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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:44:56.084154Z digest=sha256:1ed5fec533dc0c833acb5fecd850e19fb0270f70a127e5a29e73d41773c246de

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=sha256:6235e55b2d39b5e63fc47cb847bd92469f2462139580e23ac000b017a5cbcf3b

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:44:56.094122Z digest=sha256:402955db2934a40b9973707ad9ec154de5d45d81f5bdf603b29bcbfe02c6f042

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:44:56.098763Z digest=sha256:09f1120e233a1395962863262c17b2507ef8668437e045c6e9b58158c9a60fcf

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=sha256:4a051f96c81a24d8f57b58d122470451c0eacf7a006926b58cc962bdab1c6094

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=sha256:065d3a8f09d1ff8bdbf1dfed6b17121d1448b7f8b33fe0d9a2708805a936b232

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:b63ead9c9c5cbaab335738ad5fde4f3cad94118c8c2a9495fd980aec5cbf0932

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-29T15:04:30.866341Z digest=sha256:f4e6a2115a1edcb3b68856c8128aff3079901bdda16bdd01b038b8150ebada7e