Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:59:43.244410Z
Paper Citation Record · LEDGER
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable
As of 22 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2509.01137.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-29T11:48:23.943938Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-29T11:53:23.800075Z
Reference resolution
12 of 12 outbound references displayed
- verified exact0
- verified fuzzy8
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 77dca647-55bb-44bb-9a6b-1e67ad9331e8 · outbound
This paper cites Addario-Berry, M.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Addario-Berry, M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:59:46.860997Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c6cceb06-7e49-4895-a399-5a96aaecf1b5 · outbound
This paper cites Chen, Graphs with girth 2 ℓ + 1 and without longer odd holes are 3-colorable, J.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Chen, Graphs with girth 2 ℓ + 1 and without longer odd holes are 3-colorable, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:59:46.565083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6d2b3ee7-88f1-4973-82e1-1b251f3501ad · outbound
This paper cites Chudnovsky, P.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Chudnovsky, P
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:59:46.205515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7a1c2522-ab1c-4a08-b79c-13898f373e66 · outbound
This paper cites Chudnovsky, P.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Chudnovsky, P
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:59:45.888223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 15092aab-bc97-49dd-a4ef-2ecdf16d4744 · outbound
This paper cites Nelson, M.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Nelson, M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:59:45.664641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f4032583-79cf-427d-98ad-cf036dc41685 · outbound
This paper cites Plummer, X.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Plummer, X
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:59:45.333981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7d2884da-fe4a-40e5-b634-05bb67f5e52d · outbound
This paper cites Scott and P.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Scott and P
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:59:45.003666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5b27a6f9-6626-46c7-ba9b-7318f7dc0634 · outbound
This paper cites Scott and P.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Scott and P
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:59:44.680272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 18db3272-6bc4-4e23-8723-209057e85372 · outbound
This paper cites an unresolved cited work.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:59:44.425508Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6f8cd808-46e5-494f-a0fb-737183cb561a · outbound
This paper cites an unresolved cited work.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:59:44.110336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d20df9e9-214f-4dbe-8072-0a59bf2d9355 · outbound
This paper cites an unresolved cited work.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:59:43.802047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6e334563-4c05-482f-a9ef-14c986fb5bb5 · outbound
This paper cites an unresolved cited work.
Graphs with girth $2\ell$ and without longer even holes are $3$-colorable Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:59:43.564559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
Observation 1edc4a70-064a-4cc9-a619-0e027ef844dc · inbound
Graphs with girth 8 and without longer even holes are 3-colorable cites this paper.
Graphs with girth 8 and without longer even holes are 3-colorable Graphs with girth $2\ell$ and without longer even holes are $3$-colorable
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T11:53:23.801586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.