Pith. sign in

Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.560776Z digest=sha256:23870c1ce604980b064975086e5550b320fcee9b35a6e495e03ae8fb8faea885

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.565181Z digest=sha256:d95b09cde5227cd093231c4dcfb6d012c72f6d480c4ede049ce8277246acf251

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.568877Z digest=sha256:3ea5f5a2c5fea6d4e2236cf5e2703b7bf8def0284d42ce9e6380060b29f69373

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.572528Z digest=sha256:2d47435b819f0ab89716f813b03576c67325839c0cb67f4aa7cfbc32aa701cb4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.575815Z digest=sha256:5aada273a6c34deca36446908859ea08ffc44e19af76064972d7c3ec127fe6d0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.580121Z digest=sha256:17ce3661f7d350ef9c95fcdbeba1592bd587b33ed3ac06d58595ed84e9685135

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.584079Z digest=sha256:c926405d47753afae0a05752224aaaa744b5ccd6eeceda2b0d5691de7821c8de

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.587535Z digest=sha256:cd044158989afdc1db6e00cf3847e15347e61db6378b3e7ea1f5e19387182e8d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.590978Z digest=sha256:eab00de312074278a91a265201da0a4d81b0897a1d236850e711ec6b2489e058

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.594347Z digest=sha256:14454553d06d744d965b17470a4c549365a9c9673172469e5ef8fde63c1958c5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.597786Z digest=sha256:da73fe3074724be0f10bc71b14d66f8846bbd2009be4ef0a17047b68f7056437

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:33:03.601054Z digest=sha256:06e1f2a9bfe0af655ad1ef2f42c80d0678bd5f40ea8d079cc8a50216345f1579

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T13:39:30.857408Z digest=sha256:19c08710a93856bbc426792f0e063e0dd343e01906dc8df968dcb4a785271735