Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:07:54.135212Z
Paper Citation Record · LEDGER
The Minkowski chain and Diophantine approximation
As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.06157.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
25 of 25 outbound references displayed
- verified exact0
- verified fuzzy14
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3cbbbfc8-7ca6-4c33-b486-556450ea7948 · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.535483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 874ab259-21d9-4eda-8e56-d92d02aea28f · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.519739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8fb1be9f-c7a2-4a0e-9534-373a62d5fa8e · outbound
This paper cites & Chevallier, N., Hausdorff dimension of singular vectors.
The Minkowski chain and Diophantine approximation & Chevallier, N., Hausdorff dimension of singular vectors
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.505209Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f1de4e59-d2df-4484-9cda-b0a4b6392761 · outbound
This paper cites G., Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
The Minkowski chain and Diophantine approximation G., Divergent trajectories of flows on homogeneous spaces and Diophantine approximation
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.490113Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7f8b32f8-1ae5-49b0-a65e-a2d593843e3b · outbound
This paper cites & Urbaski, M., A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation.
The Minkowski chain and Diophantine approximation & Urbaski, M., A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.475588Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 71ca93c7-160e-4554-914f-5a23b4599090 · outbound
This paper cites Quarterly J.
The Minkowski chain and Diophantine approximation Quarterly J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.459724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation abae900f-0411-431e-b880-455c357f9d7c · outbound
This paper cites & Schmidt, W.
The Minkowski chain and Diophantine approximation & Schmidt, W
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.444388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2f972e0a-c068-496c-920f-8b7eff58faf3 · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.429765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1e8e4491-d55f-46fd-ac9d-444dcd1fcc25 · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.415649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 57ff2747-52f6-4a34-a527-0e5690623733 · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.401042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cd686b9a-2405-435b-a9de-909c79f2b64d · outbound
This paper cites Ann., 14, 1894, 417436; and Oeuvres, tome II, pp.
The Minkowski chain and Diophantine approximation Ann., 14, 1894, 417436; and Oeuvres, tome II, pp
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.386216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 58857fb3-857b-48e4-aa65-130d3df63b14 · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.372960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0a180dad-3382-4111-90ef-1685bf745bea · outbound
This paper cites Y., Zur metrischen Theorie der diophantischen Approximationen, Math.Z.
The Minkowski chain and Diophantine approximation Y., Zur metrischen Theorie der diophantischen Approximationen, Math.Z
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.359449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 33189cb9-4814-4dcd-8ce0-8b9f6ac5210f · outbound
This paper cites Y., ¨Uber eine Klasse linearer diophantischer Approximationen, Rendiconti del Circolo Matematico di Palermo 50, (1926), 170-195.
The Minkowski chain and Diophantine approximation Y., ¨Uber eine Klasse linearer diophantischer Approximationen, Rendiconti del Circolo Matematico di Palermo 50, (1926), 170-195
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.345780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9b801f24-8a3b-41da-90d0-a9bea81019fe · outbound
This paper cites C., Number theory and dynamical systems.
The Minkowski chain and Diophantine approximation C., Number theory and dynamical systems
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.330130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation af765fef-ddf3-46d4-8ec2-6724f8a667b1 · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.314121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d5dfe04f-67ba-47c9-ba8c-2fa04c49c4b8 · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.298142Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c9648525-dcd7-45ce-87ec-0f4269410451 · outbound
This paper cites Reine Angew.
The Minkowski chain and Diophantine approximation Reine Angew
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.282436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c21e2002-a855-475f-8a82-7f68b300cfcc · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.267260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation adbc9883-fada-448e-a224-000ce04f092a · outbound
This paper cites Notices Amer.
The Minkowski chain and Diophantine approximation Notices Amer
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.251545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d1b41ff8-1df6-4924-9be6-97ae0568e7de · outbound
This paper cites M., Badly approximable systems of linear forms.
The Minkowski chain and Diophantine approximation M., Badly approximable systems of linear forms
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.235217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 08e4e8fd-6a3d-4cc2-884a-de61ed01c1ef · outbound
This paper cites M., Diophantine approximation.
The Minkowski chain and Diophantine approximation M., Diophantine approximation
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.218743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 07642201-ee54-4209-a120-49889c713faa · outbound
This paper cites L., Lectures on the geometry of numbers.
The Minkowski chain and Diophantine approximation L., Lectures on the geometry of numbers
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:07:54.203316Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 66e48a3c-101c-4a4c-9dda-e8187ff3e487 · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.187978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3b3fcba9-e80f-4827-a6c9-3751be393e18 · outbound
This paper cites an unresolved cited work.
The Minkowski chain and Diophantine approximation Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:07:54.172267Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.