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Paper Citation Record · LEDGER

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations

As of 17 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.03785.

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

pith.paper-citation-record.v1
2607.03785 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T23:58:08.404469Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

19 of 19 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dce5052f-e4c8-4748-8f08-2900869c55eb · outbound

This paper cites Burrows, D.J.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Burrows, D.J

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:1f6f23a4e287449ae7bcf265e87fd997f884458e731f58cc73e8e147a2026ee6

Observation 7246ab25-4641-4c7a-be87-068110414aec · outbound

This paper cites Square-tiled surfaces of fixed combinatorial type: equidistribution, counting, volumes of the ambient strata.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Square-tiled surfaces of fixed combinatorial type: equidistribution, counting, volumes of the ambient strata

Reference 2

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:dc01314c0cad1be1bb7c426acd9671b1279f19709994fbb449c15f5f7e165aa4

Observation 8cc64a5e-8753-4723-8368-b6e15fd55b77 · outbound

This paper cites Delecroix, E.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Delecroix, E

Reference 3

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:81e7c80af49c4f9e64b0f6083ebc7c1686c63e23c2d539694b39aa5b57cf2098

Observation dcad9093-469e-4a67-896c-401eea15a6f9 · outbound

This paper cites Dolce, C.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Dolce, C

Reference 4

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:88d23d10283f2e71d84f3069685d1485f11d37196a7d88e1583f1c0677c1a174

Observation f4be1c39-807c-428f-8237-505df7b64301 · outbound

This paper cites Ferenczi, L.Q.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Ferenczi, L.Q

Reference 5

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no resolver link, observed 2026-07-11T23:58:08.404469Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:dfb48ed0d6f85a61bae6a659bd6f734ad6d51e69ac05493e692372fd08c44891

Observation 32bf0ada-d87b-45e2-ba74-2f1b0722b3d0 · outbound

This paper cites Ferenczi, L.Q.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Ferenczi, L.Q

Reference 6

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no resolver link, observed 2026-07-11T23:58:08.404469Z

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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:c3c039af45ecb0e87c8a2970f337a9f2359fc924fc0fbaa915d622501eb55842

Observation 4f67db74-0ee7-42d5-959c-ba0a9255b18d · outbound

This paper cites Ferenczi, L.Q.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Ferenczi, L.Q

Reference 7

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no resolver link, observed 2026-07-11T23:58:08.404469Z

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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:1093a9ea6eee8ba8282c0b7acd33ba21274400c20ed7520c47abe8d8983dfe58

Observation f8429149-9ad5-4f34-888a-61635d26bc3a · outbound

This paper cites Ferenczi, P.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Ferenczi, P

Reference 8

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no resolver link, observed 2026-07-11T23:58:08.404469Z

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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:91257d9b661c01e7e46d270525a557cdd6c5b48f897216191e34ee2e58d68e53

Observation a2040f44-1f45-48c7-ba26-865b2c45bb3b · outbound

This paper cites Gessel, C.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Gessel, C

Reference 9

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no resolver link, observed 2026-07-11T23:58:08.404469Z

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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:1ce05d94d58e4c55f1cf0bb7e190763c60afe18ebb8e540b4e36da88aaeff7cd

Observation 46f7aded-1af0-498d-8eab-33d3263c6531 · outbound

This paper cites Lapointe, Number of orbits of discrete interval exchanges,Discrete Math.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Lapointe, Number of orbits of discrete interval exchanges,Discrete Math

Reference 10

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no resolver link, observed 2026-07-11T23:58:08.404469Z

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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:f93698a9b1dc28b49d2bde7b50aa2dee019319b792845c9ec1b6300848db8db7

Observation e37fc499-93a8-4666-997f-af9353d54e89 · outbound

This paper cites Lapointe, N.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Lapointe, N

Reference 11

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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:e8f982bb67a2f114f95d7fd1436475675db5ff8736c1624f23d65a0e6e7ba932

Observation a25f5935-3f5c-492b-b3c6-24ee6c41f26a · outbound

This paper cites Lapointe, C.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Lapointe, C

Reference 12

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no resolver link, observed 2026-07-11T23:58:08.404469Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:6d47d165193eb0f7925861a788b86ba204d1a3db15403bbc5b78cadbf0013ad2

Observation cec73a7f-56cc-432e-86dd-6725bc2fa461 · outbound

This paper cites Mantaci, A.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Mantaci, A

Reference 13

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unresolved
no resolver link, observed 2026-07-11T23:58:08.404469Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:2da8a3545eb335d4efe1a22cd2d522f319aebb99f172291644eef03157185d2d

Observation 3f8d5f67-cf31-4ae2-96d9-f0289b4954e4 · outbound

This paper cites Naveh, Tight upper bounds on the number of invariant components on translation surfaces,Isr.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Naveh, Tight upper bounds on the number of invariant components on translation surfaces,Isr

Reference 14

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no resolver link, observed 2026-07-11T23:58:08.404469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:b798cff67c398b872879762f094044dd4f21d2c0474d2775cc4a401350f3f58a

Observation 4040dc0e-c39e-4c1f-a161-3d6f62846ec9 · outbound

This paper cites an unresolved cited work.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Unresolved cited work

Reference 15

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:8724b0a0ed10369fd129b36cd848985049e1782832a8f4f019dc6581e6cf355e

Observation 6f699380-b0df-4ce0-8e26-b7ffb514f1a6 · outbound

This paper cites Rauzy, ´Echanges d’intervalles et transformations induites, (in French),Acta Arith.34(1979), p.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Rauzy, ´Echanges d’intervalles et transformations induites, (in French),Acta Arith.34(1979), p

Reference 16

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:0753955cf8250e9436610d4efa1ac1b1ad1198e5a35e4d8dacda7400019f3af1

Observation cc7882e9-7ef0-472e-a1b4-125a6009ba37 · outbound

This paper cites Viana, Ergodic theory of interval exchange maps,Rev.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Viana, Ergodic theory of interval exchange maps,Rev

Reference 17

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:c122e56a5970c5e510cf2e6b5164d22e032e329bc5c5c843e7b240225f577947

Observation 90d62dce-d624-439b-9fd0-c0c62a0276c4 · outbound

This paper cites Veech, Gauss measures for transformations on the space of interval exchange maps,Ann.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Veech, Gauss measures for transformations on the space of interval exchange maps,Ann

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-11T23:58:08.404469Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:575a32841f1df8fb07bbc2319fe9532713c11ed48fd6d69fedcddb51a22cd872

Observation 17d466fe-8813-47cc-9ed0-6a5801388c2f · outbound

This paper cites an unresolved cited work.

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations Unresolved cited work

Reference 19

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:abf1e6b87fdefcb904d48bc8b5a072b53ac2813c660e83f7c1ececaebf0c27ce

Pith citing papers

No inbound Pith citation observations are available.