Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:41.603352Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 3 inbound Pith citation observations for arXiv:2506.01736.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:41.603352Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T07:18:58.737239Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T05:06:40.073508Z
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation be2e7a2b-bd04-489b-b354-a3828f4386ce · outbound
The bad and rough rotation is Poissonian Aistleitner, M
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3351fd4a-05d2-4b5c-8cdd-2c6894de735a · outbound
The bad and rough rotation is Poissonian Aistleitner, T
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fdc636de-41f0-43c2-a25b-97ca111ee102 · outbound
The bad and rough rotation is Poissonian Aistleitner, T
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0a2fd5b7-5d80-488c-996f-e6818830231a · outbound
The bad and rough rotation is Poissonian Aistleitner, G
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 825c0c5e-1ff2-4086-9384-fc77324d5ef5 · outbound
The bad and rough rotation is Poissonian Allouche and J
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d21a620f-cccd-4e7b-a497-40bdce27296f · outbound
The bad and rough rotation is Poissonian Beresnevich, A
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d3c177e1-d314-4e6f-9363-589e8b1f3533 · outbound
The bad and rough rotation is Poissonian Berry and M
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation da90646c-f09f-42b4-a358-4db7f55d9ee0 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aece5268-1908-440b-a5d7-5dd1a3697127 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bfc21bfd-fa5b-4dfb-b1c3-a8335991234b · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 986bcf2b-a6ec-4fda-baca-ad380a0ef286 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5c69b8e5-67b5-454e-9ecf-073b326cb965 · outbound
The bad and rough rotation is Poissonian Chow and N
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f5897a55-cc08-4e61-a7a0-6e747d3ae186 · outbound
The bad and rough rotation is Poissonian El-Baz, J
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 36b8d910-1077-48b9-a793-56837d59419f · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b532a541-f19e-4e0a-af27-6c733bc55188 · outbound
The bad and rough rotation is Poissonian Freiberg, P
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7c35be28-f01d-4e6a-afe5-e1f708b70464 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 40bb4eae-684e-4ad8-9c8c-7be4af55092b · outbound
The bad and rough rotation is Poissonian Grepstad and G
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c3f49862-bc2c-489a-a853-e01cff412d48 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8e9dc5f5-8282-4e22-b63f-dfa1d10be139 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 73d17026-e873-41db-b317-0cc85a9379a4 · outbound
The bad and rough rotation is Poissonian Hauke and E
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1ae47b6d-1f43-4d70-ba14-f0646916e1a2 · outbound
The bad and rough rotation is Poissonian Hauke and A
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e352399e-8bdd-4814-8575-b1d5628c4536 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 23b3c4ee-5edc-488a-aa44-5be18deaa8b3 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9f867fe6-2305-4d61-8022-9423b2675754 · outbound
The bad and rough rotation is Poissonian American Mathematical Society, Providence, RI, 2004
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7f0c24b0-6cc8-4911-a915-83207a2c8225 · outbound
The bad and rough rotation is Poissonian Khintchine
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c46db984-90f2-450b-bb28-26d8f76234b9 · outbound
The bad and rough rotation is Poissonian Koukoulopoulos.The distribution of prime numbers, volume 203 ofGraduate Studies in Mathematics
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e6faf485-da33-4230-9199-cbe0d6187bca · outbound
The bad and rough rotation is Poissonian Kuipers and H
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b9412b5-ee83-4748-8360-ce705353ed77 · outbound
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b29b4f6a-8c09-40fd-9310-0e6c318913c7 · outbound
The bad and rough rotation is Poissonian Kurlberg and Z
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 73674260-a02c-432a-8f86-40647438ab76 · outbound
The bad and rough rotation is Poissonian Lachmann and N
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cddb51e1-ac9d-4048-93c4-30521dad4086 · outbound
The bad and rough rotation is Poissonian Larcher and W
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b86063dd-7361-48ec-9bb1-137bd98d8348 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 378d6353-d854-4257-9ca8-e608ba7e8a9b · outbound
The bad and rough rotation is Poissonian Lutsko, A
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c13cdddd-e818-4e7f-bad9-17b9ce15d72d · outbound
The bad and rough rotation is Poissonian Correlations of the Fractional Parts of $\alpha n^\theta$
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3998c5d1-8861-41ac-ae65-ee2c49b831fe · outbound
The bad and rough rotation is Poissonian Lutsko and N
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 82b021c3-9f12-41bb-9261-985a584f8d5f · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8e45068b-8aa6-4bfd-8a78-8b69371391d9 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bb9cbf97-0ed3-4c5b-bb3d-6f6c969f092a · outbound
The bad and rough rotation is Poissonian Marklof and A
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2ade32f0-2f9c-4446-a823-518577d25db9 · outbound
The bad and rough rotation is Poissonian Matomäki, M
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0fea1efc-2e70-485a-a560-526eddfb0f18 · outbound
The bad and rough rotation is Poissonian Meyn and R
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfc433ab-ff70-4495-b9fa-40d981486ce2 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8803f08c-28b3-4dd8-b8c7-a4bd331efeb5 · outbound
The bad and rough rotation is Poissonian Ostrowski
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1086d096-26ba-4154-a8ae-40de08dd5f90 · outbound
The bad and rough rotation is Poissonian Radziwiłł and A
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b5b9faca-c91b-4470-8712-3e5acc421c28 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b9910e75-c291-4bce-88f6-34a03050cc1b · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3dc22c64-e77b-42c8-8689-fcd1823221bf · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f1192917-688a-4dae-8003-ead6ab83699b · outbound
The bad and rough rotation is Poissonian Rudnick and P
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c9b7d6c1-0073-4c41-99e3-9349dddc06c3 · outbound
The bad and rough rotation is Poissonian Rudnick, P
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0f50662f-f061-4c61-afee-3532177a0596 · outbound
The bad and rough rotation is Poissonian Rudnick and A
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4561b8c2-b0ad-4fdf-a2f9-4dbc00b45b7f · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 50cdb664-ed6a-4f95-b53e-b80589019242 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8985f4d0-df1d-44e0-aea3-b98bb4088210 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1e7c44d1-cd8d-4c2f-bc5f-1c39f59f0620 · outbound
The bad and rough rotation is Poissonian Steinerberger
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a7839c67-986a-4494-9bb5-85358c31fdb3 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 87f03807-9fa6-468d-981e-a0ef051164c8 · outbound
The bad and rough rotation is Poissonian Technau and A
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c2af812f-d6c8-42f6-82af-f540a896d2d1 · outbound
The bad and rough rotation is Poissonian Technau and M
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 933f118c-de05-49fa-a0b9-e9e9a904a791 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5bc2e153-8978-4af9-a648-d60ec384eb5f · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f1769894-179e-4525-a221-2e37dfd1fc0b · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98e0146b-3c70-4d92-b0f2-7a93d80bbecd · outbound
The bad and rough rotation is Poissonian Woess.Denumerable Markov chains
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cc24c67e-02b4-42cc-b0ec-3226229fb7e7 · outbound
The bad and rough rotation is Poissonian Unresolved cited work
Reference 2017
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9c371275-79a2-4448-bb18-3a806d179a57 · inbound
Pair correlation of $\alpha n^{\theta}$ for random $\theta$ The bad and rough rotation is Poissonian
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 17b1c3f4-ce7f-48f6-b2f9-4ab48634a029 · inbound
Weak Inhomogeneous Poissonian Pair Correlation and Equidistribution The bad and rough rotation is Poissonian
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac6d5fb6-1cb8-4f73-b11f-52cb395b356c · inbound
Weak Inhomogeneous Poissonian Pair Correlation and Equidistribution The bad and rough rotation is Poissonian
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.