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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=sha256:8a67d08b7ee87da6ebfebc1c3b33c28b24ed0c7808ac37a57d61f7fe600a4b71

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:be6f8a0af0a99648789d7996e081935aad25ef9fe0e5e8fe74cb2edc21edfc53

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=sha256:671fe248392d358c5555f39767956c4f403dcc51cf2cab105998ed8bb32ee6a9

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=sha256:549d9d3131e3d20b9db21bf70cf3ef3265ac42df444320f175e5edd2fb1e871a

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:e4c180465aab80cbf344eccd4a3d6a1a2a4d34a5a611409593e0154fa2e194d7

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=sha256:7557c62c8f05e867a42b55559844952fc068499a9eddc39f62b86fa963bb85b9

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=sha256:77aa0e9b5185b93c9a6c0cfa8f2814be978ef38278fac6194b2f751efec700ba

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=sha256:341f0601da10a4879a91ba7af6074eacc44553eb90840e530efe821436903700

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:f6f61a5ce9855b2b0c5534637e2b96280b9856e8f62a4973c6813df5ec1686f9

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:e7021e20d44ec1f39e0aac6bb06ecfda9bc822e892f73e87a2ec35f88b133777

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=sha256:2343bab15a0a96eb63281e1ca1a49625ff5381e4d13029eec22950e545b81556

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:f980c7f8075964c4584a9bb0d0cc79c8a73fc56450d666d3cd0ec1f6a52c9ec0

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:f668dcf1667ab55bf9906cf519f5e59de435317c3382dafd97fb3fd6724c0221

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=sha256:23c0fa404dd0866e62c7ee256db7c3a87ff921d0cd9aa6c286a066026258da46

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=sha256:6d9ee2272a36d93cec6b187cf0da29a36db31d3f1d12061f6ddf62690000c85b

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:b527cd9797a1e28d62243fdccee6dd9103e7be9204d18273cbcc52e00930a21c

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=sha256:3460231401f2799d8078326b8debc99b0ee2b7e3c6a5af2ac307408221efbcd1

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=sha256:68d759417adc7dbd1d66ac987c12840a50d5e214d8ee84c7be33ca755f178f9b

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:f05fdb1588319a4a78d9dc7609e610af3ec70d6755372488fa12977b4523fead

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=sha256:1b9351f194c487e26dce77b190a535e8a4f491ecb28266b410dcc4ac13dc9323

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=sha256:0fd4e57acb7cad24501e0f4d0192516b15801f2e8fa905113967779874b293df

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=sha256:62d6a52fb5136c875dd328f2065fcec90d7273adfb6d7b5597f9ff9cbee5a11a

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=sha256:0387a1e90dcfcda1988a63fa9c5e6ab80f73a96092a77ef85bf2f2cbb31a87bc

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=sha256:405b9c1950ce4bae7d50e432cb60f9258e7c91f22c57ed11ea0e942766197e04

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=sha256:8e6a8dd25ab1aaa24cec60b0dd077f54cec19e966b74512df24b810da30abd3a

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=sha256:5e66b73de8bb3d33b9fb34e72402b0f4efc4313d6f5024bd8044beede5612051

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=sha256:289d713ed9e38a31fc83229d98b2c3ec8cc0ca4396adc59bf14aec3d8b5731d2

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=sha256:4ba0686d81474038970e40489f5777077de3d3ac1b3617167beb719a9e9fb0be

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=sha256:932a700a4200eec4f510548e2f5b416b900f94ea1697acf6fa5abeae4e0fb8c7

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:f11a3dfaf9e97ca4d5975244731d94782f0800ec5311e035d60a06558327b757

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=sha256:972a3ea46aa48c2341dec3fb76ee7488483ae40abd7f01e91511ad44e76f7063

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