Paper Citation Record · LEDGER

On the counting function of cubic function fields

As of 19 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2504.12160.

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

pith.paper-citation-record.v1
2504.12160 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:40:49.076031Z

measured 32 of 32 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 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

32 of 32 outbound references displayed

verified exact2
verified fuzzy22
unresolved8
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External citation measurements

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Outbound references

Observation 4afd5e3d-671a-4248-8965-65f93e29226f · outbound

This paper cites Error estimates for the Davenport-Heilbronn theorems.

On the counting function of cubic function fields Error estimates for the Davenport-Heilbronn theorems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.607335Z

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 c7c53996-4efb-4719-8220-f80d4c9337d1 · outbound

This paper cites On the Davenport–Heilbronn theorems and second order terms,.

On the counting function of cubic function fields On the Davenport–Heilbronn theorems and second order terms,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.592962Z

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 6b7ec844-1e14-44bc-9760-ede81952b5ad · outbound

This paper cites Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces,.

On the counting function of cubic function fields Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:48.838978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8167cf8d-51f9-4d45-a009-9a4039086220 · outbound

This paper cites Improved error estimates for the Davenport–Heilbronn theorems,.

On the counting function of cubic function fields Improved error estimates for the Davenport–Heilbronn theorems,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.578303Z

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 81754d09-c8fe-42a8-8dd2-b0e2e360e545 · outbound

This paper cites Hurwitz spaces, Nichols algebras, and Igusa zeta functions.

On the counting function of cubic function fields Hurwitz spaces, Nichols algebras, and Igusa zeta functions

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:48.848646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 767de85b-5c3c-4311-b197-0910b1208a35 · outbound

This paper cites Omega results for cubic field counts via lower-order terms in the one-level density,.

On the counting function of cubic function fields Omega results for cubic field counts via lower-order terms in the one-level density,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.563834Z

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 592f84d6-0583-495c-8252-bf48d38d5540 · outbound

This paper cites Low lying zeros of Artin L -functions.

On the counting function of cubic function fields Low lying zeros of Artin L -functions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.549853Z

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

Observation 9c4e483a-5c2d-448a-b2aa-a640b6335eec · outbound

This paper cites On the density of discriminants of cubic fields. II,.

On the counting function of cubic function fields On the density of discriminants of cubic fields. II,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.533464Z

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 82d8342a-3cba-4b92-ba47-c74bb6da6a1b · outbound

This paper cites Density of discriminants of cubic extensions,.

On the counting function of cubic function fields Density of discriminants of cubic extensions,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.519287Z

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 7aa07a63-c0b0-4157-9aca-852af67fbce6 · outbound

This paper cites van Frankenhuijsen, The Riemann hypothesis for function fields, London Mathematics Society Student Texts vol.

On the counting function of cubic function fields van Frankenhuijsen, The Riemann hypothesis for function fields, London Mathematics Society Student Texts vol

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.503495Z

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 97134066-46b5-41c5-b068-1fb41b6facaf · outbound

This paper cites The shape of cubic fields,.

On the counting function of cubic function fields The shape of cubic fields,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.487305Z

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 d08ed844-e23f-444c-82e5-524ff50b6f9d · outbound

This paper cites Equidistribution of bounded torsion CM points,.

On the counting function of cubic function fields Equidistribution of bounded torsion CM points,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.462922Z

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 4cabe114-2ffd-4c63-98dc-acb99eafc472 · outbound

This paper cites Linear statistics of low-lying zeros of L-functions,.

On the counting function of cubic function fields Linear statistics of low-lying zeros of L-functions,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:48.885614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60579079-d987-42a5-b01e-f8da26c035da · outbound

This paper cites Low lying zeros of families of L-functions,.

On the counting function of cubic function fields Low lying zeros of families of L-functions,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:48.889224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea6fbffe-b2bf-4650-9eef-4cc2fa335bad · outbound

This paper cites The geometry of secondary terms in arithmetic statistics.

On the counting function of cubic function fields The geometry of secondary terms in arithmetic statistics

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:40:49.140257Z

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 2fd9405f-7380-4b45-abb4-6eaece36983e · outbound

This paper cites Zeroes of zeta functions and symmetry,.

On the counting function of cubic function fields Zeroes of zeta functions and symmetry,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:48.898104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 215c0159-ef2a-4500-9dfd-be795adda719 · outbound

This paper cites Orbital Gauss sums associated with the space of binary cubic forms over a finite field.

On the counting function of cubic function fields Orbital Gauss sums associated with the space of binary cubic forms over a finite field

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.422145Z

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 1368ab3e-caab-41ec-aad1-2ba85b9381c0 · outbound

This paper cites Low-lying zeros in families of elliptic curve L-functions over function fields,.

On the counting function of cubic function fields Low-lying zeros in families of elliptic curve L-functions over function fields,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.408531Z

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 0f1b0af0-ae8d-4e75-8e56-fa90439d76f9 · outbound

This paper cites Neukirch, Algebraic number theory.

On the counting function of cubic function fields Neukirch, Algebraic number theory

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.392594Z

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 061d10b8-98bc-45bb-bce3-98397c923f55 · outbound

This paper cites On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis.

On the counting function of cubic function fields On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:48.916096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc9bac26-b5bf-45bb-a45b-5bb6c7a39f4b · outbound

This paper cites Density of cubic field discriminants,.

On the counting function of cubic function fields Density of cubic field discriminants,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.368603Z

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 2e91c2e7-7ed6-4039-9ca4-d0610dca5081 · outbound

This paper cites Rosen, Number theory in function fields.

On the counting function of cubic function fields Rosen, Number theory in function fields

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.354347Z

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 313b7629-514a-4ae4-8f43-fca1c6e25f03 · outbound

This paper cites Traces of high powers of the Frobenius class in the hyperelliptic ensemble,.

On the counting function of cubic function fields Traces of high powers of the Frobenius class in the hyperelliptic ensemble,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:48.927925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 359839b8-7189-43b6-9fd2-2f8984e03cb3 · outbound

This paper cites Serre: Trees.

On the counting function of cubic function fields Serre: Trees

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.325967Z

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 bf2c3646-d624-459b-8a04-8f43c92ab8d4 · outbound

This paper cites Sato-Tate equidistribution of certain families of Artin L-functions,.

On the counting function of cubic function fields Sato-Tate equidistribution of certain families of Artin L-functions,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.313442Z

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 a16fba81-ed87-4e5e-ba11-c7c19041c10d · outbound

This paper cites Central values of zeta functions of non-Galois cubic fields.

On the counting function of cubic function fields Central values of zeta functions of non-Galois cubic fields

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:40:49.119850Z

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

Observation ff49d6df-bb9e-4bea-aaf0-842e30087baa · outbound

This paper cites Secondary terms in counting functions for cubic fields,.

On the counting function of cubic function fields Secondary terms in counting functions for cubic fields,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.298221Z

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 8e46850c-f9a2-4798-a758-8fb3021122d8 · outbound

This paper cites Orbital exponential sums for prehomogeneous vector spaces,.

On the counting function of cubic function fields Orbital exponential sums for prehomogeneous vector spaces,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.284284Z

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

Observation e2cda1b2-762c-44f8-91f7-0bf64c186a73 · outbound

This paper cites Distribution of Discriminants of Abelian Extensions,.

On the counting function of cubic function fields Distribution of Discriminants of Abelian Extensions,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.270945Z

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 6e4cab19-4d71-4875-86d8-c86526983552 · outbound

This paper cites Yang, Distribution problems associated to zeta functions and invariant theory.

On the counting function of cubic function fields Yang, Distribution problems associated to zeta functions and invariant theory

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.254779Z

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

Observation efcca3a9-229f-47a7-b5f0-9d51157a7a29 · outbound

This paper cites Low-lying zeros of families of elliptic curves,.

On the counting function of cubic function fields Low-lying zeros of families of elliptic curves,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:49.240361Z

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

Observation 9748b6dc-c4d8-43a7-b72f-9c3272cffc2c · outbound

This paper cites an unresolved cited work.

On the counting function of cubic function fields Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:49.224081Z

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

Pith citing papers

No inbound Pith citation observations are available.