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Paper Citation Record · LEDGER

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras

As of 4 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2601.18636.

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

pith.paper-citation-record.v1
2601.18636 v3

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:01:46.783338Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+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

12 of 12 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ef931df1-85c1-48ca-8381-f76e06b145de · outbound

This paper cites Characteristic equation for symplectic groupoid and cluster algebras.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Characteristic equation for symplectic groupoid and cluster algebras

Reference 6

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no resolver link, observed 2026-08-03T08:01:45.954062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:45.954062Z digest=sha256:b88432a7ce52ef61940659077c75fc838f18d689a43b40d275557ed7c0aa0816

Observation b9dcda4e-ad49-4410-a3b1-a988169aea0f · outbound

This paper cites Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces

Reference 8

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no resolver link, observed 2026-08-03T08:01:46.255054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:46.255054Z digest=sha256:001f7e02971a41b8ee81ba1163f924f05ece2950fffa8debce142a52a2ca6e47

Observation a5bca359-eaf1-4384-97f4-9a002f1bfb2f · outbound

This paper cites Bracelets bases are theta bases.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Bracelets bases are theta bases

Reference 11

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unresolved
no resolver link, observed 2026-08-03T08:01:46.649728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:46.649728Z digest=sha256:4c84dc089a9037af463347e8e943b11e6c9305004e778816a394593dc9b12252

Observation 2d8738f4-0726-4c2a-b0eb-65f0dd8ab6fc · outbound

This paper cites Cluster Nature of Quantum Groups.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Cluster Nature of Quantum Groups

Reference 1990

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no resolver link, observed 2026-08-03T08:01:46.783338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:46.783338Z digest=sha256:019506c5d972f951b7281e0b8705d67001664367f53ae406b923531781671115

Observation 6db6044f-b918-4d05-a44d-003af7faa7e5 · outbound

This paper cites Lecture Notes on Quantum Teichmuller Theory.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Lecture Notes on Quantum Teichmuller Theory

Reference 2004

Resolution
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no resolver link, observed 2026-08-03T08:01:45.563699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:45.563699Z digest=sha256:4cc8cbca41d84d999630966c0e31b677c330c1e51c6fb80f71becd575f3567c5

Observation 36c285c3-c354-428d-9cd9-66efe06bf5bd · outbound

This paper cites Chekhov and M.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Chekhov and M

Reference 2007

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unresolved
no resolver link, observed 2026-08-03T08:01:45.677572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:45.677572Z digest=sha256:78bbded7adf7a640bbd3ca773f23bb0362498216e1e57a2ea45a6a1eb9f7e79c

Observation 0d1da3fa-84e7-4d9c-821e-58f24f15072e · outbound

This paper cites Birational Weyl group actions and q-Painleve equations via mutation combinatorics in cluster algebras.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Birational Weyl group actions and q-Painleve equations via mutation combinatorics in cluster algebras

Reference 2008

Resolution
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no resolver link, observed 2026-08-03T08:01:46.509463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:46.509463Z digest=sha256:02144b1dbec0672803cca08ee5144955d66dd7ec2cb097fdb32207fa419e8035

Observation 032b6614-f637-427d-8b8f-47b6c48b8158 · outbound

This paper cites Description of moduli space of projective structures via fat graphs.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Description of moduli space of projective structures via fat graphs

Reference 2009

Resolution
unresolved
no resolver link, observed 2026-08-03T08:01:46.085976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:46.085976Z digest=sha256:240451a6b33855d5649397e3158d11488044c14473a6466d1ff11de2f4e44236

Observation ab23075a-30ee-4afc-abcc-0c15e7f019df · outbound

This paper cites Stability structures, motivic Donaldson-Thomas invariants and cluster transformations.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Reference 2013

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no resolver link, observed 2026-08-03T08:01:46.375791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:46.375791Z digest=sha256:afdde8fc25d2003d218887e35cae36c38ac430f81fbab217190c020249c42311

Observation 855d8087-0630-471b-a39a-64d4051a9a5a · outbound

This paper cites The geometry of cluster varieties from surfaces.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras The geometry of cluster varieties from surfaces

Reference 2017

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no resolver link, observed 2026-08-03T08:01:45.403724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:45.403724Z digest=sha256:08017ae9c68b199c030a6e98785f7f67fbd501c31811749447b62c5080c300e5

Observation ff50dd2f-9dde-413f-bdd7-5ed844ac4f61 · outbound

This paper cites Brodsky, P.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Brodsky, P

Reference 2018

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no resolver link, observed 2026-08-03T08:01:45.495122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:45.495122Z digest=sha256:7a616f9d0b0ba6b16b9bc2645b6098bc52c759045d001d205836221a3a04ff52

Observation 09e5b510-2aca-440c-8ae3-2309b24da532 · outbound

This paper cites Symplectic groupoid and cluster algebras.

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras Symplectic groupoid and cluster algebras

Reference 2023

Resolution
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no resolver link, observed 2026-08-03T08:01:45.788212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:01:45.788212Z digest=sha256:14a8482124dc9260ac485605a81b0f8f356d5bb025ebe411f5b1340ee3c9de84

Pith citing papers

No inbound Pith citation observations are available.