Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:31:31.919208Z
Paper Citation Record · LEDGER
Planar graphs with girth at least 5 are (3,4)-colorable
As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.03172.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
16 of 16 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation fd1cd6df-8297-44ea-805d-5bc8116d206f · outbound
This paper cites Appel and W.
Planar graphs with girth at least 5 are (3,4)-colorable Appel and W
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.606760Z
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.
Observation 5130545a-e063-441e-8550-95203fd8d1e5 · outbound
This paper cites Appel, W.
Planar graphs with girth at least 5 are (3,4)-colorable Appel, W
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.575792Z
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.
Observation 311edf88-3452-4cca-abe3-3e59db4fe0e9 · outbound
This paper cites an unresolved cited work.
Planar graphs with girth at least 5 are (3,4)-colorable Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:32.542850Z
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.
Observation 9901d8d8-9fb8-4f65-bf90-d6be3f5f1f19 · outbound
This paper cites an unresolved cited work.
Planar graphs with girth at least 5 are (3,4)-colorable Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:32.518084Z
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.
Observation 16bc525c-a7d9-445e-9ff5-fe99c6028f59 · outbound
This paper cites an unresolved cited work.
Planar graphs with girth at least 5 are (3,4)-colorable Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:32.475927Z
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.
Observation 9020c311-c0da-4a7b-b214-80c322e7dbbf · outbound
This paper cites an unresolved cited work.
Planar graphs with girth at least 5 are (3,4)-colorable Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:32.439859Z
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.
Observation 8536648e-0863-413e-b2bf-fa66f68bfa92 · outbound
This paper cites (1 , k)-coloring of graphs with girth at least five on a surface.
Planar graphs with girth at least 5 are (3,4)-colorable (1 , k)-coloring of graphs with girth at least five on a surface
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.387825Z
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.
Observation d7492a4d-9609-458f-a85d-ec4d25b5fefd · outbound
This paper cites Choi and L.
Planar graphs with girth at least 5 are (3,4)-colorable Choi and L
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.354383Z
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.
Observation 22777b54-8816-4551-9db5-07d927f99ff7 · outbound
This paper cites Planar graphs with girth at least 5 are (3 , 5)-colorable.
Planar graphs with girth at least 5 are (3,4)-colorable Planar graphs with girth at least 5 are (3 , 5)-colorable
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.322390Z
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.
Observation 031fcbe0-2b8f-455f-9272-c0ab64935355 · outbound
This paper cites an unresolved cited work.
Planar graphs with girth at least 5 are (3,4)-colorable Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:31:32.287685Z
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.
Observation bf25c66e-2a24-4af6-8eb3-01ae8c8596a0 · outbound
This paper cites Defective list colorings of planar graphs.
Planar graphs with girth at least 5 are (3,4)-colorable Defective list colorings of planar graphs
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.256472Z
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.
Observation 718375b2-8f79-4f64-8753-09d1f88e2132 · outbound
This paper cites Zur Theorie der diskreten Gebilde.
Planar graphs with girth at least 5 are (3,4)-colorable Zur Theorie der diskreten Gebilde
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.184727Z
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.
Observation 247fe5ae-889b-4832-9889-fdaf2be472a3 · outbound
This paper cites Improper choosability of graphs and maximum average degree.
Planar graphs with girth at least 5 are (3,4)-colorable Improper choosability of graphs and maximum average degree
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.150659Z
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.
Observation f84f3849-0cd2-4745-be02-31ab4a897d65 · outbound
This paper cites Montassier and P.
Planar graphs with girth at least 5 are (3,4)-colorable Montassier and P
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.096022Z
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.
Observation d9dcf308-8ea3-4dc9-b29d-a7edfa2196e3 · outbound
This paper cites ˇSkrekovski.
Planar graphs with girth at least 5 are (3,4)-colorable ˇSkrekovski
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.065836Z
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.
Observation a66c25d8-501b-4504-b4f5-b5403fd00bb9 · outbound
This paper cites List improper colorings of planar graphs with prescribed girth.
Planar graphs with girth at least 5 are (3,4)-colorable List improper colorings of planar graphs with prescribed girth
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:31:32.022771Z
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.
Pith citing papers
No inbound Pith citation observations are available.