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Paper Citation Record · LEDGER

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target

As of 17 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2506.04187.

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

pith.paper-citation-record.v1
2506.04187 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:01:51.020160Z

measured 29 of 29 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 2026-07-30T19:19:11.484476Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7dea8952-b90d-437f-a493-0d90659c184a · outbound

This paper cites A note on the Duffin–Schaeffer conjecture with slow divergence.Bulletin of the London Mathematical Society, 46(1):164–168, 2014.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target A note on the Duffin–Schaeffer conjecture with slow divergence.Bulletin of the London Mathematical Society, 46(1):164–168, 2014

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:53.763079Z

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=2026-08-07T11:01:50.056830Z digest=sha256:6f0a7b6e5f0263136f6e3ae2bbe0e9211c3172bcdc09dd394e1947888b8bdc78

Observation fb865500-7fc8-4549-8e51-81679ad58a34 · outbound

This paper cites The Duffin-Schaeffer conjecture with extra divergence.Adv.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target The Duffin-Schaeffer conjecture with extra divergence.Adv

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:53.699985Z

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=2026-08-07T11:01:50.092076Z digest=sha256:70c0a8241a5b99404610185e4a23ca89b90766d5e97ed4d763611bf2e0ef5520

Observation 732840e1-eea4-40a0-b3c9-2cd2b0cd6ab7 · outbound

This paper cites Allen and F.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Allen and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:53.619808Z

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=2026-08-07T11:01:50.128043Z digest=sha256:f01e54a3c5bd2911079f4ff9a273c3cf9b91b9e3986dc6b69601bdeebbf93115

Observation 59e66076-9661-4251-af4d-fa494206a89e · outbound

This paper cites Allen and F.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Allen and F

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:53.549165Z

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=2026-08-07T11:01:50.188835Z digest=sha256:3c742e05bdb00bad1daa4ea5258cf31e1d80df62e94d2b0acae289aabc2d8a20

Observation 5f6be756-eef1-45b8-84aa-577c5960127c · outbound

This paper cites Beresnevich, D.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Beresnevich, D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:53.495850Z

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=2026-08-07T11:01:50.216504Z digest=sha256:91b2cbd2a08d758bb8c73f846b44e7bf0b44ebe291c30e0f73d7d3f9ba0cc645

Observation 8624dfd2-811f-4636-9859-395c6e25f1e5 · outbound

This paper cites The Duffin-Schaeffer conjecture with extra divergence II.Math.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target The Duffin-Schaeffer conjecture with extra divergence II.Math

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:53.389030Z

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=2026-08-07T11:01:50.248122Z digest=sha256:8a84f0c789b31cc5d8d5e5d486d72a245a2065dae9730d7a6bc9735f9ba8b1f5

Observation 2287ce6a-3a07-4bb7-8453-cc6ab1e8c2cc · outbound

This paper cites Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T11:01:50.272321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:01:50.272321Z digest=sha256:cf80b5c15e6e2904888070c3db40b6766b6ef51ac9ffe519d813b630ba02019f

Observation 270909f2-65b5-4d4b-884d-2e8d5328c550 · outbound

This paper cites A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures.Ann.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures.Ann

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:53.327522Z

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=2026-08-07T11:01:50.306972Z digest=sha256:d318d25e400b74dd2f45f7b5d66c8f5f933a5d616801456fd4a5110ba74ef776

Observation 4a04f910-a4a3-4f30-ad11-803a1dc5dac9 · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:53.274607Z

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=2026-08-07T11:01:50.344034Z digest=sha256:c05e650b4225ff1d7590f7587823d3b4558088512366f168dcfaa74e4e0c9e64

Observation 4d4d8efb-af44-402a-ad25-7fe5b8b5465d · outbound

This paper cites Littlewood and Duffin-Schaeffer-type problems in Diophantine approx- imation.Mem.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Littlewood and Duffin-Schaeffer-type problems in Diophantine approx- imation.Mem

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:53.182993Z

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=2026-08-07T11:01:50.394508Z digest=sha256:31ae51a9beee0b8edc1fab8f34173ec655a503888b5ad1196c27fc2ced2d2420

Observation d1c5363a-0cd5-4d9b-9783-06ecc7a61cc4 · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:53.094642Z

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=2026-08-07T11:01:50.417528Z digest=sha256:f94b7f5ca2a64dfe79facf358628945e3e71f10792d3b9019889bfedb92d5ed6

Observation 71e6221f-94fa-4d1c-9dad-0e9f140b6b3d · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:52.986537Z

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=2026-08-07T11:01:50.457750Z digest=sha256:f6255d55bd8366b5c892c92ecf26ec3fbc9db993246d44e615178c2372b80f1a

Observation 0a3c4298-d386-4352-a96e-fa1ec621e30d · outbound

This paper cites Erd˝os and A.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Erd˝os and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:52.882456Z

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=2026-08-07T11:01:50.488100Z digest=sha256:5233bdb475c18e8efbd6725b55e47d8996ef9ce29e1dac3e173254b43cc5fdc5

Observation 80875100-f2ea-4664-b6c7-331cb1e20532 · outbound

This paper cites Approximation by reduced fractions.J.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Approximation by reduced fractions.J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:52.820092Z

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=2026-08-07T11:01:50.516063Z digest=sha256:b4fccc7d02c0b68e5f522b14a8842e1231704b986565de76f98307ab0d4f6396

Observation 3332381e-de31-46eb-922e-371d7bd67fdd · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:52.570756Z

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=2026-08-07T11:01:50.548060Z digest=sha256:94bbadcb8c723d34548b191135ac65ebc0fb248f709b091a3a44d20f05aa4e6b

Observation 913ca052-fb74-489e-a356-801ea4574096 · outbound

This paper cites Harman.Metric number theory, volume 18 ofLondon Mathematical Society Monographs.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Harman.Metric number theory, volume 18 ofLondon Mathematical Society Monographs

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:52.427028Z

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=2026-08-07T11:01:50.574689Z digest=sha256:511a380fd41f00f0e19ecf4306c6fb8f0ef419403251018c376036713a45f2fb

Observation 8595bbc7-ddf9-44ac-8078-7b6bdccffaa4 · outbound

This paper cites Hauke and F.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Hauke and F

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:52.311947Z

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=2026-08-07T11:01:50.609956Z digest=sha256:3921ff75f16534c877302e1f1384b841b66a9f3b6b7ef8a3b1d66c1e1ec08fb8

Observation 9c4ebbcd-dcba-453d-af5c-4715f5dd4fdf · outbound

This paper cites Haynes, Andrew D.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Haynes, Andrew D

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:52.217805Z

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=2026-08-07T11:01:50.644022Z digest=sha256:a675a06b29a84445f5539a4524c671cf8c91de45d14551dcd5c51486e68a0988

Observation 6f09802f-b4bd-4171-8fea-936254cd5ac4 · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:52.118870Z

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=2026-08-07T11:01:50.692212Z digest=sha256:211676e98c5331a2de66e18dc0fbc22fc99e8712f0f9e82b31690e6b87c8fa2b

Observation 11a1344c-73f6-4486-a0f1-f54fda9e3d48 · outbound

This paper cites Koukoulopoulos and J.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Koukoulopoulos and J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:52.025254Z

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=2026-08-07T11:01:50.728505Z digest=sha256:11ebdfd3fa3be5672efabaf966bcb218ebca3df8c72f31b09797f77aa4ce44b5

Observation 7c0a4359-7e24-4da0-969a-aa760de660a2 · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:51.929288Z

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=2026-08-07T11:01:50.773186Z digest=sha256:9e1598e5489080a1eb2a23103106bc8aae7983bceabfc589e2ae5e5030470955

Observation 0881ead9-0724-4ef5-8b2c-c7ea95a9adee · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:51.833479Z

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=2026-08-07T11:01:50.805484Z digest=sha256:cf11f30b91b440f25593143f3e6c79381805c65f73c7c4520e59ca54610301e2

Observation c468cc46-7775-4eca-9e57-abb3d344f98c · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:51.701003Z

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=2026-08-07T11:01:50.841136Z digest=sha256:876293910207245561dd61579eaada8e425eba028f22b97f1cba40811318ab41

Observation 5375d087-51bd-4616-a674-78025457f63f · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:51.581598Z

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=2026-08-07T11:01:50.889968Z digest=sha256:4a90bf2a9d48de229ea67f31dd465ac3cedc7b70a34a83d3ab116e438f007c0a

Observation fa23bcde-85ed-49c7-957c-3098605c451c · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:51.481021Z

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=2026-08-07T11:01:50.930076Z digest=sha256:668e49258aabbc9b44df2eb0c931e4dc9d5452240ba674fb0d3591ea368e4c72

Observation 9d0cd782-7121-4824-b91f-270da66e7871 · outbound

This paper cites Cambridge University Press, Cambridge, french edition, 1995.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Cambridge University Press, Cambridge, french edition, 1995

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:51.351417Z

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=2026-08-07T11:01:50.968924Z digest=sha256:c2ca43599baecec1d0bf67e915d65cd06062e1d7f274eb1bba4a641189e77ca5

Observation 46a3354f-433f-43cb-8e90-60f6e5fb6762 · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:51.255258Z

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=2026-08-07T11:01:51.006236Z digest=sha256:7368259ee36a076b5d31b0b1127f3f155b72f52e72509ebd034b4b6c72daad89

Observation 72caa235-c2a1-43f4-ae31-66949a25584f · outbound

This paper cites an unresolved cited work.

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:51.177363Z

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=2026-08-07T11:01:51.020160Z digest=sha256:2c5a16f688b575ef9bd30e9fc39ee8fd3ec30f49cfdbbdb3c4df171e6a8f92a6

Pith citing papers

Observation c1ae7d21-42b9-479d-8392-06ef56ff5610 · inbound

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search cites this paper.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target

Reference 23

Resolution
unresolved
no resolver link, observed 2026-07-30T19:19:11.484476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T19:19:11.484476Z digest=sha256:6c2ddadbe6d19ca93251c8b797ea7c2284f5c380095dc63ff91c73e211c054f4