Paper Citation Record · LEDGER

On decomposition thresholds for odd-length cycles and other tripartite graphs

As of 13 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2411.17232.

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

pith.paper-citation-record.v1
2411.17232 v3

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:33:03.601054Z

measured 13 of 13 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T13:39:30.857408Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-04T07:09:38.421204Z

Reference resolution

12 of 12 outbound references displayed

verified exact0
verified fuzzy12
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 555fb3b5-5226-432d-a4e2-5a333e67798d · outbound

This paper cites Barber, D.

On decomposition thresholds for odd-length cycles and other tripartite graphs Barber, D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.740039Z

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 b483392b-c792-42e5-893d-ded482a5879b · outbound

This paper cites Barber, D.

On decomposition thresholds for odd-length cycles and other tripartite graphs Barber, D

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.730187Z

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 9613a05b-2ae5-4d40-967f-8f4e53e5954f · outbound

This paper cites Birkhoﬀ, Tres observaciones sobre el algebra lineal, Univ.

On decomposition thresholds for odd-length cycles and other tripartite graphs Birkhoﬀ, Tres observaciones sobre el algebra lineal, Univ

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.720089Z

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 3e4eee71-6829-4d83-a0c8-f47b16d60dff · outbound

This paper cites Delcourt and L.

On decomposition thresholds for odd-length cycles and other tripartite graphs Delcourt and L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.709794Z

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 dd5c4acf-4369-40a8-90d9-6cbf83db6d5d · outbound

This paper cites Gir˜ ao, B.

On decomposition thresholds for odd-length cycles and other tripartite graphs Gir˜ ao, B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.699695Z

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 4cfc42de-e9e5-42b6-baba-f5d899efa8a1 · outbound

This paper cites Glock, D.

On decomposition thresholds for odd-length cycles and other tripartite graphs Glock, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.689685Z

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 73aa528d-807c-4bef-9a2a-512d66b23971 · outbound

This paper cites Hardy, J.E.

On decomposition thresholds for odd-length cycles and other tripartite graphs Hardy, J.E

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.679346Z

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 d9558591-0fce-4d47-8203-eaac69928e3e · outbound

This paper cites Haxell and V.

On decomposition thresholds for odd-length cycles and other tripartite graphs Haxell and V

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.669014Z

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 f3b9a520-0295-49ff-a377-b0de7f4fe9da · outbound

This paper cites Joos and M.

On decomposition thresholds for odd-length cycles and other tripartite graphs Joos and M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.660003Z

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 781a3200-41e1-4d57-8e4c-c22e57119f6d · outbound

This paper cites R¨ uschendorf, Ordering of distributions and rearrangement of functions, Annals of Prob- ability 9 (1981), 276–283.

On decomposition thresholds for odd-length cycles and other tripartite graphs R¨ uschendorf, Ordering of distributions and rearrangement of functions, Annals of Prob- ability 9 (1981), 276–283

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.650873Z

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 872a95c9-d74c-4930-988c-c1aeb84af4ca · outbound

This paper cites Taylor, On the exact decomposition threshold for even cycle s, J.

On decomposition thresholds for odd-length cycles and other tripartite graphs Taylor, On the exact decomposition threshold for even cycle s, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.641240Z

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 2223424b-26e7-492a-b410-243bc7e5e61d · outbound

This paper cites Yuster, Integer and fractional packing of families of graph s, Random Structures Algo- rithms 26 (2005) 110–118.

On decomposition thresholds for odd-length cycles and other tripartite graphs Yuster, Integer and fractional packing of families of graph s, Random Structures Algo- rithms 26 (2005) 110–118

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:33:03.631132Z

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

Observation a88def17-19bc-4c68-af90-a86ebc69b407 · inbound

Determining decomposition thresholds for long odd cycles cites this paper.

Determining decomposition thresholds for long odd cycles On decomposition thresholds for odd-length cycles and other tripartite graphs

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-07-04T07:09:38.422332Z

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.