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Paper Citation Record · LEDGER

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets

As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2504.21555.

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

pith.paper-citation-record.v1
2504.21555 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:17:28.781619Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T12:37:31.181975Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T11:46:27.226206Z

Reference resolution

31 of 31 outbound references displayed

  • verified exact2
  • verified fuzzy17
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e580aeda-1927-4e8b-a6db-75821ed423f0 · outbound

This paper cites Algom, S.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Algom, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.257457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.651961Z digest=sha256:23b0dee2d0a89f0bbc6f69fb3abac4dbdaa577f367aa5c8b14b09265b228cfcb

Observation de73160e-d7c3-44dd-b2db-a36265679a66 · outbound

This paper cites Algom, F.R.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Algom, F.R

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.242833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.656923Z digest=sha256:37e7f1d7968d02b2ba38babbf3d97293e3bce61462643ba181aa0a39d90119e1

Observation d8fcd672-dc47-4e38-a48f-ab6222a92ba3 · outbound

This paper cites Baker, A.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Baker, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.227433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.661433Z digest=sha256:5bac6540bf6d9231c410dbc41aa3921e2d283350567601c5f235bb3db6180a7d

Observation d46ac627-c6e8-4a46-8f6a-185d2ea84675 · outbound

This paper cites Fourier Decay from $L^2$-Flattening.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Fourier Decay from $L^2$-Flattening

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-16T05:17:28.665804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:17:28.665804Z digest=sha256:486ab40cd54b740e2955c21735726e7e03047fe24bf4a8396bbd66ba5ac2faaa

Observation 25d5ade6-c6b2-4e2c-903d-c7790506562e · outbound

This paper cites Beresnevich, F.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Beresnevich, F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.213299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.670867Z digest=sha256:329b5b08ae30a5365be5d71971bbd57c92dd757a4ed8b5ccda1d7899b5286e86

Observation 25f6d150-dc06-4762-9c5a-2d51e2891074 · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:29.199300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.675390Z digest=sha256:376980f42783287634fc6c5648d6ca37baba9f933f57213b3d64c05834f6e5b0

Observation f21400f0-4508-4e9e-a9d1-d93b74e2a16c · outbound

This paper cites Chernov, D.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Chernov, D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.185296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.680277Z digest=sha256:7398d3441e3867680fb7566a4c66e2ce044732bd49f6eb1b01ee1d20778ceaf2

Observation 19d00d55-17de-4e32-a69d-ce5e615b0936 · outbound

This paper cites Davenport, P.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Davenport, P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.171479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.684741Z digest=sha256:d5c740bf7a71b6bb07767e2101c397431ba29c2b56e90a01a6c8e645b192e183

Observation a578f3e4-dda5-4b9d-a154-88d3e1a4eb07 · outbound

This paper cites Dayan, A.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Dayan, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.157312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.689020Z digest=sha256:65d0d5b1e583fead0a1aa75905127501a4bbb0ef5cc004d2957456b4f86bcf84

Observation bd82b2d3-94d4-4068-968c-1e91de023e44 · outbound

This paper cites Dubickas.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Dubickas

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.142590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.693250Z digest=sha256:a85606bb79dc82ebe03bd665561c07a7cfefe421f177a37455dc4a6869ba1e1a

Observation ad33af75-8f75-4efe-9747-44c1413e8bbb · outbound

This paper cites Flatto, J.C.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Flatto, J.C

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.127173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.697337Z digest=sha256:35272fbc25b3f9b32f8b59e17180a1140c482cd2edd1d746da23f7ba0b3d5bba

Observation eccb5bf2-811a-44e0-91e4-827ad7a8c9b3 · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:29.111151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.701568Z digest=sha256:cc68fd035363121dabc045fd94a1c309f704c9d99614d6d981dd51d05f3c148a

Observation 10ee6893-8798-4e5f-82ad-0e362b0a8331 · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:29.096435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.705717Z digest=sha256:bb997c2f55c058bebe2a951ab3e73f66598513686d349b8a0069f4fb5eb01e75

Observation eb34ef2f-f5df-4861-94a3-b064d2089405 · outbound

This paper cites Hochman, P.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Hochman, P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.082107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.709972Z digest=sha256:ae57cdde88ae2cbaa55a206d19208f6df4e67a881c5efc7df5acfb67f105652e

Observation b596cd5b-42c5-464d-9bdf-d8fea7d2ed1c · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:29.066388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.714209Z digest=sha256:70e5f2d318ec26059e8184973eda2c8ce919a82e928faf1962087ca5ce74beeb

Observation e90cd617-d6bb-4ade-8594-f7c0b1ba1d53 · outbound

This paper cites Kuipers, H.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Kuipers, H

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:29.050057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.718275Z digest=sha256:b67ebc3513c85b6d37e47da80ccbe4a642e6db1f80eac322217cfd27dd9764c9

Observation 047d6d29-fc8d-4047-85bd-3c95dda9e4d4 · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:29.035410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.722435Z digest=sha256:d25384716ae9bfc987d837d4bb819950d0e4b538d067ec049298d7a8d9cc8d9f

Observation 0d183596-7e4e-4758-b02a-c9d738346513 · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:29.021430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.726591Z digest=sha256:25c26c935aa9ce528b2f0f8b541a91d1e5934ec73cf4bee9ec8393d9db487a31

Observation fff39e08-fc81-4a84-9642-57ce832edd21 · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:29.007551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.730527Z digest=sha256:f79b0e7005e4dbd13a38b53d7369218b221125dc37035bc56e788d663afb2a04

Observation fd04de2a-94b5-45b4-81f7-9f70bacee144 · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:28.993405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.734548Z digest=sha256:a004709b027e26c06772e6e39e6a2828899b12eccfd664141f83b836abd067ad

Observation 11bb397c-6140-4a5a-9aa5-5340e4ebb0eb · outbound

This paper cites Inhomogeneous Diophantine Approximation on $M_0$-sets.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Inhomogeneous Diophantine Approximation on $M_0$-sets

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:17:28.841883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.738796Z digest=sha256:183602023c5bf82562954608a24298c686e619ac5aa9358877d6d780aa945f9a

Observation ba6eff7f-e5b4-4721-9694-2aadcd4e162b · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-16T05:17:28.743449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:17:28.743449Z digest=sha256:d96760984b564c24ca581e3c3810a1704daac8b494de7000692867950843d551

Observation 6156e696-7195-4642-ba44-19da9e2a6fd3 · outbound

This paper cites Pollington, S.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Pollington, S

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:28.970139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.747908Z digest=sha256:b57ec095ba54bedfc9b544434e1b6014441a1789fc3b091b72fb6b7640a4e0b3

Observation 6a6dfde4-f7dd-484e-bf7a-a55aeba01ec9 · outbound

This paper cites Pollington, S.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Pollington, S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:28.956244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.751878Z digest=sha256:368ac89be539c4320f79c2810dbe553fb29029acb54f3ef82ee0bb001d28187e

Observation 9349ab60-0f87-4ae2-83c5-6830e1c4f4fd · outbound

This paper cites Py¨ or¨ al¨ a.The scenery flow of self-similar measures with weak separation condition.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Py¨ or¨ al¨ a.The scenery flow of self-similar measures with weak separation condition

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:28.941447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.755917Z digest=sha256:798b17f9fd9e93cf09635d2802316f70c34f719affc433574008f5ab3c41c594

Observation aa0079c1-4332-4495-9048-408358f9cea9 · outbound

This paper cites Queff´ elec, O.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Queff´ elec, O

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:28.924690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.760148Z digest=sha256:a3f28325014f376568a04c9f8e7a02cd9be4465afc2e15d0c2c190c1bc43108f

Observation ca607f41-64bd-4729-b3d2-1c4981801286 · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:28.910941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.764586Z digest=sha256:8ae23ac9be554e4a15dfa0d24e4fc7053556879271fb5bfc10a135f3e1b90d0a

Observation 58b66cb2-99a2-4a12-9aa0-943562bdade6 · outbound

This paper cites Shen, B.W.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Shen, B.W

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:28.897290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.768658Z digest=sha256:107153e37af1af98a678dedbc992bfda2476db8eae89b55cfc5a53342ed9ac7a

Observation 7c85aa82-3fc3-4cd4-bae8-fa55bdf8f313 · outbound

This paper cites Simmons, B.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Simmons, B

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:28.883714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.772948Z digest=sha256:c7590d7cb4091226e1385a3f61a30548e8cef32b5a7e081a3fe42e41874fb224

Observation d16dc7cf-1665-4f1f-81f9-c3c5bf882759 · outbound

This paper cites Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:17:28.821420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.777243Z digest=sha256:9b1f0619dd55e0b51a5309d3afb34a715b3539d206a3e90f443ea47b826d4068

Observation 72b4c44b-5b36-47b0-aeea-dcbf115b50d2 · outbound

This paper cites an unresolved cited work.

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:28.870266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:17:28.781619Z digest=sha256:475a7900bed8d13ec9a98409c2584e685a985741e12065f71dab37c6ccc15f5e

Pith citing papers

Observation 99db162d-f150-4722-aad5-d0c210e0c2f1 · inbound

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture cites this paper.

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-11T11:46:27.324835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T12:37:31.181975Z digest=sha256:a31716badf2c742254460a3e5801f80dc24d45cad3022b1455dad061f30c1d80