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Paper Citation Record · LEDGER

On the counting function of cubic function fields

As of 18 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 2026-08-18T06:34:40.430872+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

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  • verified fuzzy22
  • unresolved8
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External citation measurements

No source-named external measurement is stored.

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.828876Z digest=sha256:68d2a314298b9b312fc55e48ea783e08783e7cfbcb062f9c697a5abd6230b96f

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

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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.834246Z digest=sha256:7fabee60e4a0a98ee629502abb7cb996e09dc464379c82827422f709e2197423

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.

source=arxiv_source observed=2026-08-16T12:40:48.838978Z digest=sha256:8bad1f38ca4760393a263213e4a27260619a2bea2b894563bf0d2d3dc381f22a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.843810Z digest=sha256:3663ed9cc95414964b5ae964cd24004080460a4f944843835ae3bc6996461ec6

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.

source=arxiv_source observed=2026-08-16T12:40:48.848646Z digest=sha256:7e6696a275ab861bfd3bfbdcf3966975f5bc039ed6991a23d9dcdd37699c8132

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
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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.853250Z digest=sha256:1520d961c2c557b680192023d7f3140b42df7ac62f2d6f0deb171750536812b7

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.858700Z digest=sha256:718277a01cf76eb48f8a62b88929c8518fabf462603256d4da0fc4a248b9f0a3

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

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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.863935Z digest=sha256:1750c6d6289c580b378e3af57b17af4e461d21b19abb613ca90200dc979f8494

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.868101Z digest=sha256:b5473c20b568db49b69eb072e2774928a205ba26308ce90e02488bf5f96f5a22

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.872279Z digest=sha256:5c0ac4224172a03843c3b948ea9743ca2fa4794a96ad31cb996892a9d3dcc0ce

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.876573Z digest=sha256:c6ebd343754ad5a233141b5804774b73eeb26f5ba044a908e8777f351e652ded

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.881480Z digest=sha256:9004fde42812b8bcf44b07159046f41fee65b3faf69233208df9b8d9cbf9a978

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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T12:40:48.885614Z digest=sha256:0a70d08bbcfef72b42c6a9019c41019656aa2932da717adba300b4f56751cfac

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T12:40:48.889224Z digest=sha256:79d21c95d5b14f326e28468c54660a40407bec39079411411cadeca0fb0b7a58

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.893563Z digest=sha256:0cea7e355c706b7d05ee2a612e614d075b235783fbf48104f8f3beb51db74789

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T12:40:48.898104Z digest=sha256:16e49bac13ef447ea09e4730d590097111cff90f21dfac8d4f34e6a97f05dc20

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.902472Z digest=sha256:6d9aa1f87aff9896fd2fc3c1367cc3abc5ee3cf7cdec191bd091f92bfefcd1a6

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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.906796Z digest=sha256:364d606b0cae0667f8103ae8e8191c840d58f7a92b7d142968c0a1cd1c94addd

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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.910876Z digest=sha256:657cee622d4d1e29e1d43d81e99000dd6bcdd2da6a2cd652715676387cce7474

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T12:40:48.916096Z digest=sha256:0b7c7db38b15d2305143e059df310c7c159c304443df384c945ccb4f186ecbb6

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.919991Z digest=sha256:dc0e497dd07eff9e742148d19fe6857c1b75f633f86c73587b9f8fc29131ffea

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.923900Z digest=sha256:2b295951231acf078178b9d5fba7d0bb5e4b3d213ac873493087477217cd935d

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T12:40:48.927925Z digest=sha256:34ac6c0b370127de72863c53401f1347e2b6da82652afdcc1bdcd6452ab7651b

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

This paper cites Serre: Trees.

On the counting function of cubic function fields Serre: Trees

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.931978Z digest=sha256:ef2d40a0e2609488a17507bdf9f4c10ffdf4ebbe3b52f3591db6daf9da9a05c2

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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.935811Z digest=sha256:710f2238cc61fc1a8377dbbd00c01133467f54ded93ca309a9656be11dbacd60

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.939552Z digest=sha256:43a89e6d5f50a04fa75091b7ac591b88d7a5d1554aefa5ea1ca542e08d5a8ec9

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

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.943807Z digest=sha256:a10fcdfb3aa290480afad0fc6f364e9f10d86e4758fed99b4581109e6ff75e2b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.059204Z digest=sha256:bac02ec05ca6e5b0001192074cd90445900cf4b329e936b3aa8e36c4d1a49d15

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
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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.063808Z digest=sha256:225977288416664e31053897f5dfd6afafe4a32ec3a4646abddd2cb454a38cf7

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.068069Z digest=sha256:be6cf4941c83e041e5f8dd3b1981db93d4f380fb42fe6b6931088fc12fa36b63

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.072110Z digest=sha256:a73bd2ea32bf38e359e65d27f3448edfaba6434c27a48298417cb0cc17e8322c

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.076031Z digest=sha256:e8231d66b640a4f9d46e771cf5979b0b38493c4f753b1a4abfdf0d38aca46cec

Pith citing papers

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