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Paper Citation Record · LEDGER

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

As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2608.04542.

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

pith.paper-citation-record.v1
2608.04542 v3

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:19:48.062264Z

measured 10 of 10 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 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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy1
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 227c55fa-4619-424f-9c3f-a351282140e5 · outbound

This paper cites an unresolved cited work.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T04:19:48.024034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:19:48.024034Z digest=sha256:ad785fc3cc95d79ee071f5be50b138a60fef9d98bec67341bf17a07294fefda4

Observation 9175c086-2f13-4e18-a3cb-1f8d9d4cda6b · outbound

This paper cites an unresolved cited work.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:19:48.187346Z

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=2026-08-11T04:19:48.028814Z digest=sha256:404ed500a5dde9bef7cc610de1e53af52761064daf9b1bf5c7cdb7c2ac9b71c6

Observation 0e649d0b-6322-41f3-9e96-653964ffcf85 · outbound

This paper cites an unresolved cited work.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:19:48.173924Z

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=2026-08-11T04:19:48.032988Z digest=sha256:6fe5b3c90322096acd855866a31945421ebc53aa1f3a5a1889bfe0fa6d15c500

Observation 3ff3e9d9-06ce-4ccc-bed2-8979af2f01e3 · outbound

This paper cites Trimming Graphs Using Clausal Proof Optimization.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Trimming Graphs Using Clausal Proof Optimization

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T04:19:48.036833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:19:48.036833Z digest=sha256:bb5bf4fca1e9c5e0fccba9b0c7badf8319f9bc029091d636f2dea7ff2603f875

Observation 9c27884b-97c1-4716-b04e-7cb9e858c777 · outbound

This paper cites an unresolved cited work.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T04:19:48.042532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:19:48.042532Z digest=sha256:aa57225c89d56bf18c0b4a0cc6a82fb52fe5a4d47ede5b4db9777f24b5b23f10

Observation 83f095b2-beaf-404d-a08c-8b7f93fc7373 · outbound

This paper cites an unresolved cited work.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:19:48.150945Z

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=2026-08-11T04:19:48.046265Z digest=sha256:46745047769c36ab72538494f2d2f2c1a7448065273aef0ebd1c703039b5ce9d

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

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

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.

source=pdf_text observed=2026-08-11T04:19:48.050133Z digest=sha256:2863dbaf746ece77eab4686d021dd93cb1e2e847d231d3cc3a661069413e10a2

Observation 9efc9c21-9e56-418e-bafc-91d20b3ce3b7 · outbound

This paper cites an unresolved cited work.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T04:19:48.054448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:19:48.054448Z digest=sha256:7e47a88df0439e0183a043b87d86ca1c47c18f2691d4ba95896da0ad02ccd587

Observation 34e2552e-30b4-460a-9190-bf46f48bb5c8 · outbound

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

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:f29b539a81a9e4dd86fc2549806f8e60d80e479f06a8721460d25b14c628f24f

Observation 33ca7576-c183-46cb-b21c-df5efcdbedb8 · outbound

This paper cites It was found using the Python library SetCoverPy.

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane It was found using the Python library SetCoverPy

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:19:48.128911Z

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=2026-08-11T04:19:48.062264Z digest=sha256:1ef9c8b698be0963c35adb58b8276d206dd78d162f2f5d63db832b495c33c187

Pith citing papers

No inbound Pith citation observations are available.