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Paper Citation Record · LEDGER

On Translation Lengths of Anosov Maps on Curve Graph of Torus

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.00472.

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

pith.paper-citation-record.v1
1908.00472 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T16:01:07.599054Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

23 of 23 outbound references displayed

  • verified exact1
  • verified fuzzy16
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 38a56fa6-8f75-42a6-a1ba-4984cc714764 · outbound

This paper cites Aougab and S.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Aougab and S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:08.068044Z

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.

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Observation f414df49-feb9-495b-bde7-e6c2f1a1d16d · outbound

This paper cites An extremal problem for quasiconformal mappings and a theorem by T hurston.

On Translation Lengths of Anosov Maps on Curve Graph of Torus An extremal problem for quasiconformal mappings and a theorem by T hurston

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:08.049083Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.256780Z digest=sha256:78f3b7ae41391b6ad4f1df865332f3de4bfa9a66d25514e289c4630e181e9776

Observation 9354ffc5-cc7b-400b-89b8-419047cfe78d · outbound

This paper cites an unresolved cited work.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T16:01:08.020883Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.266756Z digest=sha256:d6781b334f85d1ad43bc3c2d2360902ed9b1fa2b6e21346e27ad97a34a715c8d

Observation 977a74dd-a8ea-455e-aada-8a752b0ee12a · outbound

This paper cites Bowditch.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Bowditch

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T16:01:07.270881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T16:01:07.270881Z digest=sha256:09519c3561af4b4c1a4470026d6b746082e80e0451b83d8ae2a033f1fa5ce9ca

Observation bcf21274-82e0-4ada-89a4-c2d891e6450a · outbound

This paper cites Is a typical bi- P erron algebraic unit a pseudo- A nosov dilatation? Ergodic Theory and Dynamical Systems , pages 1--6, 2017.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Is a typical bi- P erron algebraic unit a pseudo- A nosov dilatation? Ergodic Theory and Dynamical Systems , pages 1--6, 2017

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.997541Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.279591Z digest=sha256:8ddcdaa7c33e2cfc3f27b10aa46d979578ece745d78c9ac85c7e73f81b7fcf16

Observation 15f737ef-724a-4a49-99b8-1c8809ee3267 · outbound

This paper cites Minimal asymptotic translation lengths of T orelli groups and pure braid groups on the curve graph.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Minimal asymptotic translation lengths of T orelli groups and pure braid groups on the curve graph

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.971688Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.314845Z digest=sha256:8c6b02c6127e5d5de094c87a4f459278ebc229fba090c13d1a083f1da4e57921

Observation f6c17bb4-bb2f-48fe-8191-b2b3f997f853 · outbound

This paper cites Polynomial-time algorithms for the curve graph.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Polynomial-time algorithms for the curve graph

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T16:01:07.644084Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.364747Z digest=sha256:212f61c29e5db03d2c0b89eff4b37362331a93475c5220f125ece1d000b26e03

Observation 753b20fd-4ab5-48a9-b216-df062191943b · outbound

This paper cites Chowla, J.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Chowla, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.941064Z

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.

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Observation 20ab3d33-07fe-49d2-9aca-2a61dbf22b67 · outbound

This paper cites Leininger, and Dan Margalit.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Leininger, and Dan Margalit

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T16:01:07.444748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T16:01:07.444748Z digest=sha256:d55a29cdf53ebd981da77016d850d1948e66b6e5688f168cc5e39d0988241a51

Observation c4fccb77-ee09-4919-9b2d-cd5a8a6aeefe · outbound

This paper cites Gadre, E.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Gadre, E

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.894500Z

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.

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Observation 0bfc38d5-9c51-40fa-88f1-3c9c5891ead1 · outbound

This paper cites Minimal pseudo- A nosov translation lengths on the complex of curves.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Minimal pseudo- A nosov translation lengths on the complex of curves

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T16:01:07.461280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T16:01:07.461280Z digest=sha256:d0cee8394e44333bb9bad058f74f05e309677bdc595629fa4274b0218f479e95

Observation daff73f7-452c-480d-ae9e-8e81e12009d3 · outbound

This paper cites an unresolved cited work.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T16:01:07.875922Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.471069Z digest=sha256:fe64fb4ae1195cc9fbf7e437430eb69836c6a838100232cf80718affd72c7fcb

Observation 1785201d-631d-4a6f-94f9-0eecb575e668 · outbound

This paper cites Topology of numbers.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Topology of numbers

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.863567Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.477254Z digest=sha256:7df759d9e93f1359ae77d668812818b5f0a1d3a7668561d7d3e6da91c704d435

Observation c800dd7c-1c8e-402e-b46a-177f2788951c · outbound

This paper cites Kin and H.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Kin and H

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.853472Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.504883Z digest=sha256:79e886070d002e9a75be5e4e99e780c72406704b32bea9bd1d0f57e4f2477ce4

Observation 3a6c8b3e-4d8a-443c-a5b4-c03ec6e1af99 · outbound

This paper cites A geometric approach to the complex of curves on a surface.

On Translation Lengths of Anosov Maps on Curve Graph of Torus A geometric approach to the complex of curves on a surface

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.843425Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.537866Z digest=sha256:2ef1d6ac6464ee979a6177c3c4f45118854c3306ddb8c03663df947904f6a44f

Observation e6f40ca7-eeeb-4583-8ff0-d282525b088d · outbound

This paper cites Geometry of the complex of curves I : Hyperbolicity.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Geometry of the complex of curves I : Hyperbolicity

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.832075Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.564212Z digest=sha256:7f0de4c444c2991d891a0dc53871b03ca89121351ba789c989df5ce7aef12991

Observation 1d3ff621-9123-4d09-94d3-12906313dbd5 · outbound

This paper cites Continued fractions and hyperbolic geometry, 2015.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Continued fractions and hyperbolic geometry, 2015

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.816361Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.568451Z digest=sha256:5a23ae4bf6e9141e89055a6b4bfac5f4c85b39045e2a99fca92f62b98ffd431f

Observation 0f64662e-103e-4017-bf60-1685f7e2ceb4 · outbound

This paper cites Shackleton.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Shackleton

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.803130Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.574203Z digest=sha256:915dbc0e1b31ddf781b7e2ec0ef24efbd64d9a46661be9eb2c185d6bd3403d57

Observation 8e83ffff-5e8c-4e11-8c70-609e1f8656cb · outbound

This paper cites Pseudo- A nosov mapping classes not arising from P enner’s construction.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Pseudo- A nosov mapping classes not arising from P enner’s construction

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.787916Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.579371Z digest=sha256:ab5d10039eb956c791ec249f856d8d8afc3a5707b69daeaed652ad4563ed7f6c

Observation b5cabaea-7f13-4b62-95c8-b0609e6bbcfe · outbound

This paper cites A proof of L agrange's theorem on periodic continued fractions.

On Translation Lengths of Anosov Maps on Curve Graph of Torus A proof of L agrange's theorem on periodic continued fractions

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.761173Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.585366Z digest=sha256:00f7b41f570a3407727961aa42dd04de6c08df77a3996558dc8ed8504bacb6ca

Observation 63fcdce9-1863-47d7-8ce7-30ebc3464168 · outbound

This paper cites Thurston.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Thurston

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.748004Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.590611Z digest=sha256:01e7d46500f5f4cc2336ad4826c451736cfbad1a5ee1984077825f0b06c4d529

Observation 628848dc-23c5-46ac-87fd-3fb229b0fab6 · outbound

This paper cites Valdivia.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Valdivia

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T16:01:07.594949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T16:01:07.594949Z digest=sha256:6c50a0dfd3dc40c8bee1133ffd913870e116b2f33be653dbd605aa5fd6195ed4

Observation 8e0435fd-3bbb-44e0-aa50-12ec1b87e9d1 · outbound

This paper cites Combinatorics of tight geodesics and stable lengths.

On Translation Lengths of Anosov Maps on Curve Graph of Torus Combinatorics of tight geodesics and stable lengths

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:01:07.705130Z

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.

source=arxiv_source observed=2026-08-14T16:01:07.599054Z digest=sha256:0412265b12336c8082ef48b4b8fab24b5330753ffd25c17ce4e4bb0991ed4a45

Pith citing papers

No inbound Pith citation observations are available.