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Paper Citation Record · LEDGER

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2604.22689.

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

pith.paper-citation-record.v1
2604.22689 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T10:05:41.222298Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

  • verified exact3
  • verified fuzzy9
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8384d71-ea32-42a0-bc9d-fdb4a0385869 · outbound

This paper cites Allen and F.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Allen and F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T15:32:35.852736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:e2ed6f6bea96dd3a3876c18726e3e9b940b9ec1709528d4422410a8b1a861f2e

Observation ca7406fb-d9d7-458e-b835-d4babcdccaa2 · outbound

This paper cites Allen and F.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Allen and F

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T15:32:35.862992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:98c40c7d0d1d80536485c09bcba57738dbd4d0ecbc77159d93318709c366f89a

Observation 36c4fea0-4a77-4f96-88c9-0eb94b61b29e · outbound

This paper cites Beresnevich, D.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Beresnevich, D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T15:32:35.848729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:6c16cbba783b292223e33e82eaaa95986c186bb35a24df929651d0882a9baa97

Observation 7a66a9bc-4adc-4e3c-a808-b9c36ac1d96b · outbound

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

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-11T20:11:10.456353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:ec22ef03b205a1e6ec7c46fc7379cf2746a780ccc45754230055af64738970b4

Observation aa7b5e20-bb62-438d-95d6-92d0c0010d25 · outbound

This paper cites Beresnevich and S.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Beresnevich and S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T15:32:35.844637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:ef08aed5d6bd37905e3e08dd36dc914f4c65d91d16dda346917be0386339bfa6

Observation acaf57fd-d28b-457a-ad39-2ae40fe5c1ef · outbound

This paper cites General Duffin--Schaeffer-type counterexamples in diophantine approximation.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay General Duffin--Schaeffer-type counterexamples in diophantine approximation

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-11T20:11:10.488246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:729b22232babc5ac8ee5b552a2b2960123c86cd46cad53d584b4b3be4835755e

Observation d4d78c7d-e35e-423c-926b-6aacf27cb309 · outbound

This paper cites Chow and N.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Chow and N

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T15:32:35.840816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:4f1b663461d0b64da2518fe2bcaaf994ef7eb3ecda143fae544bfa59618a6027

Observation 1b71d734-8f58-4ccb-98b2-14e0fbc23273 · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.856231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:d6da92e03b7339e9554d00bce1415e51c5fc6c80718ca01ab63d30f222bae496

Observation 6eb2b921-d6a8-44db-9ec7-5db7021be5ab · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.859481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:74642dfcb54bb87ff4056df7e5c0f746431b3a49fc14810066e6b210f630eeff

Observation 21766e6a-f538-45d7-ba9f-c9cf8fb1a79e · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.877420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:c47659ce0b707a0d96e6b3eb5a0908670a9f4be57ff7826f44cab54e3a2fcd1e

Observation 4387ab52-0574-44f5-866e-33431d2326f2 · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.870587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:1aa8876d1517d659636924428fe39254f5424c83258c65ac11af6bfd4d6f5a05

Observation 004e6c31-95e2-4ad0-93e8-a6141ed0ec5f · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.866797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:31853f305ccd6cf965e287861b34418fec56c4716536e98e4142dbcdc768478b

Observation abfe16c6-bdfb-47b4-a0bb-7e0763e24b47 · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.873728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:916ea0200983c71d9b9b89cb8a0b224e85a2f74aefdd5f600a58e97a3bba72ed

Observation c19ed969-aec1-4c72-89a6-4ade168df6c4 · outbound

This paper cites Khintchine.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Khintchine

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T15:32:35.900294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:27e7e902670c4e82ec386cd749b3488e67c499e743b23199af18b226553d3024

Observation 3fa8c4af-4f99-48b9-9434-2c401a81a972 · outbound

This paper cites Khintchine.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Khintchine

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T15:32:35.897154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:8c12c695d2796133f5fdc63c84e238be7eaf691289d5ebeb589220798f8a00d0

Observation c6121d84-9086-49e2-8ba2-5085c8801a62 · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.913371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:8a2eb44239577a2d42ee1f6cfa7a4821dba9c0facd4bc07e21a8d92fb6f2f539

Observation ea8388c2-f8b4-4e95-83da-be2f12a674e5 · outbound

This paper cites Koukoulopoulos and J.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Koukoulopoulos and J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T15:32:35.903513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:1701bc2986f79a5ee88c85bfd8b1a4af36cfbf203cd19112b43083fe933fbc82

Observation 6206ff99-12dc-4371-8155-570240ede64a · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.893544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:d0db0b9bf3f1f37567ec54c8e5aa38b78c867a5ff822abf031cc2dbb178ea0f8

Observation a7932741-c9d2-4af0-ba2b-bc08448d91d5 · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.884223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:8b43c352db93730f685b9baf987d4185536f6225c131fa91e5eda036f3e46ffb

Observation 768d0cc4-dda5-40f8-b891-cb20c0c31d8c · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.880946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:74cea1f5e2784c7fba965dcebaf8863beae75abb90bde2a07ade5a00d8fb51fd

Observation 8f3bcd1b-faa0-4c8c-8f9a-a3155ce64ee9 · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.890594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:062ef1d261a5ac6b0a83b413c89dc6df1935dabc6f6d81ac0b4ad82c4e849dc5

Observation eda95af9-bc10-44ea-b623-bf7e852c09ed · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.887345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:429c5ce72d4ea01ab795b8c30deb83743c2fc51a40097d87380943b8514ebce7

Observation 1fc8248c-7fa0-49e7-b8d9-f0d6b3e14b54 · outbound

This paper cites Sz \"u sz.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Sz \"u sz

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T15:32:35.906491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:6ae34de2dd7ebcc008c2f0efeb4ddcc5e32c85bd006100db51dfbe9055fca05f

Observation db3f29a2-cb14-479e-8141-816d7cf7ff9a · outbound

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

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-05-11T20:11:10.472358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:ffb3ee56d8186ee23684d2e3d11cea216ae6ee9b1aba24422e812ac27702a651

Observation 4a174738-fe22-4ea1-b20b-1c2c57402c37 · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.836770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:d59697a7dbf76c380e6219b7266eb93e462084b11726e61aea72d2f15cdce088

Observation 6b007fe2-e926-4f96-a514-03eb11e89a15 · outbound

This paper cites an unresolved cited work.

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-26T15:32:35.910029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-08T10:05:41.222298Z digest=sha256:4f27ec80fb15cf7c6e1bf0a15a9704fb4a9e138e5f55f294f05e70f46d505b6f

Pith citing papers

No inbound Pith citation observations are available.