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Paper Citation Record · LEDGER

On differentiation of integrals in Lebesgue spaces

As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2505.05425.

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

pith.paper-citation-record.v1
2505.05425 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:17:29.327391Z

measured 26 of 26 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 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

26 of 26 outbound references displayed

  • verified exact3
  • verified fuzzy21
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f49cf2f4-150d-46ed-b354-b066e7e6ccda · outbound

This paper cites Bateman, Kakeya sets and directional maximal operators in the plane, Duke Math.

On differentiation of integrals in Lebesgue spaces Bateman, Kakeya sets and directional maximal operators in the plane, Duke Math

Reference 1

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verified fuzzy
raw_fallback, observed 2026-08-15T23:17:29.765902Z

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=arxiv_source observed=2026-08-15T23:17:29.202361Z digest=sha256:1befc28ca46565174a46f0b6fe2fe537a868aee74afff5670f7e85b1b36277a4

Observation 0174896b-26d9-4bea-9060-94ca23e10ef9 · outbound

This paper cites C\'ordoba, On the Vitali covering properties of a differentiation basis, Studia Math.

On differentiation of integrals in Lebesgue spaces C\'ordoba, On the Vitali covering properties of a differentiation basis, Studia Math

Reference 2

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raw_fallback, observed 2026-08-15T23:17:29.751013Z

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=arxiv_source observed=2026-08-15T23:17:29.207819Z digest=sha256:6d1445647c1d06d362c8a42e19fdc88c1cd610539f7ebd823c07133f7f9a1279

Observation 0f878fbc-08c2-4b53-a2ff-bd6ccf594d85 · outbound

This paper cites C\'ordoba, R.

On differentiation of integrals in Lebesgue spaces C\'ordoba, R

Reference 3

Resolution
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raw_fallback, observed 2026-08-15T23:17:29.736153Z

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=arxiv_source observed=2026-08-15T23:17:29.212634Z digest=sha256:eb95105b239196f80a9eb75f87ecf0f31a8a8b782c40e090eaf587a1cadf763c

Observation bb7b7904-a4d4-44fb-bc64-d8761b92bc85 · outbound

This paper cites de Guzm \'a n, Differentiation of integrals in R ^n.

On differentiation of integrals in Lebesgue spaces de Guzm \'a n, Differentiation of integrals in R ^n

Reference 4

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raw_fallback, observed 2026-08-15T23:17:29.721768Z

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=arxiv_source observed=2026-08-15T23:17:29.217843Z digest=sha256:4861c8ef5ed689a545744ae8fc2100f4a3818712435b8434ab50da2a1b9cd986

Observation 686033d4-4da8-422f-9c74-bf8ae6f89ff5 · outbound

This paper cites de Possel, Sur la derivation abstraite des fonctions d'ensemble, J.

On differentiation of integrals in Lebesgue spaces de Possel, Sur la derivation abstraite des fonctions d'ensemble, J

Reference 5

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raw_fallback, observed 2026-08-15T23:17:29.706841Z

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=arxiv_source observed=2026-08-15T23:17:29.223130Z digest=sha256:0b4fed415167131d54f6780f3037481fac0c899b018ca337df39cd4595e7f931

Observation 8deed844-9ca3-445c-b751-a0f132add49f · outbound

This paper cites Fava, Weak type inequalities for product operators, Studia Math.

On differentiation of integrals in Lebesgue spaces Fava, Weak type inequalities for product operators, Studia Math

Reference 6

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raw_fallback, observed 2026-08-15T23:17:29.690693Z

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=arxiv_source observed=2026-08-15T23:17:29.228068Z digest=sha256:f3630b6b3e6ccd226a3f88947b08094f98ab448db4d8d085bd734fb6124ecce5

Observation de1b9846-e624-40ee-8595-7e98c2c6552c · outbound

This paper cites Fern \'a ndez, An \'a lisis de Fourier en el toro infinito-dimensional , Ph.D.

On differentiation of integrals in Lebesgue spaces Fern \'a ndez, An \'a lisis de Fourier en el toro infinito-dimensional , Ph.D

Reference 7

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raw_fallback, observed 2026-08-15T23:17:29.675807Z

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=arxiv_source observed=2026-08-15T23:17:29.233476Z digest=sha256:a50d374dc3681c93273fe3b65d620d394b36e69f0a45dd394244bf721cbb2ff9

Observation da4086f8-4a34-4e81-b3bb-da1cffd705af · outbound

This paper cites Fern \'a ndez, L.

On differentiation of integrals in Lebesgue spaces Fern \'a ndez, L

Reference 8

Resolution
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raw_fallback, observed 2026-08-15T23:17:29.660061Z

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=arxiv_source observed=2026-08-15T23:17:29.238110Z digest=sha256:54722a8668ba18ecb47e3294dde4f36b1b698a844f3ab90a8f7391c9e4ae1b67

Observation a2a28ea4-898f-4bf8-81e5-de5268819d1a · outbound

This paper cites Folland, Real Analysis: Modern Techniques and Their Applications, Wiley, New York, 1999.

On differentiation of integrals in Lebesgue spaces Folland, Real Analysis: Modern Techniques and Their Applications, Wiley, New York, 1999

Reference 9

Resolution
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raw_fallback, observed 2026-08-15T23:17:29.645009Z

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=arxiv_source observed=2026-08-15T23:17:29.242626Z digest=sha256:689ee73bf134ec8ec09cd1554d347e5a467967ba64405af6533ddae89dda1384

Observation 96fdf6aa-ce0a-4069-9147-f2a98632eed0 · outbound

This paper cites Hagelstein, Differentiation of integrals: a contemporary overview, Pure Appl.

On differentiation of integrals in Lebesgue spaces Hagelstein, Differentiation of integrals: a contemporary overview, Pure Appl

Reference 10

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raw_fallback, observed 2026-08-15T23:17:29.630327Z

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=arxiv_source observed=2026-08-15T23:17:29.247372Z digest=sha256:84da542d507979c703e9ce3584c26cadf7efceadd3492c2ec51bdf14042125a0

Observation d958e2e4-9e42-41b0-b925-3f99c7566327 · outbound

This paper cites Hagelstein, Current perspectives on the Halo Conjecture, Adv.

On differentiation of integrals in Lebesgue spaces Hagelstein, Current perspectives on the Halo Conjecture, Adv

Reference 11

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doi, observed 2026-08-15T23:17:29.365810Z

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=arxiv_source observed=2026-08-15T23:17:29.252897Z digest=sha256:b56d4119fc2f85213c811fcee88024f3e57b5b95296bc830e72d1bd94a1a9735

Observation 3eb8d68d-3146-4bca-8dc0-1f3903c038cb · outbound

This paper cites Probabilistic Construction of Kakeya-Type Sets in $\mathbb{R}^2$ associated to separated sets of directions.

On differentiation of integrals in Lebesgue spaces Probabilistic Construction of Kakeya-Type Sets in $\mathbb{R}^2$ associated to separated sets of directions

Reference 12

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local_arxiv, observed 2026-08-15T23:17:29.411201Z

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=arxiv_source observed=2026-08-15T23:17:29.257861Z digest=sha256:c771b9b5abb8813c1c512954fb00adb2665028f7d9fa0efd3f8a5d16665ec48f

Observation 1cc16de3-3b77-456e-9cbb-c5541d578615 · outbound

This paper cites Remarks on the construction of $K_\sigma$ sets associated to trees not satisfying a separation condition.

On differentiation of integrals in Lebesgue spaces Remarks on the construction of $K_\sigma$ sets associated to trees not satisfying a separation condition

Reference 13

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local_arxiv, observed 2026-08-15T23:17:29.389479Z

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

source=arxiv_source observed=2026-08-15T23:17:29.263464Z digest=sha256:280b0711f9c6cb514532866ac62c4c9136edb0e65b602984ad8984823144b502

Observation 647540d8-814e-4616-8060-d2898590e4e5 · outbound

This paper cites Hagelstein, A.M.

On differentiation of integrals in Lebesgue spaces Hagelstein, A.M

Reference 14

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raw_fallback, observed 2026-08-15T23:17:29.615223Z

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=arxiv_source observed=2026-08-15T23:17:29.269087Z digest=sha256:ec29126903866c84375dab4d0bb4296a01c22cae2676a1d1465e5e5807ac06cc

Observation 8b8e29bf-4200-478c-8813-78c6daae7a41 · outbound

This paper cites Hagelstein, A.M.

On differentiation of integrals in Lebesgue spaces Hagelstein, A.M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:17:29.600346Z

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=arxiv_source observed=2026-08-15T23:17:29.273815Z digest=sha256:4e37ddb372141e7c178d99bfe0b859a9a961153e5537c7b66aaac13eff258100

Observation df13126e-6217-424d-90f2-9cb4717e33b8 · outbound

This paper cites Hayes, Differentiation with respect to -pseudo-strong blankets and related problems, Proc.

On differentiation of integrals in Lebesgue spaces Hayes, Differentiation with respect to -pseudo-strong blankets and related problems, Proc

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:17:29.585577Z

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=arxiv_source observed=2026-08-15T23:17:29.278880Z digest=sha256:0923bf54e47d84c6a958538e40009ff76297ac7235ac68c23009ca48812679d4

Observation 09d59f3c-640b-4ea6-bc30-f11d73520116 · outbound

This paper cites Hayes, Differentiation of some classes of set functions, Math.

On differentiation of integrals in Lebesgue spaces Hayes, Differentiation of some classes of set functions, Math

Reference 17

Resolution
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raw_fallback, observed 2026-08-15T23:17:29.568973Z

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=arxiv_source observed=2026-08-15T23:17:29.283652Z digest=sha256:8f96693b9e2b6c00db3b9728bf0135aa01fc45ce6ec826392824acaab5707297

Observation f5a09dbd-b7b9-41a6-a27a-78fe28b601b8 · outbound

This paper cites Hayes, A sufficient condition for the differentiation of certain classes of set functions, Math.

On differentiation of integrals in Lebesgue spaces Hayes, A sufficient condition for the differentiation of certain classes of set functions, Math

Reference 18

Resolution
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raw_fallback, observed 2026-08-15T23:17:29.552348Z

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=arxiv_source observed=2026-08-15T23:17:29.288381Z digest=sha256:6653ffce1006266d3a1ba0fdec315e503ed80472dc8c071e870a4da7f2e7f328

Observation 43119988-c6cd-4f9d-a74d-336e66b8bc9d · outbound

This paper cites Hayes, Derivation of the integrals of L (q) -functions , Pacific J.

On differentiation of integrals in Lebesgue spaces Hayes, Derivation of the integrals of L (q) -functions , Pacific J

Reference 19

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raw_fallback, observed 2026-08-15T23:17:29.536519Z

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=arxiv_source observed=2026-08-15T23:17:29.293334Z digest=sha256:b70a11e44ef836b58b40385b6f62aee08b55ef72e4da581d2d9be9b30caed7e0

Observation 00a7e9e8-27c5-4de5-96e6-d5474b62e358 · outbound

This paper cites Hayes, Necessary and sufficient conditions for the derivation of integrals of L -functions , Trans.

On differentiation of integrals in Lebesgue spaces Hayes, Necessary and sufficient conditions for the derivation of integrals of L -functions , Trans

Reference 20

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raw_fallback, observed 2026-08-15T23:17:29.521448Z

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=arxiv_source observed=2026-08-15T23:17:29.297984Z digest=sha256:2a98115e6b1f52f958b0862782ba728e97a9e3b90f8d22a6c4848831685cd911

Observation a7a5c8dd-73e3-4f7c-885f-62561d42425b · outbound

This paper cites Hayes, C.Y.

On differentiation of integrals in Lebesgue spaces Hayes, C.Y

Reference 21

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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=arxiv_source observed=2026-08-15T23:17:29.302902Z digest=sha256:0a3773bcfc0efc16fd2ff31af24d7537eb9e331ec3478dbb6aaf01aea2d262aa

Observation 8729da4b-30f9-4f6c-a650-2c437950ef92 · outbound

This paper cites Jessen, J.

On differentiation of integrals in Lebesgue spaces Jessen, J

Reference 22

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raw_fallback, observed 2026-08-15T23:17:29.490105Z

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=arxiv_source observed=2026-08-15T23:17:29.307598Z digest=sha256:3712b6111e4bade56a9dbb2e345a6884f9d85c0cd1e6f471a59e3ce3b2c33289

Observation ddb0d53e-7487-441f-b553-9bde4dd22702 · outbound

This paper cites Kosz, On differentiation of integrals in the infinite-dimensional torus, Studia Math.

On differentiation of integrals in Lebesgue spaces Kosz, On differentiation of integrals in the infinite-dimensional torus, Studia Math

Reference 23

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raw_fallback, observed 2026-08-15T23:17:29.475243Z

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=arxiv_source observed=2026-08-15T23:17:29.312231Z digest=sha256:dfc44dec78119bd520fbf94a39543bb2794a89f3a723634f96c095bfebefb857

Observation 6f60a8c0-b43d-4d25-bd77-243d24e477fa · outbound

This paper cites an unresolved cited work.

On differentiation of integrals in Lebesgue spaces Unresolved cited work

Reference 24

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raw_fallback, observed 2026-08-15T23:17:29.459249Z

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=arxiv_source observed=2026-08-15T23:17:29.317160Z digest=sha256:b98ff587369532644e1335f9e48c2010f5037e9497f95aef931c5ea4711a6f03

Observation dd5fe5bf-8b21-4986-93a5-0a99f4da89bc · outbound

This paper cites an unresolved cited work.

On differentiation of integrals in Lebesgue spaces Unresolved cited work

Reference 25

Resolution
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raw_fallback, observed 2026-08-15T23:17:29.442971Z

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=arxiv_source observed=2026-08-15T23:17:29.322641Z digest=sha256:7e3901848ba4ef3cbfab3f31d56748078a9f833db0ef8ec543062a1360d5ebb3

Observation 8163a1ed-c6cf-412a-8cc5-a02d62dae5ea · outbound

This paper cites Rubio de Francia, Nets of subgroups in locally compact groups, Comment.

On differentiation of integrals in Lebesgue spaces Rubio de Francia, Nets of subgroups in locally compact groups, Comment

Reference 26

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raw_fallback, observed 2026-08-15T23:17:29.427460Z

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=arxiv_source observed=2026-08-15T23:17:29.327391Z digest=sha256:fc10e8f3414bd561fae44d2e5694f88029dbea768fc3228debf28a13208f6b06

Pith citing papers

No inbound Pith citation observations are available.