Pith. sign in

Paper Citation Record · LEDGER

Improved $L^p$ bounds for the strong spherical maximal operator

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2502.02795.

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

pith.paper-citation-record.v1
2502.02795 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T11:19:13.304784Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:03:36.516015Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-17T22:40:23.555863Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy12
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ddc06c4a-077e-49d7-be33-8226031d791d · outbound

This paper cites an unresolved cited work.

Improved $L^p$ bounds for the strong spherical maximal operator Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-09T11:19:13.695673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.220406Z digest=sha256:407dd89841ccf861fde3db54db74d2ead5f0d3b6d51169f78170b945701adae2

Observation ccecf0ce-237a-4409-8d29-5b21d5d460dd · outbound

This paper cites Bochnak, M.

Improved $L^p$ bounds for the strong spherical maximal operator Bochnak, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.687219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.225141Z digest=sha256:e06a9688a0ea7b7f067d77f4e8b89cfcbd46f5beac630c7a920e518e4f9629b7

Observation e8ea7576-c841-48cb-9920-ed23ac1c41f6 · outbound

This paper cites Edinburgh Math.

Improved $L^p$ bounds for the strong spherical maximal operator Edinburgh Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.678370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.228943Z digest=sha256:6b3e5dc5b52a1045819adaef6010426a63157584c10f629554c5a9af6f3ba841

Observation e4dad1bc-ff07-4bf0-a171-1c039c2e2920 · outbound

This paper cites an unresolved cited work.

Improved $L^p$ bounds for the strong spherical maximal operator Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-09T11:19:13.669620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.233057Z digest=sha256:9ec60997ddb9fe7c20bbd51b339c20dac6e130d19faa32a1c623508c52973997

Observation 44b86a16-a569-4e93-8879-0818620000c2 · outbound

This paper cites A multi-parameter cinematic curvature.

Improved $L^p$ bounds for the strong spherical maximal operator A multi-parameter cinematic curvature

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-09T11:19:13.237354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T11:19:13.237354Z digest=sha256:1cacb662c5ef28c2237d8d1ccb843470c325c88de9b7e6f5e2194dfb1cd7cbd7

Observation a6a5b054-19c2-48b5-8984-e902a361ab62 · outbound

This paper cites an unresolved cited work.

Improved $L^p$ bounds for the strong spherical maximal operator Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-09T11:19:13.661241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.241196Z digest=sha256:a3346fad251e9e6961443bf1184e4ece2beb957c85a4eec3d82cce412838080c

Observation 553ede42-ae79-4511-8269-f94dd16e104b · outbound

This paper cites Band 153, Springer-Verlag New York, Inc.

Improved $L^p$ bounds for the strong spherical maximal operator Band 153, Springer-Verlag New York, Inc

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.652121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.245065Z digest=sha256:b4e50d5102713fa8ca4208e8c7f67b9766a4730f94da602f1d5c25b72b772e3b

Observation 2641c76d-fabb-4508-8845-9e06933a2fc0 · outbound

This paper cites Spherical maximal estimates via geometry.

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.248910Z digest=sha256:e35814f6b6ddc07bea45d5e6d3862878484e83c856971a508bcd0ec046330f49

Observation 88b6f1b6-2560-4261-bf18-486da2db6262 · outbound

This paper cites Kurdyka, On a subanalytic stratification satisfying a Whitney proper ty with exponent 1 , Proc.

Improved $L^p$ bounds for the strong spherical maximal operator Kurdyka, On a subanalytic stratification satisfying a Whitney proper ty with exponent 1 , Proc

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.643245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.252760Z digest=sha256:7ba1a35ab7f080f3295470e70bb7ca0a81278c5a5257f26f49b2a3e5ecf0eb13

Observation 132907c3-8220-4b7a-a051-d836cd6979e6 · outbound

This paper cites $L^p$ bound on the strong spherical maximal function.

Improved $L^p$ bounds for the strong spherical maximal operator $L^p$ bound on the strong spherical maximal function

Reference 10

Resolution
metadata mismatch
local_arxiv, observed 2026-08-09T11:19:13.516302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.256758Z digest=sha256:e4c2c66680afad28331190bd6b7c04d7577ef42f059cee78c41f55ab9c502c1c

Observation a217a2f3-9222-4a35-8025-7b5a84498ea6 · outbound

This paper cites an unresolved cited work.

Improved $L^p$ bounds for the strong spherical maximal operator Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-09T11:19:13.634186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.261266Z digest=sha256:e97ef94f51ae3980359566169db65a76cf79436bad5ae6aa859d3700dac66592

Observation 038992d2-4946-4dad-8e3a-df723f1ce865 · outbound

This paper cites 150, Cambridge University Press, Cambri dge, 2015.

Improved $L^p$ bounds for the strong spherical maximal operator 150, Cambridge University Press, Cambri dge, 2015

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.624321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.265387Z digest=sha256:4b1b4961caeb0ca1ac297c4d3d9acd788bc93b7421397fe8c14c94537c310ee9

Observation 6653e737-6564-41d5-af4c-89126d786e71 · outbound

This paper cites Milnor, On the Betti numbers of real varieties , Proc.

Improved $L^p$ bounds for the strong spherical maximal operator Milnor, On the Betti numbers of real varieties , Proc

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.613240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.269423Z digest=sha256:9c2bb7fc67b969034d81ca6cbe29b6a210c4be337daf8c20cdb7dcf6166414fe

Observation 20d69b78-8cab-4328-84ab-be3364cb6c44 · outbound

This paper cites Pawlucki, Lipschitz cell decomposition in O-minimal structures I , Illinois J.

Improved $L^p$ bounds for the strong spherical maximal operator Pawlucki, Lipschitz cell decomposition in O-minimal structures I , Illinois J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.603711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.273446Z digest=sha256:acab5bb7778972da49901f5bcf200bdd6adc6fb2cc0e3cb443804feb79361ef0

Observation ffd0b117-e143-4bcd-b3f9-f8bbc8bd513f · outbound

This paper cites A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in $\mathbb{R}^3$.

Improved $L^p$ bounds for the strong spherical maximal operator A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in $\mathbb{R}^3$

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-09T11:19:13.277274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T11:19:13.277274Z digest=sha256:4a1d7b8f6858f7c8c5e72ece40e46c3bafa5b8bbf2202e16e7b8cfa4474ded84

Observation 6b2b54b2-7696-40a6-99a6-22c0990eb906 · outbound

This paper cites Ricci and E.

Improved $L^p$ bounds for the strong spherical maximal operator Ricci and E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.594784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.281455Z digest=sha256:24509dfc3e2059a079a0ce780b6ee659384c9729ba1f78a2a55d2b1663bd238a

Observation 376d3c88-1db9-4ba5-aecb-d09e2f6eedd4 · outbound

This paper cites Schlag, A generalization of Bourgain ’s circular maximal theorem , J.

Improved $L^p$ bounds for the strong spherical maximal operator Schlag, A generalization of Bourgain ’s circular maximal theorem , J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.585393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.285536Z digest=sha256:706b91a50b1cb374e1fbbe84e48f00065f0a0953af4467075b41d5857217cc11

Observation e7765d5f-8dec-44ba-b94b-f46b014eb63e · outbound

This paper cites Stein, Maximal functions.

Improved $L^p$ bounds for the strong spherical maximal operator Stein, Maximal functions

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.575997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.289518Z digest=sha256:48b30fdee6b71809855528617e29296a34c8706f932530210cb7df674fc6b390

Observation eb731a95-1412-44a6-84f4-8af187cae402 · outbound

This paper cites Thom, On the Betti numbers of real varieties , Proc.

Improved $L^p$ bounds for the strong spherical maximal operator Thom, On the Betti numbers of real varieties , Proc

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.566178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.293396Z digest=sha256:23f4f18cad5afebe715093a48926961c1f8102a880c7c7bba042acbbd5388005

Observation c361db1e-7fcf-4cbd-8186-2890f6720160 · outbound

This paper cites 248, Cambridge University Press, Cambridge, 1998.

Improved $L^p$ bounds for the strong spherical maximal operator 248, Cambridge University Press, Cambridge, 1998

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T11:19:13.556478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.297169Z digest=sha256:0f6df20301a43d0660247937e0def6f23604d6a962b88ad828ca6d724bdb5dfc

Observation e6bb4526-f5fb-45fd-8853-f4c8f11d8365 · outbound

This paper cites an unresolved cited work.

Improved $L^p$ bounds for the strong spherical maximal operator Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-09T11:19:13.546177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.300953Z digest=sha256:9856797e74ec5d3d82c71bb862cfa2594ec056d7ebfe1be3e1935a84ab2173c5

Observation a986d751-dfeb-4656-96ae-5213a7c7d41e · outbound

This paper cites School of Mathematics and Maxwell Institute for Mathematic al Sciences, James Clerk Maxwell Building, The King’s Buildings, Peter Guthri e Tait Road, Edinburgh, EH9 3FD, UK.

Improved $L^p$ bounds for the strong spherical maximal operator School of Mathematics and Maxwell Institute for Mathematic al Sciences, James Clerk Maxwell Building, The King’s Buildings, Peter Guthri e Tait Road, Edinburgh, EH9 3FD, UK

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-08-09T11:19:13.494753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T11:19:13.304784Z digest=sha256:a7698b5a26309c009a3aaefc997d23d59c8ee1abfe216bf6cc977242f52783e9

Pith citing papers

Observation 57346936-e1ba-4c51-b46e-ad9522884409 · inbound

Lacunary $\delta$-Discretised Spherical Maximal Operators cites this paper.

Lacunary $\delta$-Discretised Spherical Maximal Operators Improved $L^p$ bounds for the strong spherical maximal operator

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T18:03:36.516015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:03:36.516015Z digest=sha256:c73c1b95ce3160513bb0075d71e6be771cdd80d371a610b34bc3cdcb3793855c

Observation 011d22d6-fd30-4da7-bcf2-c9b6687ab9b1 · inbound

Problems on spherical maximal functions cites this paper.

Problems on spherical maximal functions Improved $L^p$ bounds for the strong spherical maximal operator

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:40:23.558297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-17T22:38:23.290037Z digest=sha256:b283980855be315b1e5e37d06804cf6b8742b3c540653e4e01b3abc5482725e6