Paper Citation Record · LEDGER

Mutation-preserving generalized cluster algebras and Laurent mutation invariants

As of 15 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2608.10551.

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pith.paper-citation-record.v1
2608.10551 v1

Coverage vector

measured 54 of 54 reference resolution

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measured 0 of 1 external citation measurements

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Reference resolution

54 of 54 outbound references displayed

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Outbound references

Observation 9277a4a7-92e1-4fa0-a2a1-050193d9c860 · outbound

This paper cites Aigner Markov's theorem and 100 years of the uniqueness conjecture: a mathematical journal from irrational numbers to perfect matchings Springer 2013.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Aigner Markov's theorem and 100 years of the uniqueness conjecture: a mathematical journal from irrational numbers to perfect matchings Springer 2013

Reference 1

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Observation acd05204-8693-4460-b326-cc7db56869dd · outbound

This paper cites Beineke, T.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Beineke, T

Reference 2

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Observation 7f1d9576-c2c3-4bfd-9b60-8380021ab43d · outbound

This paper cites Orderings of Generalized k-Markov Numbers.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Orderings of Generalized k-Markov Numbers

Reference 3

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 4

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 5

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 6

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Observation c9a8a2fb-a8e8-4254-a490-19cbefc57bb2 · outbound

This paper cites Positivity of generalized cluster scattering diagrams.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Positivity of generalized cluster scattering diagrams

Reference 7

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 8

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 9

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 10

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 11

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Observation 0e84d2d7-929d-40ba-9a03-3d53642fa919 · outbound

This paper cites Chekhov, M.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Chekhov, M

Reference 12

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Observation 537911ab-f8eb-43f8-85ad-2b2de69b236b · outbound

This paper cites Derksen, J.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Derksen, J

Reference 13

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Observation 90bc4ae1-7a75-4f0f-9469-8dee00158c76 · outbound

This paper cites Derksen, J.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Derksen, J

Reference 14

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 15

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Observation b12fc4af-98a4-4e2d-8eaf-8e4971db8318 · outbound

This paper cites Fujiwara, Y.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Fujiwara, Y

Reference 16

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Observation 9250d14d-e1d5-4bc6-9377-6a8cb03ea277 · outbound

This paper cites Fomin, S.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Fomin, S

Reference 17

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Observation 3ba88434-839c-4133-b903-0a16e37fb76f · outbound

This paper cites Fomin, S.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Fomin, S

Reference 18

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Observation e67a51f1-b575-4c45-b60c-7cff41b01ff2 · outbound

This paper cites Fomin, N.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Fomin, N

Reference 19

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Observation b1803c0b-21c0-46b1-a1e1-938741afaa38 · outbound

This paper cites Frobenius \"Uber die Markoffschen Zahlen Preuss.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Frobenius \"Uber die Markoffschen Zahlen Preuss

Reference 20

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Observation a39a4657-274d-4664-8908-606c2b524122 · outbound

This paper cites Fomin, A.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Fomin, A

Reference 21

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Observation e5367c79-46b2-45e2-a45a-dfee6cfaecae · outbound

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Fomin, A

Reference 22

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Observation 6d0df47f-c658-46d7-a07a-9ac52184143a · outbound

This paper cites Fomin, A.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Fomin, A

Reference 23

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Observation 24b4a9a7-b3ad-4c28-b5d2-948a8255cd49 · outbound

This paper cites Gantmacher The Theory of Matrices , AMS Chelsea, American Mathematical Society: Providence, Rhode Island, 1998 , Volume II.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Gantmacher The Theory of Matrices , AMS Chelsea, American Mathematical Society: Providence, Rhode Island, 1998 , Volume II

Reference 24

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Observation 2985fe12-dd91-44f0-950d-cdff79ce900e · outbound

This paper cites Grothendieck, J.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Grothendieck, J

Reference 25

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Observation a3aebe4b-57a7-4ea5-bf17-af34dddab329 · outbound

This paper cites Gross, P.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Gross, P

Reference 26

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Observation 471ab0c9-2b89-48b5-ad71-c5379d0ef126 · outbound

This paper cites Greenberg, D.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Greenberg, D

Reference 27

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Observation 7aea45de-70b8-4e32-acb7-a7290c0c64be · outbound

This paper cites Gyoda, K.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Gyoda, K

Reference 28

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Observation 4267ad2a-f98b-4b56-88fc-8a38e04203a5 · outbound

This paper cites Uniqueness theorem of generalized Markov numbers that are prime powers.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Uniqueness theorem of generalized Markov numbers that are prime powers

Reference 29

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This paper cites Goncharov, Z.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Goncharov, Z

Reference 30

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Observation e7b850ed-9864-480c-a681-d15d34d1b5c8 · outbound

This paper cites Gekhtman, M.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Gekhtman, M

Reference 31

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Observation 72fb7312-9cde-41c2-a7f5-8ed692da3136 · outbound

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Gekhtman, M

Reference 32

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This paper cites On the monotonicity of the generalized Markov numbers.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants On the monotonicity of the generalized Markov numbers

Reference 33

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This paper cites Hurwitz \"U ber eine Aufgabe der unbestimmten Analysis Arch.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Hurwitz \"U ber eine Aufgabe der unbestimmten Analysis Arch

Reference 34

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Hong and S.-J

Reference 35

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Observation 49452c15-16af-4b1d-b46e-d5aae28fba8f · outbound

This paper cites Hernandez, B.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Hernandez, B

Reference 36

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 37

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This paper cites Kaufman Mutation invariant functions on cluster ensembles J.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Kaufman Mutation invariant functions on cluster ensembles J

Reference 38

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Observation 8c6203cb-d08e-4fce-a7b5-bfd1fb9be813 · outbound

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Keller, D

Reference 39

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Kuniba, T

Reference 40

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 41

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 42

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Lampe Diophantine equations via cluster transformations J

Reference 43

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This paper cites Markov Sur les formes quadratiques binaires ind\'efinies Math.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Markov Sur les formes quadratiques binaires ind\'efinies Math

Reference 44

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Muller Locally acyclic cluster algebras Adv

Reference 45

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Muller = for locally acyclic cluster algebras SIGMA Symmetry Integrability Geom

Reference 46

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Observation c5559887-9aac-416c-87ab-581a2895a65e · outbound

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Super Markov Numbers and Signed Double Dimer Covers

Reference 47

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This paper cites Nakanishi Structure of seeds in generalized cluster algebras Pacific J.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Nakanishi Structure of seeds in generalized cluster algebras Pacific J

Reference 48

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This paper cites Nakanishi Cluster algebras and scattering diagrams MSJ Mem.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Nakanishi Cluster algebras and scattering diagrams MSJ Mem

Reference 49

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Nakanishi, D

Reference 50

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This paper cites Nakanishi, A.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Nakanishi, A

Reference 51

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This paper cites Propp The combinatorics of frieze patterns and Markoff numbers Integers 20 2020.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Propp The combinatorics of frieze patterns and Markoff numbers Integers 20 2020

Reference 52

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Mutation-preserving generalized cluster algebras and Laurent mutation invariants Unresolved cited work

Reference 53

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Observation a8fee966-cd44-4808-9679-994177bc9a99 · outbound

This paper cites Reading, S.

Mutation-preserving generalized cluster algebras and Laurent mutation invariants Reading, S

Reference 54

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