Paper Citation Record · LEDGER

Gr\"obner Cones for Finite Type Cluster Algebras

As of 11 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2501.07065.

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

pith.paper-citation-record.v1
2501.07065 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:58:56.538787Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

19 of 19 outbound references displayed

verified exact1
verified fuzzy8
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4979c56-1c6c-4c0c-a008-abadefd22947 · outbound

This paper cites Tropical totally positive cluster varieties.

Gr\"obner Cones for Finite Type Cluster Algebras Tropical totally positive cluster varieties

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.427039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 615dd449-c9d1-435c-a0df-d5d9680d7695 · outbound

This paper cites Lie groups and L ie algebras.

Gr\"obner Cones for Finite Type Cluster Algebras Lie groups and L ie algebras

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.434192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c99d0512-654f-485e-9a16-e9853e37310a · outbound

This paper cites Degenerations to unobstructed F ano S tanley- R eisner schemes.

Gr\"obner Cones for Finite Type Cluster Algebras Degenerations to unobstructed F ano S tanley- R eisner schemes

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:56.829154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7c4173f9-eae5-4429-a75c-3485e60b3c32 · outbound

This paper cites Introduction to Cluster Algebras. Chapter 6.

Gr\"obner Cones for Finite Type Cluster Algebras Introduction to Cluster Algebras. Chapter 6

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.444791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6d0c70a-fd1c-4629-821a-fb3d3fecb494 · outbound

This paper cites Introduction to Cluster Algebras. Chapters 1-3.

Gr\"obner Cones for Finite Type Cluster Algebras Introduction to Cluster Algebras. Chapters 1-3

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.453512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c9dd32a-ea38-4eb1-a2ca-74ec96373666 · outbound

This paper cites Cluster algebras.

Gr\"obner Cones for Finite Type Cluster Algebras Cluster algebras

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.459581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 151e2398-d320-452f-9e6e-e19027d9f1ca · outbound

This paper cites Cluster algebras.

Gr\"obner Cones for Finite Type Cluster Algebras Cluster algebras

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.468582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f805b553-df4a-4f9b-b574-e10c0b80d2a3 · outbound

This paper cites Y -systems and generalized associahedra.

Gr\"obner Cones for Finite Type Cluster Algebras Y -systems and generalized associahedra

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:56.799536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 09d8a6f4-19bf-4d5d-bda9-a67c358e2ec5 · outbound

This paper cites Cluster algebras.

Gr\"obner Cones for Finite Type Cluster Algebras Cluster algebras

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.480117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e57b00c-9133-4a23-8482-7e8b193e88a4 · outbound

This paper cites Lie groups, L ie algebras, and representations , volume 222 of Graduate Texts in Mathematics.

Gr\"obner Cones for Finite Type Cluster Algebras Lie groups, L ie algebras, and representations , volume 222 of Graduate Texts in Mathematics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.487983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aed7e30b-55bc-431d-bb04-60892410d4de · outbound

This paper cites Humphreys.

Gr\"obner Cones for Finite Type Cluster Algebras Humphreys

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.493420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08834c9d-d471-4a2e-afd9-a93299b77814 · outbound

This paper cites Deformation Theory for Finite Cluster Complexes.

Gr\"obner Cones for Finite Type Cluster Algebras Deformation Theory for Finite Cluster Complexes

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:58:56.590519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f413d004-890d-43b0-95a0-b4024bc58d2f · outbound

This paper cites Gr\"obner cones for finite type cluster algebras.

Gr\"obner Cones for Finite Type Cluster Algebras Gr\"obner cones for finite type cluster algebras

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:56.755017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d2d8d328-d74f-4d19-a0ec-557b6c006fad · outbound

This paper cites The tropical G rassmannian.

Gr\"obner Cones for Finite Type Cluster Algebras The tropical G rassmannian

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:56.509815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1451a2fd-2c26-4c92-a749-69ff4172db75 · outbound

This paper cites Exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients.

Gr\"obner Cones for Finite Type Cluster Algebras Exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:56.728038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1ac83d59-17a8-418c-9afd-1eb1c6c4a514 · outbound

This paper cites Polyhedral models for generalized associahedra via C oxeter elements.

Gr\"obner Cones for Finite Type Cluster Algebras Polyhedral models for generalized associahedra via C oxeter elements

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:56.712421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d20f1259-7887-49ac-a4a1-995d6b7d159d · outbound

This paper cites Algorithms in invariant theory.

Gr\"obner Cones for Finite Type Cluster Algebras Algorithms in invariant theory

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:56.695010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a386cdfb-1ddc-4705-9967-df6746919f0f · outbound

This paper cites S ageMath, the S age M athematics S oftware S ystem ( V ersion 9.5) , 2022.

Gr\"obner Cones for Finite Type Cluster Algebras S ageMath, the S age M athematics S oftware S ystem ( V ersion 9.5) , 2022

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:56.676250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f28a6746-427f-44c6-97f2-d39638dc6f06 · outbound

This paper cites Cluster algebras of finite type via C oxeter elements and principal minors.

Gr\"obner Cones for Finite Type Cluster Algebras Cluster algebras of finite type via C oxeter elements and principal minors

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:56.656471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.