Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:18:15.536760Z
Paper Citation Record · LEDGER
Approximation of the Lagrange and Markov spectra
As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.03773.
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
24 of 24 outbound references displayed
- verified exact1
- verified fuzzy16
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d4360c01-e20c-47bf-ab71-e4ed7f366565 · outbound
This paper cites Bender, J.
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:16.023608Z
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 aee4fd06-2be8-44f9-b5b7-9a0b90c7d9d3 · outbound
This paper cites an unresolved cited work.
Approximation of the Lagrange and Markov spectra Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:18:16.002914Z
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 412354f4-4d24-4100-bcca-d8e0a05503b8 · outbound
This paper cites Cusick and M.
Approximation of the Lagrange and Markov spectra Cusick and M
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.978388Z
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 ae847619-2eb3-4b11-a668-43f88b45b0ae · outbound
This paper cites Bradshaw, S.
Approximation of the Lagrange and Markov spectra Bradshaw, S
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.958820Z
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 cbb9a3f9-e31f-415e-8962-8c2cd83b3fc5 · outbound
This paper cites an unresolved cited work.
Approximation of the Lagrange and Markov spectra Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:18:15.937817Z
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 0b6ccf60-790e-4c10-aa77-63ba259f23b5 · outbound
This paper cites an unresolved cited work.
Approximation of the Lagrange and Markov spectra Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:18:15.914000Z
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 3abfa111-aed9-4fe8-81c6-761d2e3ecb1e · outbound
This paper cites an unresolved cited work.
Approximation of the Lagrange and Markov spectra Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:18:15.895916Z
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 f454e6ac-3632-478e-b1d5-83acc3515e18 · outbound
This paper cites Haeupler, T.
Approximation of the Lagrange and Markov spectra Haeupler, T
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.879731Z
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 ea06ee7a-171e-474e-b3a9-e1fa2f6853c4 · outbound
This paper cites Kavitha, R.
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.863023Z
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 023ac481-1793-4610-91d2-018adef0dd43 · outbound
This paper cites Hensley, Continued fraction Cantor sets, Hausdorff dimension, and functional analysis, J.
Approximation of the Lagrange and Markov spectra Hensley, Continued fraction Cantor sets, Hausdorff dimension, and functional analysis, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.839454Z
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 729c82fc-1fae-42ea-8438-5a6cc9bcb292 · outbound
This paper cites Hensley, A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets, J.
Approximation of the Lagrange and Markov spectra Hensley, A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets, J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.820979Z
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 22eb1568-173a-454c-8515-79b83b47822b · outbound
This paper cites an unresolved cited work.
Approximation of the Lagrange and Markov spectra Unresolved cited work
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:18:15.462163Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40262ce1-b4f0-42a7-a799-52fa34c5933f · outbound
This paper cites Jenkinson, On the density of Hausdorff dimensions of bounded type continued fraction sets: the texan conjecture, Stochastics and Dynamics, vol 4, No 1 (2004) 63--76.
Approximation of the Lagrange and Markov spectra Jenkinson, On the density of Hausdorff dimensions of bounded type continued fraction sets: the texan conjecture, Stochastics and Dynamics, vol 4, No 1 (2004) 63--76
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.802095Z
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 5b6fa9d2-27a2-41b4-9104-3515d9f9ed58 · outbound
This paper cites Jenkinson and M.
Approximation of the Lagrange and Markov spectra Jenkinson and M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.783816Z
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 a5cfdc85-6df0-42b5-8d1e-09657482d5bf · outbound
This paper cites Jenkinson and M.
Approximation of the Lagrange and Markov spectra Jenkinson and M
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.765274Z
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 ef6b7149-f391-496b-8cfc-64499b51507c · outbound
This paper cites Markov, Sur les formes quadratiques binaires ind\'efinies, Math.
Approximation of the Lagrange and Markov spectra Markov, Sur les formes quadratiques binaires ind\'efinies, Math
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.748708Z
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 ce87e0ad-3692-4853-b969-4aec6878798f · outbound
This paper cites Markov, Sur les formes quadratiques binaires ind\'efinies II, Math.
Approximation of the Lagrange and Markov spectra Markov, Sur les formes quadratiques binaires ind\'efinies II, Math
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.731542Z
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 50ffc3c4-ca5b-4038-872a-5fd90a56f250 · outbound
This paper cites Fractal geometry of the complement of Lagrange spectrum in Markov spectrum.
Approximation of the Lagrange and Markov spectra Fractal geometry of the complement of Lagrange spectrum in Markov spectrum
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:18:15.603649Z
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 1a7dce3c-ffe7-4f52-ab6d-19b939c1ff5f · outbound
This paper cites an unresolved cited work.
Approximation of the Lagrange and Markov spectra Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:18:15.715003Z
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 d77e8fca-1ec4-41f5-bc21-cabd27cdecbf · outbound
This paper cites Morrison, A glimpse of the Markoff spectrum, preprint 2012 available at https://dca.ue.ucsc.edu/system/files/dca/2012/193/193.pdf.
Approximation of the Lagrange and Markov spectra Morrison, A glimpse of the Markoff spectrum, preprint 2012 available at https://dca.ue.ucsc.edu/system/files/dca/2012/193/193.pdf
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.696998Z
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 9f7ca832-3f29-4222-ac9d-724689277b8b · outbound
This paper cites Perron, \"Uber die approximation irrationaler Zahlen durch rationale II S.-B.
Approximation of the Lagrange and Markov spectra Perron, \"Uber die approximation irrationaler Zahlen durch rationale II S.-B
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.676904Z
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 93bb4bb1-75b3-4d86-87b7-a221ca01490f · outbound
This paper cites Palis and F.
Approximation of the Lagrange and Markov spectra Palis and F
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.658903Z
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 0660e7a8-e96f-4b36-9bc2-8979dd4053d6 · outbound
This paper cites an unresolved cited work.
Approximation of the Lagrange and Markov spectra Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:18:15.640335Z
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 fa56a668-63e0-4930-874b-8662168c7a31 · outbound
This paper cites Schecker, \"Uber die Menge der Zahlen, die als Minima quadratischer Formen auftreten, J.
Approximation of the Lagrange and Markov spectra Schecker, \"Uber die Menge der Zahlen, die als Minima quadratischer Formen auftreten, J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:18:15.622995Z
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.