Pith. sign in

Paper Citation Record · LEDGER

On the counting function of cubic function fields

As of 22 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 2026-08-22T06:32:14.747728+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
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.828876Z digest=sha256:14a2795a74d21f7b926d5c335ad54d4c43664a41453a5205010e35650ee6d466

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.834246Z digest=sha256:27c441445cfcd856c5fb93d74afd49a0e5d9cfd5afe16008367ae8bb05c74676

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=sha256:1725386eb7dfd608dfc7ae0d48db7699c86b4c9766b6bce25c6181837101b9f4

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.843810Z digest=sha256:8871b7e374e006d259bc88a4eb856088de3c85540ce2307bc5a2b02c08cdea6d

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=sha256:1ed3a8e0dc8c4d72c0551586f2950852a589a309269a3ee118cf246c220f3cab

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.853250Z digest=sha256:a6b411904c1369f4dc52d852b77223da66ac0c6788ee2123424108a4e1fd8cbe

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.858700Z digest=sha256:ebe27a56956335f6598876e635b3383eac0ad7e20c092a3acd3aef0c34926d6a

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.863935Z digest=sha256:aa853764d517f57964265e05baacd5d43a8f5f3a5f5932a9af6b3d99cfc96eb0

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.868101Z digest=sha256:a0ea9f76d455f476d458e7beb757f55ef02b26de94888cae58ff460f4d9657c2

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.872279Z digest=sha256:57516b99db2e4ea30c722448a140a2b74474bc3d9376e2868d1ee68a12c9bd29

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.876573Z digest=sha256:85d6ecd20f72c79843cf38a978a88308621d22690f4d2f2e9b1d6faca33026cc

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.881480Z digest=sha256:fb1085f0bb0015fd33f7b902ff84c85ca0cee0db2be009a141caf2c236e4966a

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.

source=arxiv_source observed=2026-08-16T12:40:48.885614Z digest=sha256:69eeb82a3ef8dbb574885e7773e3ce04c8e26aaf6e1bc32f84accb6e42d61f62

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.

source=arxiv_source observed=2026-08-16T12:40:48.889224Z digest=sha256:6ce77448834d3c40850b1cc0e2c9f91566a8fc94ff9096f916b5e66590a304dc

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.893563Z digest=sha256:ff8b41a77ed6346deeabdee2f48d8f5e31997c111fd6b77b6d9680d76027eb3e

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.

source=arxiv_source observed=2026-08-16T12:40:48.898104Z digest=sha256:8cb09238baabda9b1dd250c3335081feee62b06a35fabce47db2609981ae430b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.902472Z digest=sha256:29eb069754a8f26e75f9de173f632ea9a1ae0eadfeb37beaeff6caf27d18c8fd

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.906796Z digest=sha256:7241c79abbd8ab17eacecdea9100fab9eef4de52e28bea5f98098c486862c62e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.910876Z digest=sha256:7326f074b33619fdf65aadcf582b69c6aa04382f02285489ea98d072cfaa6307

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.

source=arxiv_source observed=2026-08-16T12:40:48.916096Z digest=sha256:43a865a71ebf41f2cdc519ec43d85dbf6f4d05dc7a9c2ecd3ba2bec1bece2dd6

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.919991Z digest=sha256:29b94ba67dd2a5dc70e981321503215b679a1cad47b71e155d403b866777f54f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.923900Z digest=sha256:103b6a3f9cc6d6147d8684f5737755fd7365156c15da1a6c081c0c6577f3bcd5

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.

source=arxiv_source observed=2026-08-16T12:40:48.927925Z digest=sha256:99d35ba599cf9b02eb715b3bc2bfb1203990ed12a3f94828efe7aa8d8b88d9fa

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.931978Z digest=sha256:4a1678fc259b84be167ee63cd15d50cf2ad6621dd7cbf5e5ce67edc9f05392d3

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.935811Z digest=sha256:3dcd527023452ba98cd571bbd00cfaf81f104d75b2455368cc332864502d2276

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.939552Z digest=sha256:f2d57be109a8547520cbfcbf331c7b78f1d72240cbbdb12cbd07e408e9a97ffa

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.943807Z digest=sha256:25f074fc23fa1c84d9af7c87bf2d9a4328e4e07709829a098682d5c50b345641

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.059204Z digest=sha256:752c3f6bcf0c9f283c673649a8ca16fc82b9e567b11b3957e08b2bd70103b00b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.063808Z digest=sha256:053ab14498648d494d0448581304b1fb7b579a3a6f1875d069ee4e126eef3b20

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.068069Z digest=sha256:963e6bf974c0771760431945ea56c9cc628b067c8ef16f52cdd1c1a0cdf92123

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.072110Z digest=sha256:dfb8a8c070e02d971b268567d9833f0951a6eaafe3c042f0f66a82e211d8d46b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:49.076031Z digest=sha256:e0d609cfefb43f2696c8c61559652c993d2b0f8cac8c178fe5ccf264f1606caa

Pith citing papers

No inbound Pith citation observations are available.