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Paper Citation Record · LEDGER

Fourier restriction to hyperbolic rectangles and an application

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

source=arxiv_source observed=2026-08-11T05:21:03.649796Z digest=sha256:526b4138b90fd40ae6608fda9fe75b924abd59d3fdbff8c3412e611dcae4947c

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

source=arxiv_source observed=2026-08-11T05:21:03.654810Z digest=sha256:8cd4519b263e0db3be47c8257bbfa1fcaa38e661bf9d93b414f591cc9ce1f8ba

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

source=arxiv_source observed=2026-08-11T05:21:03.660873Z digest=sha256:0ae06bf396081ffca8884dd2a8ad08a763b01aafffc3aa90b3ddde6979309340

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

source=arxiv_source observed=2026-08-11T05:21:03.665785Z digest=sha256:e4a58de3b5df3c86ab8096ed44ca37647f7b50e1226e67d743f2be608906d646

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

source=arxiv_source observed=2026-08-11T05:21:03.670532Z digest=sha256:a41df1e757d8d42e3c6181d8bc36c854fee08f24d5d432e9efb33b41544b7ed3

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

source=arxiv_source observed=2026-08-11T05:21:03.675530Z digest=sha256:cede7947369280c4f01e0ff9fccc79faad9c3cd39d43d26a9b47678e1e30de40

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

source=arxiv_source observed=2026-08-11T05:21:03.680509Z digest=sha256:1170087e5eaadc046d134066b8e0c923f7fc39aae44f4a8417d5fb860fa9d3de

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

source=arxiv_source observed=2026-08-11T05:21:03.684926Z digest=sha256:2255cd4d17c528a7ec9cd2b65b91551b146c3ab088392bcf2711f39ad68268fc

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

source=arxiv_source observed=2026-08-11T05:21:03.689293Z digest=sha256:e5fbde2b54df0f319089e8a56efa4208fd89e6d76b6dea9f9dec8868b083c3bf

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=sha256:873fb21111a05e88d7cd779d26bbc8017af04bdecaa9f9925dd8cb1ef1373f32

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

source=arxiv_source observed=2026-08-11T05:21:03.698208Z digest=sha256:cb7743a61672c737e4a6f59744daa4994517a02320fd777a0d10d7b6df26a37e

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

source=arxiv_source observed=2026-08-11T05:21:03.702975Z digest=sha256:d0fdebb69860fb9af77c51590ee04e67da98cd1226af10558e19f9e3978f8578

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

source=arxiv_source observed=2026-08-11T05:21:03.707433Z digest=sha256:a1562fcadf03435dfb787023b45479dcad5e0c3f570f40bc63bf94403bbbd9ae

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

source=arxiv_source observed=2026-08-11T05:21:03.711840Z digest=sha256:42302f3e233837a56aca571650dcc0ae2c1781a911fecaf86ae49b85b30c1e92

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

source=arxiv_source observed=2026-08-11T05:21:03.716228Z digest=sha256:c60aacaacf2fc5d3e13471eb5adebe3115287bb1eca6b9888aa94bce31ee37e5

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

source=arxiv_source observed=2026-08-11T05:21:03.720562Z digest=sha256:02a4fe87fd399c1463d6d8cd93efc93ccfa111369fd0b88b340ae20c43d026b1

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

source=arxiv_source observed=2026-08-11T05:21:03.725570Z digest=sha256:8db81c7cefc99f83129acadcfa20f466cf4bb6e3b9ba5743287fd439fa4a93fb

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

source=arxiv_source observed=2026-08-11T05:21:03.729848Z digest=sha256:4e167cf8c07e7ef136b95875b0d11c74050186dea27289cf6486106cbc053fe6

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

source=arxiv_source observed=2026-08-11T05:21:03.734454Z digest=sha256:d3d370bfc788593a10e7c7e199dfe285e3940f7cd8b82e3736ec6acbc98d6bee

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

source=arxiv_source observed=2026-08-11T05:21:03.738774Z digest=sha256:e47445fa7ca236d921fcab02b839c4b38654471ef71d09d0804fd735fd6ad464

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

source=arxiv_source observed=2026-08-11T05:21:03.743504Z digest=sha256:576c2df10cf06b878c364e9483c930ecbc5a2fcc52ddd53bf556bd01d5fd420d

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

source=arxiv_source observed=2026-08-11T05:21:03.747591Z digest=sha256:6422b9c9457cc8a1b4eed57d829f724f7d2479ee5c7beaff657affc45ac8b6e1

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

source=arxiv_source observed=2026-08-11T05:21:03.751792Z digest=sha256:884bf97420a68ac28c0c116a5edd091d7da00b8802c96122d1d488b57d9d4f4d

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

source=arxiv_source observed=2026-08-11T05:21:03.756239Z digest=sha256:a2796892624aa7592bfe050899bf49982f7c3cb48ffbfc617a97f1934da9f05a

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

source=arxiv_source observed=2026-08-11T05:21:03.760708Z digest=sha256:0ce87152934b04aa4914b9c8384049d54ee75225944faa584e77b4427cbb2495

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

source=arxiv_source observed=2026-08-11T05:21:03.764942Z digest=sha256:8aa5d2b412efb1d89f6bb2e9f26165507c552666e0d6471de3931cb2b33aa4aa

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

source=arxiv_source observed=2026-08-11T05:21:03.769796Z digest=sha256:3a99b0b507238599be1e73f45ad59940a4169000203f4a1768b2a1d59d79db80

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=sha256:33c2b2cb3a22ab67d7249b54be87cbd9bf36d181f489a778c0851a2ff7aac909

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

source=arxiv_source observed=2026-08-11T05:21:03.778990Z digest=sha256:3f8fdea5a8d54b5fe16593145ec42183df27a8787cac6c47b7664e81d0f5ea46

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

source=arxiv_source observed=2026-08-11T05:21:03.783123Z digest=sha256:796d2d6d276f4b5b0c9e61b420f1278d94eecf4b6df0b65deebe25be648a950f

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

source=arxiv_source observed=2026-08-11T05:21:03.787765Z digest=sha256:fc6cfc88be4e7492b7c2a5d6812bfa96a5d339d92bfc970e92d3ab4a88f03aca

Pith citing papers

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