Pith. sign in

Paper Citation Record · LEDGER

The second moment of cubic Dirichlet L-functions over function fields

As of 20 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2505.12015.

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

pith.paper-citation-record.v1
2505.12015 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:06:50.684509Z

measured 19 of 19 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:44:49.558049Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T20:06:31.940663Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40524c53-0e17-45f4-a3a9-632c362829c7 · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.955279Z

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=2026-08-15T21:06:50.625222Z digest=sha256:a46bb822a5ac5c8f4eeba34fb8153b313dff79a2fe941974b027a3c381cc0583

Observation 18b47613-06cf-4d93-b4fc-bcee76a5fbc1 · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.941461Z

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=2026-08-15T21:06:50.629805Z digest=sha256:22bf23025fcf05a05b7174efa77ea893134b25428190ac6f723d94d1b52385a1

Observation 752b78d3-2134-4761-98bc-4139f954962e · outbound

This paper cites Non-vanishing for cubic H ecke l -functions.

The second moment of cubic Dirichlet L-functions over function fields Non-vanishing for cubic H ecke l -functions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T21:06:50.633682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:06:50.633682Z digest=sha256:f99c75b0c3578cc5f644f22c8c91e47eb95e624e2b88bde2aac0a46e9b025170

Observation ae2b0150-422b-4556-9216-fb20dd925bbe · outbound

This paper cites The mean values of cubic L -functions over function fields.

The second moment of cubic Dirichlet L-functions over function fields The mean values of cubic L -functions over function fields

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.930187Z

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=2026-08-15T21:06:50.637609Z digest=sha256:f96392981ddd3660d1a19e24a6f4462ceab7c1d271bcb33a8e59735be1944f8b

Observation 9c4af715-2159-42eb-8df1-8e29de098c02 · outbound

This paper cites Double Dirichlet series and the n -th order twists of hecke L -series.

The second moment of cubic Dirichlet L-functions over function fields Double Dirichlet series and the n -th order twists of hecke L -series

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.918932Z

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=2026-08-15T21:06:50.641802Z digest=sha256:6ddc6e687cbe34bb705de42245d8ff33e67e4fde31ef3e78811e36031d590ac3

Observation 189f08af-c70e-46b6-aaab-54b40a324dd0 · outbound

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

The second moment of cubic Dirichlet L-functions over function fields The fourth moment of quadratic D irichlet L -functions over function fields

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.907745Z

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=2026-08-15T21:06:50.645715Z digest=sha256:7bab8064d82680642b69ba4c9f31602b9d74d482706d9b5a77dc029b41a1c7d1

Observation 0e753ea6-62e2-463b-9d7b-5227f0f1a731 · outbound

This paper cites The second and third moment of L(1/2, ) in the hyperelliptic ensemble.

The second moment of cubic Dirichlet L-functions over function fields The second and third moment of L(1/2, ) in the hyperelliptic ensemble

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.896598Z

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=2026-08-15T21:06:50.649674Z digest=sha256:306d4306c813cc901185f672cd1d8bce857c0ce78d514e85473421820af256a8

Observation f0c3f0a4-db94-44bb-9e0c-c36c966d6bb4 · outbound

This paper cites Theta functions on the n -fold metaplectic cover of SL (2) ---the function field case.

The second moment of cubic Dirichlet L-functions over function fields Theta functions on the n -fold metaplectic cover of SL (2) ---the function field case

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.884499Z

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=2026-08-15T21:06:50.653152Z digest=sha256:dc92db24ed403fcda6d7d00a3eaebd7e8630b712c3f582e14f2285572809cded

Observation ffe17bb5-ad7b-4632-a2be-4281b97c10e6 · outbound

This paper cites Average values of L -series in function fields.

The second moment of cubic Dirichlet L-functions over function fields Average values of L -series in function fields

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.872163Z

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=2026-08-15T21:06:50.656555Z digest=sha256:962e67d2604e31ba423d1e999a95f5135d49b1421e47870ca0df908c546d4e57

Observation e85b7b8b-227e-41e7-8b86-0721a01aef43 · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.860929Z

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=2026-08-15T21:06:50.659893Z digest=sha256:bafad5b9a3bcb6ad44955a7cd4fed39133d4b7f4c356380ed12639bc0eb1857d

Observation 5531e9a9-f878-4694-a209-68c5f31508b0 · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.849370Z

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=2026-08-15T21:06:50.663391Z digest=sha256:de546f02ef3097e65c1557c73e68af16577bf39b7f9c1e50dfbe9e5bd3edbef3

Observation 5cd8fdd2-b1a5-4b1a-b49e-3b5e68e16d2d · outbound

This paper cites On automorphic functions and the reciprocity law in a number field.

The second moment of cubic Dirichlet L-functions over function fields On automorphic functions and the reciprocity law in a number field

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.837531Z

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=2026-08-15T21:06:50.666765Z digest=sha256:4e49fa8e613077d985b3f593255492b79bb3895e96a4cb0da743628cea222c69

Observation b697b12b-b941-489a-b17e-a320883aba78 · outbound

This paper cites Weil conjectures, perverse sheaves and l 'adic F ourier transform , volume 42 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

The second moment of cubic Dirichlet L-functions over function fields Weil conjectures, perverse sheaves and l 'adic F ourier transform , volume 42 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.823577Z

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=2026-08-15T21:06:50.670220Z digest=sha256:88daf203c4c01850091da883897597acf40c428057b422a6667b20e15b0a9dce

Observation 114ccc6e-09fc-410f-8958-967e9f9cfdc2 · outbound

This paper cites On Hecke \(L\) -series associated with cubic characters.

The second moment of cubic Dirichlet L-functions over function fields On Hecke \(L\) -series associated with cubic characters

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.811672Z

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=2026-08-15T21:06:50.673786Z digest=sha256:38ed48ebcde18265ffd204c76ed14d70577ee0d80e5e36d6ae81839b82aee1eb

Observation f8130a84-34d7-4313-b12a-e80e00e26301 · outbound

This paper cites Number theory in function fields , volume 210 of Grad.

The second moment of cubic Dirichlet L-functions over function fields Number theory in function fields , volume 210 of Grad

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.799857Z

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=2026-08-15T21:06:50.677463Z digest=sha256:75f635e53f2174f884d80119e30ba97bb721ceaab62222840c451c8a33e822a6

Observation 38bfc489-19f5-404f-9a9c-f7d6d59cab44 · outbound

This paper cites Soundararajan.

The second moment of cubic Dirichlet L-functions over function fields Soundararajan

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.787610Z

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=2026-08-15T21:06:50.680866Z digest=sha256:5ebe106f771347b88effb99ccadc6e3d37bb245b235b8c6dfbc8b4f1ebb0e529

Observation fc44558e-6542-466a-aadb-71e76bfc975c · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.776182Z

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=2026-08-15T21:06:50.684509Z digest=sha256:592c4f09b63cb0f992ffcdf06197f36b90d5c6429d0ce971c25066daa7efd404

Pith citing papers

Observation c03fa886-5be5-496a-bc20-7ff1a1e3119f · inbound

Twisted second moment of primitive cubic L-functions cites this paper.

Twisted second moment of primitive cubic L-functions The second moment of cubic Dirichlet L-functions over function fields

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:06:31.946585Z

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=pdf_text observed=2026-08-15T20:06:31.831299Z digest=sha256:dacd1b5856dc102552a955b928cb06bb1b28a316d42ae1e19232a28170bc5aca

Observation 4400b2ce-9ffe-4375-8779-b3ad92914b69 · inbound

Upper bound for the moment of shifted values of cubic $L$-functions over function fields cites this paper.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields The second moment of cubic Dirichlet L-functions over function fields

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-16T00:44:49.558049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:44:49.558049Z digest=sha256:da7ca0711b1f84814b87e4d316836f0b1fd5de257bea9e8631e23ebe0dd8930d