Paper Citation Record · LEDGER

Every finitely generated abelian group is the class group of a generalized cluster algebra

As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2411.14963.

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

pith.paper-citation-record.v1
2411.14963 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:55:18.243228Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

27 of 27 outbound references displayed

verified exact15
verified fuzzy0
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6b1f8c6d-79e4-4007-bcc2-4960211c9c10 · outbound

This paper cites [Cla66] Luther Claborn.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Cla66] Luther Claborn

Reference 5

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.515621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c2cea172-629e-4e32-8727-3b9df0b5f0d3 · outbound

This paper cites [FFN+24] Victor Fadinger, Sophie Frisch, Sarah Nakato, Daniel Smertnig, and Daniel Windisch.

Every finitely generated abelian group is the class group of a generalized cluster algebra [FFN+24] Victor Fadinger, Sophie Frisch, Sarah Nakato, Daniel Smertnig, and Daniel Windisch

Reference 8

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.483539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation acc2fe96-eddd-44f7-8572-267f9de57d1f · outbound

This paper cites [Fos73] Robert M.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Fos73] Robert M

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-12T14:55:18.725265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7726cc2f-e20d-4c69-97de-3f3af7d994c5 · outbound

This paper cites [GLS13] Christof Geiss, Bernard Leclerc, and Jan Schr¨ oer.

Every finitely generated abelian group is the class group of a generalized cluster algebra [GLS13] Christof Geiss, Bernard Leclerc, and Jan Schr¨ oer

Reference 14

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.449218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4eb0bfb3-eeb6-4d75-8661-eb3f83771353 · outbound

This paper cites Factorial cluster algebras.

Every finitely generated abelian group is the class group of a generalized cluster algebra Factorial cluster algebras

Reference 15

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T14:55:18.567471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 19faaf33-77d2-4d3c-99aa-18ed8f455e0e · outbound

This paper cites an unresolved cited work.

Every finitely generated abelian group is the class group of a generalized cluster algebra Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.234516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8701cb14-a1c7-4c3a-8761-0a8178d05cb5 · outbound

This paper cites [LP16] Thomas Lam and Pavlo Pylyavskyy.

Every finitely generated abelian group is the class group of a generalized cluster algebra [LP16] Thomas Lam and Pavlo Pylyavskyy

Reference 1972

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.418295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d7f7e7c9-2a76-47b4-b1dc-1470e750a372 · outbound

This paper cites [Ros76] Michael Rosen.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Ros76] Michael Rosen

Reference 1973

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.371694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ea6175d1-c597-45bc-b693-9b145efffe07 · outbound

This paper cites 24 MARA POMPILI [R W21] Roswitha Rissner and Daniel Windisch.

Every finitely generated abelian group is the class group of a generalized cluster algebra 24 MARA POMPILI [R W21] Roswitha Rissner and Daniel Windisch

Reference 1976

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.357611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ce815359-4644-4afc-a2ad-8685f4747fa7 · outbound

This paper cites [Kel10] Bernhard Keller.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Kel10] Bernhard Keller

Reference 1999

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.430131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 98231fec-77b3-434f-8e83-70b2cbfbf769 · outbound

This paper cites [FZ03] Sergey Fomin and Andrei Zelevinsky.

Every finitely generated abelian group is the class group of a generalized cluster algebra [FZ03] Sergey Fomin and Andrei Zelevinsky

Reference 2002

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.171465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cb56007-6b2f-4e09-bd14-59f7aadeca71 · outbound

This paper cites [FZ07] Sergey Fomin and Andrei Zelevinsky.

Every finitely generated abelian group is the class group of a generalized cluster algebra [FZ07] Sergey Fomin and Andrei Zelevinsky

Reference 2003

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.175384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61aecab1-6e8f-4ee5-88d7-a400db2e516f · outbound

This paper cites EVERY F.G.

Every finitely generated abelian group is the class group of a generalized cluster algebra EVERY F.G

Reference 2005

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.140141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca7cd48a-f9c7-482a-b968-11c2f69dccb4 · outbound

This paper cites [GELS19] Ana Garcia Elsener, Philipp Lampe, and Daniel Smertnig.

Every finitely generated abelian group is the class group of a generalized cluster algebra [GELS19] Ana Garcia Elsener, Philipp Lampe, and Daniel Smertnig

Reference 2007

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.179805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd368233-3bce-4e7c-bc1f-808a6be2678b · outbound

This paper cites [CS13] Leonid Chekhov and Michael Shapiro.

Every finitely generated abelian group is the class group of a generalized cluster algebra [CS13] Leonid Chekhov and Michael Shapiro

Reference 2009

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.503344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ed1a4ab8-2b32-43cc-9507-be9e5faa58d5 · outbound

This paper cites [DL22] Qiuning Du and Fang Li.

Every finitely generated abelian group is the class group of a generalized cluster algebra [DL22] Qiuning Du and Fang Li

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.158487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b39639ec-3730-4697-bfdb-a81a61ed7d98 · outbound

This paper cites University of Graz, Department of Mathematics and Scientific Computing, NA WI Graz, Heinrichstrasse 36, 8010 Graz, Austria Email address : mara.pompili@uni-graz.at.

Every finitely generated abelian group is the class group of a generalized cluster algebra University of Graz, Department of Mathematics and Scientific Computing, NA WI Graz, Heinrichstrasse 36, 8010 Graz, Austria Email address : mara.pompili@uni-graz.at

Reference 2014

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.301148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f4e3898d-517c-481a-9fba-17b2ecfc2116 · outbound

This paper cites [Per23] Giulio Peruginelli.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Per23] Giulio Peruginelli

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.209772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68f0b2c7-e01b-4e4c-a5ca-ebef461555e2 · outbound

This paper cites [Wil14] Lauren K.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Wil14] Lauren K

Reference 2017

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.322574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 53f59688-0ba1-460a-ba6b-b380795390c8 · outbound

This paper cites [Kai99] Florian Kainrath.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Kai99] Florian Kainrath

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.197178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5678cbc1-3aec-4f45-a158-4eeda129db79 · outbound

This paper cites [GHK06] Alfred Geroldinger and Franz Halter-Koch.

Every finitely generated abelian group is the class group of a generalized cluster algebra [GHK06] Alfred Geroldinger and Franz Halter-Koch

Reference 2019

Resolution: metadata mismatch; raw_fallback, observed 2026-08-12T14:55:18.646087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0d20d1e1-258d-459d-9b63-26af28100a3d · outbound

This paper cites [BFZ05] Arkady Berenstein, Sergey Fomin, and Andrei Zelevinsky.

Every finitely generated abelian group is the class group of a generalized cluster algebra [BFZ05] Arkady Berenstein, Sergey Fomin, and Andrei Zelevinsky

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.135563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da53e900-eea7-43af-9cb8-01f21b05c9ae · outbound

This paper cites [Sch16] W.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Sch16] W

Reference 2021

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.345699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1658e7f9-8192-46b7-bcea-dec64bcc1e37 · outbound

This paper cites [BCDX20] Liqian Bai, Xueqing Chen, Ming Ding, and Fan Xu.

Every finitely generated abelian group is the class group of a generalized cluster algebra [BCDX20] Liqian Bai, Xueqing Chen, Ming Ding, and Fan Xu

Reference 2022

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.548733Z

Source-reported events for the cited work

correction dated 2021-11-29. Source: crossref record 10.1007/s00233-021-10243-5->10.1007/s00233-021-10231-9:correction, observed 2026-07-11T03:01:55.460606+00:00. This notice travels one citation hop only.

Observation ea1cfe53-d4c4-458d-880f-a41e79e6faa8 · outbound

This paper cites [Pom25] Mara Pompili.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Pom25] Mara Pompili

Reference 2023

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.397667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9a6c0f12-cc32-4439-9003-e8a783164257 · outbound

This paper cites [Cha22] Gyu Whan Chang.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Cha22] Gyu Whan Chang

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-12T14:55:18.144248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 987955ad-9840-4079-a4b7-f860eadfae4f · outbound

This paper cites [Ros73] Michael Rosen.

Every finitely generated abelian group is the class group of a generalized cluster algebra [Ros73] Michael Rosen

Reference 2025

Resolution: verified exact; doi, observed 2026-08-12T14:55:18.384831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.