Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:23:47.803086Z
Paper Citation Record · LEDGER
Pinched Arnol'd tongues for Families of circle maps
As of 22 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2506.02988.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:42:30.181671Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-15T18:42:30.319894Z
Reference resolution
24 of 24 outbound references displayed
- verified exact0
- verified fuzzy15
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7aa92bb8-544a-4603-b9cf-5d7f48d35201 · outbound
This paper cites On conjugations of circle homeomor- phisms with two break points.
Pinched Arnol'd tongues for Families of circle maps On conjugations of circle homeomor- phisms with two break points
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:52.637714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8f99fb06-7f6b-4d70-a08e-6a11fa6eb163 · outbound
This paper cites Monotonicity of the entropy for a family of circle maps.
Pinched Arnol'd tongues for Families of circle maps Monotonicity of the entropy for a family of circle maps
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:52.486989Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ec434f0e-7e68-45e4-8a81-77971bc0a5f8 · outbound
This paper cites an unresolved cited work.
Pinched Arnol'd tongues for Families of circle maps Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:23:52.318440Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 13dc6455-3f1f-4053-9c8e-f2c7b720696e · outbound
This paper cites an unresolved cited work.
Pinched Arnol'd tongues for Families of circle maps Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:23:52.151677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1241bce7-0cd4-4610-a5a3-2cbbcd51e2e2 · outbound
This paper cites Campbell, Roza Galeeva, Charles Tresser, and David J.
Pinched Arnol'd tongues for Families of circle maps Campbell, Roza Galeeva, Charles Tresser, and David J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:51.998659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation baa65828-4e08-4574-9e3e-bc48b7a14f39 · outbound
This paper cites Nombre de rotation presque sˆ ur des endomorphismes du cercle affines par morceaux.
Pinched Arnol'd tongues for Families of circle maps Nombre de rotation presque sˆ ur des endomorphismes du cercle affines par morceaux
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:51.739463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4e9f6da8-4320-4870-a3b8-bc373bb4ffc8 · outbound
This paper cites Almost sure rotation number of circle endomorphisms.
Pinched Arnol'd tongues for Families of circle maps Almost sure rotation number of circle endomorphisms
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:51.518803Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1b21282b-dd5e-4507-b3af-0aef0bba8a08 · outbound
This paper cites A remark on Denjoy’s inequality for PL circle homeomorphisms with two break points.
Pinched Arnol'd tongues for Families of circle maps A remark on Denjoy’s inequality for PL circle homeomorphisms with two break points
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:51.316605Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 55f07299-e300-4693-b4ea-5f1f38f3230f · outbound
This paper cites Circle homeomorphisms with two break points.
Pinched Arnol'd tongues for Families of circle maps Circle homeomorphisms with two break points
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:51.166198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation cc7e78d8-6d28-4a1e-a4ef-cc404c4118b3 · outbound
This paper cites On the conjugation of piecewise smooth circle homeomorphisms with a finite number of break points.
Pinched Arnol'd tongues for Families of circle maps On the conjugation of piecewise smooth circle homeomorphisms with a finite number of break points
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:50.925491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 158e2dfe-3390-48df-86f6-935b4e16969f · outbound
This paper cites Teichm¨ uller dynamics, dilation tori and piecewise affine circle homeomorphisms.
Pinched Arnol'd tongues for Families of circle maps Teichm¨ uller dynamics, dilation tori and piecewise affine circle homeomorphisms
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:50.648244Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 675489a0-fc94-4132-ab73-2efdaa3e027b · outbound
This paper cites Piecewise linear circle maps and conjugation to rigid rational rotations, 2025.
Pinched Arnol'd tongues for Families of circle maps Piecewise linear circle maps and conjugation to rigid rational rotations, 2025
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:50.383779Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e3c5ee0a-c711-411a-938a-58b5f94d9291 · outbound
This paper cites Sur la conjugaison diff´ erentiable des diff´ eomorphismes du cercle ` a des rotations.
Pinched Arnol'd tongues for Families of circle maps Sur la conjugaison diff´ erentiable des diff´ eomorphismes du cercle ` a des rotations
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:50.157639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation acd58534-5a02-43fa-abb5-16dd67805a22 · outbound
This paper cites PL homeomorphisms of the circle which are piecewise C 1 conjugate to irrational rota- tions.
Pinched Arnol'd tongues for Families of circle maps PL homeomorphisms of the circle which are piecewise C 1 conjugate to irrational rota- tions
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:50.013609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9810ed03-4775-43a7-9242-a4baa72eaab1 · outbound
This paper cites Nombre de rotation, mesures invariantes et ratio set des hom´ eomorphismes affines par morceaux du cercle.
Pinched Arnol'd tongues for Families of circle maps Nombre de rotation, mesures invariantes et ratio set des hom´ eomorphismes affines par morceaux du cercle
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:49.884167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c9a0fc4f-44fa-4813-9ef7-2241eae21683 · outbound
This paper cites an unresolved cited work.
Pinched Arnol'd tongues for Families of circle maps Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:23:49.736749Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 38b853f9-e3b2-4b87-abf6-3933d04d3f16 · outbound
This paper cites an unresolved cited work.
Pinched Arnol'd tongues for Families of circle maps Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:23:49.602651Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d8bc0146-4ddb-4922-99a0-eed92809a8fc · outbound
This paper cites an unresolved cited work.
Pinched Arnol'd tongues for Families of circle maps Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:23:49.403750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ea578608-c246-4e35-868d-d7ab7f130df8 · outbound
This paper cites an unresolved cited work.
Pinched Arnol'd tongues for Families of circle maps Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:23:49.235215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 16a62e69-2360-4233-b323-a6daf91aee68 · outbound
This paper cites an unresolved cited work.
Pinched Arnol'd tongues for Families of circle maps Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:23:49.064109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4374d68b-cc1d-4d02-baf8-9714153fd7a4 · outbound
This paper cites an unresolved cited work.
Pinched Arnol'd tongues for Families of circle maps Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:23:48.867636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b4aaa1a2-e810-4e26-9f25-bb87aeb6724e · outbound
This paper cites an unresolved cited work.
Pinched Arnol'd tongues for Families of circle maps Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:23:48.608069Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ab10960e-f86c-4e35-a72c-8b0445e8b8c1 · outbound
This paper cites How the arnol 'd, tongues become sausages in a piecewise linear circle map.
Pinched Arnol'd tongues for Families of circle maps How the arnol 'd, tongues become sausages in a piecewise linear circle map
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:48.307974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 325404cb-2d70-43d5-bf52-c8df3b862b38 · outbound
This paper cites Zhusubaliyev and Erik Mosekilde.
Pinched Arnol'd tongues for Families of circle maps Zhusubaliyev and Erik Mosekilde
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:23:48.061436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation 2ca5e2c1-d325-43b2-bedc-f96e0957b351 · inbound
Scaling of the rotation number for perturbations of rational rotations cites this paper.
Scaling of the rotation number for perturbations of rational rotations Pinched Arnol'd tongues for Families of circle maps
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:42:30.324962Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.