Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T20:30:38.021504Z
Paper Citation Record · LEDGER
The Dirichlet spectrum
As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2412.05858.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-27T17:38:49.983205Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T23:57:28.786625Z
Reference resolution
14 of 14 outbound references displayed
- verified exact1
- verified fuzzy10
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 00587274-c188-4aeb-a9b4-31d73359801a · outbound
This paper cites an unresolved cited work.
The Dirichlet spectrum Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T20:30:38.293980Z
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.
Observation 2aecd60a-ed36-4726-8083-5a90e204317c · outbound
This paper cites Akhunzhanov and D.O.
The Dirichlet spectrum Akhunzhanov and D.O
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.278702Z
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.
Observation 70522062-a2cb-4d18-b41d-d1ff13123d91 · outbound
This paper cites An introduction to diophantine approximation.
The Dirichlet spectrum An introduction to diophantine approximation
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.262768Z
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.
Observation 4dc74758-5fb8-4cd1-b529-c4496d413cfd · outbound
This paper cites an unresolved cited work.
The Dirichlet spectrum Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T20:30:38.245574Z
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.
Observation 37a216df-5c27-4d9f-a135-b4c23da7c4ce · outbound
This paper cites Davenport and W.M.
The Dirichlet spectrum Davenport and W.M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.225927Z
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.
Observation 87fa34c6-ccc4-4715-b2ea-5fe85056ae8a · outbound
This paper cites On the Folklore set and Dirichlet spectrum for matrices.
The Dirichlet spectrum On the Folklore set and Dirichlet spectrum for matrices
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T20:30:38.070065Z
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.
Observation 02aebdd9-5ab9-4400-b60b-cc7e3bcd76a6 · outbound
This paper cites Khintchine.
The Dirichlet spectrum Khintchine
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.208876Z
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.
Observation fed2b333-4002-4a9a-bc55-9296b0d085a5 · outbound
This paper cites Kleinbock, N.
The Dirichlet spectrum Kleinbock, N
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.192943Z
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.
Observation aa3fcef8-5718-453e-992f-189210c70d71 · outbound
This paper cites Kleinbock and A.
The Dirichlet spectrum Kleinbock and A
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.177371Z
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.
Observation af1c5675-ae0a-4c8e-a7dd-0ef13099911f · outbound
This paper cites Kleinbock and A.
The Dirichlet spectrum Kleinbock and A
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.160169Z
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.
Observation 823dbe9b-93fa-4696-9358-d1d1822805df · outbound
This paper cites Kleinbock and B.
The Dirichlet spectrum Kleinbock and B
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.139310Z
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.
Observation ca7ed664-47a7-41c9-81ff-250be6b36999 · outbound
This paper cites Schleischitz.
The Dirichlet spectrum Schleischitz
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.120088Z
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.
Observation 9197a392-5c15-45d6-aea0-d2a60cfe7b39 · outbound
This paper cites Schleischitz.
The Dirichlet spectrum Schleischitz
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:30:38.101343Z
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.
Observation ebdd24de-0d87-441d-a813-06c89f86597b · outbound
This paper cites an unresolved cited work.
The Dirichlet spectrum Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T20:30:38.086722Z
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.
Pith citing papers
Observation 3b37a4d5-9d65-4b03-87bc-5c8a038f1969 · inbound
The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ cites this paper.
The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ The Dirichlet spectrum
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T23:57:28.787907Z
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.