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Paper Citation Record · LEDGER

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals

As of 19 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2412.12070.

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

pith.paper-citation-record.v1
2412.12070 v2

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:24:22.368654Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-25T21:08:16.553987Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T19:40:06.843210Z

Reference resolution

58 of 58 outbound references displayed

  • verified exact7
  • verified fuzzy38
  • unresolved13
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 31841441-18a7-489b-b422-1f5b1d7b0ffa · outbound

This paper cites Allen, S.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Allen, S

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 9162fe37-fca6-4f31-a319-2bbf5427767f · outbound

This paper cites Allen, S.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Allen, S

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 6591c667-2435-4dca-b630-e5c7855d2e58 · outbound

This paper cites Badziahin and J.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Badziahin and J

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 49d9440c-1340-403d-8656-d11879a3bae4 · outbound

This paper cites Baker,Approximating elements of the middle third Cantor set with dyadic rationals, Isr.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Baker,Approximating elements of the middle third Cantor set with dyadic rationals, Isr

Reference 4

Resolution
verified exact
doi, observed 2026-08-11T14:24:22.419060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1796993d-1772-47cd-a8bf-c38480a92890 · outbound

This paper cites Bénard, W.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Bénard, W

Reference 5

Resolution
verified exact
raw_fallback, observed 2026-08-11T14:24:22.680064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation cc418b45-f5f4-4e84-8f33-9014ea206f6f · outbound

This paper cites Beresnevich, Rational points near manifolds and metric Diophantine approxima- tion, Ann.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Beresnevich, Rational points near manifolds and metric Diophantine approxima- tion, Ann

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:23.196469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation e3851d3d-2565-471d-8a03-c7ee2be939b6 · outbound

This paper cites Rational points near manifolds and Khintchine theorem.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Rational points near manifolds and Khintchine theorem

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:24:22.598730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 4b2fe9e9-d8a2-4db8-b3bf-f62fdccc4724 · outbound

This paper cites Beresnevich, D.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Beresnevich, D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:23.185039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2a59029c-6f1f-45d7-b8e8-314b041fdc15 · outbound

This paper cites Beresnevich, A.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Beresnevich, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:23.173703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 626e3413-61ed-45b4-8b65-cb3ae03f4d50 · outbound

This paper cites Beresnevich, R.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Beresnevich, R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:23.161345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3aebb087-e8ec-43bf-a6b4-11a2590ee34d · outbound

This paper cites Beresnevich, F.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Beresnevich, F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:23.149791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 60e00e04-d38b-4b69-8029-0310b46c5f1f · outbound

This paper cites Beresnevich, R.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Beresnevich, R

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 93a4ae71-9308-4e72-9056-5411ec0d5dfc · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 13

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 62f58c10-2707-4306-9944-90cd947f952c · outbound

This paper cites Beresnevich and L.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Beresnevich and L

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 14a9c0cb-8e66-4976-a84b-56549ed5d5b3 · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:24:23.107127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b146aea3-a23c-41f2-a302-f43104e09e78 · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:24:23.095423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3e43c7ab-66fc-41ea-8559-66af62691d66 · outbound

This paper cites Broderick, L.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Broderick, L

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f978554a-17b8-4035-b8d2-8b2cae2a80b7 · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:24:23.073049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0134d722-572f-4463-a09b-4fcbaa1dfcf5 · outbound

This paper cites Bugeaud, A.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Bugeaud, A

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1460d96b-980f-40e9-a6ab-812e654d34a5 · outbound

This paper cites Chow,Bohr sets and multiplicative diophantine approximation, Duke Math.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Chow,Bohr sets and multiplicative diophantine approximation, Duke Math

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:23.048739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1f8df59e-9be7-4d1a-b953-7724ea06db35 · outbound

This paper cites Chow and N.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Chow and N

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:23.036249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7878e848-ffe6-4197-9dc9-d6f5ce3f01d6 · outbound

This paper cites Chow and N.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Chow and N

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:23.024077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 44de0378-c0bc-48a2-8a31-676b7d2e6e75 · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 23

Resolution
verified exact
raw_fallback, observed 2026-08-11T14:24:22.582643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 5fd30682-dc23-46b0-beb3-31e60bfae4f8 · outbound

This paper cites Chow and L.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Chow and L

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:23.010685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 81d8690b-c5dc-4523-985f-d9ce8a33630f · outbound

This paper cites Moment transference principles and multiplicative diophantine approximation on hypersurfaces.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Moment transference principles and multiplicative diophantine approximation on hypersurfaces

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-11T14:24:22.240154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:24:22.240154Z digest=sha256:3598a350f7fbb16428067b716cb743e18f8003032b3099e6e13039b140d4a4ef

Observation e229145d-28e3-46e5-b478-6f070119d16a · outbound

This paper cites On Fourier asymptotics and effective equidistribution.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals On Fourier asymptotics and effective equidistribution

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-11T14:24:22.243956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:24:22.243956Z digest=sha256:fa23f8cd03b5ccf94cd25e7e561e71c531a1327efbad39b564621de1e53f2d18

Observation 5e2aaa0f-9331-4527-9e2e-38d82a9f6dc5 · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:24:22.994696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.247988Z digest=sha256:1044bd31a7bdf41eee6d54dba0f67e8d4b0380de27664c338f5fc9b6478b1e89

Observation ccb5b03b-b93c-4ee9-a288-3a416ac2a3dd · outbound

This paper cites Einsiedler, L.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Einsiedler, L

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.982566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.251962Z digest=sha256:59e0d468bb4623aba9652f39ce2ece2411302aafc2a00aad6453ed73785a2faf

Observation 6420afc2-99d8-49ed-b8ea-967cd78255ce · outbound

This paper cites Falconer, Fractal Geometry: Mathematical Foundations and Applications, third edition, John Wiley & Sons Ltd., Chichester, 2014.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Falconer, Fractal Geometry: Mathematical Foundations and Applications, third edition, John Wiley & Sons Ltd., Chichester, 2014

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.968836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.255765Z digest=sha256:d0e15dc06550ca2447e3d0187a5d0fc57834ea1e75b4771ba3028728d309f06a

Observation f64c3949-0693-4c82-bc7e-c923caa1926e · outbound

This paper cites Falconer,Techniques in Fractal Geometry, John Wiley & Sons Ltd., Chichester, 1997.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Falconer,Techniques in Fractal Geometry, John Wiley & Sons Ltd., Chichester, 1997

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.957108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 626b0aad-1d8f-40c1-ab34-0ba99239416a · outbound

This paper cites Farkas,Dimension and measure theory of self-similar structures with no separation condition, Diss.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Farkas,Dimension and measure theory of self-similar structures with no separation condition, Diss

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.946332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 30b2480f-110f-4dcf-b027-4fdba8427e6e · outbound

This paper cites Fishman and D.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Fishman and D

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.934524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.267972Z digest=sha256:39933bd0e0f5684eb279d651311b268b1a1c3aecaa7fee7c49a6faf3640fe3f6

Observation 159947b0-4afb-4123-ae2e-b0465986f6c4 · outbound

This paper cites Furstenberg,Disjointness in Ergodic Theory, minimal sets, and a problem in dio- phantine approximationMath.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Furstenberg,Disjointness in Ergodic Theory, minimal sets, and a problem in dio- phantine approximationMath

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.920267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.272305Z digest=sha256:01cedb399639e8b7341d70ae76e29eaf5563e5723b646e13b0472b9190bfcdb8

Observation ad509778-77df-47de-b940-0994bca2877c · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:24:22.908618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.276751Z digest=sha256:19c6467d3e4107a0c8695678a975b1026914511491153e257ec252e021be42cf

Observation c53b5ee9-b5a6-42dc-bed3-c01d1a7d0ce9 · outbound

This paper cites Huang, The density of rational points near hypersurfaces, Duke Math.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Huang, The density of rational points near hypersurfaces, Duke Math

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.896163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.280454Z digest=sha256:619d6be991a1ddb2024d5f9326c8683052f9c811e8927cd16f5f2d7c07136b38

Observation d9eda959-7ca7-4ab5-a0de-cc496f282e41 · outbound

This paper cites Huang, Extremal affine subspaces and Khintchine-Jarník type theorems, Geom.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Huang, Extremal affine subspaces and Khintchine-Jarník type theorems, Geom

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.884305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.285171Z digest=sha256:b45f714dae4a52f611a383be7868522afa79df365c40330b3d17c77ddc7a5dcf

Observation d1e791c4-22e7-463d-af82-c4e058fa1949 · outbound

This paper cites Khalil and M.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Khalil and M

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.872937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.289001Z digest=sha256:293ec08680f69e97661ea9854fa220976f3d62f680b4a3232d8a17cde3d6b23c

Observation 7824e153-ddf2-443a-b755-4538a053ce1a · outbound

This paper cites Khinchin,Einige Sätze über Kettenbrücke, mit Anwendungen auf die Theorie der Diophantischen Approximationen, Math.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Khinchin,Einige Sätze über Kettenbrücke, mit Anwendungen auf die Theorie der Diophantischen Approximationen, Math

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.860929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.292477Z digest=sha256:00dd68ccac3280b7950b166d3e9f563046948146b16abe5818e1a41550446894

Observation e4ca6be2-7d09-4932-a9a2-1cc6665924f4 · outbound

This paper cites Khinchin, Zur metrischen theorie der diophantischen approximationen, Math.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Khinchin, Zur metrischen theorie der diophantischen approximationen, Math

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.850001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.296129Z digest=sha256:0c4248873453c8703c68fb330307da5360d22260f43117024b12809c7dfadf01

Observation 0cc84dfd-1227-471b-ae54-1b08669fd043 · outbound

This paper cites Kleinbock, E.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Kleinbock, E

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.839053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.299411Z digest=sha256:772006ae148a33ddba00baa0b63e5a004e9de8ccd3e144ed487be96209ec9bb4

Observation 99dd8d37-e629-416e-b284-b1ac11f05675 · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:24:22.827029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.302350Z digest=sha256:48f675a169558fa4ab2bb05a128c8cb56642e80b8c42b119fc0eeb79c05b2b47

Observation fbcd9000-1ab3-475d-8a69-12f626ee8f44 · outbound

This paper cites Levesley,A General Inhomogeneous Jarnik–Besicovitch Theorem, J.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Levesley,A General Inhomogeneous Jarnik–Besicovitch Theorem, J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.816399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.305971Z digest=sha256:7f79b1079dd353da963e2322e7d3a7b6fd799f8b1c84456141c0a8ee9982b9b3

Observation dc56df15-97ff-4f13-a8de-6c5aa71cf552 · outbound

This paper cites Levesley, C.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Levesley, C

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.805456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.310651Z digest=sha256:65be78f578a3935f620678cb72075fdb3d601713c7642f5435aa077b01a95c97

Observation 4b71ecb3-eacc-418f-8bf3-a3531d2e6fbc · outbound

This paper cites Mahler,Some suggestions for further research, Bull.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Mahler,Some suggestions for further research, Bull

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.795294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.315101Z digest=sha256:a495a570383c95b0945a94bf19670c7cbcaacce3ea1215f950135780b3ed1534

Observation f39af4f8-f332-4351-9ea0-b7cb0686e9f4 · outbound

This paper cites Mattila, Fourier Analysis and Hausdorff Dimension, Cambridge Studies in Ad- vanced Mathematics 150, Cambridge University Press, Cambridge, 2015.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Mattila, Fourier Analysis and Hausdorff Dimension, Cambridge Studies in Ad- vanced Mathematics 150, Cambridge University Press, Cambridge, 2015

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.785166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.318854Z digest=sha256:dc2086f816f8cc8d7a38414242db2fd2d01ace6c2dcc94864598084ced8aeded

Observation bdaa610a-9d46-447c-b6bd-b3da7c71a2e3 · outbound

This paper cites near-misses.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals near-misses

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.774263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.322419Z digest=sha256:bf728768fd0084f427234c89e8cfae8ff2705128483bfa3ebb36cdda2bdaafd1

Observation 2fa1ecaa-bf3a-4a0b-91d7-8115e9fbf498 · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:24:22.764138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.326733Z digest=sha256:290951e7f12eb8ed44c285cc6801b05bbd4e9fb7043aea964268a6739dc43d11

Observation 30c55947-d0e3-4265-9ca2-5bd6e8559caa · outbound

This paper cites Salberger,Counting rational points on projective varieties, Proc.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Salberger,Counting rational points on projective varieties, Proc

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.753905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.330210Z digest=sha256:3ff3e52aace15c1e8fc316ef52b21320af0e903ddc66809956b3a0c50b339da7

Observation c3cd6ca8-8cb6-4eef-8977-d8d53d278a03 · outbound

This paper cites Schindler and S.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Schindler and S

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.742657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.333660Z digest=sha256:acdecfc9ba28a5408c29b01d5cfd8e3c69dbb0ed568de3cabb302681bb08605a

Observation d10dd3f4-3f03-4b83-810a-b0faf43c9a6a · outbound

This paper cites Serre, Lectures on the Mordell-Weil Theorem, third edition, Aspects Math., Friedr.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Serre, Lectures on the Mordell-Weil Theorem, third edition, Aspects Math., Friedr

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.730925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.337217Z digest=sha256:2ef9623cd485b2b68fbdc488a76e0699291e89c272485cd7aeb229785cc08e15

Observation cbe005bf-206e-4146-8d52-a723ec842cdf · outbound

This paper cites Simmons and B.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Simmons and B

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.717277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.340939Z digest=sha256:fbb8fc70b56b13b3d8d3e6c9e5bf07e3654dcadc0e597e2c77aa5fb870bccb09

Observation 0a530d6f-7386-420a-8106-a9908c96b3b1 · outbound

This paper cites Counting Rational Points In Non-Isotropic Neighborhoods of Manifolds.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Counting Rational Points In Non-Isotropic Neighborhoods of Manifolds

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:24:22.478165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.345478Z digest=sha256:3c397b434c3114f9bbb5ec4273ce7da5ad4f2042deb0ca1d8041d739796951f1

Observation 37bf7ebc-702c-4258-b411-9ad9f95577f4 · outbound

This paper cites Tan, B., Wang and J.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Tan, B., Wang and J

Reference 53

Resolution
verified exact
doi, observed 2026-08-11T14:24:22.405383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.349514Z digest=sha256:3979d899d53a384cd3545ce1cdfdd767fc0e509dbdf8c4e2ec1b9d71a3abdc40

Observation 143dc017-8570-44b2-a8a2-1776225d127b · outbound

This paper cites an unresolved cited work.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:24:22.704930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.353276Z digest=sha256:a70550e248c7eae0464c0e966fe6310d4563f077d33cf0c526a60fe475cfd272

Observation 006e1163-e0a6-4e4a-be3b-35b9b0ab54f5 · outbound

This paper cites Weiss,Almost no points on a Cantor set are very well approximable, R.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Weiss,Almost no points on a Cantor set are very well approximable, R

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:24:22.693287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.357842Z digest=sha256:1d5dbb4cdbd11bb875c6c9e0e77c367a43d98bcbeca3b95c7c1798049e590082

Observation e603134d-beed-4402-ac44-f3b9581bdb08 · outbound

This paper cites Rational points near self-similar sets.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Rational points near self-similar sets

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-11T14:24:22.361470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:24:22.361470Z digest=sha256:06ab53598b2acba699b95a6125f330e6e44f5fde5891cbeb94fc4b21818547fa

Observation 68c30a66-685b-41fd-90de-d5956779d65e · outbound

This paper cites On the absolute continuity of radial and linear projections of missing digits measures.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals On the absolute continuity of radial and linear projections of missing digits measures

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:24:22.449159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T14:24:22.365129Z digest=sha256:d46a64ab72c7a1c950f6e892d241523e4abcac51b05651fceb214c9991911f4f

Observation f99992be-4785-48e5-84be-ef848495dcc5 · outbound

This paper cites Missing digits points near manifolds.

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Missing digits points near manifolds

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-11T14:24:22.368654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:24:22.368654Z digest=sha256:b45537c8d2598c80d5b9648fac91f86291e1c09ad3e502dad4186d61172d3bd4

Pith citing papers

Observation a80e2bb0-64e4-465f-839b-f479d16f8138 · inbound

Metric results for dyadic approximation on the middle-third Cantor set cites this paper.

Metric results for dyadic approximation on the middle-third Cantor set Simultaneous and multiplicative Diophantine approximation on missing-digit fractals

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-04T19:40:06.844575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-25T21:08:16.553987Z digest=sha256:4db13ef08ff80fe14fc459d4734fb5c14fedbcc20e3b1bc0bce91656a34f0db1