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Paper Citation Record · LEDGER

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

As of 14 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 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T19:19:11.484476Z

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

source=pdf_text observed=2026-08-07T11:01:50.056830Z digest=sha256:69659385e005f5f0bd936263c25514f07fd61ac3c6fe354f1879a3f260bcba00

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

source=pdf_text observed=2026-08-07T11:01:50.092076Z digest=sha256:0c4d81c8c5dfdf86614ee2e327ad59cc9c461cd063c3e7340b68276b291e9e2d

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

source=pdf_text observed=2026-08-07T11:01:50.128043Z digest=sha256:185aad4da734917dbbe54e259b5109362ef1f81a53ec020c67ce9bebac80bba5

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

source=pdf_text observed=2026-08-07T11:01:50.188835Z digest=sha256:948c090ca6ab5a332fd3b949653d8fda840dfed64b1bb144c72444c19f9542da

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

source=pdf_text observed=2026-08-07T11:01:50.216504Z digest=sha256:768f5088b43999de398760ee5820563e342c042c4b7f53f9e1a040e44b1fb397

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

source=pdf_text observed=2026-08-07T11:01:50.248122Z digest=sha256:653316ec194e7376fbf8cacd5b971fc9df411dd36f62f3f0ff55658d378ccdac

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:ca3d6cf09bd3a50261b2d6c84efec0bc6df9308d7fbe0e2a74146f11e5082ad7

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

source=pdf_text observed=2026-08-07T11:01:50.306972Z digest=sha256:c616950e6633f009305934f1f74931a9f170f2d631a890570214c36f1de6e6d1

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

source=pdf_text observed=2026-08-07T11:01:50.344034Z digest=sha256:e155328042ddec75d90aeb786e8fa841493cd04140030f218ebf96abbd93e345

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

source=pdf_text observed=2026-08-07T11:01:50.394508Z digest=sha256:b1f9e91197a3a2d3a08dd84f48a40a00ed2445e55ef0b8c9d55fe185e20c4367

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

source=pdf_text observed=2026-08-07T11:01:50.417528Z digest=sha256:864440bfedd33187a62c63b8f0ed5f8ac3d057a7591db5027e3ada0512fead98

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

source=pdf_text observed=2026-08-07T11:01:50.457750Z digest=sha256:d7f398f90f3bad27a6a1c3287310d353d2ae3082c8fa234a0637395adc8627e9

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

source=pdf_text observed=2026-08-07T11:01:50.488100Z digest=sha256:66a681cdf8c85f22155fb3dfb5a7507c18ef9aa5150ab05cf613929cbf8753e9

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

source=pdf_text observed=2026-08-07T11:01:50.516063Z digest=sha256:a10b6df3d895a06aa57c848ce78540d61005a4c67fedfc22d6ae75c4092e3c08

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

source=pdf_text observed=2026-08-07T11:01:50.548060Z digest=sha256:7ef1c37bd033cbc9f81e5cfcba0077eeeb7503d0073a886b929506aa9b8ccf59

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

source=pdf_text observed=2026-08-07T11:01:50.574689Z digest=sha256:1d82bee297aeea9f52ed1fef12a3f166a197847b39e025ab8c23410ac65d4097

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

source=pdf_text observed=2026-08-07T11:01:50.609956Z digest=sha256:b2c0591fdee3b665c0f75b3035226951c32a169c9366f17c0ca38a7a6651a7f7

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

source=pdf_text observed=2026-08-07T11:01:50.644022Z digest=sha256:9cd8c6d20721880c121b8f824c5142dcf3fb1e7306069943d6538cc47ae5fe1b

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

source=pdf_text observed=2026-08-07T11:01:50.692212Z digest=sha256:e311e4c266ccaefa3dab58ca43bbf79260c6b3a12592c752fad89810554d2bf4

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

source=pdf_text observed=2026-08-07T11:01:50.728505Z digest=sha256:5dabf10c07fe911364630a7dd0ed6739d690122ba2fb955a8fe9c331879c2856

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

source=pdf_text observed=2026-08-07T11:01:50.773186Z digest=sha256:f4956a49b09b6a7171c5ca3f0490ae783d307d1d092ec4ba3b0119a2ddd1ad0b

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

source=pdf_text observed=2026-08-07T11:01:50.805484Z digest=sha256:72c7e2d369f10dfc4e7fed49c87c98b03b6fcd659c0f6e6b11bf6f71f9278282

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

source=pdf_text observed=2026-08-07T11:01:50.841136Z digest=sha256:fe32658455a1f8409433300c886a0dc129ae78b4a8f23f3f92a2c3e8bb23840a

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

source=pdf_text observed=2026-08-07T11:01:50.889968Z digest=sha256:181b4e6554d2014ee69bcde22de7d8f5ea82d043f975d751e5e9722a1ee8cebe

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

source=pdf_text observed=2026-08-07T11:01:50.930076Z digest=sha256:2cdf13d0c92eb3b1d05118861614a71cfef45859be27b25565d6b1c3f204a261

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

source=pdf_text observed=2026-08-07T11:01:50.968924Z digest=sha256:481ad912fcac0437c68356024bd69323d66eac7c95806af46bd0ba2d159233c4

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

source=pdf_text observed=2026-08-07T11:01:51.006236Z digest=sha256:0171ae2320500c7ff611559ad3640c7ffd122d972b645306c16d304e40c98e23

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

source=pdf_text observed=2026-08-07T11:01:51.020160Z digest=sha256:a4f58dd6744a4c504ec2efb426820e00925bee837bef0bdf2298beef6d2aae06

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