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Paper Citation Record · LEDGER

The Heawood approach to Tait colorings and defining vertex sets

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.005055Z digest=sha256:8fadec445fd40268d8c5f941dc5a2b2fedcb34874c101983f08df87ca4d1e69f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.010202Z digest=sha256:4648b8549e13e8ae72382ee6e9f223341bf41605843cdccc22dbc633387ac2f7

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.015041Z digest=sha256:090ce1c06622ed8400368a8bd77ad810f665410a2d57d9d3685b32d459e8fd16

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.019907Z digest=sha256:9569eceeb7b0fd615124234ee410cf310bb9c93e34ac99a70a3552181d308c16

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.024972Z digest=sha256:28c6d5eafa113259518548c948392b8d3819b1a3cf0d951175b8e572d303cd74

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.029927Z digest=sha256:96fb41a94e62a5872899b1c7562ac720cef4b7ed85a337b725c4e45afcac05da

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.034212Z digest=sha256:f685a5a62766de3bf90d0ad7acfef52cfe8fdc14e5107f0b569344e74056e27a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.039296Z digest=sha256:789ce01bd49c7c54544b4018a9646404573aa4349d5141d34e01c4a860354e97

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.043593Z digest=sha256:ae48f404a34fc16ccc5c659fe31322a0aa740bbdae2ada3062aa07d5f74081da

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.048009Z digest=sha256:5e997667897c8d0b704ea66ed31ff8749e20e10a46302c55b5f840fd83e52660

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.051886Z digest=sha256:d8c5d77106550eec9efdf54031912693d26299d06fb94730a7de45ad264df275

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T13:54:33.056173Z digest=sha256:4ff84da49192dbf235244571ae06ca79bf7977735bc2b3b2ec17c93761951103

Pith citing papers

No inbound Pith citation observations are available.