Paper Citation Record · LEDGER

The exceptional set of the Goldbach problem

As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.27282.

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

pith.paper-citation-record.v1
2607.27282 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:39:31.716152Z

measured 24 of 24 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

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5edea635-9885-4b7f-9057-90e0fc53dd79 · outbound

This paper cites Conditional bounds on Siegel zeros.

The exceptional set of the Goldbach problem Conditional bounds on Siegel zeros

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:29.427137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e53887e-d0e1-4737-8296-a7a2b7fbc198 · outbound

This paper cites Chudakov.

The exceptional set of the Goldbach problem Chudakov

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:29.530994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72926119-652e-43b5-afd9-ca5f171391d3 · outbound

This paper cites Estermann.

The exceptional set of the Goldbach problem Estermann

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:29.615170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94bd38d1-7d48-4fea-984d-4b3a275c28f4 · outbound

This paper cites An application of the Hardy-Littlewood conjecture.J.

The exceptional set of the Goldbach problem An application of the Hardy-Littlewood conjecture.J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:29.715504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 389cbff1-8e2e-4b7a-9380-e2075ae38031 · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:29.824522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d33374a-6b6d-498b-8016-6157cc5b555f · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:29.947255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00272e74-5b5a-4b32-911e-2d14a7c60004 · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:30.052172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b4ca3a2-ccda-44b3-bc9e-d980ea8f8d49 · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:30.183489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f6191a4-2740-4118-8e31-3a5d3ded6bd5 · outbound

This paper cites New large value estimates for dirichlet polynomials.Annals of Math- ematics, 203(2):53, 2026.

The exceptional set of the Goldbach problem New large value estimates for dirichlet polynomials.Annals of Math- ematics, 203(2):53, 2026

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:30.301343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62803d55-72db-41a5-a9d8-86beae04c3d3 · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:30.418846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a017721-e2a7-44b2-8a3c-adae957cecb8 · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:30.551583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31165a9b-000d-4ee6-943c-3d70148cb6f8 · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:30.689928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 978ca7f5-ff78-4a6a-bb2e-36b3aee63132 · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:30.800704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f8fab7b-621d-48b5-885f-077850adb2ac · outbound

This paper cites On the conditional bounds for Siegel zeros.Acta Math.

The exceptional set of the Goldbach problem On the conditional bounds for Siegel zeros.Acta Math

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:30.888928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3384da1d-a1b0-4e30-bd48-d3810e2a08fc · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:30.971216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9bc0d7f-19c1-4aad-8961-d79936b35f1b · outbound

This paper cites Siegel zeros, twin primes, Goldbach’s conjecture, and primes in short intervals.Int.

The exceptional set of the Goldbach problem Siegel zeros, twin primes, Goldbach’s conjecture, and primes in short intervals.Int

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:31.048991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9f88370-c487-4e80-8e85-e60a8aff31a9 · outbound

This paper cites Small gaps between primes.Annals of Mathematics, 181(1):383–413, 2015.

The exceptional set of the Goldbach problem Small gaps between primes.Annals of Mathematics, 181(1):383–413, 2015

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:31.094761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df664ab5-78e4-45db-ac49-bc2a0bb6398f · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:31.190182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a303ff7c-2a8d-4f49-b4ab-d62badc8e7ff · outbound

This paper cites Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4¨10 18.Math.

The exceptional set of the Goldbach problem Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4¨10 18.Math

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:31.271066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2037e5ef-5696-4e63-b6be-e7c406d769ba · outbound

This paper cites A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach and Generalized Twin Prime Problems.

The exceptional set of the Goldbach problem A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach and Generalized Twin Prime Problems

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:31.318833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10c7c316-9227-47c3-a77c-2f01b6e460e9 · outbound

This paper cites A new explicit formula in the additive theory of primes with applications II. The exceptional set in Goldbach's problem.

The exceptional set of the Goldbach problem A new explicit formula in the additive theory of primes with applications II. The exceptional set in Goldbach's problem

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:31.430134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1b7d9f7-85ea-4763-aa38-0f0ea39e02fa · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:31.515792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2d73698-d80e-4c76-bfe8-6e6c9f704777 · outbound

This paper cites an unresolved cited work.

The exceptional set of the Goldbach problem Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:31.612555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ab9df06-0c4d-4ab8-b57e-8bc8416e996a · outbound

This paper cites Bounded gaps between primes.Annals of Mathematics, 179(3):1121–1174, 2014.

The exceptional set of the Goldbach problem Bounded gaps between primes.Annals of Mathematics, 179(3):1121–1174, 2014

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T10:39:31.716152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.