Paper Citation Record · LEDGER

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2509.04614.

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

pith.paper-citation-record.v1
2509.04614 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:36:23.698638Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

15 of 15 outbound references displayed

verified exact0
verified fuzzy9
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 428c492f-bd6f-4ce7-9efb-7334fd348106 · outbound

This paper cites an unresolved cited work.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:36:24.268100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b412a34f-17c3-4f9b-ad8e-852da1c4da22 · outbound

This paper cites Cluster algebras.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Cluster algebras

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:36:24.238175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0261d9e7-eecb-4bd5-a1c6-ae5d1264558a · outbound

This paper cites Deep points of cluster algebras.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Deep points of cluster algebras

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:36:24.223263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cca71cd9-abba-435f-b58c-b35b385d02c3 · outbound

This paper cites Billera, Paul Filliman, and Bernd Sturmfels.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Billera, Paul Filliman, and Bernd Sturmfels

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:36:24.199906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 73cdf37c-4f6e-40ae-8217-9728183156fd · outbound

This paper cites Cluster structures on braid varieties.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Cluster structures on braid varieties

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:36:24.183052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4d701ce3-6d89-4f88-8bc6-f3819bc48c2e · outbound

This paper cites Cluster deep loci and mirror symmetry.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Cluster deep loci and mirror symmetry

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T16:36:23.643833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2b3ce2b-3d67-4b36-8f61-03f7931207ca · outbound

This paper cites De Loera, Serkan Hosten, Francisco Santos, and Bernd Sturmfels.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds De Loera, Serkan Hosten, Francisco Santos, and Bernd Sturmfels

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:36:24.160724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 91683dcc-e0e8-414c-ab06-eb129e5cf2eb · outbound

This paper cites De Loera, J¨ org Rambau, and Francisco Santos.Triangulations.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds De Loera, J¨ org Rambau, and Francisco Santos.Triangulations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:36:24.130247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 49b52a87-1791-4565-a5fa-859890cff1bf · outbound

This paper cites Introduction to Cluster Algebras.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Introduction to Cluster Algebras

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:36:24.106941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 986d70c2-aab4-43a7-8a58-959407560703 · outbound

This paper cites The Laurent phenomenon.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds The Laurent phenomenon

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:36:24.078526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 052d928e-335d-4603-a624-e73327e46ba8 · outbound

This paper cites Braid variety cluster structures, II: general type.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Braid variety cluster structures, II: general type

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T16:36:23.678210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 484c4db5-bbdb-4e1a-a79d-30da218433f7 · outbound

This paper cites Braid variety cluster structures, I: 3D plabic graphs.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Braid variety cluster structures, I: 3D plabic graphs

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T16:36:23.684152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e341a73-19eb-4ed7-84a8-0f010b88ff64 · outbound

This paper cites an unresolved cited work.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:36:24.051711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 01b35531-1282-4cdd-8862-1fcfcf71deae · outbound

This paper cites an unresolved cited work.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:36:24.020069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64978326-5d76-48bd-81eb-0efd5f3a7c57 · outbound

This paper cites Locally acyclic cluster algebras.

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds Locally acyclic cluster algebras

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:36:23.993863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.