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Paper Citation Record · LEDGER

On the small cap decoupling for the moment curve in $\mathbb{R}^3$

As of 19 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2411.18016.

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

pith.paper-citation-record.v1
2411.18016 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:44:56.114558Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T15:04:30.866341Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-29T15:13:31.610729Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy3
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21afc2e0-d2d9-4d41-9b5f-8f8ba28124fc · outbound

This paper cites On the multilinear restriction and kakeya conjectures.

On the small cap decoupling for the moment curve in $\mathbb{R}^3$ On the multilinear restriction and kakeya conjectures

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:44:56.218186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:44:56.084154Z digest=sha256:8738df73e6a88c8d75edcbf3541176812ca29a9d6c0407373a250a703dacdfb7

Observation 30525134-84c1-4b30-ad47-7996691e4c59 · outbound

This paper cites The proof of the l^2 decoupling conjecture.

On the small cap decoupling for the moment curve in $\mathbb{R}^3$ The proof of the l^2 decoupling conjecture

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T11:44:56.089297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:44:56.089297Z digest=sha256:20d9a9297b4d2ee62071b973dcfa1916ab4941e327a1a4428a787ff7b4036d0d

Observation 51276d2b-6ed5-43b5-92e3-6182ee6eca9e · outbound

This paper cites Bombieri and H.

On the small cap decoupling for the moment curve in $\mathbb{R}^3$ Bombieri and H

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:44:56.193548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:44:56.094122Z digest=sha256:bbf53221e71798e73eb96e1ad1d53a652d1728f7a47d6428f7b27db4ffc7a5c8

Observation afe41b0c-6159-4ca5-9690-0b62c9ad0efe · outbound

This paper cites Decoupling inequalities and some mean-value theorems.

On the small cap decoupling for the moment curve in $\mathbb{R}^3$ Decoupling inequalities and some mean-value theorems

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:44:56.178732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:44:56.098763Z digest=sha256:17d6ad0a7c4e809241ee1cd73127263408b00c12eb168d229005bbe8a47e1086

Observation 02e04381-ab6d-4e4b-8651-53b13a1e4211 · outbound

This paper cites Small cap decouplings.

On the small cap decoupling for the moment curve in $\mathbb{R}^3$ Small cap decouplings

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T11:44:56.103248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:44:56.103248Z digest=sha256:0077fa1a2b01b520f2bfbe47aa04b7e9a191342c6901a76813e054953929ff66

Observation 59b3e351-2bdb-4837-bf1b-e2a61c1a95e5 · outbound

This paper cites Small cap decoupling for the moment curve in R ^3 , 2022.

On the small cap decoupling for the moment curve in $\mathbb{R}^3$ Small cap decoupling for the moment curve in R ^3 , 2022

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T11:44:56.109267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:44:56.109267Z digest=sha256:45086f6ce0bc05eb0d00ac24c2014758dd53e351c8f48c7f2323e7402bef3c4f

Observation caad2c67-4434-49c3-a48c-cb542cf793ba · outbound

This paper cites Restriction estimates for space curves with respect to general measures.

On the small cap decoupling for the moment curve in $\mathbb{R}^3$ Restriction estimates for space curves with respect to general measures

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-12T11:44:56.114558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:44:56.114558Z digest=sha256:f9ca1f8c2a8bfe9dbee0fede16498a1d5bc1df2a7ffa33200e67130ef253b5a8

Pith citing papers

Observation d57eda4f-d01c-42f1-a5c0-dc14f7a01d7e · inbound

A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ cites this paper.

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-29T15:04:30.866341Z digest=sha256:57279faadd8d7acedc64ffb9eda22890582eb76bdd81e7c9451869e87e067b8e