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Paper Citation Record · LEDGER

Negative discrete second moments of Dirichlet $L$-functions

As of 11 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2606.25094.

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

pith.paper-citation-record.v1
2606.25094 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T22:23:30.336927Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

25 of 25 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7aa6fb46-a8f2-4ac6-a37c-76509095d390 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:09af9d964bede01819a67bf49cea50fc0527b1242ba93a080e61e78afaee605e

Observation 47f185be-5adb-4ea5-82ce-50002558e3c1 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:226faefc33867e9219675f21dde6470fcc5bdb3057bd3f10f447570963e914f2

Observation 87b629be-8fff-430e-bd4f-02953f8834d5 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:c9ac1fae40d2cdf822a301d29b96c5ee941a9238268c50ad5d7f77e06b6c3342

Observation 9e34bb53-a062-4a9e-96cd-958f91031b39 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:58586acb29be3f62fd25c714b1fa76dc626730a8d9e6a47ef0b5f287847b151e

Observation ef250d51-ebe2-4623-8b11-4c919c53f7e6 · outbound

This paper cites Davenport,Multiplicative Number Theory, 3rd ed., revised by H.

Negative discrete second moments of Dirichlet $L$-functions Davenport,Multiplicative Number Theory, 3rd ed., revised by H

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:dbc82afbb3352ccb49456f1b5a8b04a9a3de7944d204c566721b9ef8cc249855

Observation 4be59d85-9ce8-42d2-8a23-ec16b256ee7a · outbound

This paper cites Durkan, C.

Negative discrete second moments of Dirichlet $L$-functions Durkan, C

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-04T18:50:04.944416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:b3215bf032af782740982cc3403b8f17a52fcf812d588be4a06762b203e38ae8

Observation 793b524a-f67b-4d0a-a0df-52d1aa57b4cb · outbound

This paper cites Comparative Prime Number Theory Problem List.

Negative discrete second moments of Dirichlet $L$-functions Comparative Prime Number Theory Problem List

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-04T18:50:04.941706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:d022bce920cbf1be90eb1cce886c8d019115d2b51e10ec0deb414e8aa462ab88

Observation 81554e7d-2391-4602-ac4b-54733644913e · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:7bb2e821f89653853e98a2141e43003ef5f42fd63ffa0324f8cd3051f6301d37

Observation a257e7b6-e674-4f70-b8af-214f73809687 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:00994f3574adfd3721cf9e3eb3f5288dba61d0df9cb49e321e34dfcd00956cba

Observation 32054e0b-3a8a-4c45-8841-4d351b9a19f5 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:17917f2b096cabe31fdd8f359d3c7e59b27f48b4b244942de24cca03c7eec457

Observation 18179303-4db1-4b10-88ec-9b223367daf3 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:a27dea76cf66c80c24319fb90f8aeab8701767937cebeb0e177ac0fa9968fa62

Observation dc6ca383-feb9-411b-a763-ce0b9af15be3 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:2f1e474713a7189ae8aa31e0da5bccf591f402cf9346320cfef1caf29ed238c4

Observation 235aa6aa-0f4a-47bc-be79-5a90a2e1230b · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:77c05256b8d0931e2bbed3372c2055854950a9cf491caa246dc9d7cfbb4e14e2

Observation debf0a78-b86b-4ee2-8625-d18e12d87fe5 · outbound

This paper cites Iwaniec, E.

Negative discrete second moments of Dirichlet $L$-functions Iwaniec, E

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:cad0ca27097be908ef2c3a2c66e89549152dfb32575e81b1769088a6dd1e87d5

Observation 0bfbe661-8134-4bc9-bf77-d10e366c7e79 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:e2f0afbe7e17d5df5c2b52fabf5dfc8e37c095dbcaa8757e22e37cd008f363bc

Observation c335bc7d-3f4a-41b9-a3c4-390740124e11 · outbound

This paper cites Landau, ¨Uber die Nullstellen der Zetafunktion, Math.

Negative discrete second moments of Dirichlet $L$-functions Landau, ¨Uber die Nullstellen der Zetafunktion, Math

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:90280631d6338a5b36b88fa4b8f5c10d957e6d4d51a787784a3fce86f600967b

Observation b2f057d4-8f5f-4605-8585-7135158c24fc · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:86debe9c03c70d37c3eb8502789c6f1e0eee29aac94c9b0610459d42fb9df6c9

Observation 20e0b608-de0b-4995-8caf-5c49c2d97a21 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:14ff7b56c5ce2c50596450dd33ce6fb4c93dff01c4c89649746a47c664dfab5a

Observation 7fd13c22-75bf-4ffb-af1e-08c78a734983 · outbound

This paper cites Ng,Limiting distributions and zeros of ArtinL-functions, PhD thesis, University of British Columbia, 2000.

Negative discrete second moments of Dirichlet $L$-functions Ng,Limiting distributions and zeros of ArtinL-functions, PhD thesis, University of British Columbia, 2000

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:524c8f6a1acf2589161d2ec39e57982bd39f1a5bd12aff42e5ee032b3186a44b

Observation b63cb4aa-3826-4c04-8b2a-39cfabd48f04 · outbound

This paper cites Prime Number Error Terms.

Negative discrete second moments of Dirichlet $L$-functions Prime Number Error Terms

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-07-04T18:50:04.936802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:b5135460126d6e5daa05d4ff15501aec0301f6fae25cc57a5784cf1276a11eb4

Observation eef95101-6e2f-44c5-8ab4-01e2617b47a1 · outbound

This paper cites A note on a conjecture of Ng.

Negative discrete second moments of Dirichlet $L$-functions A note on a conjecture of Ng

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-07-04T18:50:04.938996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:d4c1d0f64a03c7df3c451f7bf29f7c36d17cb5a8d1711b54c88810a1b41856f0

Observation d691e56b-1254-486c-a416-4595108a447d · outbound

This paper cites Rudnick, K.

Negative discrete second moments of Dirichlet $L$-functions Rudnick, K

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:b74ff34880cc22872844e7311098e8da8483c2ba3b45873e84887161d23210a2

Observation 22293f00-577d-47ee-a283-73c2b3c3f1bf · outbound

This paper cites Sinha,Some Conditional Results involving Arithmetic Functions, PhD thesis, Uni- versity of Missouri, 2025.

Negative discrete second moments of Dirichlet $L$-functions Sinha,Some Conditional Results involving Arithmetic Functions, PhD thesis, Uni- versity of Missouri, 2025

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:b78fa7b51233fe9282c29e1315aac713544f5126ab1983875daabe668f4eb470

Observation 96a2d502-f63d-4a17-88f7-949400058fb4 · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:2a45518444c74ec6981f781f0eb9bf87095be47d28f71a007457a102449d7b2b

Observation a2a80998-fb83-48b8-b604-fa3a9657e18f · outbound

This paper cites an unresolved cited work.

Negative discrete second moments of Dirichlet $L$-functions Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-25T22:23:30.336927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:b6913410d8aa2c92dea20e547b536a4e7cba314208c669544012bce6cd222e95

Pith citing papers

No inbound Pith citation observations are available.