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Paper Citation Record · LEDGER

Lacunary elliptic maximal operator on the Heisenberg group

As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2501.11928.

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

pith.paper-citation-record.v1
2501.11928 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:07:09.264878Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 73c0291d-1034-4a9f-af62-7795d5d31517 · outbound

This paper cites 159, Birkh¨ auser Boston, 1998, xiv+192 pp.

Lacunary elliptic maximal operator on the Heisenberg group 159, Birkh¨ auser Boston, 1998, xiv+192 pp

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:07:09.815318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.001912Z digest=sha256:f625a8b36c1f3127301cdcddec7b64a0e991fa6a3e098ca44836376e7e464c53

Observation 2f04009a-ec54-4296-9b67-03ba9539edd6 · outbound

This paper cites Annulus Maximal Averages on Variable Hyperplanes.

Lacunary elliptic maximal operator on the Heisenberg group Annulus Maximal Averages on Variable Hyperplanes

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T18:07:09.008817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:07:09.008817Z digest=sha256:380bb193be95ef633613a22c8b506935dfc787a1f19fc9008ba6f3100835a45b

Observation 0e82c822-7c4d-4ce8-b144-ecfd49248b8f · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.798230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.014198Z digest=sha256:c76f495d1da7d1405fbf5ef9226c592159f2d12de01a96aaadb76c51912fd00d

Observation 009c5de4-280e-4198-a29f-f3385332c672 · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.779187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.019606Z digest=sha256:ab37cc8a6486a7f71206304bfe0a7b1e55fd0de7f3978e8f574ee8aad34e8e31

Observation 72fcf109-0266-41de-b31f-a4c59b34e9f0 · outbound

This paper cites and Cladek, Laura and Pramanik, Malabi ka and Seeger, Andreas , Spherical means on the Heisenberg group: stability of a maximal functi on estimate , J.

Lacunary elliptic maximal operator on the Heisenberg group and Cladek, Laura and Pramanik, Malabi ka and Seeger, Andreas , Spherical means on the Heisenberg group: stability of a maximal functi on estimate , J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:07:09.759370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.150527Z digest=sha256:c501f12274ddd0dd770f69152d6a2a81aa29851a399a0d7de6da0ca0b808ea4d

Observation a466de67-f604-4a4b-8518-74f01e973269 · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.731949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.158870Z digest=sha256:e9f8a94bdfe496aa8aaa9b256e13c82915da1846d5c07fe4f6d1156711df4a44

Observation 80a2ba01-af3f-4fba-a8bc-9ae110c11af1 · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.711952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.166473Z digest=sha256:0836650f40f676e81c3d4b9353be9d3eb5d7463dca82600656972387ee4c8415

Observation 47ef61fe-4da3-4603-b14d-d4b6729f17e7 · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.688568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.174956Z digest=sha256:914d8ce17345a24b7a32df706b8c3c817c05a2c0004f12911f794a05459dcd00

Observation 971cf913-b256-4362-a449-8f163521d50a · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.668014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.180094Z digest=sha256:ec07ed590fc5975084e4c655db17292fc097ea4be4cf50fb7d2ff0270b94faf3

Observation 382897de-6e69-4b93-a2e5-a8444629cebb · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.639454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.184976Z digest=sha256:53a7a74ba336841412344766162ae18acd4c90ba6b8f28a3e911663481708caf

Observation 3e02194c-27de-4470-81e3-b195b9d2b0fb · outbound

This paper cites , Lacunary spherical means , Illinois J.

Lacunary elliptic maximal operator on the Heisenberg group , Lacunary spherical means , Illinois J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:07:09.621345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.190851Z digest=sha256:f4d2bc3b30bf0831b9bf464acc4efe1d65b4f359c5ab8fa406c4553f98db2317

Observation b2f8d749-0959-4249-ac9d-8cdba53361b1 · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.599911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.196023Z digest=sha256:e5b259e0ee7bd7092efccba16bc241a6ba6a619ddd5bc2cfd2927f0d0277e5b1

Observation b82aad20-738f-4eb5-9cf1-b6532bb13f44 · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.577188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.202096Z digest=sha256:22051f38a6c9e285eb314c2ecac2c26e2a5c3154e7314838df52a2e74ff8baf0

Observation 19c50484-9f31-42a5-9813-42555a43f1d0 · outbound

This paper cites , Multiparameter singular integrals and maximal functions , Ann.

Lacunary elliptic maximal operator on the Heisenberg group , Multiparameter singular integrals and maximal functions , Ann

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:07:09.550421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.207673Z digest=sha256:e94244cd03480bf3a4a4ad481dab665fea587cc1df36990fdc30043d368925c9

Observation 3b70c70c-bcb0-4e21-8302-26115c7cf550 · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.527240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.212772Z digest=sha256:8ddc59e011d2b46615acaa3dad333d2e5d91a60814143c6750a896f518aa87b5

Observation c2bc56eb-c665-431c-80c1-41f3c2588eee · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.509684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.219149Z digest=sha256:0bceeb81878bc43c6259f7bac512a8d3ac68d45236af48af66c155df7d93a00b

Observation 49053143-864c-45cd-961a-d07346db3f7b · outbound

This paper cites Analyse Math.

Lacunary elliptic maximal operator on the Heisenberg group Analyse Math

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:07:09.491266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.224393Z digest=sha256:f83a3fbe84caca08a4407193f6279975a1f1edbe5238b7d48652f595206aeda6

Observation e6b0f5d4-909d-4937-9aeb-ef1a6309b50c · outbound

This paper cites and W ainger, Stephen , Differentiation in lacunary directions , Proc.

Lacunary elliptic maximal operator on the Heisenberg group and W ainger, Stephen , Differentiation in lacunary directions , Proc

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:07:09.470140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.230429Z digest=sha256:9b80396b23fe03fff22b846f321a185bef21cbb248f94ecb5bc46e3d9309eff5

Observation 502724f5-f924-4097-a588-d43ecb85b266 · outbound

This paper cites , Harmonic analysis: real-variable methods, orthogonality , and oscillatory integrals , Princeton Mathematical Series, vol.

Lacunary elliptic maximal operator on the Heisenberg group , Harmonic analysis: real-variable methods, orthogonality , and oscillatory integrals , Princeton Mathematical Series, vol

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:07:09.439393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.237566Z digest=sha256:4b1937693727135e1eaac8b3e958a5a3188e39ef509b64cfc519c3a46b11a550

Observation 434b676b-7555-4a3a-b586-a6920136bc8f · outbound

This paper cites First commutator and generalizations, Rev.

Lacunary elliptic maximal operator on the Heisenberg group First commutator and generalizations, Rev

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:07:09.413018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.243973Z digest=sha256:980462399b9edfba27ad73abaa53edbd13445c2dd4c012a0e51ef9ac20673f10

Observation cf15b979-6659-4288-aa02-3f3f93d566a8 · outbound

This paper cites London Math.

Lacunary elliptic maximal operator on the Heisenberg group London Math

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:07:09.381364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.252161Z digest=sha256:7c005e9401f332574e19610419d102b2826380be36e3dfd133f72b4cfcd70b42

Observation ced58b36-0967-4c9f-88ea-3bea5dd1df02 · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.357264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.258244Z digest=sha256:fbe33fb8cca12bf5db66b6f12964196f7585e38c8d063676a3874d0fd69c44f8

Observation b9d1d15b-3887-420b-97b1-d0ce2ab126ef · outbound

This paper cites an unresolved cited work.

Lacunary elliptic maximal operator on the Heisenberg group Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:07:09.337178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T18:07:09.264878Z digest=sha256:14f8b30b6dc61bec312cc3e2c3c18a088b67fd4f9b21c4cc2ef145ce661cd7b7

Pith citing papers

No inbound Pith citation observations are available.