Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
On the exponents of distribution of primes and smooth numbers
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2505.00653.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T22:58:07.659576Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-20T01:27:55.306718Z
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 0b60693a-7d76-406b-850d-63979494897d · inbound
An effective Bombieri-Vinogradov error term for sifting problems cites this paper.
An effective Bombieri-Vinogradov error term for sifting problems On the exponents of distribution of primes and smooth numbers
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T07:21:04.972140Z
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 5a4da91e-bbc0-4940-80f3-a29d601225bd · inbound
Non-abelian amplification and bilinear forms with Kloosterman sums cites this paper.
Non-abelian amplification and bilinear forms with Kloosterman sums On the exponents of distribution of primes and smooth numbers
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T22:58:07.659576Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8bc0c88-7a02-4ab2-ba1b-376e8c794ed1 · 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 On the exponents of distribution of primes and smooth numbers
Reference 35
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T20:00:16.919209Z
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 51683b40-5b59-4109-acb6-a7d2cf23e0b3 · 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 On the exponents of distribution of primes and smooth numbers
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T21:20:03.703327Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc73ff80-14ca-4655-8cc5-3df9fd4b9cc9 · inbound
An update on the Linnik--Goldbach problem cites this paper.
An update on the Linnik--Goldbach problem On the exponents of distribution of primes and smooth numbers
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T01:27:55.310939Z
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 9f841c37-ac30-474b-992f-0b60b01503cf · inbound
An update on the Linnik--Goldbach problem cites this paper.
An update on the Linnik--Goldbach problem On the exponents of distribution of primes and smooth numbers
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T13:50:43.164813Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ee9e021-5c6e-4b5f-b95a-e262b87a93e0 · inbound
An improvement on the largest prime factors of consecutive integers cites this paper.
An improvement on the largest prime factors of consecutive integers On the exponents of distribution of primes and smooth numbers
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T21:36:42.216213Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99f194ec-e3d0-4b3f-9d2e-01b2077ca814 · inbound
Bilinear forms with Kloosterman sums via quadratic characters cites this paper.
Bilinear forms with Kloosterman sums via quadratic characters On the exponents of distribution of primes and smooth numbers
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-07-31T18:49:55.901552Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.