Paper Citation Record · LEDGER

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions

As of 12 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2507.23460.

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

pith.paper-citation-record.v1
2507.23460 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:52:09.233436Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

35 of 35 outbound references displayed

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verified fuzzy14
unresolved13
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External citation measurements

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Outbound references

Observation 83ec425f-6044-4061-bbc9-82e384dfe6ff · outbound

This paper cites Armstrong, Generalized noncrossing partitions and combinatorics of Coxeter groups , vol.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Armstrong, Generalized noncrossing partitions and combinatorics of Coxeter groups , vol

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.713807Z

Source-reported events for the cited work

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Observation 9d1d70b8-4749-4799-aaf6-fb3e3ffe1650 · outbound

This paper cites Multicolored Temperley-Lieb lattice models. The ground state.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Multicolored Temperley-Lieb lattice models. The ground state

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:52:09.466471Z

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Observation 39243ced-1baf-42af-8d8e-9a5c03bf0a5b · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.704079Z

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Observation 58f02cb3-b992-43cf-a246-7e61a4a1fd9e · outbound

This paper cites Biane, Some properties of crossings and partitions , Discrete Math.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Biane, Some properties of crossings and partitions , Discrete Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.694504Z

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Observation 28ad90cb-4b11-4907-a8e8-262f6ead1d79 · outbound

This paper cites Bisch and V.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Bisch and V

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.685256Z

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Observation 3e8e1c19-c225-41c6-8e6e-96fa87cf36f6 · outbound

This paper cites 184, Dekker, New York, 1997, pp.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions 184, Dekker, New York, 1997, pp

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.676223Z

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Observation 5e9741ea-00a0-4e19-8043-6a0dbbc3735e · outbound

This paper cites Brenti, Kazhdan—Lusztig and R-polynomials, Young’s lattice, and Dyck partitions , Pacific J.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Brenti, Kazhdan—Lusztig and R-polynomials, Young’s lattice, and Dyck partitions , Pacific J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.667140Z

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Observation 87283ab2-2170-4c0c-9e0b-ffe044dd0c63 · outbound

This paper cites The two-boundary Temperley-Lieb algebra.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions The two-boundary Temperley-Lieb algebra

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:52:09.451576Z

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Observation da54dc15-ebc4-4dad-ab63-6a17eecf0867 · outbound

This paper cites Magic in the spectra of the XXZ quantum chain with boundaries at Delta=0 and Delta=-1/2.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Magic in the spectra of the XXZ quantum chain with boundaries at Delta=0 and Delta=-1/2

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:52:09.436336Z

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Observation 6cee610e-4c2a-4b6d-bf34-42b16d2bf04b · outbound

This paper cites Bethe Ansatz for the Temperley-Lieb loop model with open boundaries.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Bethe Ansatz for the Temperley-Lieb loop model with open boundaries

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:52:09.420589Z

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Observation 469c6986-98cb-459b-8b66-07632702d590 · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.658005Z

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Observation 646a7dd5-6e59-4072-b9bb-5d2416d911d8 · outbound

This paper cites 40 (1982), no.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions 40 (1982), no

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.648887Z

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Observation 57f45ad8-6bcb-4709-8353-607e30a9b3af · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.640144Z

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Observation ca9d4357-4c46-49be-9a27-ee93c578c919 · outbound

This paper cites New Integrable Lattice Models From Fuss-Catalan Algebras.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions New Integrable Lattice Models From Fuss-Catalan Algebras

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:52:09.405753Z

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Observation 04f57fd4-ccb6-4df8-9598-d65bd2b8fca4 · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.629071Z

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Observation 5c347848-1c57-47d8-afbb-44e20c38c698 · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.618681Z

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Observation cbb1d1ee-31bb-49b1-bef7-e64f3d0ecfe0 · outbound

This paper cites Kreweras, Sur les partitions non croisees d’un cycle , Discrete Math.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Kreweras, Sur les partitions non croisees d’un cycle , Discrete Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.608451Z

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Observation 44f4e29f-3c89-4609-9f0e-2d9361fc417c · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.598581Z

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Observation 2caaaca5-cc3d-4a7b-b6ce-30d1d0e6442d · outbound

This paper cites On an algebraic approach to higher dimensional statistical mechanics.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions On an algebraic approach to higher dimensional statistical mechanics

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T10:52:09.180662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9594cc0c-3fdd-483c-82a4-2281eb08420a · outbound

This paper cites The Blob Algebra and the Periodic Temperley-Lieb Algebra.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions The Blob Algebra and the Periodic Temperley-Lieb Algebra

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T10:52:09.184002Z

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Unavailable: canonical work link unavailable.

Observation 5ea18e21-bee3-4617-9e45-cf60a662626b · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.588659Z

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Observation da761c10-9aea-4b88-94c0-d98c3a1d3272 · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 22

Resolution: verified exact; raw_fallback, observed 2026-08-06T10:52:09.365796Z

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Observation eb9456ba-05fa-44d4-aee2-b266bb16f836 · outbound

This paper cites Poupard, Etude et denombrement paralleles des partitions non-croisees d’un cycle et des decoupages d’un polygone convexe, Discrete Math.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Poupard, Etude et denombrement paralleles des partitions non-croisees d’un cycle et des decoupages d’un polygone convexe, Discrete Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.578366Z

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Observation a6b0c061-267b-46ad-87db-4a8034d94c6c · outbound

This paper cites Sch¨ utzenberger,Promotion des morphismes d’en sembles ordonn´ es, Discrete Math.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Sch¨ utzenberger,Promotion des morphismes d’en sembles ordonn´ es, Discrete Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.567714Z

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Observation 610a9fec-c07c-475b-ada6-170603fd8d95 · outbound

This paper cites 17, Accad.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions 17, Accad

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.557617Z

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Observation d5d76a5e-f5ba-433b-ab04-58e5addc51c3 · outbound

This paper cites Louis-Pasteur Strasbourg, Strasbourg, 1976, Springer, coll.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Louis-Pasteur Strasbourg, Strasbourg, 1976, Springer, coll

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.547853Z

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Observation eca5e34f-6074-4e30-abd0-351cb5528860 · outbound

This paper cites Path representation of maximal parabolic Kazhdan-Lusztig polynomials.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Path representation of maximal parabolic Kazhdan-Lusztig polynomials

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:52:09.283481Z

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Observation 442235a8-5a19-4252-87b3-1e5087076358 · outbound

This paper cites Simion, Combinatorial statistics on non-crossing partitions , Journal of Combinatorial Theory, Series A 66 (1994), no.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Simion, Combinatorial statistics on non-crossing partitions , Journal of Combinatorial Theory, Series A 66 (1994), no

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.537759Z

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Observation d79c4f75-8b0b-4c4f-a7eb-7218ec76a9ba · outbound

This paper cites 217 (2000), no.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions 217 (2000), no

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.528133Z

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Observation 069e8023-b182-4673-bf63-069c2ebfeaff · outbound

This paper cites Simion and D.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Simion and D

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:52:09.517922Z

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Observation cb958853-abf1-4bb4-bdd3-b95d32b38660 · outbound

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Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.507923Z

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Observation d260d783-e2db-46d6-8024-4ba8cc981e28 · outbound

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Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.498333Z

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Observation 462846f0-cd19-47f9-8217-5b7fdc9550af · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.488135Z

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Observation c59cd839-576b-4719-acac-de2d7d9f5056 · outbound

This paper cites More bijective Catalan combinatorics on permutations and on signed permutations.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions More bijective Catalan combinatorics on permutations and on signed permutations

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:52:09.269079Z

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Observation ad412d6d-0eb1-4f0f-9c02-49930ebeac1b · outbound

This paper cites an unresolved cited work.

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:52:09.477606Z

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