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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:45.376304Z digest=sha256:c72d3f6f473c42922ecea2e05704d1dee24f8b186ea80d1156658a3d242bf32b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:45.519366Z digest=sha256:709d4cbdfa4312288a52cf6f8e5d8c354ca6c24ddea388d960299ac95480a1dd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:45.600740Z digest=sha256:68a55079f34dcde359db4c335b3a009b4b0e3034b144c97a8ae1bd2a763a0359

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:45.702280Z digest=sha256:1ba350cf34481419837d494a75c6f27e55ccd9a16a50149804b9a38d3d108581

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:45.783509Z digest=sha256:7881d9b397cd19b5dea35cb7944e40ed7a23a02b8302acfbac1ebb53c9deb09e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:45.905681Z digest=sha256:f0224a9d76f697fcedf4283c01f49fb20558fb09d1baf8f7dbc253614a58f26a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:45.965754Z digest=sha256:b872049ef741f9431381571835017f8f646136e7a6a823be6de0ddd9bd7a0481

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:46.103305Z digest=sha256:ef6cfb4c44f3376b9b79cac6a73acf1bf382ea3b5e3b2a79819f03f3ebd1ed4e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:46.206028Z digest=sha256:27365882998d4c86beb33b3905f00b3ea4f014e42624e981351fbb4dc9be9625

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:46.288649Z digest=sha256:76a948879ad0165c042987a4a1dcb910d2c6aa7030c3e3aba90af2137f4bd1fd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:46.360537Z digest=sha256:7c7e4fa1c2dd372f07e114010f76485e86e4ee8669a010b9286b7a30fce14194

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:46.465478Z digest=sha256:62d28165afa901a7b3285b0889ec7fa55349aeccbd00927dfc94e52b9269eb6b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:46.611963Z digest=sha256:355c70a97ee0046bd4234c3bd5e618e45529866e81c562f69936a07a71ad4063

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:46.817775Z digest=sha256:ac583ace44e282ac8ff0348e8f5bd5214d03270e1fedc531047a6a1edab9cfe8

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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:47.441860Z digest=sha256:ee51206e21ed5743a4eb801d919961ac84606d58a1915be34c69886bdb0424a7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:47.512551Z digest=sha256:5ec3b6d284d15edfeba319f108ba985a0df27ffa6abbca7e108e2e17b068b1de

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:47.594332Z digest=sha256:38a75a038e11bc6258e6430b1970d7d5b2927fe721ba841537908cadd11d87b3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:47.667579Z digest=sha256:92f20c4d5d405b77489757b17b4bd76e5a65046c3a801e4a07a3c23362049c23

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:47.733789Z digest=sha256:bfffe11338508726d9c3b59a8161b29f670f7dc791c98eb3712787a35d33daeb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:23:47.803086Z digest=sha256:74116fba936852582c690f6e1de75796e533fb18d15a8bf202d3692bea04a662

Pith citing papers

No inbound Pith citation observations are available.