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Paper Citation Record · LEDGER

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation

As of 6 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2605.21275.

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

pith.paper-citation-record.v1
2605.21275 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T17:10:47.714040Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5d964a1b-5d61-42b6-a8e2-37857c34d189 · outbound

This paper cites Akhunzhanov and D.

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation Akhunzhanov and D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T10:34:51.362752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T17:10:47.714040Z digest=sha256:216b36ae9044a3d66849f19e5a2e1c6f9b6fd1622ee357f375bf822907d3a52b

Observation bb328edc-47fb-4c2e-819b-ac450e1ef7fb · outbound

This paper cites Diviˇ s and B.

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation Diviˇ s and B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T10:34:51.364535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T17:10:47.714040Z digest=sha256:26f344cb794e946402c150d9a999db9b0ce75b22f0f1f91f38f1e2f8cd4004f9

Observation 6e35c6c3-2952-4f5f-81a5-a341c8887d62 · outbound

This paper cites Hall, Jr.,On the sum and product of continued fractions, Ann.

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation Hall, Jr.,On the sum and product of continued fractions, Ann

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T10:34:51.357416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T17:10:47.714040Z digest=sha256:74f8c74d6876f742dd9c3bf14e9905c33139d189747841de265e186f18b21f20

Observation 5c156a8f-3985-434a-927b-24cff0c0292a · outbound

This paper cites an unresolved cited work.

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-08T10:34:51.359374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T17:10:47.714040Z digest=sha256:61ce5b9446b29e6f8691953f94e8b5dce3f962ad5d8e5db2297440738081d3c1

Observation afc16b8a-75b8-4d33-b8e8-cc3fab0ceb0a · outbound

This paper cites Lesca,Sur les approximations diophantiennes a une dimension, L’Universite de Grenoble, PhD Thesis (1968).

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation Lesca,Sur les approximations diophantiennes a une dimension, L’Universite de Grenoble, PhD Thesis (1968)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T10:34:51.353532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T17:10:47.714040Z digest=sha256:2810c8446e7d29021160b3fb287ce32d8277ece8a7c08e9bcd07bcb642306b33

Observation 02e05f58-03de-42f9-aeae-f2e42ebb3988 · outbound

This paper cites Morimoto,Zur Theorie der Approximation einer irrationalen Zahl durch rationale Zahlen, Tohoku Math.

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation Morimoto,Zur Theorie der Approximation einer irrationalen Zahl durch rationale Zahlen, Tohoku Math

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T10:34:51.351610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T17:10:47.714040Z digest=sha256:4a9e76d3f9ebfe69fb054dcdc153830be07c81db317291f1109a0d12dff25726

Observation db9fee22-8cd4-4c3f-907a-2c82d56e4bf0 · outbound

This paper cites Pitcyn,On the discrete part of the Dirichlet spectrum, Ramanujan J.

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation Pitcyn,On the discrete part of the Dirichlet spectrum, Ramanujan J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T10:34:51.355438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T17:10:47.714040Z digest=sha256:8d32db5fa3a5e7ce4935e884af33a3e970dcd7bf81bdc4d4fd951d400052c6f9

Observation f6669ba1-e1b7-4ee8-88dd-74259a9af8db · outbound

This paper cites Szekeres,On a problem of the lattice plane, J.

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation Szekeres,On a problem of the lattice plane, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T10:34:51.361141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T17:10:47.714040Z digest=sha256:35baeffb72e5d51f2f92d1aa4fb50912af77ca064ee0b8e6f82681fa8c9f7f38

Pith citing papers

No inbound Pith citation observations are available.