Pith. sign in

Paper Citation Record · LEDGER

Small cap decouplings

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.09166.

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

pith.paper-citation-record.v1
1908.09166 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:26:42.790942Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a1dccde-80ff-4ce0-af6b-d46b41900d98 · outbound

This paper cites Bombieri and H.

Small cap decouplings Bombieri and H

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.149970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.692178Z digest=sha256:465e457f0117984d65e8687706b253afd48e6a43858a66db84d18d5c92458937

Observation d64a48b7-9b29-4f25-bc07-a74a26c90c17 · outbound

This paper cites Decoupling inequalities and some mean-value theorems , J.

Small cap decouplings Decoupling inequalities and some mean-value theorems , J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.135063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.697822Z digest=sha256:731d3b5aeb80e7862ae150e876ba11f6268661a70ad2a4b6602b5d39267269f8

Observation 5f46bc12-7c4d-4003-9393-c70ec8fa24d7 · outbound

This paper cites Decoupling, exponential sums and the Riemann zeta function J.

Small cap decouplings Decoupling, exponential sums and the Riemann zeta function J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.119114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.702730Z digest=sha256:75f6ae60a011ed4138beacd367796e96f97cd6aa8f6bb2c41e010e9ef3546eb5

Observation 153400a1-98ea-45dc-84b2-4e611128cba7 · outbound

This paper cites Moment inequalities for trigonometric polynomials with sp ectrum in curved hypersurfaces , Israel J.

Small cap decouplings Moment inequalities for trigonometric polynomials with sp ectrum in curved hypersurfaces , Israel J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.103477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.707660Z digest=sha256:97edbc3bf8c87d3f39a9ce440a3433c78887b9fbde0be12c615a57fabcb6aa8e

Observation 124cff20-fbe9-42e4-bf90-a719fe245759 · outbound

This paper cites and Demeter, C.

Small cap decouplings and Demeter, C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.088349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.712523Z digest=sha256:65a2f205dfe1908a0d246639dc043ea301ccd1ef1e13220cb8e1c6d7cfd5b844

Observation 78f889f9-916c-4335-9332-03341c417bfc · outbound

This paper cites and Demeter, C.

Small cap decouplings and Demeter, C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.073536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.717650Z digest=sha256:e671d9d87e70f97cd1c5403b4ab332d1bda7c1d4d3d3afec2fcf6fb15819e69c

Observation 2c03cf5a-8324-43c3-a136-054ca664cbf4 · outbound

This paper cites and Demeter, C.

Small cap decouplings and Demeter, C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.058233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.722992Z digest=sha256:7730991c20f4ba4339b21822aa74fd36ec7f2f49e5912afc3cee7f8ec5c0738f

Observation ade9c2b0-ffb4-41b0-bb1a-a9ab3f4dc51d · outbound

This paper cites and Guth, L.

Small cap decouplings and Guth, L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.042695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.727697Z digest=sha256:989a283ce695e0173c2e8cf6bd74d83893fe3b4f2bc1a5f3e0246266c3e40091

Observation 58d11afb-14d6-4073-b9cd-4e2caa4ab7c5 · outbound

This paper cites and Kemp, D.

Small cap decouplings and Kemp, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.027200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.732258Z digest=sha256:086569cdf9d684a1bf309d6aaa2252255323e164de3cb35e21addb7ba924b177

Observation 2f736f94-bc1d-4de1-ab83-c0e932e4b258 · outbound

This paper cites and Guth, L.

Small cap decouplings and Guth, L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:43.010405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.736989Z digest=sha256:d7ee07f9de6591877935415a94a9d8eb79bbcbc28488917efba1499a82166cfd

Observation a360b369-3671-49ef-b062-ef5951c1d28b · outbound

This paper cites and Watt, N.

Small cap decouplings and Watt, N

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:42.993585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.741760Z digest=sha256:4f4b3848a2752168492eba446db4409aac20ac00dff1c31811a7a644daa1196e

Observation 56b25701-9374-41d9-b71e-e53e0bd132d9 · outbound

This paper cites and Watt, N.

Small cap decouplings and Watt, N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:42.976373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.746522Z digest=sha256:1ec9a134e2d8702cbaf97cdd40fc25a769a4c8ce83c58611578c94eb118abc98

Observation 4d1a1a94-c0a5-4098-b402-b8e7ec13d0e1 · outbound

This paper cites Fourier restriction, decoupling and applications , Cambridge University Press, 2020.

Small cap decouplings Fourier restriction, decoupling and applications , Cambridge University Press, 2020

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:42.959341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.751389Z digest=sha256:34ec50c5397d8f522838348aee6f66b6404d24701f52e78aa613da42fdf1dd3e

Observation d7671e85-63ca-4ee2-86a3-6a51fc4e7cf0 · outbound

This paper cites an unresolved cited work.

Small cap decouplings Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:42.940996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.756120Z digest=sha256:041feba51bc86f49aa952f4aecc488ab205d05ce9b4fdf258e31dacade1e44fd

Observation 3087fb18-ea70-40ad-a3e6-9b04298c9cda · outbound

This paper cites and Wang, H.

Small cap decouplings and Wang, H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:42.925121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.760906Z digest=sha256:e703296a8c1c8f03fcd80b781dfd2bad707012971af8ffe1e2598ae701a77b4b

Observation 96667f96-5755-470a-b646-902139c37c7c · outbound

This paper cites and Zhang, R.

Small cap decouplings and Zhang, R

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:42.909209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.765880Z digest=sha256:3e221e9757b0e64b31837aff57dc86a45d6e627317aa8332296f77f47be612ce

Observation a7bb45f1-eec4-409c-af87-1731412319e8 · outbound

This paper cites an unresolved cited work.

Small cap decouplings Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:42.892441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.770745Z digest=sha256:1a12d69d14f85979926905ab24876a840fd33afe416a0d0b6df10d305c56d830

Observation 586566ad-3bee-432b-bb21-9fc059f5ad9a · outbound

This paper cites an unresolved cited work.

Small cap decouplings Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:42.876089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.775827Z digest=sha256:30013cc07154801cc14e4832ef2c80ef118cb48f0fc962e403ddd6b7639b5169

Observation 6ce5e125-5e20-4a8c-a64c-a68b68ac2739 · outbound

This paper cites C., The theory of the Riemann zeta-function , Second edition, (Clarendon Press, Oxford University Press, New York, 1986).

Small cap decouplings C., The theory of the Riemann zeta-function , Second edition, (Clarendon Press, Oxford University Press, New York, 1986)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:42.860299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.780907Z digest=sha256:81cdc375cec61140be32d412ebf017777fd200ec545cdb6f41c2dcba2e37b45c

Observation b09991a9-0c03-40c2-a35e-10b5bdbb3bf9 · outbound

This paper cites D., The cubic case of the main conjecture in Vinogradov’s mean va lue theorem, Adv.

Small cap decouplings D., The cubic case of the main conjecture in Vinogradov’s mean va lue theorem, Adv

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:42.844236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.785690Z digest=sha256:538703bd7562797fccc6ccb9e649ad0187855ed7f2cc45246526f7acb566242e

Observation 285d95bf-90f1-4f87-ab3a-0a34b9b0828d · outbound

This paper cites D., Rational solutions of pairs of diagonal equations, one cubi c and one quadratic Proc.

Small cap decouplings D., Rational solutions of pairs of diagonal equations, one cubi c and one quadratic Proc

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:42.828309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:26:42.790942Z digest=sha256:37984f508ad320457888c1011bb2308d77f0fbe370227303feecd3547b0d19b4

Pith citing papers

No inbound Pith citation observations are available.