Pith. sign in

Paper Citation Record · LEDGER

Bounds for moments of twisted quadratic characters of prime modulus

As of 12 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2608.05961.

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

pith.paper-citation-record.v1
2608.05961 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:21:54.958029Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

29 of 29 outbound references displayed

  • verified exact3
  • verified fuzzy11
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3904d798-12ff-4860-af2f-3a02a385c2e4 · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.644070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.816122Z digest=sha256:07bbd4dcd3bd277b42c4414caf32a4e542f407840e87c1fad1159f407521d786

Observation 3d3eb35d-8dab-4bab-b5cb-a6e3e1b76c63 · outbound

This paper cites Mean Value Theorems for L-functions over Prime Polynomials for the Rational Function Field.

Bounds for moments of twisted quadratic characters of prime modulus Mean Value Theorems for L-functions over Prime Polynomials for the Rational Function Field

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-07T20:21:55.166478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.821928Z digest=sha256:1eccbe6d1aa0743b6d9412d30eb8edf4b84d1102a26e89c66afdb160717c70bd

Observation 10c70102-fec7-4053-b411-7ec69478b9d0 · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.628505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.827563Z digest=sha256:d7266759d7f0ffe4811e3af155621f465ca096bbc41e26f249275e9186b723eb

Observation 1292d27a-8a9d-470a-84bc-72919a542adc · outbound

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

Bounds for moments of twisted quadratic characters of prime modulus Dirichlet $L$-functions of quadratic characters of prime conductor at the central point

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-07T20:21:55.143267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.832871Z digest=sha256:b55ee1a7ff6e728a41feb3cd558952657ee85185dc3cd13b46961e5d8e053612

Observation 7b29d4eb-7a9e-45ef-8515-239d46197b6f · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.611992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.838606Z digest=sha256:d59a439f521bf9cc733a94845bff8943fe89c7e9cb0b0f81bcfda52d379175ca

Observation 8b1cde1d-832c-4f01-8161-7fb16e67463b · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.595829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.843734Z digest=sha256:8d024b812e7c938a7d0942a1eba40c551e9ca43938cac6c8e2d2e0a8dd89f2c7

Observation b2c955c1-eb1e-47f9-871e-188bdd5b5e37 · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.579364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.848887Z digest=sha256:7488587d41ff207f8998f117ca95360a8169f90c6ceb0e9e586719490a4ede35

Observation 2d151684-e17e-4d9c-9a4f-273159d9123c · outbound

This paper cites Gao and L.

Bounds for moments of twisted quadratic characters of prime modulus Gao and L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.473966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.853714Z digest=sha256:39bc625d60ac4eb366ed1a90d162c598b3d5ce1f58ad2e92b715339c159add74

Observation b9b05673-3711-4c29-98fd-5334565413d7 · outbound

This paper cites Gao and L.

Bounds for moments of twisted quadratic characters of prime modulus Gao and L

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.456496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.858989Z digest=sha256:b3dc852cc38c63e41b45cb69b3b3bb17dc121bd87716151cc3d549724d8f9722

Observation 3e8452bd-ac14-41b6-af97-4c70a215d41f · outbound

This paper cites Gao and L.

Bounds for moments of twisted quadratic characters of prime modulus Gao and L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.438414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.863649Z digest=sha256:cb6126954c4074fa61df5f922b0b99bd6555a5c6d9dc791ae10faaee7acbfaf2

Observation 7637a266-055b-4d93-923f-b37514481e33 · outbound

This paper cites Gao and L.

Bounds for moments of twisted quadratic characters of prime modulus Gao and L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.420808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.868519Z digest=sha256:af199a7de32bce6c663d6c36314270bae6e355388bdeb96a4c664291d2c75b1f

Observation 5372e55c-c7aa-4d5f-b588-a61103e1cd20 · outbound

This paper cites Bounds for Moments of Twisted Fourier coefficients of Modular Forms.

Bounds for moments of twisted quadratic characters of prime modulus Bounds for Moments of Twisted Fourier coefficients of Modular Forms

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T20:21:54.873353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:21:54.873353Z digest=sha256:1a303ce9c8dc0bc9b82fa9de3df51259fb97011807d98e4d6fb02ef2a7cb15d0

Observation 7fe4ea8b-99e4-4413-b97c-2f5bbe28799d · outbound

This paper cites Gao and Y.

Bounds for moments of twisted quadratic characters of prime modulus Gao and Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.404145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.878877Z digest=sha256:8b51db7fcd376bbe860defe6f9fa549c91ce2a574bc6743fc23567ad64564e2e

Observation 05d88315-3c96-4e40-87a4-f2cd45dfdde2 · outbound

This paper cites Gao and Y.

Bounds for moments of twisted quadratic characters of prime modulus Gao and Y

Reference 14

Resolution
verified exact
raw_fallback, observed 2026-08-07T20:21:55.103203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.883808Z digest=sha256:5b6b6faccbf376cfa03b2a3679c318149ad1d83a88f40344270f230a13ea214b

Observation 9899f295-aa68-4301-bddd-6efd72e25360 · outbound

This paper cites Goldfeld and X.

Bounds for moments of twisted quadratic characters of prime modulus Goldfeld and X

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.388049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.888792Z digest=sha256:814f7200394e71380396bf8960a87b0ddd6f4f4e72f9770a007ca3c6fa80b083

Observation 65d79443-382b-4591-9f05-fd354b926a93 · outbound

This paper cites Goldfeld and C.

Bounds for moments of twisted quadratic characters of prime modulus Goldfeld and C

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.371132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.893653Z digest=sha256:77582f22528af735b655993572c26f0059c2d919dae4a6f1fe9d7c926478fd83

Observation 807499fd-03f3-4ded-88dc-88fe3a709f1e · outbound

This paper cites Sharp conditional bounds for moments of the Riemann zeta function.

Bounds for moments of twisted quadratic characters of prime modulus Sharp conditional bounds for moments of the Riemann zeta function

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T20:21:54.898473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:21:54.898473Z digest=sha256:43fd77f9603cbabd749fe29036efad42d46cf9070d50d17305944a946f5f8d43

Observation 58671933-f0ca-44bd-9f86-24be6d95a1de · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T20:21:54.903873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:21:54.903873Z digest=sha256:7ffc9a0a3dfe6aaabe64bfae622b7aff92384bd7ee9936f92f5b072e08ab1acc

Observation 8a7ff98e-3482-4579-a649-83bd38a04571 · outbound

This paper cites Iwaniec and E.

Bounds for moments of twisted quadratic characters of prime modulus Iwaniec and E

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.342009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.908775Z digest=sha256:33f61ef01852da038210e22b1b712c8fa651dbb525bb97429011e2010dc83120

Observation f6a0b8f7-653e-4184-9054-f09701c37264 · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.325995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.913639Z digest=sha256:54f8933f8a81b7a1386fca10d1ee66e7291a4638552def841efca0e95ba0ddc0

Observation 5eafd008-e32c-4673-8858-5012dbc16010 · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.310124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.918736Z digest=sha256:9c3a37c8e854c006fdab163c0e86e6d8156c45bea3901352ec23d214b32e1ddb

Observation 0bc467fe-6e33-4bce-91ca-c37e6abdde05 · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.293025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.923474Z digest=sha256:857aa5966c015dc2f79b8caab1d00212a12809e3833e06fb55a8bafbf7457c16

Observation 9f6458c7-cc9f-462d-9cb0-9ea1c14b6cc5 · outbound

This paper cites Koukoulopoulos.

Bounds for moments of twisted quadratic characters of prime modulus Koukoulopoulos

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.277190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.928156Z digest=sha256:f9219ceece242abd9e5ca98baf7e29095ce1e5c74566a12573229450d8f0007f

Observation 71024932-6d71-4348-a95b-ae1b8a18d2fc · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T20:21:54.932939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:21:54.932939Z digest=sha256:6a5d27a0cc97bf0da25b0259255f730d8457a62fe14ec585e325964183393c99

Observation bc3de5a2-4854-48a8-a7dc-d36d23324001 · outbound

This paper cites Munsch and Y.

Bounds for moments of twisted quadratic characters of prime modulus Munsch and Y

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.249773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.937975Z digest=sha256:595e5d2a38517cb597976fe0a7e6264a753d7c0e30fcf0c5833550e69e4c815f

Observation cd57318c-9cef-45ea-bc16-3b207e251253 · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.232581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.942881Z digest=sha256:0f9ad82ac2d22fe5c8dd54c8292cf923e06bd690810143016e22699b2143997e

Observation 605ece8d-aa44-4fee-916f-8c8e24abd63d · outbound

This paper cites Soundararajan.

Bounds for moments of twisted quadratic characters of prime modulus Soundararajan

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:21:55.215647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.947737Z digest=sha256:0c901afc7eec419c0035177e71d3b953374dca04554dcbf7450246f6f276f4ad

Observation 7b4796d8-0afa-4e1d-9384-2cdd84f5c8aa · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.199356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.952864Z digest=sha256:1289e374bc860479949b82f42484d63a6f9c23053a2fb6476a00c813cd21595d

Observation e4411b7e-c1f7-42c1-aaad-b6d97b4c8c1d · outbound

This paper cites an unresolved cited work.

Bounds for moments of twisted quadratic characters of prime modulus Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:21:55.183200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T20:21:54.958029Z digest=sha256:32d207b96afaabc9548d8ca4c51d915250e2513386f8fcbdddd04b0b80a46b52

Pith citing papers

No inbound Pith citation observations are available.