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Paper Citation Record · LEDGER

Order symmetry and orthogonality of trajectories in discrete interval exchange transformations

As of 21 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 2026-08-21T06:32:19.484+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

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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=sha256:6cb7f9dc9dd3b2df3d620aefefeb52ba39fd56d31a3f2313139093b3bfce6f4c

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:09dee11d2288cc722851fa61443d7dd7930366cac85ad173b9662506b6cbc6b6

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:a984f15ea3097b29d40e4641c3c4c0b41b1b2588be72fcdd2251e4ad342f5eff

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:106e00d8523ec058dd472d5f69f10289a4583ac6b842573b6269574e01824882

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:51fa31b97284daca2bc29b34bfbedcdd7e31d8c0755d83c36438b2ac916c068f

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:42923f8a31b301a18cdacf1b0cc54fba8c58c2235d43f37921611daabfe398c8

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:bab01a2e64f9d8180d0a62187f1c42f08b4c8c7096d9f5d57564b52196748171

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:d571a581d9d482772cd88739d4d7a4b52deee42ee0a2ab649e30b3f97a926869

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:5944e59ba85e024edd8a97e06e49249a238c5f52605b68166d21bf0784a929ea

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:58b0a44f0ddf5e0ff60e6cf878a68333319f32d46b30b8119287c37d71b71fd8

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:a1c078fdfb7ccd3b99605929b4457a972a3de22d528e93ea597046dfe1f44fd7

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:7a6adcf6531b4ebee930cd4d32d1fa9189cd6f20dfae303ef689cadd91b544be

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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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:d37f0147cbd6e169d71a756143e2c1c02ac58780c0d1fcd1ccad6bdac6c41c7f

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:1eba940fa8be0dd0884426f475fb1aab16672b6922d6629207eca92b6bd21842

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:e3a866ef1f80f7c185a2c9214b18ce1b5fefeeb2f5c368aebd2c10d04f76a3c7

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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source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:839cf5ce308e7cbf40d34def84ac5fdee3502816ea730d2b2a7af05c7932ac33

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=sha256:761f889c5c470bc584fed7f1717df2607e13b4b1629b76c6a15eaae7c90d3d80

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

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unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:58:08.404469Z digest=sha256:bbfb83f34fe417ad63d0d9ced7c935804c4acc13832be2ce9bc3a0f023602b59

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:c3662d1f460a624b4e902a6b016d859906615609efd0a222946f31992c5da15f

Pith citing papers

No inbound Pith citation observations are available.