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Paper Citation Record · LEDGER

The Heawood approach to Tait colorings and defining vertex sets

As of 13 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2411.15992.

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

pith.paper-citation-record.v1
2411.15992 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:54:33.056173Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy2
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b606477-777f-4362-aacb-a7ab61eb0652 · outbound

This paper cites an unresolved cited work.

The Heawood approach to Tait colorings and defining vertex sets Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:54:33.254106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.005055Z digest=sha256:277f1cd00422230d7c83e84426351bfcd85ac2053f32730ef6182770d312a062

Observation 8cd546c5-4b75-48c2-b93a-216385654f0a · outbound

This paper cites Ore, The Four-Color Problem.

The Heawood approach to Tait colorings and defining vertex sets Ore, The Four-Color Problem

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:54:33.240765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.010202Z digest=sha256:26dabd80d6e6b8d2a7badd0fe3d1200fc7f969f4a9148f41adbe0b576d963c3d

Observation de69c925-ae2d-4d1b-923e-ce7e078ebcda · outbound

This paper cites an unresolved cited work.

The Heawood approach to Tait colorings and defining vertex sets Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:54:33.225778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.015041Z digest=sha256:35a68dfb66ede121740d7eb51aa817db01ebad4f66731d00b15ec248e33321e2

Observation d922fd4d-1a89-45a7-b98f-3ccee85ee553 · outbound

This paper cites an unresolved cited work.

The Heawood approach to Tait colorings and defining vertex sets Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:54:33.211791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.019907Z digest=sha256:bbc0f54aa6d77dd4cc2f7daf66d9ed019650a46b694e217cf1c8875cee1c58e8

Observation e1acd1fa-231d-4d75-9217-c3d31737928a · outbound

This paper cites A Criterion for Vertex Colorability of a Graph Stated in Terms of Edge Orientations.

The Heawood approach to Tait colorings and defining vertex sets A Criterion for Vertex Colorability of a Graph Stated in Terms of Edge Orientations

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-12T13:54:33.096569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.024972Z digest=sha256:684acc4e40bfa4aeb4be6b80fa4d1833166124332071726e9947909af77878b9

Observation 343671cb-3c2c-4d2d-9479-f45cf29a3a93 · outbound

This paper cites an unresolved cited work.

The Heawood approach to Tait colorings and defining vertex sets Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:54:33.197754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.029927Z digest=sha256:91eb5ddca8bf4bd91e7da6aa28a33850cee6dfc671a45faefb4b34a40419f439

Observation dd740f3d-bc68-4b7e-8c6b-0d2fc34b30fa · outbound

This paper cites an unresolved cited work.

The Heawood approach to Tait colorings and defining vertex sets Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:54:33.183376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.034212Z digest=sha256:d963116fc4ebb4edfd1760437f53aae11913709f380c71e8af219627dae5793d

Observation 1dfcc09e-c34e-4f3b-9105-06035376ec44 · outbound

This paper cites an unresolved cited work.

The Heawood approach to Tait colorings and defining vertex sets Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:54:33.168910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.039296Z digest=sha256:e41eae50c67acff0e2ef07663f13348706eadf9c8624637eccfadacba139a106

Observation 2edca1e3-2313-45b9-aca5-6515b6835114 · outbound

This paper cites Diestel, Graph Theory.

The Heawood approach to Tait colorings and defining vertex sets Diestel, Graph Theory

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:54:33.154023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.043593Z digest=sha256:7f1bee84100c17af1243e4c3f1ffa53c8ee92cc50dc396ba9e04354b0042d46d

Observation e9ca7fd9-ddb9-4b6f-a1a2-363d9fba4013 · outbound

This paper cites an unresolved cited work.

The Heawood approach to Tait colorings and defining vertex sets Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:54:33.139962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.048009Z digest=sha256:059f09118b9746fcba97435f94e4f7a748fee1c547caa785b5c0b0359dc54544

Observation 3465dfba-ded6-4780-956b-1fdc923dabbd · outbound

This paper cites an unresolved cited work.

The Heawood approach to Tait colorings and defining vertex sets Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:54:33.125730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.051886Z digest=sha256:5c9af1f7e6adbd46c20003df5152d698af9721afd409fb92329298275e7214a9

Observation 4c394295-6988-48c1-806c-f7146b66c92e · outbound

This paper cites an unresolved cited work.

The Heawood approach to Tait colorings and defining vertex sets Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:54:33.111390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T13:54:33.056173Z digest=sha256:a6071a962f7832a2a1b1756178c27321b1f1874eaccabd81f7812aa2a974ac8d

Pith citing papers

No inbound Pith citation observations are available.