Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-29T15:04:30.866341Z
Paper Citation Record · LEDGER
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$
As of 12 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2605.27065.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
10 of 10 outbound references displayed
- verified exact2
- verified fuzzy0
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 86617f23-fb95-4d3a-bebc-10bbddf2457a · outbound
This paper cites Decoupling, exponential sums and the Riemann zeta function.J.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ Decoupling, exponential sums and the Riemann zeta function.J
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T15:04:30.866341Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c0f78d1-95b8-407a-968e-28eef973904c · outbound
This paper cites The proof of thel2 decoupling conjecture.Ann.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ The proof of thel2 decoupling conjecture.Ann
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T15:04:30.866341Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 506b54ce-d7b8-49fd-98f2-76b6fe7f5f2f · outbound
This paper cites Proof of the main conjecture in Vinogradov’s mean value theorem for degrees higher than three.Ann.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ Proof of the main conjecture in Vinogradov’s mean value theorem for degrees higher than three.Ann
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T15:04:30.866341Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5950264-4807-4823-bd37-b6ed4ac3bb5d · outbound
This paper cites Cambridge University Press, Cambridge, 2020.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ Cambridge University Press, Cambridge, 2020
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T15:04:30.866341Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3301881-a420-4a1f-94d7-5ffa83d602f9 · outbound
This paper cites OnL12 square root cancellation for exponential sums associated with nondegen- erate curves inR4.Trans.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ OnL12 square root cancellation for exponential sums associated with nondegen- erate curves inR4.Trans
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T15:04:30.866341Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8955df4-cb22-4c06-a035-e626a8aa042c · outbound
This paper cites Small cap decouplings.Geom.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ Small cap decouplings.Geom
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T15:04:30.866341Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 37683a17-4321-4e35-b385-4778526796cf · outbound
This paper cites Amplitude dependent wave envelope estimates for the cone in $\mathbb{R}^3$.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ Amplitude dependent wave envelope estimates for the cone in $\mathbb{R}^3$
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T15:13:31.609602Z
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 4fe42129-669a-4968-a92a-a5ec265d2a49 · outbound
This paper cites Small cap decoupling for the moment curve inR3.Anal.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ Small cap decoupling for the moment curve inR3.Anal
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T15:04:30.866341Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d57eda4f-d01c-42f1-a5c0-dc14f7a01d7e · outbound
This paper cites On the small cap decoupling for the moment curve in $\mathbb{R}^3$.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ On the small cap decoupling for the moment curve in $\mathbb{R}^3$
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T15:13:31.612200Z
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 68f59ffe-62ec-4e02-bdb6-8124d9246376 · outbound
This paper cites an unresolved cited work.
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ Unresolved cited work
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T15:04:30.866341Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.