Paper Citation Record · LEDGER

The Dominating 4-Colour Theorem

As of 14 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2605.10112.

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

pith.paper-citation-record.v1
2605.10112 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-12T03:13:49.284362Z

measured 24 of 24 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

24 of 24 outbound references displayed

verified exact0
verified fuzzy21
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4e78a962-837a-4953-a239-23cf078b33ba · outbound

This paper cites Every planar map is four colorable, vol.

The Dominating 4-Colour Theorem Every planar map is four colorable, vol

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.954207Z

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.

Observation 50461935-f1a6-4ce4-ba26-6b4ebdda33af · outbound

This paper cites Catlin, and Paul Erdős.

The Dominating 4-Colour Theorem Catlin, and Paul Erdős

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.973500Z

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.

Observation b29af904-d569-40f2-b3d0-55fafe45e227 · outbound

This paper cites an unresolved cited work.

The Dominating 4-Colour Theorem Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-12T20:31:50.949935Z

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.

Observation 7f737f90-333c-4d23-a81c-337eba6568d4 · outbound

This paper cites Graph theory, vol.

The Dominating 4-Colour Theorem Graph theory, vol

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.961456Z

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.

Observation 27add049-2871-4967-8e8b-8e72d3bef71c · outbound

This paper cites an unresolved cited work.

The Dominating 4-Colour Theorem Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-12T20:31:50.926615Z

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.

Observation ed43f9a5-a675-44e2-a88a-5e05c251d05b · outbound

This paper cites On the conjecture of Hajós.

The Dominating 4-Colour Theorem On the conjecture of Hajós

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.965512Z

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.

Observation 9f892778-92e8-4496-bc72-8e97ecc1e7d5 · outbound

This paper cites Graph theory and probability.Canad.

The Dominating 4-Colour Theorem Graph theory and probability.Canad

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.957827Z

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.

Observation a97856de-fb6f-446c-841f-e0bac8f251e6 · outbound

This paper cites Über eine Klassifikation der Streckenkomplexe.Vierteljschr.

The Dominating 4-Colour Theorem Über eine Klassifikation der Streckenkomplexe.Vierteljschr

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.943204Z

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.

Observation ce30014c-e0c0-4bc1-8d55-1d1d43287897 · outbound

This paper cites The Kelmans-Seymour conjecture I: Special separations.

The Dominating 4-Colour Theorem The Kelmans-Seymour conjecture I: Special separations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.931146Z

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.

Observation 9d17ac67-159c-4a9e-8781-44b0b4635fa3 · outbound

This paper cites The Kelmans-Seymour conjecture II: 2-vertices in K − 4.

The Dominating 4-Colour Theorem The Kelmans-Seymour conjecture II: 2-vertices in K − 4

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.939801Z

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.

Observation d80847d4-f99a-4a00-8ecf-9b7046ea7663 · outbound

This paper cites The Kelmans-Seymour conjecture III: 3-vertices in K − 4.

The Dominating 4-Colour Theorem The Kelmans-Seymour conjecture III: 3-vertices in K − 4

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.935332Z

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.

Observation 9c17438c-cba8-476e-a523-735c0bf0f3f5 · outbound

This paper cites The Kelmans-Seymour conjecture IV: A proof.

The Dominating 4-Colour Theorem The Kelmans-Seymour conjecture IV: A proof

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.970074Z

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.

Observation afdb7759-3dfd-4ffa-b627-00a2788da19c · outbound

This paper cites an unresolved cited work.

The Dominating 4-Colour Theorem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-12T20:31:50.946518Z

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.

Observation 2cb44975-90bc-477f-a763-edb43bf85715 · outbound

This paper cites K6 minors in large6-connected graphs of bounded treewidth.J.

The Dominating 4-Colour Theorem K6 minors in large6-connected graphs of bounded treewidth.J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.977739Z

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.

Observation 6f297c3e-058b-4158-a820-497227cc1573 · outbound

This paper cites Sur le problème des courbes gauches en topologie.Fund.

The Dominating 4-Colour Theorem Sur le problème des courbes gauches en topologie.Fund

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.918813Z

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.

Observation 7d664c15-0560-4620-86e0-f64374149f8d · outbound

This paper cites Strengthening Hadwiger’s conjecture for 4- and 5-chromatic graphs.J.

The Dominating 4-Colour Theorem Strengthening Hadwiger’s conjecture for 4- and 5-chromatic graphs.J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.914244Z

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.

Observation 0d8646b3-c696-4469-ad4e-c57469f48bbc · outbound

This paper cites Sanders, Paul Seymour, and Robin Thomas.

The Dominating 4-Colour Theorem Sanders, Paul Seymour, and Robin Thomas

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.909363Z

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.

Observation ac247b62-a104-460d-95d3-ef8dda85fddb · outbound

This paper cites Hadwiger’s conjecture forK6-free graphs.

The Dominating 4-Colour Theorem Hadwiger’s conjecture forK6-free graphs

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.885948Z

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.

Observation 53917a51-bd15-4b63-b8c6-ea6dd127ffed · outbound

This paper cites On a coloring conjecture of Hajós.

The Dominating 4-Colour Theorem On a coloring conjecture of Hajós

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.922762Z

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.

Observation 886ff9fb-b2bf-46b7-8cd1-8c9d390e72b4 · outbound

This paper cites Some remarks on Hajós’ conjecture.J.

The Dominating 4-Colour Theorem Some remarks on Hajós’ conjecture.J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.900251Z

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.

Observation ca05ad11-bf8e-4fd2-88f2-4154581d88fc · outbound

This paper cites Über eine Eigenschaft der ebene Komplexe.Math.

The Dominating 4-Colour Theorem Über eine Eigenschaft der ebene Komplexe.Math

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.892607Z

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.

Observation b3dcf55e-390d-4b32-8f71-5889afd73038 · outbound

This paper cites Wheels in planar graphs and Hajós graphs.

The Dominating 4-Colour Theorem Wheels in planar graphs and Hajós graphs

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.895958Z

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.

Observation be52a037-295f-473d-80d2-90841d9c99f5 · outbound

This paper cites 4-separations in Hajós graphs.

The Dominating 4-Colour Theorem 4-separations in Hajós graphs

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.889501Z

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.

Observation 6f97cfdc-cd28-4b33-bed0-1e90cc21c8e3 · outbound

This paper cites Reducing Hajós’ 4-coloring conjecture to 4-connected graphs.

The Dominating 4-Colour Theorem Reducing Hajós’ 4-coloring conjecture to 4-connected graphs

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T20:31:50.904709Z

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.

Pith citing papers

No inbound Pith citation observations are available.