Paper Citation Record · LEDGER

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries

As of 17 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2601.16167.

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

pith.paper-citation-record.v1
2601.16167 v3

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:51:15.863284Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T23:15:18.786858Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T14:11:05.675666Z

Reference resolution

43 of 43 outbound references displayed

verified exact0
verified fuzzy0
unresolved43
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7829880f-89b6-413a-bba7-e7aeefd5f035 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:12.820397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68c6df91-99fb-4e32-8a44-7697208c5940 · outbound

This paper cites Aikawa and K.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Aikawa and K

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:12.895840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6e0fd60-ccab-4a44-a871-6b78bd76bb53 · outbound

This paper cites Absolute continuity of harmonic measure for domains with lower regular boundaries.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Absolute continuity of harmonic measure for domains with lower regular boundaries

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:12.979068Z

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Observation 962339b8-fa13-43ff-8eea-d05017c4eca1 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.047343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ba3a3ff-4221-4499-b148-06ebc4f8079d · outbound

This paper cites Azzam, S.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Azzam, S

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.090957Z

Source-reported events for the cited work

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Observation 8ca40a03-b87e-4677-9f75-578c2a187dac · outbound

This paper cites Azzam and M.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Azzam and M

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.147863Z

Source-reported events for the cited work

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Observation e7bd5a76-af6f-42a4-9578-681917d24836 · outbound

This paper cites Azzam and M.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Azzam and M

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.197391Z

Source-reported events for the cited work

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Observation 348209f1-bf9b-40b1-bfee-df2b6d9a5ff6 · outbound

This paper cites A two-phase free boundary problem for harmonic measure and uniform rectifiability.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries A two-phase free boundary problem for harmonic measure and uniform rectifiability

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.248788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1141124e-2305-4a20-9234-5889b07b489a · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.319523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34b1a93b-b271-4717-a0bc-9a8731eb5faf · outbound

This paper cites Dimension drop for harmonic measure on Ahlfors regular boundaries.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Dimension drop for harmonic measure on Ahlfors regular boundaries

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.384917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2060643-c906-4e49-8e2a-d17c1418c1fe · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.432079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4095e121-72c4-4b1f-90c4-254bafe8f440 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.489968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bd0856a-52e6-4231-beb2-bce01dd41b49 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.544815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d22cc02-7dff-4d1d-87c4-0954d5459f8d · outbound

This paper cites Reifenberg Flatness and Oscillation of the Unit Normal Vector.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Reifenberg Flatness and Oscillation of the Unit Normal Vector

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.596114Z

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Unavailable: canonical work link unavailable.

Observation 4b3638dc-39dc-42f4-b17a-a670d99faf66 · outbound

This paper cites Bourgain.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Bourgain

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.649255Z

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Unavailable: canonical work link unavailable.

Observation 581b10c9-b722-4849-873a-14180ef8a3ff · outbound

This paper cites Carleson.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Carleson

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.758066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adbe8b84-7482-4032-8823-e56735b93086 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.815772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbcf2b2e-bdc8-42a7-bf56-ce3aa94db9fc · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.853529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91a2d0ee-674b-4662-8f39-11e0c95498d4 · outbound

This paper cites David and S.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries David and S

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.912442Z

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Observation a9021026-cead-4d4f-bde4-cb1fd8a50f0b · outbound

This paper cites David and S.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries David and S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:13.954096Z

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Observation 884a9c6e-b3f9-4d8b-8df6-155ef779775e · outbound

This paper cites Cantor sets with absolutely continuous harmonic measure.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Cantor sets with absolutely continuous harmonic measure

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.009510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 782ebd55-4fc1-4fbf-bbe4-0c7c28aeee2b · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.062254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cf7b0d4-5ca7-4082-9ad4-544410b80b4e · outbound

This paper cites Heinonen, T.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Heinonen, T

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.115881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a03269e5-174f-40e4-9477-48ea8625d070 · outbound

This paper cites The weak-A property of harmonic and p-harmonic measures implies uniform rectifiability.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries The weak-A property of harmonic and p-harmonic measures implies uniform rectifiability

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.164983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98aed042-bdb4-468e-8e69-9460b061cdc2 · outbound

This paper cites Hyt \"o nen and H.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Hyt \"o nen and H

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.293148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1303b63-762c-4042-a21e-c1639620453d · outbound

This paper cites Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part I: The small constant case.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part I: The small constant case

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.380818Z

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Unavailable: canonical work link unavailable.

Observation f5872fdf-226e-4fce-b044-04e8e474af39 · outbound

This paper cites Hofmann, J.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Hofmann, J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.433772Z

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Unavailable: canonical work link unavailable.

Observation 154235d4-5b35-4f17-937c-c73a99eda378 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.515641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3400668-8f39-47e3-b3a4-a6f2dfd90bae · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.595826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dffae3d5-873e-45a6-965d-1785f05bbf19 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.661302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a00168b6-abe6-47e2-a539-642fbc0fb827 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.721220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 770f4b67-d084-4d67-838e-ff8ce6afede9 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:14.893963Z

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Unavailable: canonical work link unavailable.

Observation a0d5ca9b-4d95-4793-b8f3-3a7cdfe0f52b · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.007308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3225da7a-dd52-46b2-ac56-37c47c70437b · outbound

This paper cites Makarov and A.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Makarov and A

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.089793Z

Source-reported events for the cited work

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Observation a621f1f6-414e-4673-9f35-cdb5d4fc03bd · outbound

This paper cites Popovici.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Popovici

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.231521Z

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Observation fdefa1c2-2972-4c17-8a8f-6718dda44681 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.318259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc18c850-1644-4060-9d4f-1c660768fc01 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.373384Z

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Observation 79cd314a-d619-472c-997d-8df01111f4f6 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.442173Z

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Unavailable: canonical work link unavailable.

Observation 83cc0d41-674f-404f-99f3-b6c00c3ffbaa · outbound

This paper cites Urba\' n ski and A.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Urba\' n ski and A

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.510320Z

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Unavailable: canonical work link unavailable.

Observation c07d8651-e712-4e16-b874-5ecada181788 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.589262Z

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Observation 4f432a64-b093-4827-9a60-82ead9dfb7d4 · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.668089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a7574fa-ca11-471c-b9aa-223ee90a850c · outbound

This paper cites One phase problem for two positive harmonic function: below the codimension $1$ threshold.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries One phase problem for two positive harmonic function: below the codimension $1$ threshold

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.725709Z

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Observation bf460c75-1129-4c27-913e-090203c046fd · outbound

This paper cites an unresolved cited work.

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T08:51:15.863284Z

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Pith citing papers

Observation efabba4d-c8c3-43ac-a7bc-b91937e77e6d · inbound

Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries cites this paper.

Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-31T02:03:11.506534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.