Paper Citation Record · LEDGER

On the level of distribution of Goldbach primes and its applications

As of 12 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2606.29559.

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

pith.paper-citation-record.v1
2606.29559 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T01:54:48.918002Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

17 of 17 outbound references displayed

verified exact3
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 88c95948-559d-4e85-8aca-c2281f2ddd8d · outbound

This paper cites Small gaps between goldbach primes.arXiv preprint arXiv:2508.02769, 2025.

On the level of distribution of Goldbach primes and its applications Small gaps between goldbach primes.arXiv preprint arXiv:2508.02769, 2025

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-30T02:54:11.523279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d42138b0-7216-4621-b0f7-190d3444240a · outbound

This paper cites On the a-dependence of the linear sieve with application to polynomial sequences.

On the level of distribution of Goldbach primes and its applications On the a-dependence of the linear sieve with application to polynomial sequences

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 444af40f-6bf1-4213-85c1-f2a70cc46fcf · outbound

This paper cites an unresolved cited work.

On the level of distribution of Goldbach primes and its applications Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09f348fc-58fc-4afe-a96e-6e74c14ae6db · outbound

This paper cites Goldbach numbers in short intervals.Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 23(3):1395–1416, 2022.

On the level of distribution of Goldbach primes and its applications Goldbach numbers in short intervals.Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 23(3):1395–1416, 2022

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf07e42c-deb6-47de-a1f8-45972fda8f51 · outbound

This paper cites The Exceptional Set in Goldbach's Problem with two Chen Primes.

On the level of distribution of Goldbach primes and its applications The Exceptional Set in Goldbach's Problem with two Chen Primes

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-30T01:19:06.505001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 475ac3e6-0934-4250-914e-485c3f6c6612 · outbound

This paper cites Prime numbers in short intervals and a generalized vaughan identity.

On the level of distribution of Goldbach primes and its applications Prime numbers in short intervals and a generalized vaughan identity

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f0221e6-4a55-41c7-a453-9db4d61a5886 · outbound

This paper cites Lectures on sieves.

On the level of distribution of Goldbach primes and its applications Lectures on sieves

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-06-30T02:54:11.519805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 32b2e1cf-f352-4c7f-9894-e6b81f8e5b9d · outbound

This paper cites The primek-tuplets in arithmetic progressions.Tsukuba Journal of Mathe- matics, 17(1):43–57, 1993.

On the level of distribution of Goldbach primes and its applications The primek-tuplets in arithmetic progressions.Tsukuba Journal of Mathe- matics, 17(1):43–57, 1993

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7847a1c-fd2a-48ba-965e-0740b5dacdcb · outbound

This paper cites Unusually large gaps between consecutive primes.Trans- actions of the American Mathematical Society, 322(1):201–237, 1990.

On the level of distribution of Goldbach primes and its applications Unusually large gaps between consecutive primes.Trans- actions of the American Mathematical Society, 322(1):201–237, 1990

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ebfb458-48f0-4f23-801c-a49aae15e04d · outbound

This paper cites A bombieri–vinogradov type exponential sum result with applications.Jour- nal of Number Theory, 129(9):2214–2225, 2009.

On the level of distribution of Goldbach primes and its applications A bombieri–vinogradov type exponential sum result with applications.Jour- nal of Number Theory, 129(9):2214–2225, 2009

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b017c40-d777-4221-95d3-8ddbf133b1fe · outbound

This paper cites Correlations of the von mangoldt and higher divisor functions i.

On the level of distribution of Goldbach primes and its applications Correlations of the von mangoldt and higher divisor functions i

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7978b35d-a798-4623-848e-c441ec56b976 · outbound

This paper cites Vinogradov’s three primes theorem with almost twin primes.Compositio Mathematica, 153(6):1220–1256, 2017.

On the level of distribution of Goldbach primes and its applications Vinogradov’s three primes theorem with almost twin primes.Compositio Mathematica, 153(6):1220–1256, 2017

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfa114f3-72d6-4e96-ae36-b6382b241e87 · outbound

This paper cites Weighted sieves with switching.Mathe- matical Proceedings of the Cambridge Philosophical Society, 179(2):351–372, 2025.

On the level of distribution of Goldbach primes and its applications Weighted sieves with switching.Mathe- matical Proceedings of the Cambridge Philosophical Society, 179(2):351–372, 2025

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fec6c5b3-3abd-4b31-8c75-a115acd6fbe8 · outbound

This paper cites A note on integers expressible as the sum of three squares of primes.Acta Arithmetica, 214:399–419, 2024.

On the level of distribution of Goldbach primes and its applications A note on integers expressible as the sum of three squares of primes.Acta Arithmetica, 214:399–419, 2024

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f083e82a-d29b-4838-815f-7615e163a6a1 · outbound

This paper cites On prime twins in arithmetic progressions.Tsukuba Journal of Mathematics, 16(2):377–387, 1992.

On the level of distribution of Goldbach primes and its applications On prime twins in arithmetic progressions.Tsukuba Journal of Mathematics, 16(2):377–387, 1992

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99d7dcba-4faa-4d7d-aa26-58200e41568c · outbound

This paper cites The exceptional set of goldbach’s problem.Acta arithmetica, 27:353–370, 1975.

On the level of distribution of Goldbach primes and its applications The exceptional set of goldbach’s problem.Acta arithmetica, 27:353–370, 1975

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59966dbf-455a-4d67-83cd-a617e966145c · outbound

This paper cites Additive problems with prime numbers of special type.Acta Arithmetica, 96:53–88, 2000.

On the level of distribution of Goldbach primes and its applications Additive problems with prime numbers of special type.Acta Arithmetica, 96:53–88, 2000

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-30T01:54:48.918002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.