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Paper Citation Record · LEDGER

The bad and rough rotation is Poissonian

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.

pith.paper-citation-record.v1
2506.01736 v1

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:41.603352Z

measured 64 of 64 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T07:18:58.737239Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T05:06:40.073508Z

Reference resolution

61 of 61 outbound references displayed

  • verified exact2
  • verified fuzzy32
  • unresolved27
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation be2e7a2b-bd04-489b-b354-a3828f4386ce · outbound

This paper cites Aistleitner, M.

The bad and rough rotation is Poissonian Aistleitner, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:51.242065Z

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.

source=pdf_text observed=2026-08-07T11:49:35.921414Z digest=sha256:d096d0d6fb3c89db102d4f3195867bf65930634292d15dab57450a005f63a7f6

Observation 3351fd4a-05d2-4b5c-8cdd-2c6894de735a · outbound

This paper cites Aistleitner, T.

The bad and rough rotation is Poissonian Aistleitner, T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:50.971768Z

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.

source=pdf_text observed=2026-08-07T11:49:36.059251Z digest=sha256:fba9aba68e1756c5ea4eadf638a90bbee8120baaa06b7cc0f9797bb70fbcf39b

Observation fdc636de-41f0-43c2-a25b-97ca111ee102 · outbound

This paper cites Aistleitner, T.

The bad and rough rotation is Poissonian Aistleitner, T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:50.707657Z

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.

source=pdf_text observed=2026-08-07T11:49:36.135423Z digest=sha256:a4465187a4fcaa1e22745778e25145092277ab274c8888d1a10fd64e57530793

Observation 0a2fd5b7-5d80-488c-996f-e6818830231a · outbound

This paper cites Aistleitner, G.

The bad and rough rotation is Poissonian Aistleitner, G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:50.416784Z

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.

source=pdf_text observed=2026-08-07T11:49:36.173007Z digest=sha256:2a08ce00c1f199210ee1a364b6ff144451d8b60cf21e94f83dba08e8f8bde26f

Observation 825c0c5e-1ff2-4086-9384-fc77324d5ef5 · outbound

This paper cites Allouche and J.

The bad and rough rotation is Poissonian Allouche and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:49.936752Z

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.

source=pdf_text observed=2026-08-07T11:49:36.280899Z digest=sha256:c8419e30f0896c14a093923a38c88619324e9a3668b3af77e05b58d8302ed3f0

Observation d21a620f-cccd-4e7b-a497-40bdce27296f · outbound

This paper cites Beresnevich, A.

The bad and rough rotation is Poissonian Beresnevich, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:49.748793Z

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.

source=pdf_text observed=2026-08-07T11:49:36.326023Z digest=sha256:2cb40647a8721887cde7375ebbdbea08ea3325d8858420a55b675d8a01253625

Observation d3c177e1-d314-4e6f-9363-589e8b1f3533 · outbound

This paper cites Berry and M.

The bad and rough rotation is Poissonian Berry and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:49.611929Z

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.

source=pdf_text observed=2026-08-07T11:49:36.395462Z digest=sha256:796ff47e3432c14a53314426dd125290347119b8979f511ba6fe01127397d196

Observation da90646c-f09f-42b4-a358-4db7f55d9ee0 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:49.495968Z

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.

source=pdf_text observed=2026-08-07T11:49:36.469847Z digest=sha256:9de8f1d15f59f14445b9391d260a59e465d2725416109344632053640b562350

Observation aece5268-1908-440b-a5d7-5dd1a3697127 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:49.345188Z

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.

source=pdf_text observed=2026-08-07T11:49:36.526591Z digest=sha256:f2ee04c21c4496373ba10d16c98e3f9689bea7bc7f9b522dd93dc6f2b13d8290

Observation bfc21bfd-fa5b-4dfb-b1c3-a8335991234b · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:49.233430Z

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.

source=pdf_text observed=2026-08-07T11:49:36.600270Z digest=sha256:11a3f35f53f17977bc2569d613e455afb9ed5cca50269c7b5122711e24a83aa0

Observation 986bcf2b-a6ec-4fda-baca-ad380a0ef286 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:49.071866Z

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.

source=pdf_text observed=2026-08-07T11:49:36.668193Z digest=sha256:153259a49b4bf209fc54efc54929f478618522db4cffd1be9b1af9419f388b8b

Observation 5c69b8e5-67b5-454e-9ecf-073b326cb965 · outbound

This paper cites Chow and N.

The bad and rough rotation is Poissonian Chow and N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:48.904920Z

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.

source=pdf_text observed=2026-08-07T11:49:36.744012Z digest=sha256:630966fb594d0d4d4de7631e6b6ee3931568f21900155898820fbc825d22fbd9

Observation f5897a55-cc08-4e61-a7a0-6e747d3ae186 · outbound

This paper cites El-Baz, J.

The bad and rough rotation is Poissonian El-Baz, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:48.734300Z

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.

source=pdf_text observed=2026-08-07T11:49:36.809269Z digest=sha256:d0bdc5c5eeff38cd46025ddf8709377de3ec292d29ffd02e7e4fd5a7afdd38ab

Observation 36b8d910-1077-48b9-a793-56837d59419f · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:48.626225Z

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.

source=pdf_text observed=2026-08-07T11:49:36.879752Z digest=sha256:e935b1231cd594e0acae934ce0cc6f46ce2399b37e73b0de26917eacc02b95da

Observation b532a541-f19e-4e0a-af27-6c733bc55188 · outbound

This paper cites Freiberg, P.

The bad and rough rotation is Poissonian Freiberg, P

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:48.439852Z

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.

source=pdf_text observed=2026-08-07T11:49:36.959825Z digest=sha256:f2b35efebba40ec2cd60714766ef53bf1e17e8b42c924fc64c962321b388ecea

Observation 7c35be28-f01d-4e6a-afe5-e1f708b70464 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:48.306727Z

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.

source=pdf_text observed=2026-08-07T11:49:37.104139Z digest=sha256:8bb9093cc61965641c61ad6fef24d06a3693fd9d7faa5484cd6f849ad4f22d83

Observation 40bb4eae-684e-4ad8-9c8c-7be4af55092b · outbound

This paper cites Grepstad and G.

The bad and rough rotation is Poissonian Grepstad and G

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:48.130159Z

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.

source=pdf_text observed=2026-08-07T11:49:37.195902Z digest=sha256:ef154a51a527290440f671bd4ee1df2efb3c1172f3ee7659b4ae4148ba2aaf29

Observation c3f49862-bc2c-489a-a853-e01cff412d48 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:47.978712Z

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.

source=pdf_text observed=2026-08-07T11:49:37.348896Z digest=sha256:b98257ad875748462ffd8828f388eb7ef9342cbb9f7b4b5ec1496257e5e12ebe

Observation 8e9dc5f5-8282-4e22-b63f-dfa1d10be139 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:47.824950Z

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.

source=pdf_text observed=2026-08-07T11:49:37.453966Z digest=sha256:d24994fe715debe8528328fca747af158dd71f16019d787626eaf2a20765dd69

Observation 73d17026-e873-41db-b317-0cc85a9379a4 · outbound

This paper cites Hauke and E.

The bad and rough rotation is Poissonian Hauke and E

Reference 20

Resolution
verified exact
raw_fallback, observed 2026-08-07T11:49:41.974143Z

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.

source=pdf_text observed=2026-08-07T11:49:37.598079Z digest=sha256:4ff7b5e74c319ce0b7fba96d1a7275709c4ff5fb46ef842cf0813dc8d8118af9

Observation 1ae47b6d-1f43-4d70-ba14-f0646916e1a2 · outbound

This paper cites Hauke and A.

The bad and rough rotation is Poissonian Hauke and A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:47.637980Z

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.

source=pdf_text observed=2026-08-07T11:49:37.732471Z digest=sha256:8e48f76350cc1704a6d21587e0a7b7c0f9ff3845aff5dc6acbfd8a48bcce4341

Observation e352399e-8bdd-4814-8575-b1d5628c4536 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:47.531793Z

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.

source=pdf_text observed=2026-08-07T11:49:37.818501Z digest=sha256:45ad72a59638b996d595949c067bdb4e4449fd0b55e939b8582bfffcb6fe4c88

Observation 23b3c4ee-5edc-488a-aa44-5be18deaa8b3 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:47.380541Z

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.

source=pdf_text observed=2026-08-07T11:49:37.954169Z digest=sha256:80cbe1967a0ff3d7f399d39a1c9ef83fcd8bfef9e7ffe5ef08516749e8dfd371

Observation 9f867fe6-2305-4d61-8022-9423b2675754 · outbound

This paper cites American Mathematical Society, Providence, RI, 2004.

The bad and rough rotation is Poissonian American Mathematical Society, Providence, RI, 2004

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:47.178860Z

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.

source=pdf_text observed=2026-08-07T11:49:38.089944Z digest=sha256:6529444eaf270d63271ed386d8401b6781e3c8bf8e99947cdd2ea265d4b900e3

Observation 7f0c24b0-6cc8-4911-a915-83207a2c8225 · outbound

This paper cites Khintchine.

The bad and rough rotation is Poissonian Khintchine

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:47.029154Z

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.

source=pdf_text observed=2026-08-07T11:49:38.244513Z digest=sha256:3e8d289a3313ddc66289d2c7945eee01eb23bbef91fbbc430f797e51733788cf

Observation c46db984-90f2-450b-bb28-26d8f76234b9 · outbound

This paper cites Koukoulopoulos.The distribution of prime numbers, volume 203 ofGraduate Studies in Mathematics.

The bad and rough rotation is Poissonian Koukoulopoulos.The distribution of prime numbers, volume 203 ofGraduate Studies in Mathematics

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:46.897438Z

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.

source=pdf_text observed=2026-08-07T11:49:38.349412Z digest=sha256:57efa75188a7161e049a5db572602cbc07087226d2db860273c605c0f570f3f4

Observation e6faf485-da33-4230-9199-cbe0d6187bca · outbound

This paper cites Kuipers and H.

The bad and rough rotation is Poissonian Kuipers and H

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T11:49:38.470713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:49:38.470713Z digest=sha256:b07cc9f465937bec98d16d08afb8654971836e5de38574a3aa9ae673a11862b0

Observation 3b9412b5-ee83-4748-8360-ce705353ed77 · outbound

This paper cites Kurlberg.

The bad and rough rotation is Poissonian Kurlberg

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:46.727782Z

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.

source=pdf_text observed=2026-08-07T11:49:38.613158Z digest=sha256:f9e3e64a185f0963636507808f5dd4eadf27279c51d83381a1c3f2827988d008

Observation b29b4f6a-8c09-40fd-9310-0e6c318913c7 · outbound

This paper cites Kurlberg and Z.

The bad and rough rotation is Poissonian Kurlberg and Z

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:46.508473Z

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.

source=pdf_text observed=2026-08-07T11:49:38.741181Z digest=sha256:19903f87d9b872230d241bc0f15cb647ec6392979c9852d52ad93048976a3bbf

Observation 73674260-a02c-432a-8f86-40647438ab76 · outbound

This paper cites Lachmann and N.

The bad and rough rotation is Poissonian Lachmann and N

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:46.326336Z

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.

source=pdf_text observed=2026-08-07T11:49:38.808701Z digest=sha256:698c3f0c94b1dc55317b787ffe567b7d7989224c6c661d5bbb8464092a53d5fa

Observation cddb51e1-ac9d-4048-93c4-30521dad4086 · outbound

This paper cites Larcher and W.

The bad and rough rotation is Poissonian Larcher and W

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:46.095438Z

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.

source=pdf_text observed=2026-08-07T11:49:38.906388Z digest=sha256:642dae9870fa82ff10c1314fb3b4ec3a344f1db73b2c477a0e49326099c4d5cc

Observation b86063dd-7361-48ec-9bb1-137bd98d8348 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:45.892038Z

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.

source=pdf_text observed=2026-08-07T11:49:39.029247Z digest=sha256:193611934087b7eb80906eed8c8fe00aeb47cf77b8a109dc1422a6193b34e49d

Observation 378d6353-d854-4257-9ca8-e608ba7e8a9b · outbound

This paper cites Lutsko, A.

The bad and rough rotation is Poissonian Lutsko, A

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:45.686954Z

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.

source=pdf_text observed=2026-08-07T11:49:39.148606Z digest=sha256:79abe0ac9aeb4f517e0624488a9cebdbc5522304ae72eccd6e2534c68e6027aa

Observation c13cdddd-e818-4e7f-bad9-17b9ce15d72d · outbound

This paper cites Correlations of the Fractional Parts of $\alpha n^\theta$.

The bad and rough rotation is Poissonian Correlations of the Fractional Parts of $\alpha n^\theta$

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:49:41.765135Z

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.

source=pdf_text observed=2026-08-07T11:49:39.258526Z digest=sha256:821bee2da15a61c190ee122ea3dd00102a1b57efc2550688b6a5b3762cb86fba

Observation 3998c5d1-8861-41ac-ae65-ee2c49b831fe · outbound

This paper cites Lutsko and N.

The bad and rough rotation is Poissonian Lutsko and N

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:45.462016Z

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.

source=pdf_text observed=2026-08-07T11:49:39.344251Z digest=sha256:454f83a4ed90a5d0b72412799652b1d942a569eb3f91084e4b5bd261d62a99ba

Observation 82b021c3-9f12-41bb-9261-985a584f8d5f · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:45.258329Z

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.

source=pdf_text observed=2026-08-07T11:49:39.399939Z digest=sha256:05c7a653bfa63c3ef9d9883488475a68ea4590d665b29fee9978094b3eb89471

Observation 8e45068b-8aa6-4bfd-8a78-8b69371391d9 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:45.040175Z

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.

source=pdf_text observed=2026-08-07T11:49:39.469235Z digest=sha256:7d6d66fca862055aac2d8ed9279cbc94ef7ba1341165c2c91406b776952efdfd

Observation bb9cbf97-0ed3-4c5b-bb3d-6f6c969f092a · outbound

This paper cites Marklof and A.

The bad and rough rotation is Poissonian Marklof and A

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:44.810304Z

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.

source=pdf_text observed=2026-08-07T11:49:39.547046Z digest=sha256:cd9c69056351a32ff32cafabf9997f83da2021f0f103a578bc7d39a65f2a2bd0

Observation 2ade32f0-2f9c-4446-a823-518577d25db9 · outbound

This paper cites Matomäki, M.

The bad and rough rotation is Poissonian Matomäki, M

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:44.611812Z

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.

source=pdf_text observed=2026-08-07T11:49:39.629642Z digest=sha256:584fa9384d377bf526ee215564fb0690e88609842a8cad8272d11be79d1261d7

Observation 0fea1efc-2e70-485a-a560-526eddfb0f18 · outbound

This paper cites Meyn and R.

The bad and rough rotation is Poissonian Meyn and R

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T11:49:39.731537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:49:39.731537Z digest=sha256:ef1dd50fe6b4c383bcf06d25501043d02edb86f5d57b4ba701d5dd34a57558bf

Observation cfc433ab-ff70-4495-b9fa-40d981486ce2 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:44.374079Z

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.

source=pdf_text observed=2026-08-07T11:49:39.843279Z digest=sha256:9179acf51fff1ac11535cce62843b7fefdaaa503f39d29450e876232cbc3d473

Observation 8803f08c-28b3-4dd8-b8c7-a4bd331efeb5 · outbound

This paper cites Ostrowski.

The bad and rough rotation is Poissonian Ostrowski

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:44.158294Z

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.

source=pdf_text observed=2026-08-07T11:49:39.939900Z digest=sha256:1c81464d5efe81f6cbff61c87b49390c479f82234666916d66154a2e2232f4b2

Observation 1086d096-26ba-4154-a8ae-40de08dd5f90 · outbound

This paper cites Radziwiłł and A.

The bad and rough rotation is Poissonian Radziwiłł and A

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:43.972739Z

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.

source=pdf_text observed=2026-08-07T11:49:40.033555Z digest=sha256:7fc0d1c7023238597a96fc070d903a7382fea47b6014c64f9d4af747f9503384

Observation b5b9faca-c91b-4470-8712-3e5acc421c28 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:43.825691Z

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.

source=pdf_text observed=2026-08-07T11:49:40.145023Z digest=sha256:e9e9a8c691fbb4c687a7316bda5d69e619d888861824ee94f5b956272fec1203

Observation b9910e75-c291-4bce-88f6-34a03050cc1b · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:43.694680Z

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.

source=pdf_text observed=2026-08-07T11:49:40.230483Z digest=sha256:ca6c5efe3cebfa63caae2dde39c6a26bc115543ab6a669a021fe701216b98b20

Observation 3dc22c64-e77b-42c8-8689-fcd1823221bf · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:43.587740Z

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.

source=pdf_text observed=2026-08-07T11:49:40.328473Z digest=sha256:817aad837130591191445e2100f85d6a07c5db1abafe6d0ec632d88ea474de78

Observation f1192917-688a-4dae-8003-ead6ab83699b · outbound

This paper cites Rudnick and P.

The bad and rough rotation is Poissonian Rudnick and P

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:43.472600Z

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.

source=pdf_text observed=2026-08-07T11:49:40.441668Z digest=sha256:d29ac9528cbcce2664f0945fabefdcc9cf6f8f1ec66143dafe52647a7d590557

Observation c9b7d6c1-0073-4c41-99e3-9349dddc06c3 · outbound

This paper cites Rudnick, P.

The bad and rough rotation is Poissonian Rudnick, P

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:43.344058Z

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.

source=pdf_text observed=2026-08-07T11:49:40.577946Z digest=sha256:643fd00981109a3cb8a4cee2bc3a6d33604cd115ea0fe9598d2854964164674b

Observation 0f50662f-f061-4c61-afee-3532177a0596 · outbound

This paper cites Rudnick and A.

The bad and rough rotation is Poissonian Rudnick and A

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:43.242460Z

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.

source=pdf_text observed=2026-08-07T11:49:40.686723Z digest=sha256:4e21e7d1fa0e8391d741c52abc9e30289b71d358486175ea70d52d066dc6bab7

Observation 4561b8c2-b0ad-4fdf-a2f9-4dbc00b45b7f · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:43.102616Z

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.

source=pdf_text observed=2026-08-07T11:49:40.811750Z digest=sha256:712d66827052c77130a430d336a6b7f7e1e1666f0e78d1067094a51bc89ee6a4

Observation 50cdb664-ed6a-4f95-b53e-b80589019242 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:43.016574Z

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.

source=pdf_text observed=2026-08-07T11:49:40.914425Z digest=sha256:587c3d2887e9bbf583299916cf17c8bb264d2b522eb08eab272eb97141585f41

Observation 8985f4d0-df1d-44e0-aea3-b98bb4088210 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:42.911678Z

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.

source=pdf_text observed=2026-08-07T11:49:41.010640Z digest=sha256:0c726f7e8964ca52246a4317e3dde26dee0d45f7353cbc42e4f6200e5fd2a663

Observation 1e7c44d1-cd8d-4c2f-bc5f-1c39f59f0620 · outbound

This paper cites Steinerberger.

The bad and rough rotation is Poissonian Steinerberger

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:42.790824Z

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.

source=pdf_text observed=2026-08-07T11:49:41.124908Z digest=sha256:1683f344a55e7c30ffea4b99366ed5543182509018ed943bb3456891bb4a5af1

Observation a7839c67-986a-4494-9bb5-85358c31fdb3 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:42.676431Z

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.

source=pdf_text observed=2026-08-07T11:49:41.182888Z digest=sha256:8dd8c8031ecef2166cea32107bf8d467cacd16be2660cec1e2d23cfa21cd992e

Observation 87f03807-9fa6-468d-981e-a0ef051164c8 · outbound

This paper cites Technau and A.

The bad and rough rotation is Poissonian Technau and A

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:42.550475Z

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.

source=pdf_text observed=2026-08-07T11:49:41.238314Z digest=sha256:04b37c7f78dbe8c061cd12b7807996097cd83b7116a7b9af5cb9e91fc21b9244

Observation c2af812f-d6c8-42f6-82af-f540a896d2d1 · outbound

This paper cites Technau and M.

The bad and rough rotation is Poissonian Technau and M

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:42.450748Z

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.

source=pdf_text observed=2026-08-07T11:49:41.321919Z digest=sha256:d2c4ff22770a708b73e9d2aaf75a88c3ccfcf54459e2effcf764458333c8c284

Observation 933f118c-de05-49fa-a0b9-e9e9a904a791 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:42.338453Z

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.

source=pdf_text observed=2026-08-07T11:49:41.413806Z digest=sha256:e09a83581236cd9aff4968d797962597bf855b1e615bf3b17c67b9d486297d4b

Observation 5bc2e153-8978-4af9-a648-d60ec384eb5f · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:42.206215Z

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.

source=pdf_text observed=2026-08-07T11:49:41.480396Z digest=sha256:065b6b7a995afcfd5657d681ac42135531227d3b55be1d24900db6d322db309d

Observation f1769894-179e-4525-a221-2e37dfd1fc0b · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-07T11:49:41.547051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:49:41.547051Z digest=sha256:ab8be91d90cf88c622c4c1b14eb0b242e80bade8b6bc59da8901cc4fe4f2323c

Observation 98e0146b-3c70-4d92-b0f2-7a93d80bbecd · outbound

This paper cites Woess.Denumerable Markov chains.

The bad and rough rotation is Poissonian Woess.Denumerable Markov chains

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:42.115629Z

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.

source=pdf_text observed=2026-08-07T11:49:41.603352Z digest=sha256:fe5046502538e4479c0c0a060ac1543b3428c4d59a2b21275c8379b7a1e30b8d

Observation cc24c67e-02b4-42cc-b0ec-3226229fb7e7 · outbound

This paper cites an unresolved cited work.

The bad and rough rotation is Poissonian Unresolved cited work

Reference 2017

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:50.129196Z

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.

source=pdf_text observed=2026-08-07T11:49:36.221880Z digest=sha256:580d0af5b7e9de1a240dfa8462e50d2523e95397f6e7afdc1de611624e5fb5d9

Pith citing papers

Observation 9c371275-79a2-4448-bb18-3a806d179a57 · inbound

Pair correlation of $\alpha n^{\theta}$ for random $\theta$ cites this paper.

Pair correlation of $\alpha n^{\theta}$ for random $\theta$ The bad and rough rotation is Poissonian

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-02T05:06:40.074703Z

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.

source=pdf_text observed=2026-06-28T08:32:26.456964Z digest=sha256:3b983b87fc4614bff4edeb8677367946dd3209b0f9e9412cee075b085407cecc

Observation 17b1c3f4-ce7f-48f6-b2f9-4ab48634a029 · inbound

Weak Inhomogeneous Poissonian Pair Correlation and Equidistribution cites this paper.

Weak Inhomogeneous Poissonian Pair Correlation and Equidistribution The bad and rough rotation is Poissonian

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-14T09:22:32.224411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T09:22:32.224411Z digest=sha256:bc94699c4bc6c530c2f22c036f5da81c3870c7f746b72cf29719d6b57557a235

Observation ac6d5fb6-1cb8-4f73-b11f-52cb395b356c · inbound

Weak Inhomogeneous Poissonian Pair Correlation and Equidistribution cites this paper.

Weak Inhomogeneous Poissonian Pair Correlation and Equidistribution The bad and rough rotation is Poissonian

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T07:18:58.737239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T07:18:58.737239Z digest=sha256:39f09d8c488cb009dd6613398a5b690a19d696307d8870f04b189f091a358950