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Paper Citation Record · LEDGER

Pinched Arnol'd tongues for Families of circle maps

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.02988.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.02988 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:23:47.803086Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:45.281868Z digest=sha256:2831be6dc867d10479a2ca69bcb8e7fced0b19edc5909c56affd6a69fc40d318

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:45.376304Z digest=sha256:735d0567c65c1ca8178fa91716ff3af302cae74a47559973a96644c396e5b0de

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:45.519366Z digest=sha256:4f234832776b6b6c7a50768d8147898c1ab7e4e1e75587d341a00801f99ca904

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:45.600740Z digest=sha256:d5aa14be3a6ff3feaefcaefd21a986427a0863eec0c542687577dc0b84832a25

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:45.702280Z digest=sha256:5403cfedfda53a46230176cb29f261d13fd59092bc0aa6d144a9cde8c1b4fb7c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:45.783509Z digest=sha256:2869296bc18760a3a688412efb08dbf50797853d284904a94b2a3d034a553d6a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:45.905681Z digest=sha256:6b794cfaa60fb33a69b465d0b5351bfe07965077032c74a3147606c7835b8104

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:45.965754Z digest=sha256:e59600674cc5404e1820314f6d90d4d86cb8ec2936b1a60dcc2a57c399b6fae3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:46.103305Z digest=sha256:956137944cb22fcc87ed457dd8ee6425778d5bc324e9d9778e0c293844a0be48

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:46.206028Z digest=sha256:dec5d5dd59ac36e2294c9d2854e4435b4c1f1abff975511c2232d4d2bba7f354

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:46.288649Z digest=sha256:cef264d27032fc9f528328ac44f89c84432a98a380139e27470a41f30f395b68

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:46.360537Z digest=sha256:102fe74b6bbec55610c4b554ac6afc688906b0f61d65fbfff806368a1c639bc9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:46.465478Z digest=sha256:7f1d2b773d8364ba303fa8d6f5ac8dbfd0a8bd106213cfffc95e7925e497312e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:46.611963Z digest=sha256:9e6642d1921330a3622feb2ef8c59b320faf41d8de9712d262a2eb7053e79c5b

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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:46.968130Z digest=sha256:e809a0693c156ce45ad0de4ded1838f4e8d4500fe9e42976dc9259478f45b065

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:47.236465Z digest=sha256:5a1605b443fd55230ad44b8f6ade95ed2dc50c97742ae84ba47794a45dd4d5c1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:47.355466Z digest=sha256:e50794205fff8cf195f7131c89e65be4985b82bac004c204a11769d2bd6a4668

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:47.441860Z digest=sha256:9a7f6968133eed4d1813037ed76b23f7c20715e91b4c5e886259cc6209cce324

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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:47.667579Z digest=sha256:3269a9b81ea3fda1b2269d6434c9bac30e8d7eb5af90a77df3caaf840121c59d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:47.733789Z digest=sha256:562b9ff31f7536695fe0bde1ed16de93d8e88f109238fc54da350146ba7b721e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:23:47.803086Z digest=sha256:410163ee599c910b9619059df730768e6df36c2989bc09fb4d045c96fb0d2384

Pith citing papers

No inbound Pith citation observations are available.