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Paper Citation Record · LEDGER

Constructing 5-chromatic unit distance graphs embedded in the Euclidean plane and two-dimensional spheres

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2106.11824.

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

pith.paper-citation-record.v1
2106.11824 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:19:48.058077Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T22:35:01.313499Z

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 a80aa687-97fa-45dc-8e71-e2707fd82536 · 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 Constructing 5-chromatic unit distance graphs embedded in the Euclidean plane and two-dimensional spheres

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:35:01.346990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:35:01.164445Z digest=sha256:3f35dbde7a67749300bb9cec13512035d725e8bc65e38d0ba87924a81fe6b5f8

Observation 1ab31de9-2e64-4bc6-999e-804996a95a7d · 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 Constructing 5-chromatic unit distance graphs embedded in the Euclidean plane and two-dimensional spheres

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-08T18:22:27.820019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T18:22:27.820019Z digest=sha256:40368be798e496d18bea5bba987bbfcf015da46bcad47edd4eea32f68578a5d2

Observation 34e2552e-30b4-460a-9190-bf46f48bb5c8 · 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 Constructing 5-chromatic unit distance graphs embedded in the Euclidean plane and two-dimensional spheres

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T04:19:48.058077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:19:48.058077Z digest=sha256:373262cafe0223cfd288f820ca1f51a659542a85c6dd8e8b6d8e555ec0903e05