Paper Citation Record · LEDGER

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture

As of 11 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2604.25969.

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

pith.paper-citation-record.v1
2604.25969 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T15:31:28.801135Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T08:49:15.693897Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T08:54:29.801853Z

Reference resolution

12 of 12 outbound references displayed

verified exact0
verified fuzzy0
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a4c83a3-3131-450f-9083-3d121efa04ae · outbound

This paper cites Prime Number Theorems for Polynomials from Homogeneous Dynamics.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture Prime Number Theorems for Polynomials from Homogeneous Dynamics

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.769800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76b1e6d3-914f-44ef-b57a-ae98a78e174c · outbound

This paper cites & Sofos, E.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture & Sofos, E

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.773890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa6426e7-9baf-46ab-bcd3-c70ac70cc02b · outbound

This paper cites & Wooley, T.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture & Wooley, T

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.776719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc037ba1-b89c-447b-808e-2737b71cc082 · outbound

This paper cites D., Sofos, E.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture D., Sofos, E

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.779531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f273471-0b5d-4119-86e4-f7065da220c3 · outbound

This paper cites & Wang, Z.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture & Wang, Z

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.782710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 016fe1bd-80bc-4f05-942c-2a74681384d9 · outbound

This paper cites an unresolved cited work.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.785485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 017317c3-a34c-411b-88e6-14b90bf703c1 · outbound

This paper cites an unresolved cited work.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.788730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d4574c7-b482-4219-a7fa-39c16d9b8397 · outbound

This paper cites an unresolved cited work.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.791091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eed989cd-4f65-43dd-9481-2cb7cf5ce5bd · outbound

This paper cites an unresolved cited work.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.793582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 712fd4c7-6975-4f2f-a6ed-00d89bfdecd1 · outbound

This paper cites an unresolved cited work.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.796030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 283c3333-eb49-4a33-93a2-7dad4a9e9531 · outbound

This paper cites an unresolved cited work.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.798572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1644a95-1141-4be6-b9e7-ec9fbc9d7b43 · outbound

This paper cites T., Prendiville, S.

Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture T., Prendiville, S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T15:31:28.801135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 933595a8-ae19-412e-932b-e9dd911ba11a · inbound

Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures cites this paper.

Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-06-30T08:54:29.803722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.