Paper Citation Record · LEDGER

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group

As of 9 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.26906.

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

pith.paper-citation-record.v1
2607.26906 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T17:32:18.712186Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

28 of 28 outbound references displayed

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verified fuzzy0
unresolved28
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External citation measurements

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Outbound references

Observation bdd59d01-cb0a-48a1-97ed-ee598ed930ba · outbound

This paper cites A one-dimensional planar Besicovitch-type set.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group A one-dimensional planar Besicovitch-type set

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:16.451420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8178aff-38ec-4cef-9908-259189fff5c9 · outbound

This paper cites Barilari, U.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Barilari, U

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:16.579263Z

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Unavailable: canonical work link unavailable.

Observation 55b0a59e-f57f-4409-8f50-f0f66ca78ae8 · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:16.686525Z

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Observation c9eba4cd-8749-455c-963c-f6fa1293d966 · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:16.763262Z

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Observation 51c0f9d4-a871-4d86-b323-179fd8ee16cf · outbound

This paper cites Bonfiglioli, E.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Bonfiglioli, E

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:16.876869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e148460f-e649-4397-899a-67015786ccd2 · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.047513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30c47417-491e-4c0f-bd15-5dc32494418a · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.206671Z

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Unavailable: canonical work link unavailable.

Observation 8f0b6e2f-456f-4796-92b1-6df5d8a1c552 · outbound

This paper cites Fässler and T.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Fässler and T

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.318325Z

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Observation 62f6d4ee-57b1-4e45-9b4b-e238d03d697b · outbound

This paper cites Fässler, A.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Fässler, A

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.415809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47b3e331-29a7-4389-aa4d-63f6233d643c · outbound

This paper cites Fischer and M.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Fischer and M

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.512198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd6d0d99-758b-4252-aa54-403eeaa2a951 · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.640684Z

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Unavailable: canonical work link unavailable.

Observation f3c70d86-f01d-49c4-a9bc-c6fa6681e574 · outbound

This paper cites Gaveau, Principe de moindre action et propagation de la chaleur pour le groupe d’Heisenberg,C.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Gaveau, Principe de moindre action et propagation de la chaleur pour le groupe d’Heisenberg,C

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.742815Z

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Observation 5832338a-4138-47ab-9133-c78649088741 · outbound

This paper cites Gaveau, Principe de moindre action, propagation de la chaleur et estimées sous-elliptiques sur certains groupes nilpotents,Acta Math.139(1977), 95–153.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Gaveau, Principe de moindre action, propagation de la chaleur et estimées sous-elliptiques sur certains groupes nilpotents,Acta Math.139(1977), 95–153

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.850510Z

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Unavailable: canonical work link unavailable.

Observation 6b6de212-9c2b-443e-97b2-5e554b83dbf2 · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.923311Z

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Unavailable: canonical work link unavailable.

Observation 12ecf4a3-1141-48d6-9703-bf0a5cae2a67 · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:17.970021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f3bdfb5-9170-4945-a150-9a8205f29d3e · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.021465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed61fb18-c46a-47db-b71a-f7e285f01a55 · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.076909Z

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Unavailable: canonical work link unavailable.

Observation ba7e5273-2661-4b8f-871a-d08990e942e6 · outbound

This paper cites Le Donne,Lecture Notes on Sub-Riemannian Geometry: Carnot–Carathéodory Spaces from the Lie Group Viewpoint, lecture notes, 2023.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Le Donne,Lecture Notes on Sub-Riemannian Geometry: Carnot–Carathéodory Spaces from the Lie Group Viewpoint, lecture notes, 2023

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.144086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 192905a5-cc73-4b40-902f-850dadacd5c4 · outbound

This paper cites Liu, On the dimension of Kakeya sets in the first Heisenberg group,Proc.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Liu, On the dimension of Kakeya sets in the first Heisenberg group,Proc

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.200343Z

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Unavailable: canonical work link unavailable.

Observation 2576f7ac-4214-40b2-a08f-38055a9e7518 · outbound

This paper cites Lukyanenko,Research Questions,https://lukyanenko.net/questions.php.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Lukyanenko,Research Questions,https://lukyanenko.net/questions.php

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.261932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14b5bf34-fac2-4fe5-ab9e-f12038e8f3bd · outbound

This paper cites Monti, Some properties of Carnot–Carathéodory balls in the Heisenberg group,Rend.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Monti, Some properties of Carnot–Carathéodory balls in the Heisenberg group,Rend

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.314152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f64cce87-cf86-4240-8eb7-26392245c78a · outbound

This paper cites an unresolved cited work.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.373636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54e704b0-bcfa-45e1-8219-58e09e03b3a2 · outbound

This paper cites Thangavelu,Harmonic Analysis on the Heisenberg Group, Progress in Mathematics, vol.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Thangavelu,Harmonic Analysis on the Heisenberg Group, Progress in Mathematics, vol

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.427122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b64f085-bc0d-4bb9-a1a5-51be3d259af9 · outbound

This paper cites Venieri, Heisenberg Hausdorff dimension of Besicovitch sets,Anal.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Venieri, Heisenberg Hausdorff dimension of Besicovitch sets,Anal

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.485108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4401a3c4-ae23-4db3-a1e7-bc5d9a54cc85 · outbound

This paper cites Venieri,Dimension Estimates for Kakeya Sets Defined in an Axiomatic Setting, Ann.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Venieri,Dimension Estimates for Kakeya Sets Defined in an Axiomatic Setting, Ann

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.536311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8267ebf-d919-47c0-bd31-27a17a18e6a6 · outbound

This paper cites Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.588182Z

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Unavailable: canonical work link unavailable.

Observation 5501a3b0-ec74-4980-8848-83828d12b886 · outbound

This paper cites Wolff, Recent work connected with the Kakeya problem, inProspects in Mathematics(Princeton, NJ, 1996), H.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Wolff, Recent work connected with the Kakeya problem, inProspects in Mathematics(Princeton, NJ, 1996), H

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.641547Z

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Unavailable: canonical work link unavailable.

Observation c53fb5b5-0616-42b5-9202-2290c3f7c404 · outbound

This paper cites Zahl, A survey of the Kakeya conjecture, 2000–2025, inProceedings of the International Congress of Math- ematicians 2026, Volume 4: Invited Lectures (Sections 5–8), S.

On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Zahl, A survey of the Kakeya conjecture, 2000–2025, inProceedings of the International Congress of Math- ematicians 2026, Volume 4: Invited Lectures (Sections 5–8), S

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.712186Z

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Pith citing papers

No inbound Pith citation observations are available.