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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.005055Z digest=sha256:6ae1716eee90d2cdd4e4861e2599804612bb521125734fe3e35a90a4b2bba190

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.010202Z digest=sha256:6b3c0bb5f0c23e3cbe674beb97a8f4b2b901a86051ce3c0929bdca1147ac96ea

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.015041Z digest=sha256:509e0c73daee4c5e40665570bd3d04bc5a23f6d94090cd723ef3d9f5e3a28aa9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.019907Z digest=sha256:edd7a1a7e49236b19df25badb972169f06fcc83a5ede22987dc9b6f76b3c318f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.024972Z digest=sha256:ee1cc27232fc652dca2bfaef8d0d2fa84632020397992701ad8099d66194edf8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.029927Z digest=sha256:b895b2e4701fbc0bd2ea382c47d370d9b02ce51aeb79df9c1253c3693d9de442

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.034212Z digest=sha256:e4f53f9e27a4b07d9025b25b308b67b91010ba638cf8ef9aea6964628a3cbabb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.039296Z digest=sha256:b2f5859c84fa3a4d65a3b675e1675d20263d924cc243a478de9736b2bafdc166

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.043593Z digest=sha256:8e39c13947b394145a37589937db3ea008a5ea467d8c3ec8967c52a438757800

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.048009Z digest=sha256:310b8e9e2073e11c7cb5c9e64ed59eda542cdeb0816eebc0de266b6721fa8910

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.051886Z digest=sha256:5ff24e7624a4a7ee3e62b118e71988c55c90dc8111efa99b2a4d29ea616b04d9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:54:33.056173Z digest=sha256:6505438e10ac309d542c324445ab8c213494441515782b556b02fc4259c88788

Pith citing papers

No inbound Pith citation observations are available.