Paper Citation Record · LEDGER

Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2010.12665.

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

pith.paper-citation-record.v1
2010.12665 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:19:48.050133Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T22:35:01.411672Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 7e1185e5-f1f3-4bed-8a9b-0cd30df713c0 · inbound

Neural Discovery in Mathematics: Do Machines Dream of Colored Planes? cites this paper.

Neural Discovery in Mathematics: Do Machines Dream of Colored Planes? Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-09T23:13:21.846077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20ff51fc-cb2c-4794-9353-c689c6130a68 · inbound

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane cites this paper.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:35:01.449242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation af9b345b-0b53-487e-a3cf-0fe048477aff · inbound

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane cites this paper.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T18:22:27.806685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c67ff7e-3827-422f-bc89-bd8a8d160653 · inbound

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane cites this paper.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T04:19:48.050133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.