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Paper Citation Record · LEDGER

Top to random and reverse: analysis of a new descent algebra shuffle

As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2508.06740.

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

pith.paper-citation-record.v1
2508.06740 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:44:06.804417Z

measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

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Source: cited_works

Reference resolution

27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation b5ce8f96-0903-48b5-999b-0692e0d606ab · outbound

This paper cites Hyperplane arrangement face algebras and their associated Markov chains.

Top to random and reverse: analysis of a new descent algebra shuffle Hyperplane arrangement face algebras and their associated Markov chains

Reference 1

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Source-reported events for the cited work

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Observation 770497d3-b2b3-4c26-b9ed-3d30c279f52b · outbound

This paper cites Noncommutative character theory of the symmetric group.

Top to random and reverse: analysis of a new descent algebra shuffle Noncommutative character theory of the symmetric group

Reference 2

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Observation 309e1879-5952-43db-a949-9da276c3deb9 · outbound

This paper cites Semigroup and ring theoretical methods in probability.

Top to random and reverse: analysis of a new descent algebra shuffle Semigroup and ring theoretical methods in probability

Reference 3

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Observation 9a40378e-204b-46ac-9601-d07b69628999 · outbound

This paper cites Semigroups, rings, and Markov chains.

Top to random and reverse: analysis of a new descent algebra shuffle Semigroups, rings, and Markov chains

Reference 4

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Observation 91c79929-5d58-4ffe-a80c-d6620605c1ac · outbound

This paper cites Mathematical developments from the analysis of riffle shuffling.

Top to random and reverse: analysis of a new descent algebra shuffle Mathematical developments from the analysis of riffle shuffling

Reference 5

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Observation a59ad7a6-a38c-498b-9baa-e370dae6883e · outbound

This paper cites The mathematics of shuffling cards.

Top to random and reverse: analysis of a new descent algebra shuffle The mathematics of shuffling cards

Reference 6

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Observation 4b962bb5-823f-4de2-892e-0828c99eb901 · outbound

This paper cites Generating a random permutation with random transpositions.

Top to random and reverse: analysis of a new descent algebra shuffle Generating a random permutation with random transpositions

Reference 7

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Observation 9e63d914-27a0-430e-8b0e-818b3fd54f3c · outbound

This paper cites Spectral analysis of random-to-random Markov chains.

Top to random and reverse: analysis of a new descent algebra shuffle Spectral analysis of random-to-random Markov chains

Reference 8

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Observation eefd3faf-1750-4736-9ee8-b63160e3da65 · outbound

This paper cites An Introduction to Algebraic Combinatorics.

Top to random and reverse: analysis of a new descent algebra shuffle An Introduction to Algebraic Combinatorics

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 16c021ad-0efd-49c8-a947-f65dd9578b5d · outbound

This paper cites Is this sum of cycles invertible in QSn? MathOverflow.

Top to random and reverse: analysis of a new descent algebra shuffle Is this sum of cycles invertible in QSn? MathOverflow

Reference 10

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Observation 243089ac-e2a2-4d32-a5bd-8ad74c7206f7 · outbound

This paper cites The one-sided cycle shuffles, and other mysteries and wonders of the symmetric group algebra [talk slides].

Top to random and reverse: analysis of a new descent algebra shuffle The one-sided cycle shuffles, and other mysteries and wonders of the symmetric group algebra [talk slides]

Reference 11

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Observation 664581da-1d5a-4f83-9208-61a410a6fbb0 · outbound

This paper cites The one-sided cycle shuffles in the symmetric group algebra.

Top to random and reverse: analysis of a new descent algebra shuffle The one-sided cycle shuffles in the symmetric group algebra

Reference 12

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Observation 980d8127-b1ce-4b70-bf57-ff0f2825f7a7 · outbound

This paper cites The enriched $q$-monomial basis of the quasisymmetric functions.

Top to random and reverse: analysis of a new descent algebra shuffle The enriched $q$-monomial basis of the quasisymmetric functions

Reference 13

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Observation 084c02f2-55cc-45d6-ae10-7762b7238daa · outbound

This paper cites A semigroup approach to wreath-product extensions of Solomon’s descent algebras.

Top to random and reverse: analysis of a new descent algebra shuffle A semigroup approach to wreath-product extensions of Solomon’s descent algebras

Reference 14

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Observation 818afdb2-47b7-43d6-ace3-95fa30c2215c · outbound

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Top to random and reverse: analysis of a new descent algebra shuffle The miracle of integer eigenvalues

Reference 15

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Top to random and reverse: analysis of a new descent algebra shuffle Noncommutative symmetric functions. II: Transformations of alphabets

Reference 16

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Top to random and reverse: analysis of a new descent algebra shuffle A tour of representation theory

Reference 17

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c239de5c-9e17-456a-a68a-1a99c7dba688 · outbound

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Top to random and reverse: analysis of a new descent algebra shuffle On the matrix occurring in a linear search problem

Reference 18

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Observation 035e3f1c-039e-49f5-b468-3bdd6e704ab0 · outbound

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Top to random and reverse: analysis of a new descent algebra shuffle Spectra of Symmetrized Shuffling Operators

Reference 19

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Observation 62898a4c-2d53-44bc-a94a-d01ef7aa3c5d · outbound

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Top to random and reverse: analysis of a new descent algebra shuffle Iterated-Integral Signatures in Machine Learning

Reference 20

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Top to random and reverse: analysis of a new descent algebra shuffle Unresolved cited work

Reference 21

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Top to random and reverse: analysis of a new descent algebra shuffle Hyperplane arrangements and descent algebras

Reference 22

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Observation 3b9505a8-54cb-4a86-ae6a-56552f8da364 · outbound

This paper cites The descent algebra of the symmetric group.

Top to random and reverse: analysis of a new descent algebra shuffle The descent algebra of the symmetric group

Reference 23

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Observation 9677b20a-6c5d-489e-a462-7e396a302870 · outbound

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Top to random and reverse: analysis of a new descent algebra shuffle A Mackey formula in the group ring of a Coxeter group

Reference 24

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Observation f8977393-dfd3-4c82-8da1-20ce037dee13 · outbound

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Top to random and reverse: analysis of a new descent algebra shuffle Unresolved cited work

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Observation e72d8857-5620-4de6-b05d-563b4ecc0fe0 · outbound

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Top to random and reverse: analysis of a new descent algebra shuffle Unresolved cited work

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Observation 83ca855f-4018-4f76-934b-367f867d7abe · outbound

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Top to random and reverse: analysis of a new descent algebra shuffle Unresolved cited work

Reference 8926

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