Paper Citation Record · LEDGER

A refined trilinear Kakeya estimate in $\mathbb{R}^3$

As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.18769.

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

pith.paper-citation-record.v1
2506.18769 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:56:04.852550Z

measured 24 of 24 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy14
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf31da6e-7443-4aa9-aef9-1d34bcfa89c8 · outbound

This paper cites Bennett, A trilinear restriction problem for the paraboloid in R3, Electron.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Bennett, A trilinear restriction problem for the paraboloid in R3, Electron

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.425319Z

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.

Observation 90ac75f3-8894-4976-b91b-4381355f39c3 · outbound

This paper cites Bennett, A.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Bennett, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.410126Z

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.

Observation 13e32388-65cc-4065-a9eb-12e99d43e135 · outbound

This paper cites Bourgain, On the restriction and multiplier problems in R3, Geometric aspects of functional analysis (1989), 179–191, Lecture Notes in Math ., 1469, Springer, Berlin, 1991.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Bourgain, On the restriction and multiplier problems in R3, Geometric aspects of functional analysis (1989), 179–191, Lecture Notes in Math ., 1469, Springer, Berlin, 1991

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.395545Z

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.

Observation 27933218-2aa8-4d0b-b4d2-765b907255ee · outbound

This paper cites Bourgain, C.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Bourgain, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.379428Z

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.

Observation e5662613-06d1-4960-b0a0-a8ab0a1a769e · outbound

This paper cites Bourgain, L.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Bourgain, L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.362265Z

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.

Observation 5981d4b2-e93e-402e-82ce-7148502fb198 · outbound

This paper cites Carbery, S.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Carbery, S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.347361Z

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.

Observation 34c74dc2-5d85-4c96-8999-0e3b8964f090 · outbound

This paper cites C´ ordoba,Geometric Fourier analysis , Ann.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ C´ ordoba,Geometric Fourier analysis , Ann

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.331828Z

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.

Observation 29a5ea13-f4a0-4f84-aeb7-fa2452758c91 · outbound

This paper cites an unresolved cited work.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:56:05.316716Z

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.

Observation aba120cf-ac09-4e6e-b23a-697dd1318091 · outbound

This paper cites an unresolved cited work.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:56:05.300689Z

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.

Observation 4fbdc82c-b49e-4f62-abe8-63be5e1dd847 · outbound

This paper cites Guth, The endpoint case of the Bennett-Carbery-Tao multilinear Kak eya conjecture, Acta Math.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Guth, The endpoint case of the Bennett-Carbery-Tao multilinear Kak eya conjecture, Acta Math

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.285383Z

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.

Observation 4315ad9b-d260-4f0c-8b6a-adb642df719b · outbound

This paper cites Guth, A short proof of the multilinear Kakeya inequality , Math.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Guth, A short proof of the multilinear Kakeya inequality , Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.268625Z

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.

Observation 040a9194-f21c-4aa1-9308-a2304f837ddd · outbound

This paper cites an unresolved cited work.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:56:05.253715Z

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.

Observation c699398e-5907-4668-8ea8-2ab4b895e68a · outbound

This paper cites Hickman, K.M.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Hickman, K.M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.239267Z

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.

Observation 3b307293-779d-4f39-9f9f-08750e95f7ab · outbound

This paper cites an unresolved cited work.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:56:05.224448Z

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.

Observation 47697d93-743d-4123-8e33-63d6f214d797 · outbound

This paper cites an unresolved cited work.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:56:05.208904Z

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.

Observation 19b77ba1-584e-4182-b474-f67156808ad4 · outbound

This paper cites an unresolved cited work.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T18:56:04.816192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be800ce1-516d-451a-9341-efca31a5985b · outbound

This paper cites Ramos, A trilinear restriction estimate with sharp dependence on t ransversality, Amer.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Ramos, A trilinear restriction estimate with sharp dependence on t ransversality, Amer

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.191967Z

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.

Observation ba2940bd-cb15-4579-b8c9-40b7fff17d43 · outbound

This paper cites Ramos, A reﬁned trilinear restriction estimate in R3, preprint.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Ramos, A reﬁned trilinear restriction estimate in R3, preprint

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.175307Z

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.

Observation 5d146323-4e64-4bef-933f-9e60fdcce619 · outbound

This paper cites an unresolved cited work.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:56:05.159426Z

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.

Observation e56f9106-ff08-4db4-afd2-aacb8449c658 · outbound

This paper cites an unresolved cited work.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:56:05.144656Z

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.

Observation f8004c98-e33a-4e7a-9b22-e225211a3c8c · outbound

This paper cites Zahl, New Kakeya estimates using Gromov’s algebraic lemma , Adv.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Zahl, New Kakeya estimates using Gromov’s algebraic lemma , Adv

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.129344Z

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.

Observation d7a1328d-e0b4-453b-841e-c1baeb3c8204 · outbound

This paper cites an unresolved cited work.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T18:56:04.843090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0aae78a8-12b5-49f8-961a-3d6737058613 · outbound

This paper cites Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T18:56:04.847360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32a395ac-08a0-4613-9fb0-5ac3ea46ae8a · outbound

This paper cites Zhang, The endpoint perturbed Brascamp-Lieb inequality with exampl es, Anal.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Zhang, The endpoint perturbed Brascamp-Lieb inequality with exampl es, Anal

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:56:05.114130Z

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.

Pith citing papers

No inbound Pith citation observations are available.