Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T12:55:44.253758Z
Paper Citation Record · LEDGER
Concentration of dimension in the Lagrange spectrum
As of 13 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2411.16939.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-01T16:03:13.341473Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T16:05:49.431740Z
Reference resolution
24 of 24 outbound references displayed
- verified exact1
- verified fuzzy11
- unresolved11
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 12dcf3d9-f71c-4753-be84-8299b82127a7 · outbound
This paper cites Arnoux, Le codage du flot g´ eod´ esique sur la surface modulaire, Enseign.
Concentration of dimension in the Lagrange spectrum Arnoux, Le codage du flot g´ eod´ esique sur la surface modulaire, Enseign
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.626867Z
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.
Observation fa9009cc-5d01-4204-abd7-1eab64eae60c · outbound
This paper cites Lima and C.
Concentration of dimension in the Lagrange spectrum Lima and C
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.616767Z
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.
Observation 3e56b43a-ec58-4668-9ad3-69f19f879354 · outbound
This paper cites Pesin, Dimension Theory in Dynamical Systems: Contemporary Views and Applications, University of Chicago Press, 1998.
Concentration of dimension in the Lagrange spectrum Pesin, Dimension Theory in Dynamical Systems: Contemporary Views and Applications, University of Chicago Press, 1998
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.608141Z
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.
Observation ff21f550-ca51-4df2-a2bd-4e0415a8b8aa · outbound
This paper cites Hausdorff dimension of Gauss--Cantor sets and two applications to classical Lagrange and Markov spectra.
Concentration of dimension in the Lagrange spectrum Hausdorff dimension of Gauss--Cantor sets and two applications to classical Lagrange and Markov spectra
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T12:55:44.436702Z
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.
Observation 8a125dd8-dd22-4dba-b455-4b1d7ee46c4b · outbound
This paper cites Cerqueira, C.
Concentration of dimension in the Lagrange spectrum Cerqueira, C
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.599355Z
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.
Observation 53b8ca38-da89-4d4d-9c8b-981cc66b235f · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:55:44.590143Z
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.
Observation f79d09e0-b75a-482a-8908-3f5dbf8b5173 · outbound
This paper cites Freiman, Diophantine approximation and geometry of numbers (The Mar koff spectrum) , Kalininskii Gosudarstvennyi Universitet, Moscow, 1975.
Concentration of dimension in the Lagrange spectrum Freiman, Diophantine approximation and geometry of numbers (The Mar koff spectrum) , Kalininskii Gosudarstvennyi Universitet, Moscow, 1975
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.580321Z
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.
Observation 2bb35ea6-a5fe-45ff-8474-15ecaa3d66ca · outbound
This paper cites Lima and C.
Concentration of dimension in the Lagrange spectrum Lima and C
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.570943Z
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.
Observation cc504922-06a6-4662-a7e0-73696e1e8015 · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:55:44.561671Z
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.
Observation fbd5d5ed-e0fc-4a10-8fc8-e6e8e4ded317 · outbound
This paper cites McCluskey and A.
Concentration of dimension in the Lagrange spectrum McCluskey and A
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.551725Z
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.
Observation 304b19c6-83fe-4bad-a372-f7fccfde8816 · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:55:44.541926Z
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.
Observation 9fba46fa-9f5e-49b1-a424-b0aba3350c88 · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:55:44.533250Z
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.
Observation 5b531115-c79d-4db0-b569-c373adbdeefe · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T12:55:44.220780Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 424b492c-b9bc-4a80-9840-e6af21e5c3cf · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:55:44.524004Z
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.
Observation 00ebdb25-1d99-4137-912b-6292a92c0b4d · outbound
This paper cites Villamil.
Concentration of dimension in the Lagrange spectrum Villamil
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T12:55:44.226325Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e5f4d9fc-76e3-4284-89c9-9734f8b1574d · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:55:44.514760Z
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.
Observation 864d23ad-2bf3-49ce-8345-8ccd3bdb20e6 · outbound
This paper cites Perron, ¨Uber die Approximation irrationaler Zahlen durch rational e II , S.-B.
Concentration of dimension in the Lagrange spectrum Perron, ¨Uber die Approximation irrationaler Zahlen durch rational e II , S.-B
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.505615Z
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.
Observation b34ae249-42d3-42aa-986e-c446378ce5d8 · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:55:44.494727Z
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.
Observation 351ef54b-2096-40c5-900e-1402a712e66f · outbound
This paper cites Cusick and M.
Concentration of dimension in the Lagrange spectrum Cusick and M
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.484438Z
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.
Observation aae650ec-4336-4afe-9233-41492e802007 · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:55:44.475017Z
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.
Observation 39bc8bbb-24b5-4ba6-85d6-e8f075a90cc8 · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 21
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-12T12:55:44.244509Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 467948bb-b5c8-4456-aa92-59f19b64495c · outbound
This paper cites Palis and F.
Concentration of dimension in the Lagrange spectrum Palis and F
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.465412Z
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.
Observation 72c49052-419e-48ce-a146-3a07d9ccb861 · outbound
This paper cites Ito, Number Theoretic expansions, Algorithms and Metrical observations.
Concentration of dimension in the Lagrange spectrum Ito, Number Theoretic expansions, Algorithms and Metrical observations
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:55:44.456198Z
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.
Observation 285d773d-679a-4a84-8ebd-24ce6d8af15a · outbound
This paper cites an unresolved cited work.
Concentration of dimension in the Lagrange spectrum Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:55:44.446960Z
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.
Pith citing papers
Observation 184bfa73-b603-4c2e-9159-7303fe0b9359 · inbound
Dynamical spectra for skew products with unit circle fiber cites this paper.
Dynamical spectra for skew products with unit circle fiber Concentration of dimension in the Lagrange spectrum
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T16:05:49.433234Z
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.