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Paper Citation Record · LEDGER

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals

As of 14 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 2026-08-14T06:32:32.682623+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
  • parse uncertain0
  • malformed identifier0
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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
raw_fallback, observed 2026-08-11T14:24:23.229142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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
raw_fallback, observed 2026-08-11T14:24:23.207480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.176546Z digest=sha256:9553f78c3d8fff1bc03aa5f6675ffceaa84d2b8597851192bf79f5d0cccc8a4e

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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
raw_fallback, observed 2026-08-11T14:24:23.117069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.203910Z digest=sha256:48718bafbe5786ad0e1d9010cf2e3429106c7a81675ebfda34611cacb0652f54

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.212679Z digest=sha256:c6eca9b724fc63d88fb8921fe33e3f10facabbb2c265568721504da03336cd80

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
raw_fallback, observed 2026-08-11T14:24:23.060867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.216811Z digest=sha256:290a4f43a0b53d9dac87d9a6996a5c55ace7d4cd3c8bb566fdb472f0defe0d63

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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=sha256:5590c1d2ed9c04a6c7416e8480628b67e2a55a7b44f86254dbc8bab2c048428d

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=sha256:4110d3c2336cdd19bdaffd9ba062374d413ecebf9d507d1911ce903cb5417213

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.247988Z digest=sha256:92152cb3618450d2c92fee654a0259cc5b86370ec904e3df5aea372f2cc4cfe6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.251962Z digest=sha256:e9b5352a7f6a9e7d35c13cc8cae064a67d5b2a510caf311f36dc066c20c1c0e9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.255765Z digest=sha256:119780cb172da3b141af7a689352bd75d15f19b33a057abcacf408337b7270ce

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.263153Z digest=sha256:11e1a4192d9185cb4c62f66760b4c0d892cae281bc2f2ceb5a3ea986c80dbb17

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.267972Z digest=sha256:31178858810abac3d339821ada356b497d334c8b655df50aebdf8eb161d2ded2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.272305Z digest=sha256:c5f35401feba106b1428b324ff7f31f5712518ba3b82b1119079104808b444a2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.276751Z digest=sha256:1ceba33e8daf0b6519a774bf14d129311bd0067be1ee5086e8db21c5fb99807a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.280454Z digest=sha256:e4a16c1bdd8d9e1b1b95cd3aa2b7c1f6ef57b8b6c71b2056aa20057ebc768a3f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.285171Z digest=sha256:935a8a86cd144f316741e438249b0398f03c4c4f34b688f89cd6e72c4cfab8a1

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.289001Z digest=sha256:602cc2d868c24d40f8040d16601010ae8b30fff2893536dd2c93c3529e500706

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.292477Z digest=sha256:9a95f2d2edc789480a67c1531b5c078e5c604569be736dc13ba4166cea195553

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.296129Z digest=sha256:062b111934869a5dd5268bf7c3007aafd5201159f00b115e2e160aa323618489

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.299411Z digest=sha256:af284e537e4f555ffed32dad72ef5b1bcdc1b5a114001cf651e65de6da0deaf6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.302350Z digest=sha256:3ab0b15fe34030da092201fb302bfd092f07206d70eb35a997dafebe8e3a88d1

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.305971Z digest=sha256:1115e87eb150996ee78dc698f0b13ad756a3c98d245bf10e0779a49f99114eff

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.310651Z digest=sha256:4a10d81bdb6f6df09103ce6c68fd3a420fdc75f1b6d92a20e64a0064aadfb7e4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.315101Z digest=sha256:8ec9a5061f78fbf4e9a990deab3dfba0608ebec35e1f0114ea3579b641ebf415

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.318854Z digest=sha256:8115e882a3d5f201998137a365b173b4a7e0aa26de3b23c22d92184b790ed7ae

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.322419Z digest=sha256:2add85e49b7c8f0da193df33520bd0ad1e22a71f2a18b9592650b0027a1e70c6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.326733Z digest=sha256:56b86bf4ec6789b875a6ad7ba45d2f662fc9b716f6218783b67481ee0dc03193

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.330210Z digest=sha256:73502d1e8f10fd458f7c3fba6ae1b4f30f310ed634ec1cea4759c47f951e5070

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.333660Z digest=sha256:4509024d55f7f8a42268c381617d2095ba13faee8eabb7696457c060efad1c84

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.337217Z digest=sha256:183a6f335c96335bf0e4db1fec0f0d7ab55d90a2e7812594b7203b754d06380d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.340939Z digest=sha256:c49f8cb2a75b808710620c5223e4a0d29639a75fe8b3a1634efb3dbec1ec3558

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.345478Z digest=sha256:4ba707631460e9fe9c2337d243b364b55054918e4f4afdca4466a4ce54a3cfd6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.349514Z digest=sha256:480487ff97359251eead7fb52237798841b1356067e5b03daf4f02da88413194

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.353276Z digest=sha256:29e8dbb7b69806af077a0d80238117d8275126c2147f8be8d4e362e8ea645daf

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.357842Z digest=sha256:f694d0971825a8c319be7f78c75f3f56f5df1d0f403816e263d4c2f703217763

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:a20f0bafcb4e267a2f37b2eb61239e37cc965fb043384481b61780aae75022f5

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:24:22.365129Z digest=sha256:70223d4f07a87841d45c206d61f0df0faef730bf25f3eecf7994fa75b764f1a5

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:beed36cd30507d7e920060639a808580802e2fbff0035f91232f9a97956fbdf9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T21:08:16.553987Z digest=sha256:1a8f423f13b4910ce87d2630693377f2131cd27058aeb509cd76ed83466f4662