3
  • verified fuzzy13
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 86956051-31d6-42b5-af21-cbfc05aea4ae · outbound

This paper cites Small zeros of Dirichlet $L$-functions of quadratic characters of prime modulus.

Moments of Dirichlet $L$-functions with prime conductors over function fields Small zeros of Dirichlet $L$-functions of quadratic characters of prime modulus

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:50:08.494923Z

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=arxiv_source observed=2026-08-14T05:50:08.263155Z digest=sha256:f510989e109c3ffffd895118f3400d2a9154a7db1cdcdb1a4a3e631b1a58e5c2

Observation 77fc6845-7364-4441-957d-25c716f8c1de · outbound

This paper cites Andrade and J.

Moments of Dirichlet $L$-functions with prime conductors over function fields Andrade and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.809792Z

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=arxiv_source observed=2026-08-14T05:50:08.274401Z digest=sha256:a784942396778e589434fc9ec7e6d9527f49b4b89853d65f1393e54cc9920687

Observation 55f6ee16-c22a-4d24-be0a-cd4e67972e8a · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.794573Z

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=arxiv_source observed=2026-08-14T05:50:08.279292Z digest=sha256:b5dacf17f318855ede5b62b158dda14cf7185c055d0008074fad21ba018ee755

Observation 65916974-b567-4cca-bbc8-90eced5928d7 · outbound

This paper cites Baig and C.

Moments of Dirichlet $L$-functions with prime conductors over function fields Baig and C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.778154Z

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=arxiv_source observed=2026-08-14T05:50:08.290075Z digest=sha256:d3bf8a56036ea09d16b7b754e40cd996cf5b9c3afa0eb31e10924b44d928d0a0

Observation ffb4efce-f34e-44e9-a136-af79e04ab63e · outbound

This paper cites Dirichlet $L$-functions of quadratic characters of prime conductor at the central point.

Moments of Dirichlet $L$-functions with prime conductors over function fields Dirichlet $L$-functions of quadratic characters of prime conductor at the central point

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T05:50:08.295355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:50:08.295355Z digest=sha256:e766943961d8e945a41259826ebf693f7405b7418bbc3946a0ceda9f985ddd00

Observation 88d3746e-3d98-4c96-a394-2af226e50932 · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.762825Z

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=arxiv_source observed=2026-08-14T05:50:08.300904Z digest=sha256:3670ee327f7da028ffdf326273bf6872cda2fa579db4afeea5cd450b6878977a

Observation 3834944a-0261-47aa-b344-1f2476c8b2ae · outbound

This paper cites Florea, The fourth moment of quadratic D irichlet L -functions over function fields , Geom.

Moments of Dirichlet $L$-functions with prime conductors over function fields Florea, The fourth moment of quadratic D irichlet L -functions over function fields , Geom

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.747366Z

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=arxiv_source observed=2026-08-14T05:50:08.305426Z digest=sha256:f39d4892be61186c957f839ce0caa3fbcc7c35a231792192bf03a92ac43fcb03

Observation ed7a09af-0917-4730-abba-ff1bac88f9d0 · outbound

This paper cites Iwaniec, On the order of vanishing of modular L -functions at the critical point , S\' e m.

Moments of Dirichlet $L$-functions with prime conductors over function fields Iwaniec, On the order of vanishing of modular L -functions at the critical point , S\' e m

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.732532Z

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=arxiv_source observed=2026-08-14T05:50:08.310245Z digest=sha256:2774aec9b85dd7905a25100c39b880724d7b8de1baa84a5a9a7fb5c3f53a862e

Observation dbf75935-4a94-48ce-bbea-e5f3a26f197c · outbound

This paper cites Jutila, On the mean value of L( 1 2 ,\, ) for real characters , Analysis 1 (1981), no.

Moments of Dirichlet $L$-functions with prime conductors over function fields Jutila, On the mean value of L( 1 2 ,\, ) for real characters , Analysis 1 (1981), no

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.715519Z

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=arxiv_source observed=2026-08-14T05:50:08.314784Z digest=sha256:28af2459e802015fe6f3dbbc0df57a24682bb50c3c561dd76261abdfd0ba1b7f

Observation 04811a3e-5953-48a8-b6c1-b3fe5d697b7e · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.698867Z

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=arxiv_source observed=2026-08-14T05:50:08.319270Z digest=sha256:ad46d747177c42d3e4dd7767bb3a1ee68b9c974241c2d0ea4e705f552cd3e913

Observation 88c8529d-b926-491b-9204-d94806577247 · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.683406Z

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=arxiv_source observed=2026-08-14T05:50:08.324085Z digest=sha256:6fef2fa10a69c360afddeb31a6adc5653d8263b2e69ce36c5dd99801a69d23ea

Observation 0887d9b8-a538-4a2e-8f3a-25c9d9ec3221 · outbound

This paper cites Petrow, Moments of L'( 12) in the family of quadratic twists , Int.

Moments of Dirichlet $L$-functions with prime conductors over function fields Petrow, Moments of L'( 12) in the family of quadratic twists , Int

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.668904Z

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=arxiv_source observed=2026-08-14T05:50:08.329065Z digest=sha256:cbfb8e9308c9f7d7edfdf8cd4307e1af16d7ca99a200a49b62d3872536548eb2

Observation 2ac4219e-7a10-4c30-9a5c-5847fc72f77d · outbound

This paper cites Rudnick, Traces of high powers of the F robenius class in the hyperelliptic ensemble , Acta Arith.

Moments of Dirichlet $L$-functions with prime conductors over function fields Rudnick, Traces of high powers of the F robenius class in the hyperelliptic ensemble , Acta Arith

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.653748Z

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=arxiv_source observed=2026-08-14T05:50:08.334513Z digest=sha256:bd8c1c444759f1afdcb47087c3e9eab2b0b95b9e89645960d2152f2775846c46

Observation e5bb1f8c-2c74-4db5-bdee-26cde14b5b45 · outbound

This paper cites Soundararajan, Nonvanishing of quadratic D irichlet L -functions at s= 12 , Ann.

Moments of Dirichlet $L$-functions with prime conductors over function fields Soundararajan, Nonvanishing of quadratic D irichlet L -functions at s= 12 , Ann

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.638112Z

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=arxiv_source observed=2026-08-14T05:50:08.339011Z digest=sha256:3b9b82ea8bddb5913f0df40d6fe24a4ed681088d5c42f370bfef277c543c52c0

Observation e9dd1e72-deba-4408-97d3-887ce4fd8c32 · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.622754Z

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=arxiv_source observed=2026-08-14T05:50:08.344105Z digest=sha256:fe7d8c2f5fbed811b86ae742099ece1a9f8413e9606d8d838519867bc6709992

Observation b7d44571-d028-4a81-bb1e-73f3f69a7de6 · outbound

This paper cites Soundararajan and M.

Moments of Dirichlet $L$-functions with prime conductors over function fields Soundararajan and M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.608837Z

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=arxiv_source observed=2026-08-14T05:50:08.349125Z digest=sha256:37516fa268ab97c39869dbd9aa7b1b2ca192e79d479a7b5aadfdb1722bdb049f

Observation 1fc2b310-e375-49d8-b418-66174759461b · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.593637Z

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=arxiv_source observed=2026-08-14T05:50:08.353691Z digest=sha256:a99515a86adea417e868d655b580f2218ca1effa893ac1c669914fc9ac9a27c0

Observation 3115ba94-b762-4fe3-b011-792a44a2eb79 · outbound

This paper cites The Integral Moments and Ratios of Quadratic Dirichlet $L$-Functions over Monic Irreducible Polynomials in $\mathbb{F}_{q}[T]$.

Moments of Dirichlet $L$-functions with prime conductors over function fields The Integral Moments and Ratios of Quadratic Dirichlet $L$-Functions over Monic Irreducible Polynomials in $\mathbb{F}_{q}[T]$

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:50:08.473440Z

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=arxiv_source observed=2026-08-14T05:50:08.358648Z digest=sha256:afc2dea2a04b05971968f899c01e0d8c275bd2b566f115306075ca4adac796ff

Observation e780009c-2190-4d2f-8873-a7efdc0846af · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.577450Z

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=arxiv_source observed=2026-08-14T05:50:08.363908Z digest=sha256:34b7ff61e718a2b65b7a9eaa7c8615687e14d3b34c2c7135eb55b8f09242f06b

Observation a3cfa03b-b8a2-4ecc-90b8-ebbe9b490841 · outbound

This paper cites Moments of quadratic twists of elliptic curve L-functions over function fields.

Moments of Dirichlet $L$-functions with prime conductors over function fields Moments of quadratic twists of elliptic curve L-functions over function fields

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:50:08.449022Z

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=arxiv_source observed=2026-08-14T05:50:08.369052Z digest=sha256:7355b1776f54527e27054ff0a1e9b4894e210648582015dab253bd8ab517259b

Observation e36b0d6b-35ed-4325-96ad-f20f5726b670 · outbound

This paper cites Florea, The fourth moment of L(1/2, ) in the hyperelliptic ensemble , Geom.

Moments of Dirichlet $L$-functions with prime conductors over function fields Florea, The fourth moment of L(1/2, ) in the hyperelliptic ensemble , Geom

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.562177Z

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=arxiv_source observed=2026-08-14T05:50:08.374534Z digest=sha256:73d987f5c2141c1ff778ff64b6bf10826914be531c1e4317861c1b6bf2a65bbe

Observation ce51f239-4945-4ab6-9d44-07bd26b033d7 · outbound

This paper cites Rudnick, Traces of high powers of the Frobenius class in the hyperelliptic ensemble , Acta Arith.

Moments of Dirichlet $L$-functions with prime conductors over function fields Rudnick, Traces of high powers of the Frobenius class in the hyperelliptic ensemble , Acta Arith

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.543981Z

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=arxiv_source observed=2026-08-14T05:50:08.380001Z digest=sha256:8e228fccc4426035b45f0bbac41c1b860d73a3dcd3138a8901827f56f8077da9

Observation 158b9806-8679-4ed2-aad2-3353765c5007 · outbound

This paper cites Soundararajan, Nonvanishing of quadratic Dirichlet L -functions at s= 1 2 , Annals of Math.

Moments of Dirichlet $L$-functions with prime conductors over function fields Soundararajan, Nonvanishing of quadratic Dirichlet L -functions at s= 1 2 , Annals of Math

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.527787Z

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=arxiv_source observed=2026-08-14T05:50:08.385008Z digest=sha256:0a0f37e3ec41bcc28993003197b4feee1766615fed68a24617cc7074ae0d7b12

Observation 91e2cc5a-3ab1-45ec-91a3-04f053e7fd35 · outbound

This paper cites Soundararajan, M.

Moments of Dirichlet $L$-functions with prime conductors over function fields Soundararajan, M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.511734Z

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=arxiv_source observed=2026-08-14T05:50:08.389785Z digest=sha256:1118d4f1cd5206ac270023bc2b5fbc1422b2937c66ea5cd76608da385c926cb5

Pith citing papers

No inbound Pith citation observations are available.