Paper Citation Record · LEDGER

Twisted second moment of primitive cubic L-functions

As of 20 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2506.14656.

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

pith.paper-citation-record.v1
2506.14656 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:06:31.852239Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T12:17:59.294775Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

14 of 14 outbound references displayed

verified exact3
verified fuzzy6
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation e3fed178-1d99-4f15-a55e-07d5bec5bd75 · outbound

This paper cites Baier and M.

Twisted second moment of primitive cubic L-functions Baier and M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:32.246587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 16b41bcb-d1e5-4c5e-99a6-cf3d98db20ac · outbound

This paper cites Bary-Soroker and P.

Twisted second moment of primitive cubic L-functions Bary-Soroker and P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:32.229863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4a90b14c-fd61-43d3-9a50-595810fd6e2c · outbound

This paper cites an unresolved cited work.

Twisted second moment of primitive cubic L-functions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:06:32.212887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 46c4c1ff-1157-4c4d-853f-8121e0443be2 · outbound

This paper cites an unresolved cited work.

Twisted second moment of primitive cubic L-functions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:06:32.195521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 47806de3-acf3-445a-9810-fe60b112a7e8 · outbound

This paper cites David, A.

Twisted second moment of primitive cubic L-functions David, A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:31.803557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aed5402b-676c-4808-acac-b1d8823baead · outbound

This paper cites David, A.

Twisted second moment of primitive cubic L-functions David, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:32.177537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5e9fa96c-268f-47a6-93b8-89ac3e3f7102 · outbound

This paper cites Nonvanishing of $L$--functions associated to fixed order characters over function fields.

Twisted second moment of primitive cubic L-functions Nonvanishing of $L$--functions associated to fixed order characters over function fields

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:31.814087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f44bb01-3df4-44eb-bd50-cc5d40466bdc · outbound

This paper cites David, A.

Twisted second moment of primitive cubic L-functions David, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:32.161132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 85ef2e9d-10a1-4251-b424-f70be10ad3ad · outbound

This paper cites Gao and L.

Twisted second moment of primitive cubic L-functions Gao and L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:32.144225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

This paper cites The second moment of cubic Dirichlet L-functions over function fields.

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 2026-08-19T06:32:44.657259+00:00.

Observation 36f1a46d-b894-4a15-8816-f41981397e52 · outbound

This paper cites G¨ ulo˘ glu and H.

Twisted second moment of primitive cubic L-functions G¨ ulo˘ glu and H

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:32.126913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c6c49a49-2a8a-4b35-8f4e-ccb61405fbd5 · outbound

This paper cites Mean value of cubic $L$-funcitons with fixed genus.

Twisted second moment of primitive cubic L-functions Mean value of cubic $L$-funcitons with fixed genus

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:06:31.923196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0ac14b10-1f12-4495-ac32-de8ac54d3bd9 · outbound

This paper cites The first moment of central value of primitive quartic $L$-functions with fixed genus.

Twisted second moment of primitive cubic L-functions The first moment of central value of primitive quartic $L$-functions with fixed genus

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:06:31.898996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c79f4ada-e1ea-4f6a-99de-c61f2d597fae · outbound

This paper cites an unresolved cited work.

Twisted second moment of primitive cubic L-functions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:06:32.109839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 85f1cd61-70f4-441a-80e6-c93f5f156fa8 · inbound

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters cites this paper.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Twisted second moment of primitive cubic L-functions

Reference 104

Resolution: verified exact; local_arxiv, observed 2026-07-30T12:20:59.396247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.