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Paper Citation Record · LEDGER

Fourier restriction to hyperbolic rectangles and an application

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.09871.

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

pith.paper-citation-record.v1
2608.09871 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:21:03.787765Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

31 of 31 outbound references displayed

  • verified exact2
  • verified fuzzy27
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f584ea3f-a4af-4d70-9e03-3ff8ffce1f2e · outbound

This paper cites The multilinear restriction estimate: almost optimality and localization.

Fourier restriction to hyperbolic rectangles and an application The multilinear restriction estimate: almost optimality and localization

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.334048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.649796Z digest=sha256:60fda86b7dc743b1ef633ca62d21289f2ee071d0e57f557d533dad052bc5a21b

Observation f67d7801-9847-4ab1-a908-e5e78cb75bef · outbound

This paper cites On the multilinear restriction and Kakeya conjectures.

Fourier restriction to hyperbolic rectangles and an application On the multilinear restriction and Kakeya conjectures

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.319979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.654810Z digest=sha256:e49e7fb057f4f96d70971fa6fa430c74bed56c4051e7835be031b478f8436925

Observation 80f4fc5f-3d17-4a39-b266-d00cdf79307f · outbound

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

Fourier restriction to hyperbolic rectangles and an application The proof of the l 2 decoupling conjecture

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.305316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.660873Z digest=sha256:592a31c32ecaa9ac2387e69ab98ad94f9a5557715dabdf9406522c8837d14efc

Observation de12bab7-7d9a-4767-b2ad-2e3ed19d9d43 · outbound

This paper cites Bounds on oscillatory integral operators based on multilinear estimates.

Fourier restriction to hyperbolic rectangles and an application Bounds on oscillatory integral operators based on multilinear estimates

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.291484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.665785Z digest=sha256:ed3f8146233082dd87efbb6b8df2ac66a0d7adb419bc104be45a19ffd4b53bbd

Observation 127cb3b7-9afa-4783-8310-02bebe11d34c · outbound

This paper cites A Fourier restriction theorem for a two-dimensional surface of finite type.

Fourier restriction to hyperbolic rectangles and an application A Fourier restriction theorem for a two-dimensional surface of finite type

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.278007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.670532Z digest=sha256:09a62d36bb2109e82d8e1f78e30954af8089014fb78652898460de31d17d111a

Observation 7c692738-65d4-4a6c-82a0-0b7380a4460e · outbound

This paper cites Fourier restriction for smooth hyperbolic 2-surfaces.

Fourier restriction to hyperbolic rectangles and an application Fourier restriction for smooth hyperbolic 2-surfaces

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.263777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.675530Z digest=sha256:8294f5634a59447c56c4362d6b7495e818fe2fa6cba8d26cb89c9b785fafcbb6

Observation b3c507b0-ab1e-4ce3-9034-a0f2dad973c3 · outbound

This paper cites Variation bounds for spherical averages.

Fourier restriction to hyperbolic rectangles and an application Variation bounds for spherical averages

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.249206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.680509Z digest=sha256:18a7df5f930ff5cc1650b67baf90d5c1b836d7ebf54025f9691bbcf1355f09df

Observation 40adb871-5c53-4456-a027-de2e7a94994b · outbound

This paper cites Restriction inequalities for the hyperbolic hyperboloid.

Fourier restriction to hyperbolic rectangles and an application Restriction inequalities for the hyperbolic hyperboloid

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.235871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.684926Z digest=sha256:fe794330e7f480208c3da2d660c66c7551e7bd699f31f6a82f7ed0e5893b578f

Observation 55a1aa4f-d2b1-4ae6-8dfb-3fc1edeaa8cd · outbound

This paper cites Improved restriction estimate for hyperbolic surfaces in R3.

Fourier restriction to hyperbolic rectangles and an application Improved restriction estimate for hyperbolic surfaces in R3

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.221181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.689293Z digest=sha256:39df63b172eae214e611e6ae8a41dd1f82f2363ac723e7f8b3be7a7838a8b217

Observation 7feb443b-f1b6-44e3-945b-717d1ee7b1c1 · outbound

This paper cites Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$.

Fourier restriction to hyperbolic rectangles and an application Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T05:21:03.693256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:21:03.693256Z digest=sha256:b8271a78be78cec6a39b490e333a8bc48959e2d58940d346dc61353d421f160b

Observation e0e2c296-cb2f-4b46-8f32-f0c7bf55ab23 · outbound

This paper cites Restriction estimates for surfaces with negative curvature in R^ 3.

Fourier restriction to hyperbolic rectangles and an application Restriction estimates for surfaces with negative curvature in R^ 3

Reference 11

Resolution
verified exact
raw_fallback, observed 2026-08-11T05:21:03.922491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.698208Z digest=sha256:6839a327b5162e84453ed0e3bd4ea276dce9c7fd2dac3a1dda84354ec532bbd2

Observation 6feff78f-a7dd-4580-8ee9-77ae7fe84cda · outbound

This paper cites A restriction estimate for surfaces with negative Gaussian curvatures.

Fourier restriction to hyperbolic rectangles and an application A restriction estimate for surfaces with negative Gaussian curvatures

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.205821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.702975Z digest=sha256:6dd63480738c11443c25f54603fdc762ec56768bae3dc4f152d5a160ce354d5f

Observation aeffdbc4-1e2c-466c-8145-e2a6f252ae97 · outbound

This paper cites A restriction estimate using polynomial partitioning.

Fourier restriction to hyperbolic rectangles and an application A restriction estimate using polynomial partitioning

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.192181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.707433Z digest=sha256:61254753e3efbb1d735486a2f1ad9e80fc5c5aa4c0ad2659884406f2be39dc8f

Observation ffdef955-4812-43df-97bb-fef119fbfe5c · outbound

This paper cites Restriction estimates using polynomial partitioning II.

Fourier restriction to hyperbolic rectangles and an application Restriction estimates using polynomial partitioning II

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.178078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.711840Z digest=sha256:89257adefbc53c829288171d77be989da93b974b6483450fd636dcd2abb9d82f

Observation b61449d0-2b06-428d-a17b-8a0446135cf8 · outbound

This paper cites Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra.

Fourier restriction to hyperbolic rectangles and an application Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.164343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.716228Z digest=sha256:8cf0b7fda5a983ea4faef1a3472c22502c281a3fd2b371f839b53caf21a8fdf2

Observation 0f89951e-0001-4ef2-b65e-a1b519c564be · outbound

This paper cites Some remarks on Fourier restriction estimates.

Fourier restriction to hyperbolic rectangles and an application Some remarks on Fourier restriction estimates

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:21:03.845092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.720562Z digest=sha256:1c65179c358f11ffa4de9265760e21556de88154c60e16833dab1d9362237190

Observation 10b6a3b5-352a-48c3-966b-8401818a8770 · outbound

This paper cites Bilinear restriction estimates for surfaces with curvatures of different signs.

Fourier restriction to hyperbolic rectangles and an application Bilinear restriction estimates for surfaces with curvatures of different signs

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.150265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.725570Z digest=sha256:a7ab3bc58422a75ffe11af1298c5596916454e972ffccd18a8460b67d9add77d

Observation 77ff5f12-736f-444e-9b95-434c21cdfb49 · outbound

This paper cites Restriction estimates for some surfaces with vanishing curvatures.

Fourier restriction to hyperbolic rectangles and an application Restriction estimates for some surfaces with vanishing curvatures

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.135910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.729848Z digest=sha256:163ea755cbf0f66248fe8596664a1b173c763470ad0c1fb714f1dbeec5b7cd4f

Observation df9f9912-d3f2-4682-aff1-fbebaafbe6df · outbound

This paper cites An improved bilinear restriction estimate for the paraboloid in ^3.

Fourier restriction to hyperbolic rectangles and an application An improved bilinear restriction estimate for the paraboloid in ^3

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.122020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.734454Z digest=sha256:be99ca6ebf8f82dab5eea1506159092db5fd7f1b43b2cb6300885df15e400edc

Observation a721d08e-a1db-451b-a51b-3734552c54c8 · outbound

This paper cites Some problems in harmonic analysis.

Fourier restriction to hyperbolic rectangles and an application Some problems in harmonic analysis

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.107529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.738774Z digest=sha256:13f8c4bbd8eeb4dc594f5684a840da4e6149ceb8c9568b9ed3824dc0e48fed61

Observation eff44495-24e9-4a25-a649-b6df7302ff4f · outbound

This paper cites Scale-invariant Fourier restriction to a hyperbolic surface.

Fourier restriction to hyperbolic rectangles and an application Scale-invariant Fourier restriction to a hyperbolic surface

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.093343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.743504Z digest=sha256:37ccd523bb7fc15dbcf32bf89ab091c1af2081d7ddfaf797b4466b2b25b32ae3

Observation f7b4aec4-8567-4f52-8b02-307c4b0383af · outbound

This paper cites Fourier restriction above rectangles.

Fourier restriction to hyperbolic rectangles and an application Fourier restriction above rectangles

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.078340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.747591Z digest=sha256:5b063ff5ece2706d79364778e8f199fd1271a308bc2cc2e5552507cea42e09cc

Observation 6cf1b2c7-f02e-49a5-bcc7-d1b095105c4a · outbound

This paper cites A restriction theorem for the Fourier transform.

Fourier restriction to hyperbolic rectangles and an application A restriction theorem for the Fourier transform

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.063226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.751792Z digest=sha256:94bf772ae76bcb127cf5bc8b19067feb1e5b4686060df0152f7fb2e7d99ead03

Observation 766c81d1-7564-4323-bbef-a789f0ca1d59 · outbound

This paper cites A sharp bilinear restriction estimate for paraboloids: T.

Fourier restriction to hyperbolic rectangles and an application A sharp bilinear restriction estimate for paraboloids: T

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.048767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.756239Z digest=sha256:8a44a1cbfb14bd94a14baa13fc9d9d94d8f5c43ed51ca27836b62ca3c3b4221c

Observation d08fb504-a36d-4376-ba32-28e7d9263f2e · outbound

This paper cites A bilinear approach to cone multipliers I.

Fourier restriction to hyperbolic rectangles and an application A bilinear approach to cone multipliers I

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.033810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.760708Z digest=sha256:c7a2e9e1945d63369208903cd68e9810c4a74a53e8eb05850818cf75670ae248

Observation de40e0b2-2620-4507-8e3a-6206052047ad · outbound

This paper cites A bilinear approach to the restriction and Kakeya conjectures.

Fourier restriction to hyperbolic rectangles and an application A bilinear approach to the restriction and Kakeya conjectures

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.016737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.764942Z digest=sha256:e8b37e18473f78d2ce2912c71e5a2ac80cc7e8f48f2cf0b642722e5bb12155a9

Observation 882ab9ac-07f3-4efb-84b5-10e2a389fed1 · outbound

This paper cites Restriction theorems for a surface with negative curvature.

Fourier restriction to hyperbolic rectangles and an application Restriction theorems for a surface with negative curvature

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:04.001559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.769796Z digest=sha256:a3863787ad2c6a3fc12932276f96591ec5772b7c596b0f270620745e0208c756

Observation 69f3da09-f0d8-4aeb-a15b-6dc7d7a96d37 · outbound

This paper cites Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities.

Fourier restriction to hyperbolic rectangles and an application Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-11T05:21:03.774073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:21:03.774073Z digest=sha256:724442b306a1b9fb1f8a79201a0e298e9a88874e5eb74a75735661e6e07a0450

Observation 7887ac8b-910f-4f39-aea7-ef641dcdce2d · outbound

This paper cites Restriction estimates for 2D surfaces of finite type 3 and applications to dispersive equations.

Fourier restriction to hyperbolic rectangles and an application Restriction estimates for 2D surfaces of finite type 3 and applications to dispersive equations

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:03.984634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.778990Z digest=sha256:3b40cccf5f702511109234d97ae90dad691cdc203c010bcc2c56cc46b8b62bd4

Observation b7968c1a-24e8-46ed-b725-4cb96a0bbc49 · outbound

This paper cites A sharp bilinear cone restriction estimate.

Fourier restriction to hyperbolic rectangles and an application A sharp bilinear cone restriction estimate

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:03.968620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.783123Z digest=sha256:a2887b69cb62b7a617e1ced5e8ebd99574f43a6c4977f19bf3048bea3f589244

Observation 50e1e112-8f65-48f2-b50a-617ca4ab9f5d · outbound

This paper cites On Fourier coefficients and transforms of functions of two variables.

Fourier restriction to hyperbolic rectangles and an application On Fourier coefficients and transforms of functions of two variables

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:21:03.954092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T05:21:03.787765Z digest=sha256:8e9ea8eafb2b50cc5d6ddfd0d97209a9278d43d0350e9c8c37f6b843012b6edf

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