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Paper Citation Record · LEDGER

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$

As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2411.18439.

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

pith.paper-citation-record.v1
2411.18439 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:20:36.230727Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff971ba6-9dc2-486b-bf61-cd5b7928ae8b · outbound

This paper cites Hausdorff dimension and exact approximation order in $\mathbb{R}^n$.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Hausdorff dimension and exact approximation order in $\mathbb{R}^n$

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T11:20:36.178859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:20:36.178859Z digest=sha256:d4e246ada61af3a474eefb680e061991084996d1442b579b0139443961dd4ad5

Observation 9083d644-49c8-43bb-bb90-44213878cb11 · outbound

This paper cites Beresnevich and S.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Beresnevich and S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.408812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.183036Z digest=sha256:fd9d7c1582b570a74d01c36c1e72902377926f399d5b217a580e0cb5859862cc

Observation 2f0dc9a8-17e2-4808-bc35-15b6346cb005 · outbound

This paper cites an unresolved cited work.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:20:36.398438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.186230Z digest=sha256:9e2a060949fff2600212a28fbcd29d27f670acdba235ec32da786d3c80c2ba75

Observation add05b9a-adfd-4388-ace4-4ad71ce82eaf · outbound

This paper cites an unresolved cited work.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:20:36.388129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.189416Z digest=sha256:9eb0f65958006bed3cd6c08b6c7898428c8a605b156e8c2893e82eda5df7aaca

Observation 79fe6b80-558e-4235-8ac9-8fdf60611a77 · outbound

This paper cites Bugeaud and C.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Bugeaud and C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.379068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.192973Z digest=sha256:8bf6d2e3175906567ee4c76830b0d018652160d625203a8343827988589c936a

Observation baadf660-535e-4d13-8994-5d148fa05e4e · outbound

This paper cites an unresolved cited work.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:20:36.369578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.196423Z digest=sha256:3479ff71727213d82c6ec6619ceffa4966378d699818a4e075b0cc3c644f1348

Observation cd05ef9c-e6f2-4c8c-b36e-65e79d0763f9 · outbound

This paper cites Duffin and A.C.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Duffin and A.C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.360428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.199810Z digest=sha256:de28c0ed1e917251a0a87bb64110d730bc9e09d03403c89b0e48008f955bda46

Observation d7159652-1d82-48e1-880e-806e9e7dc076 · outbound

This paper cites Falconer, Fractal geometry.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Falconer, Fractal geometry

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.350346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.203253Z digest=sha256:c093b01ff074270657e9e20da02d9049be97cbc191183bf3de26ef3279b66748

Observation 26cdda32-a57c-435e-97aa-8004c1fdd9dd · outbound

This paper cites an unresolved cited work.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:20:36.340728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.206166Z digest=sha256:ebc1095ff7220a02f1e7604fbf052deac3f81675c23fd42e1d9e5dbe7dccecd1

Observation f4d1c0eb-38f5-4324-bb86-392787dd7aa1 · outbound

This paper cites Gallagher.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Gallagher

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.330903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.209805Z digest=sha256:69737b4b6d36b8381c86b0c960966a21e4090a9c9f78b00ad3597c7f57b66ed1

Observation c686ddc9-3c8c-4f3d-a74e-3b95516569fa · outbound

This paper cites Hinokuma and H.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Hinokuma and H

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.322185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.212799Z digest=sha256:88f55dd13bfe187005faede331f22fd3a7f513795b8474e353188070b80477d7

Observation e5fa4743-839b-49bf-991d-65ab2e729b1c · outbound

This paper cites Jarn ´ ık.¨Uber die simultanen diophantischen Approximationen.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Jarn ´ ık.¨Uber die simultanen diophantischen Approximationen

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.312044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.215867Z digest=sha256:70d8ddd33619822a2c604cd8ce3b6eeb2431badb2669d989fbfc8117e24335c2

Observation f836f536-0b13-46ff-bca7-7ec25c94be31 · outbound

This paper cites Khintchine.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Khintchine

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.301190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.219147Z digest=sha256:c3e8c14aa6b737aa0be1810a3c70acd7bfa693c1a2c72fa39c4b86075b08efd8

Observation e514866e-1fbd-4455-8934-d5448fbd5cfe · outbound

This paper cites Koukoulopoulos and J.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Koukoulopoulos and J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.290982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.222216Z digest=sha256:decfc6f7331fcaa9d74a0e996909fafbd8bccfaa926f76e8558a6d61d0fde1a1

Observation fb38e13b-909c-4721-95cc-0802c6d57d2b · outbound

This paper cites an unresolved cited work.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:20:36.281194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.225111Z digest=sha256:b1ac9332300a68696975efc5b4329bd7da5a006fb064a078d626261490dc4467

Observation 1331c421-3114-4548-ae51-68dac2d30325 · outbound

This paper cites an unresolved cited work.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:20:36.271557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.227848Z digest=sha256:be32a4bc34bc3000e896745b0c365eb1314d6a3e38c1cd9c2fb164cbd5089593

Observation 75928cab-18d3-4593-a132-6b862fa9e8fb · outbound

This paper cites Schmidt and L.

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$ Schmidt and L

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:20:36.262183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:20:36.230727Z digest=sha256:4b3639397a9dec17c49f120ac0eeb0f925f22cb66d2965f1e2fa41e63049abb0

Pith citing papers

No inbound Pith citation observations are available.