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Paper Citation Record · LEDGER

A note on limsup sets of annuli

As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2502.09807.

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

pith.paper-citation-record.v1
2502.09807 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:38:26.006943Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

20 of 20 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 97ab5f7b-5170-46c4-b2e4-d67c7bf56cfe · outbound

This paper cites Hausdorff dimension and exact approximation order in $\mathbb{R}^n$.

A note on limsup sets of annuli Hausdorff dimension and exact approximation order in $\mathbb{R}^n$

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T20:38:26.244667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.584753Z digest=sha256:5179fa43c5faea3fc4ea04d60b4e1ef55b620b4f31dabb225394f6afe04a377b

Observation 07738c27-08f1-4eb8-adb6-47636025c6a1 · outbound

This paper cites Bad is null.

A note on limsup sets of annuli Bad is null

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-07T20:38:26.132599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.642770Z digest=sha256:3e6cadf6b363ebe897b38a9186dda05bdfb2bf0ad4978eec74883c84439b29f9

Observation 936ce35f-be38-49c1-9a40-5f687227a3a6 · outbound

This paper cites Beresnevich, D.

A note on limsup sets of annuli Beresnevich, D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:27.472868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.653463Z digest=sha256:02b443d8f83fc58bbdff4c014b4a4d62109046d1fa3b715db486f601624da7fc

Observation ecbf0043-2cd6-48be-9168-1841f2166389 · outbound

This paper cites Beresnevich and S.

A note on limsup sets of annuli Beresnevich and S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:27.378987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.675846Z digest=sha256:72b648ebd57674cd99e5fe8c01caffcba294876f610bd38240b6b7c4bc66eae9

Observation e68ec9b5-7964-450c-8a0b-ecc3922ade82 · outbound

This paper cites Besicovitch.

A note on limsup sets of annuli Besicovitch

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:27.249702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.685916Z digest=sha256:6f060fe489316efad7b0227e5177a83046ee8e65168b3f5394fccd54763f0a72

Observation 6404bd57-0c9b-4e23-b111-4dbb297c2047 · outbound

This paper cites an unresolved cited work.

A note on limsup sets of annuli Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:38:27.152643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.691435Z digest=sha256:6357eef7429848ca597b77b54284fc5da10a744737bfd2faa0746aff67019e87

Observation b5aa9992-30ad-4b73-b129-b40791c8dd52 · outbound

This paper cites an unresolved cited work.

A note on limsup sets of annuli Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:38:27.115214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.696399Z digest=sha256:0312e86c81de77be219d55896d91bc459000be58041ab485b76e6ff2e9c535da

Observation 3b747b48-63e1-406e-b99c-e846fcc98f30 · outbound

This paper cites Bugeaud and C.

A note on limsup sets of annuli Bugeaud and C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:27.067506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.702098Z digest=sha256:6e7c369388ff2c9b3c28b2151ba0f04be898d2635c7f3a691a50974b635c2bd2

Observation f6f32361-05ec-48c3-b6f6-63f6a6009271 · outbound

This paper cites Some metrical theorems in Diophantine appr oximation.

A note on limsup sets of annuli Some metrical theorems in Diophantine appr oximation

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:27.007116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.708037Z digest=sha256:29f051fbc5362d3c4d705ab1954a99a43e22f0f4dfa652fba4781754e4a04196

Observation a6c8057c-7c25-42f8-95d0-d3e6280f5470 · outbound

This paper cites Falconer.

A note on limsup sets of annuli Falconer

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:26.964642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.715690Z digest=sha256:ebf2e2b1c611d0fd9ea37f48dfddf73407d22028b81fd23b1f501f05ddc7bc05

Observation 7e4b0f5a-e783-4306-bc23-1ae81135a8c3 · outbound

This paper cites Fraser and R.

A note on limsup sets of annuli Fraser and R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:26.877095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.721375Z digest=sha256:70cd3809320b2d63081b30c3fa3887aca85d5469469403b4fd815404cd6b3a36

Observation 0b0de2df-7ca3-4e2d-b026-095ea6c2eb5e · outbound

This paper cites an unresolved cited work.

A note on limsup sets of annuli Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:38:26.767503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.727657Z digest=sha256:d254f9f3621ac270365622a8efef8dd94b5fd6d90d06910ab581ed2109aa424e

Observation 94d395f9-abd2-4994-8cb3-9d39fd4a2dfb · outbound

This paper cites an unresolved cited work.

A note on limsup sets of annuli Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T20:38:26.688088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.733019Z digest=sha256:f134fb733b9f6214bcdae364ce87c443512f37b87be848b1245131a6258beadd

Observation 0e6fe7d5-95e4-4513-8819-8b499be37998 · outbound

This paper cites Einige Sätze über Kettenbrüche, mit Anwe ndungen auf die Theorie der Diophantischen Approximatione n.

A note on limsup sets of annuli Einige Sätze über Kettenbrüche, mit Anwe ndungen auf die Theorie der Diophantischen Approximatione n

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:26.600642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.749583Z digest=sha256:516a2f4557b73509ca0ebfd0c9a151e5b2ddb578c5b928ec943c92468f851ac9

Observation 41d5bc6e-15d3-495b-bbdb-afab2540a018 · outbound

This paper cites Koivusalo, J.

A note on limsup sets of annuli Koivusalo, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:26.531109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.774604Z digest=sha256:3a24d9245c6c75f3b6b0d15d777673f4d0f6b364a60cf6e021d334f4bd2ec2c1

Observation bb16ca08-d8e9-4f70-b261-bde149b72974 · outbound

This paper cites Koivusalo and M.

A note on limsup sets of annuli Koivusalo and M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:26.494843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.823917Z digest=sha256:3407b6b9c918803362cddec58a0fc89b006eb34b98147e3870f735c2f6ee6c16

Observation 400175f9-0530-4d33-be03-68f5093264fb · outbound

This paper cites On the Duffin-Schaeffer conjecture.

A note on limsup sets of annuli On the Duffin-Schaeffer conjecture

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:26.457223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.885971Z digest=sha256:abedca2b27fc26dcec6d38e71f900c52033a4f20aca18b27c4e436e7ac87092d

Observation e96d5b5b-6979-461a-ab48-422b44debfbd · outbound

This paper cites Hausdorff dimension and generalized simultan eous Diophantine approximation.

A note on limsup sets of annuli Hausdorff dimension and generalized simultan eous Diophantine approximation

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:26.399603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.940621Z digest=sha256:e771b6446c8c5ac2037aa9feddd599e0cc142bd00ebc13f3c0f6ded28d3a390f

Observation f99c6f90-1064-403c-adb4-d497171e0bac · outbound

This paper cites Metric results on sumsets and C artesian products of classes of Diophantine sets.

A note on limsup sets of annuli Metric results on sumsets and C artesian products of classes of Diophantine sets

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:26.342621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:25.980215Z digest=sha256:1b9b479182742930593777af1666c379f9063a0f85204d50681c084e14da954b

Observation e5204862-8b56-4d36-93ce-47926cc9041f · outbound

This paper cites Wang and J.

A note on limsup sets of annuli Wang and J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T20:38:26.309074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T20:38:26.006943Z digest=sha256:62e53cdc771a36ffe3158b015d93232a88e705b74e4f95b8e1d812adaee6893d

Pith citing papers

No inbound Pith citation observations are available.