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Paper Citation Record · LEDGER

Density of Stable Interval Translation Maps

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2411.14312.

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

pith.paper-citation-record.v1
2411.14312 v4

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:22:59.827348Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T20:10:37.983429Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T15:26:13.576963Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8e819487-2d8b-49e1-b374-ceead1f94496 · outbound

This paper cites Renormalization for Bruin-Troubetzkoy ITMs.

Density of Stable Interval Translation Maps Renormalization for Bruin-Troubetzkoy ITMs

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T15:22:59.739694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:22:59.739694Z digest=sha256:2d9be64019f3fa49a5e9eb15aa3c6ca539f68f119d00b15557b321babf330b1f

Observation eb7315e9-ce36-4d7b-ad23-f20464a30c92 · outbound

This paper cites an unresolved cited work.

Density of Stable Interval Translation Maps Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:22:59.926841Z

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.

source=pdf_text observed=2026-08-12T15:22:59.827348Z digest=sha256:92075bd887e1eae2572f98ec591388def93c77a3bae833a0b7a4726d449cde22

Observation fd441a2a-4512-4cb4-bb14-eef44e96e2d6 · outbound

This paper cites Translated from the Portuguese by Silvio Levy.

Density of Stable Interval Translation Maps Translated from the Portuguese by Silvio Levy

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:23:00.066790Z

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.

source=pdf_text observed=2026-08-12T15:22:59.787994Z digest=sha256:25e2a7cdd4d8565f236d857e9ce7d63480ee34619d8a4d39146ee0c8e3371723

Observation 62754988-deac-44ac-977e-a5ebac62418a · outbound

This paper cites Topological transitivity of billiards in polygons.

Density of Stable Interval Translation Maps Topological transitivity of billiards in polygons

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:59.950606Z

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.

source=pdf_text observed=2026-08-12T15:22:59.820681Z digest=sha256:14170e9c863498e405a85c96d8ed89a4581f6c4ded3507d2a026f56e02339c65

Observation a5250308-210a-42d3-a541-71fb4df14289 · outbound

This paper cites The non-monotonicity of the entropy of α-continued fraction transformations.

Density of Stable Interval Translation Maps The non-monotonicity of the entropy of α-continued fraction transformations

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:23:00.012774Z

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.

source=pdf_text observed=2026-08-12T15:22:59.801136Z digest=sha256:b2794775910dd94e040a8947fcc1da49dc191a3de5347f1127eb0bc390462a2b

Observation 719514e4-d911-43f4-a6d5-42c748be2f69 · outbound

This paper cites Density of hyperbolicity in dimension one.

Density of Stable Interval Translation Maps Density of hyperbolicity in dimension one

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:23:00.134689Z

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.

source=pdf_text observed=2026-08-12T15:22:59.771233Z digest=sha256:f54f439b544e8e7b03b318f8a0527a7dea6ee8dc1059118a113bb204f0df355c

Observation 5a076e82-4075-49be-8eda-f6734f4e0c08 · outbound

This paper cites Interval Translation Maps with Weakly Mixing Attractors.

Density of Stable Interval Translation Maps Interval Translation Maps with Weakly Mixing Attractors

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-12T15:22:59.746368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:22:59.746368Z digest=sha256:0bd58ab88bc829d0cb0d9174f348cb37ef760d810245ac6c6269ca528ea50cee

Observation 97f7ba18-c4e6-48b3-a290-734cdf4c0091 · outbound

This paper cites Quasiconformal homeomorphisms and dynamics. III. The Teichmüller space of a holomorphic dynamical system.

Density of Stable Interval Translation Maps Quasiconformal homeomorphisms and dynamics. III. The Teichmüller space of a holomorphic dynamical system

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:23:00.046259Z

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.

source=pdf_text observed=2026-08-12T15:22:59.795253Z digest=sha256:d9ccb4640b3de5829a56b4be4cb5b9d22555d43727e736f2b9efb6724cfaaa9f

Observation 553336d9-d47e-436f-88af-65486548a951 · outbound

This paper cites Interval exchange transformations.

Density of Stable Interval Translation Maps Interval exchange transformations

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:59.968782Z

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.

source=pdf_text observed=2026-08-12T15:22:59.814021Z digest=sha256:3f1000f0173763b3451771a6dee89cb5848bd78d13a2c214f1c2768a083ccfb2

Observation 1da657a6-2c50-4234-8691-b8eaedaf6d01 · outbound

This paper cites Non-ergodic interval exchange transformations.

Density of Stable Interval Translation Maps Non-ergodic interval exchange transformations

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:23:00.179422Z

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.

source=pdf_text observed=2026-08-12T15:22:59.757581Z digest=sha256:f02ce4553b8abb3be87588c6acfc62c3a99af80bdd2551895848938a2d17eed5

Observation 20d06751-dae5-4456-9a00-1586896c5275 · outbound

This paper cites Double rotations.

Density of Stable Interval Translation Maps Double rotations

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:59.989892Z

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.

source=pdf_text observed=2026-08-12T15:22:59.807177Z digest=sha256:95c780054b70ef69286e730ae0a66d83e63ba9f324a0ad5ea703984937a98da1

Observation 2f2e4ce4-bac8-4a4c-90ed-ac010ac742c9 · outbound

This paper cites Princeton University Press, Princeton, NJ, 1994, pp.

Density of Stable Interval Translation Maps Princeton University Press, Princeton, NJ, 1994, pp

Reference 135

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:23:00.090206Z

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.

source=pdf_text observed=2026-08-12T15:22:59.782676Z digest=sha256:1bce70a02d7668dbfb3b878a62f8cf56d755725876e78ad5754142817799c4b3

Observation f008b0f1-225c-4da8-88e8-27b9077fdd51 · outbound

This paper cites Quadratic ra- tional rotations of the torus and dual lattice maps.

Density of Stable Interval Translation Maps Quadratic ra- tional rotations of the torus and dual lattice maps

Reference 245

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:23:00.158409Z

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.

source=pdf_text observed=2026-08-12T15:22:59.763761Z digest=sha256:b222736705c7ebdfb3a8fd3d2a4e3c99defe44ce635674ec1a57c5545c209082

Observation d9d96626-6e28-4bdc-aaa9-1ac808568504 · outbound

This paper cites Interval exchange transformations and measured foliations.

Density of Stable Interval Translation Maps Interval exchange transformations and measured foliations

Reference 395

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:23:00.113647Z

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.

source=pdf_text observed=2026-08-12T15:22:59.777456Z digest=sha256:0296aa532f56483e90541a0c157bf819054e3b09d484c87555f9e84ed2c09ee9

Observation 75d74e42-ccae-40a0-b692-49338dd1881d · outbound

This paper cites Sofic subshifts and piecewise isometric systems.

Density of Stable Interval Translation Maps Sofic subshifts and piecewise isometric systems

Reference 2001

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:23:00.201287Z

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.

source=pdf_text observed=2026-08-12T15:22:59.752243Z digest=sha256:2d8a6bce3dbbf8b480504aeb848da7df0266795cc7b9b288e779aaf07169b932

Pith citing papers

Observation d78a1250-2c06-411a-ac3f-10e81b418486 · inbound

Transversality for Interval Translation Maps cites this paper.

Transversality for Interval Translation Maps Density of Stable Interval Translation Maps

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-11T15:21:09.622311Z

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.

source=arxiv_source observed=2026-05-09T20:10:37.983429Z digest=sha256:20bd93de64d7a4c2e86371f637d671320b6d490695a92378eaf2272d363293d8

Observation 4f078d4c-e37a-40af-877e-66785f6213bd · inbound

Characterisation of Stability for Interval Translation Maps cites this paper.

Characterisation of Stability for Interval Translation Maps Density of Stable Interval Translation Maps

Reference 130

Resolution
verified exact
arxiv_id, observed 2026-05-11T15:26:13.605439Z

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.

source=arxiv_source observed=2026-05-09T19:57:14.910486Z digest=sha256:16bf1248bc0b926ee4231934316db8475db03323fa31b07a570dc14e93b9d7a5