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Paper Citation Record · LEDGER

Negative discrete second moments of Dirichlet $L$-functions

As of 15 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 2026-08-15T06:32:42.880941+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=sha256:0e6155150cfa3fb09294e3c5e84b8d19df702d94434dd536b92a8437e4322a9f

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:d91aa75aa76be84797da0019cc49cdf069e6044c12d706421480c805927c59ab

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=sha256:593f22566a1a9e92983aceaed552a6f0716990a6eeedc465647266055a0d1536

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:cf02de7f921ddbb73204091cbf9f8693600a0f2b2ad3702b49418dbc006f6de5

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:ab581e155b79b4ad50475fd3bbcbb25bba7e1feba1f08db612fcc8f23f5a72cb

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:7cf81626b7a07e0ffad848608e6e545a8d8752b0050b8739b2754acc547dcb07

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:6caf5a681ab45bfbddf45fc1106e50d313e0511004d4f183f23a9fdd6e99a0e7

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:ac5d9a622b9bfe6844bb1fe623069d7be537227a889a694f1e6cbd09fe9c5f0e

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=sha256:6e743fb6c5afaa7a234d394a4fc272f066d9f20747a8ba855587125820ac755f

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=sha256:0dd2f55e6199a79ffb45ec1185297e67bcff63b21b4db000df6191b7d7c7c455

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=sha256:94bbec8dba46af5f34a665a99f2c40ba58a4e9e8ff7d6c3fcb6ec1e958446666

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=sha256:87514a6344adae7762ec4ea37a29a3a1cd18e943225e6cd612831bdf0a0234db

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=sha256:1b2af3fad469a2952e567e4cbf1249af8d074e1390395ea6e36b894643b3e775

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=sha256:620ccaeebd6cac416786e0d44e8660fe3e4048afbdc7bc3c473cd2a98f857b1c

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=sha256:191006a4342c50212cd1e804ae8623ebd996865f01df9fac6c5fcc445a5f276f

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:e883d2053f3bbfdd0a1fc746658aa7055ed0cbbe3e5d56cce278669f1306acdf

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:b7bd48d1f5554ae17d5cf06a311634eaf6692ac6fa3b30b084894a63c2364e58

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=sha256:84f78b9b0afecb0bc53466a2486b0f5759ef849bb42479505fca7d6bf20c9254

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:be3f19c3c5581c0ed45958f2e7b4f9000bdc5ecebdd9bece4381e20811dd2b72

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:99cca588fbf317b35a276848f74001f31b30cc8e946894fd8285d19f2a7d248b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-25T22:23:30.336927Z digest=sha256:352ad43fa96d4643bfb3e87cd90fb258e5ff81a078f28689ba43f68e8691eefd

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=sha256:230484f5cb40aafadf06f780a2f7a207b0861d9a88d87c92da9277dfa1f1f5a6

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=sha256:4970b4584bff3eb90bb868ce116111f952e8dea83629b53192cdbfe2926a1cc9

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=sha256:1d569970244bd0d4f5ba73dc80cb084114a719d52ee8684e2966c633e9ad7102

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=sha256:1424be5a6ad82db5e494f7a5f21760033381c94c2fa23a6ff92395d25f2774d1

Pith citing papers

No inbound Pith citation observations are available.