Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2309.08522.
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 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:43:28.294261Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-29T11:23:20.532390Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 7c8362c6-5a06-4a64-99a6-34506a522132 · inbound
Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions cites this paper.
Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:20:13.174414Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33228bae-91a7-432e-94ac-9a1116ccbb86 · inbound
On the exponents of distribution of primes and smooth numbers cites this paper.
On the exponents of distribution of primes and smooth numbers Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:43:28.294261Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0bd8842-70bc-4687-9828-16fc49a985b5 · inbound
An effective Bombieri-Vinogradov error term for sifting problems cites this paper.
An effective Bombieri-Vinogradov error term for sifting problems Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T07:21:04.982127Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fccf6904-a5da-4e17-af34-ef132457bd2c · inbound
Primes in arithmetic progressions to large moduli and refinements of Harman's sieve cites this paper.
Primes in arithmetic progressions to large moduli and refinements of Harman's sieve Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 26
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T20:00:16.932460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation feaf7278-5528-4395-90c1-92ee8c882111 · inbound
Primes in arithmetic progressions to large moduli and refinements of Harman's sieve cites this paper.
Primes in arithmetic progressions to large moduli and refinements of Harman's sieve Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T21:20:02.976011Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1e1d084-7c43-4b8a-a596-ea0266f5f4b5 · inbound
An update on the Linnik--Goldbach problem cites this paper.
An update on the Linnik--Goldbach problem Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T01:27:55.317094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fb345760-8f02-49e4-9d2c-99db85a2294d · inbound
An update on the Linnik--Goldbach problem cites this paper.
An update on the Linnik--Goldbach problem Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T13:50:42.187053Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a58d4db-2be1-464f-b56c-c02d647b543d · inbound
Prime Number Identification Demonstrated with Quantum Processors Using a New Rescaling-Based Noise Mitigation Technique cites this paper.
Prime Number Identification Demonstrated with Quantum Processors Using a New Rescaling-Based Noise Mitigation Technique Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T11:23:20.537978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 509a3be7-98b1-430a-91a9-5c9e56b25788 · inbound
Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications cites this paper.
Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:29:17.902947Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.