Paper Citation Record · LEDGER

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations

As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2605.31333.

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pith.paper-citation-record.v1
2605.31333 v1

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measured 31 of 31 reference resolution

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measured 31 of 31 standing notices

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31 of 31 outbound references displayed

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Outbound references

Observation 54d0c8df-9c55-432e-a18e-e6ed7287b3bd · outbound

This paper cites Friezes.Advances in Mathematics, 225(6):3134–3165, 2010.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Friezes.Advances in Mathematics, 225(6):3134–3165, 2010

Reference 1

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Observation e080125c-a2ab-44a4-83d3-476b43930c40 · outbound

This paper cites an unresolved cited work.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Unresolved cited work

Reference 2

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Observation 02dcd056-2f15-4f3b-938d-5fdbdb3cb3b2 · outbound

This paper cites Cluster algebras and continued fractions.Compositio mathematica, 154(3):565–593, 2018.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Cluster algebras and continued fractions.Compositio mathematica, 154(3):565–593, 2018

Reference 3

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Observation ee0612e8-099c-48ca-a099-c8714ec86779 · outbound

This paper cites Quiddities of polygon dissections and the Conway–Coxeter frieze equation.ANNALI SCUOLA NORMALE SUPERIORE-CLASSE DI SCIENZE, 24(4):2125– 2170, 2023.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Quiddities of polygon dissections and the Conway–Coxeter frieze equation.ANNALI SCUOLA NORMALE SUPERIORE-CLASSE DI SCIENZE, 24(4):2125– 2170, 2023

Reference 4

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Observation c2a2cffc-2c16-43f1-afb0-0149bad97d88 · outbound

This paper cites Triangulated polygons and frieze patterns.The Mathemat- ical Gazette, 57(400):87–94, 1973.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Triangulated polygons and frieze patterns.The Mathemat- ical Gazette, 57(400):87–94, 1973

Reference 5

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Observation 71df43dd-88bb-4265-a999-bc6823ff40ce · outbound

This paper cites Triangulated polygons and frieze patterns, continued.The Mathematical Gazette, 57(401):175–183, 1973.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Triangulated polygons and frieze patterns, continued.The Mathematical Gazette, 57(401):175–183, 1973

Reference 6

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Observation c9610c46-0c70-4486-927f-58d2f1f8ffb4 · outbound

This paper cites Frieze patterns.Acta Arithmetica, 18(1):297–310, 1971.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Frieze patterns.Acta Arithmetica, 18(1):297–310, 1971

Reference 7

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Observation 387c0eda-b8b8-4b13-88aa-56c68c7dcff1 · outbound

This paper cites A quantum Teichm¨ uller space.Theoretical and Mathematical Physics, 120(3):1245–1259, 1999.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations A quantum Teichm¨ uller space.Theoretical and Mathematical Physics, 120(3):1245–1259, 1999

Reference 8

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Observation 760ab2ad-4107-4662-97b9-5e870db1b8af · outbound

This paper cites Cluster algebras I: foundations.Journal of the American mathematical society, 15(2):497–529, 2002.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Cluster algebras I: foundations.Journal of the American mathematical society, 15(2):497–529, 2002

Reference 9

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Observation a1b164e3-3591-4b6d-8946-e1ccedf47d7f · outbound

This paper cites Cluster algebras II: Finite type classification.Inventiones mathematicae, 154:63–121, 2002.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Cluster algebras II: Finite type classification.Inventiones mathematicae, 154:63–121, 2002

Reference 10

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Observation c789f673-da74-4e8d-8a35-9c8093de1221 · outbound

This paper cites Cluster algebras IV: coefficients.Compositio Mathematica, 143(1):112–164, 2007.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Cluster algebras IV: coefficients.Compositio Mathematica, 143(1):112–164, 2007

Reference 11

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Observation 7c378fb5-fec1-4d23-8d9d-12d4b74dd72b · outbound

This paper cites $q$-Deformations and $t$-deformations of Markov triples.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations $q$-Deformations and $t$-deformations of Markov triples

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-01T19:46:10.374705Z

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Observation e2e8b1d3-3682-430a-b5a6-01be522ca84a · outbound

This paper cites Arithmetic onq-deformed rational numbers.Arnold Mathematical Journal, 11(3):42–92, 2025.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Arithmetic onq-deformed rational numbers.Arnold Mathematical Journal, 11(3):42–92, 2025

Reference 13

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Observation 394dcd57-4020-4af2-9113-8eb89292a6b5 · outbound

This paper cites A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials.Journal of Knot Theory and Its Ramifications, 28(14):article no.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials.Journal of Knot Theory and Its Ramifications, 28(14):article no

Reference 14

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Observation 5e9a8c1d-f95c-4610-9e9f-5ea093c3db5c · outbound

This paper cites Theq-analog of the Markoff injectivity conjecture over the language of a balanced.Combinatorial Theory, 2(1):article no.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Theq-analog of the Markoff injectivity conjecture over the language of a balanced.Combinatorial Theory, 2(1):article no

Reference 15

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Observation 0e762a9c-d9e7-4058-a83b-425ab5e5f14a · outbound

This paper cites 102223, 28 pp., 2021.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations 102223, 28 pp., 2021

Reference 16

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Observation 9642ab72-b6d6-4675-99e1-7e685ab201d3 · outbound

This paper cites On radius of convergence ofq-deformed real numbers.Moscow Mathematical Journal, 24(1):1–19, 2024.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations On radius of convergence ofq-deformed real numbers.Moscow Mathematical Journal, 24(1):1–19, 2024

Reference 17

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Observation 120aa51e-9532-460f-be8a-c0f00a2a09f9 · outbound

This paper cites Cluster algebras and Jones polynomials.Selecta Mathematica, 25(4):article article no.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Cluster algebras and Jones polynomials.Selecta Mathematica, 25(4):article article no

Reference 18

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Observation 89bd9b05-109e-474d-bd9e-759d46ac8cbd · outbound

This paper cites On a rank-unimodality conjecture of Morier-Genoud and Ovsienko.Discrete Mathematics, 344(8):article no.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations On a rank-unimodality conjecture of Morier-Genoud and Ovsienko.Discrete Mathematics, 344(8):article no

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T22:07:44.944088Z

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Observation aff3baa6-e41d-4458-9dde-78df240f20b7 · outbound

This paper cites Farey boat: continued fractions and triangulations, modular group and polygon dissections.Jahresbericht der Deutschen Mathematiker-Vereinigung, 121:91–136, 2019.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Farey boat: continued fractions and triangulations, modular group and polygon dissections.Jahresbericht der Deutschen Mathematiker-Vereinigung, 121:91–136, 2019

Reference 20

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Observation e4cd30b4-64ee-4dce-a879-11223a795609 · outbound

This paper cites In Forum of Mathematics, Sigma, volume 8, page e13, 2020.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations In Forum of Mathematics, Sigma, volume 8, page e13, 2020

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T22:07:44.944088Z

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Observation 40011fd1-ff17-4c58-8321-965fb0f1f021 · outbound

This paper cites Quantum numbers andq-deformed Conway–Coxeter friezes.The Mathematical Intelligencer, 43(2):61–70, 2021.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Quantum numbers andq-deformed Conway–Coxeter friezes.The Mathematical Intelligencer, 43(2):61–70, 2021

Reference 22

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Observation d4488c00-fb82-46bb-a0cb-fe363f40ff83 · outbound

This paper cites Sl 2(Z)-tilings of the torus, Coxeter–Conway friezes and Farey triangulations.L’Enseignement Math´ ematique, 61(1):71–92, 2015.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Sl 2(Z)-tilings of the torus, Coxeter–Conway friezes and Farey triangulations.L’Enseignement Math´ ematique, 61(1):71–92, 2015

Reference 23

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Observation de12cb57-6881-4e5e-af58-172001f115fb · outbound

This paper cites Cluster variables, ancestral triangles and Alexander polynomials.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Cluster variables, ancestral triangles and Alexander polynomials

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-28T22:07:44.944088Z

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Observation ff3e599c-82bd-419d-b8cd-c41f63f63ef7 · outbound

This paper cites Oriented posets, rank matrices andq-deformed Markov numbers.Discrete Mathematics, 348(2):article no.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Oriented posets, rank matrices andq-deformed Markov numbers.Discrete Mathematics, 348(2):article no

Reference 25

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Observation 0c8d1cca-fd90-41ac-96b0-1e87b4de0273 · outbound

This paper cites Rank polynomials of fence posets are unimodal.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Rank polynomials of fence posets are unimodal

Reference 26

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Observation c8190f8a-6239-4288-97eb-bb94909e894e · outbound

This paper cites Towards quantized complex numbers:q-deformed gaussian integers and the picard group.Open Communications in Nonlinear Mathematical Physics, 1:73–93, 2021.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Towards quantized complex numbers:q-deformed gaussian integers and the picard group.Open Communications in Nonlinear Mathematical Physics, 1:73–93, 2021

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-28T22:07:44.944088Z

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Observation 7b37e04c-2b26-41e1-8a9e-1509e72cd734 · outbound

This paper cites F-polynomial formula from continued fractions.Journal of Algebra, 509:467–475, 2018.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations F-polynomial formula from continued fractions.Journal of Algebra, 509:467–475, 2018

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-28T22:07:44.944088Z

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Observation 3dd36915-5987-452c-85c6-40cdd415133f · outbound

This paper cites On radiuses of convergence ofq-metallic numbers and relatedq-rational numbers.Research in Number Theory, 8(3):article no.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations On radiuses of convergence ofq-metallic numbers and relatedq-rational numbers.Research in Number Theory, 8(3):article no

Reference 29

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Observation 56147d37-4587-455b-87c4-f9598a8593fc · outbound

This paper cites Corrigendum to: On radiuses of convergence ofq-metallic numbers and relatedq-rational numbers.Research in Number Theory, 9(2):article no.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations Corrigendum to: On radiuses of convergence ofq-metallic numbers and relatedq-rational numbers.Research in Number Theory, 9(2):article no

Reference 30

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Observation 4f24473a-a251-4f3b-a55e-d01f407eda9a · outbound

This paper cites The modular surface and continued fractions.Journal of the London Mathematical Society, 2(1):69–80, 1985.

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations The modular surface and continued fractions.Journal of the London Mathematical Society, 2(1):69–80, 1985

Reference 31

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