Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:24:03.267056Z
Paper Citation Record · LEDGER
Spherical maximal estimates via geometry
As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2412.13315.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-09T11:19:13.248910Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-09T11:19:13.525743Z
Reference resolution
20 of 20 outbound references displayed
- verified exact0
- verified fuzzy6
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e8ab84ec-cdb1-415c-8879-f91d3d01ebfe · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:24:03.659164Z
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.
Observation 09f6335d-8d86-4614-b89d-b8a20cedbfe5 · outbound
This paper cites Bourgain, Averages in the plane over convex curves and maximal operators , J.
Spherical maximal estimates via geometry Bourgain, Averages in the plane over convex curves and maximal operators , J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:24:03.650085Z
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.
Observation 4158dcc0-c4e9-42a3-909d-0b04f2f6a0e9 · outbound
This paper cites Edinburgh Math.
Spherical maximal estimates via geometry Edinburgh Math
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:24:03.212094Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b97c912-ff99-4441-b11a-3cf63316fd88 · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:24:03.632904Z
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.
Observation a7ec8346-6efc-4d5b-aca0-d3680d907936 · outbound
This paper cites A multi-parameter cinematic curvature.
Spherical maximal estimates via geometry A multi-parameter cinematic curvature
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:24:03.218787Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0afe244-2f4d-477e-8951-fe46a911a741 · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:24:03.623278Z
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.
Observation a021d317-beec-48bc-8826-99c852be486c · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:24:03.613147Z
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.
Observation afbbfea3-5c3b-4b20-b256-74c9be08705d · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:24:03.604084Z
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.
Observation 5f848127-a5d5-4bc4-af77-239c66d9abdd · outbound
This paper cites K¨ ovari, V.
Spherical maximal estimates via geometry K¨ ovari, V
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:24:03.594669Z
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.
Observation c517935c-36b5-45bf-8f87-b3365440ac0a · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:24:03.584095Z
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.
Observation 240d9709-aeb8-4ea5-bfa5-c558245e3412 · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:24:03.573956Z
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.
Observation 5cd7f688-8c8f-4595-acdf-29f219b5e84d · outbound
This paper cites 150, Cambridge University Press, Cambridge, 2015.
Spherical maximal estimates via geometry 150, Cambridge University Press, Cambridge, 2015
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:24:03.564191Z
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.
Observation 03f16f3b-8827-4e1f-b8e9-c162ebf70c94 · outbound
This paper cites Sogge, Wave front sets, local smoothing and Bourgain ’s circular maximal theorem , Ann.
Spherical maximal estimates via geometry Sogge, Wave front sets, local smoothing and Bourgain ’s circular maximal theorem , Ann
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:24:03.554001Z
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.
Observation c8cf97a2-9c0b-4db0-8d71-ce643f5eb097 · outbound
This paper cites Rubio de Francia, Maximal functions and Fourier transforms , Duke Math.
Spherical maximal estimates via geometry Rubio de Francia, Maximal functions and Fourier transforms , Duke Math
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:24:03.543168Z
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.
Observation f8a92fb6-fe9e-4b23-8059-4adbad37df77 · outbound
This paper cites Schlag, A generalization of Bourgain ’s circular maximal theorem , J.
Spherical maximal estimates via geometry Schlag, A generalization of Bourgain ’s circular maximal theorem , J
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:24:03.253961Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80f81cc7-ae53-4e52-a91c-81b1a830105a · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:24:03.525975Z
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.
Observation e63a159a-92bd-420b-8539-f1d59ef95974 · outbound
This paper cites Stein, Maximal functions.
Spherical maximal estimates via geometry Stein, Maximal functions
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:24:03.259358Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5b4135b-45ad-4bee-a378-8e73553b5a1d · outbound
This paper cites Wolff, Local smoothing type estimates on Lp for large p, Geom.
Spherical maximal estimates via geometry Wolff, Local smoothing type estimates on Lp for large p, Geom
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:24:03.509546Z
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.
Observation 874262e5-c86a-474d-98b0-b3058021ef5e · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T13:24:03.498905Z
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.
Observation 98e9916e-db8f-4f46-962f-e80439654550 · outbound
This paper cites an unresolved cited work.
Spherical maximal estimates via geometry Unresolved cited work
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:24:03.267056Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 2641c76d-fabb-4508-8845-9e06933a2fc0 · inbound
Improved $L^p$ bounds for the strong spherical maximal operator cites this paper.
Improved $L^p$ bounds for the strong spherical maximal operator Spherical maximal estimates via geometry
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T11:19:13.529014Z
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.