Paper Citation Record · LEDGER

Separating dots with circles

As of 9 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2505.22851.

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

pith.paper-citation-record.v1
2505.22851 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:04:49.341162Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

11 of 11 outbound references displayed

verified exact0
verified fuzzy7
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1d94d019-295e-479e-bdcc-938b9a735cbb · outbound

This paper cites The number of halving circles.

Separating dots with circles The number of halving circles

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:04:51.097831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 530ebc37-9ed7-43c5-bb35-4b4c4b2d3ef1 · outbound

This paper cites Cluster algebras.

Separating dots with circles Cluster algebras

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:04:50.949041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cc1ee792-9da1-48f2-9ffd-52ffda8dd5ac · outbound

This paper cites an unresolved cited work.

Separating dots with circles Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:04:50.801970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8a60491f-23f5-4f6f-8482-9301a86a1b13 · outbound

This paper cites Properties for Voronoi diagrams of arbitrary order on the sphere.

Separating dots with circles Properties for Voronoi diagrams of arbitrary order on the sphere

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:04:50.633183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0bebfb64-101b-4529-9410-25a1816ff4b4 · outbound

This paper cites New graphs of finite mutation type.

Separating dots with circles New graphs of finite mutation type

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:04:50.437997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dce3a797-72e0-4d1e-b88f-84a95c3d44c7 · outbound

This paper cites an unresolved cited work.

Separating dots with circles Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:04:50.256164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b125738e-6915-4820-bf15-78e5473f1e30 · outbound

This paper cites Algorithms in combinatorial geometry , volume 10 of EATCS Monographs on Theoretical Computer Science.

Separating dots with circles Algorithms in combinatorial geometry , volume 10 of EATCS Monographs on Theoretical Computer Science

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:04:49.984637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9fda2780-0717-44f1-8bdf-17ea4c409f87 · outbound

This paper cites Introduction to Cluster Algebras. Chapter 7.

Separating dots with circles Introduction to Cluster Algebras. Chapter 7

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T13:04:49.070146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 648c0d2e-a625-4804-9217-d7c467d2f86c · outbound

This paper cites A V oronoi poset.

Separating dots with circles A V oronoi poset

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:04:49.758579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation be763a4c-689d-4bf7-bd17-4fc447bc68e1 · outbound

This paper cites Voronoi diagrams on the sphere.

Separating dots with circles Voronoi diagrams on the sphere

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:04:49.586007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 177e05bc-c0d3-4a09-afb6-7c81ac0f29e8 · outbound

This paper cites Total positivity, Grassmannians, and networks.

Separating dots with circles Total positivity, Grassmannians, and networks

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T13:04:49.341162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.