Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T10:39:31.716152Z
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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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.
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.
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.