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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.056830Z digest=sha256:92e5c5df39afad07b937a389fda9e653c061a823ff4c6d8fb89d45da70f3fd0f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.092076Z digest=sha256:6b6abd6b7c4b11b0cc4269c6393f39dba531aa7f0a87aa493a6dbcc76c8c2853

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.128043Z digest=sha256:be59ed4f769d3c7eaa15d7dd7629136a1b67dc45b25d23b7053345598bbac6e8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.188835Z digest=sha256:122107f3f6ca4bfd1afe5d7f278b245108ef94bf99b5cc1d5f991dcb5321d7fb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.216504Z digest=sha256:5d1e0949ee3b7f58f4df683a565904de2e3389095948b9d2ed3447755b1c2781

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.248122Z digest=sha256:0b59a7cd84759d5fc02bc06b9f57e1d35ca2a9487a0c848220bf09d23751edd7

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=sha256:12cc71cc7a0e98eb828d3b578c10f93df723abbab5ae5befea53dd02a5c92038

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.306972Z digest=sha256:45f850eae3b99b5f3398773424a6994af484e58724bb1fdd7bb05f3489556652

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.344034Z digest=sha256:7c14c800779494b1fe5e926c635877d5e86cf5ede480895aebc7257526e2ab88

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.394508Z digest=sha256:003dad118e5c675962a147d215de101cd7c92731e7b61bd0c1c8c223280c4dd8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.417528Z digest=sha256:2f3b1b743a1fa5af4872ece91c3092c1b0461671f972d9324abc774a85f6bd0e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.457750Z digest=sha256:e886ecc191437bc6aafe580e83bc0b5ba9e375d55d007d9c1a4dae090fd90227

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.488100Z digest=sha256:7afa61faee554eb866c2a5ceb5abb0ef6811f6cc8a061ea62a1c642959c104d3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.516063Z digest=sha256:4051805a1645aa53c0ddd718eb35027bfbe1c9e96784e132e337abdfa04c015b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.548060Z digest=sha256:c3823a2dd7fe25e7dc4e29e3d0976b2712b6431ef4fffd95d12d8cd9ac58d7dc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.574689Z digest=sha256:0b26479f8f0f65761fa67701cafb0d260dc07ce41dbf89c2157c065e57177850

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.609956Z digest=sha256:998048c852a0242a86601e8575c03b66b0ff97d9f3ceb5508d99d420ecdf4768

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.644022Z digest=sha256:71816936da8302f17c1e4f5d5ce3b7389ee8e12295430c9952353f6980d427c9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.692212Z digest=sha256:3e6223465ff58d3e4c02c62152a1c5b70c0f4455a0a2f2ef809a71b816ed755e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.728505Z digest=sha256:3cd4d88f31201315bc1bcb1fd261c89448ac11748436d9a3fc87ce4f8b9abc2f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.773186Z digest=sha256:c8f89053ff8e1a5955ef1b76b996dd7650a697119313f15a7464e241cfd3c875

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.805484Z digest=sha256:eff8f4067911bb0f9fc43c4cbf98f29341534a574eec879b4b5cf172a10a2a8d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.841136Z digest=sha256:6e6e76403e5f3d968af77f4ca8dca154d05a3c809b34d7a037e529826ab73e53

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.889968Z digest=sha256:ac53d773c677d2fd56564cdf5130e42620d6b71cccd997d9d9653d6c0d9438df

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.930076Z digest=sha256:615eaea2cbf2e0a49490f4c581d9da5327a5da2c37b8d0d23c061605e5cdd066

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:50.968924Z digest=sha256:214d98ab8fd03b72a2b8fa6d1f7ddfa6ecacadf8b890776b03a5fdc8ece37328

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:51.006236Z digest=sha256:7b28600af08e3276a2fb9a428f6e4e030baa8d141acbba34fe5c8966cd327f88

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:01:51.020160Z digest=sha256:c4db8d2130bb7360aab6a4772884be3b14bf600e207499f4eda8cf2a43acedad

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:da444676ed19fcecddb428712d8087b401a5c00f515b80cb566a39fbb600a7f4