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Paper Citation Record · LEDGER

Maximizing directed cycles in tournaments

As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.06238.

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

pith.paper-citation-record.v1
2608.06238 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:05:20.653628Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e46112de-6dfd-48fe-a535-0ea35131023d · outbound

This paper cites Bartley,Topics in extremal and probabilistic combinatorics, Ph.D.

Maximizing directed cycles in tournaments Bartley,Topics in extremal and probabilistic combinatorics, Ph.D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:22.872767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.413507Z digest=sha256:95275f115d7b403058c667465b7bfe5c456483742e69eedb54ef4b853eda9b4f

Observation 6eb3ca21-a6e9-4015-9a8a-00dc8b20280a · outbound

This paper cites Beineke and Frank Harary, The maximum number of strongly connected subtournaments, Canadian Mathematical Bulletin8(1965), no.

Maximizing directed cycles in tournaments Beineke and Frank Harary, The maximum number of strongly connected subtournaments, Canadian Mathematical Bulletin8(1965), no

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:22.860895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.480965Z digest=sha256:aa6eb44205bd17fbd84b2759196d968a9f53c4eb2c50b6d81934cc51f0722388

Observation ac0227ab-dca3-4a43-b40a-44d808fbe458 · outbound

This paper cites Inducibility of 4-vertex tournaments.

Maximizing directed cycles in tournaments Inducibility of 4-vertex tournaments

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:19.553703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:05:19.553703Z digest=sha256:33bb8eadd89ab2976453754fd58dc5325b7cc223edeb05e6205e52cc5f5cfe94

Observation 7e69d817-3668-47fc-a480-1a3f96631e12 · outbound

This paper cites On Tournament Anti-Sidorenko Orientations of Trees.

Maximizing directed cycles in tournaments On Tournament Anti-Sidorenko Orientations of Trees

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:05:20.908631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.600341Z digest=sha256:a9dd06a847602897783cb42f0193750b2211df24f3c574a573e02e8285b0a429

Observation fbb2f137-4d00-4397-8f75-6dfca6c181c9 · outbound

This paper cites Colombo, Sui circuiti nei grafi completi,Boll.

Maximizing directed cycles in tournaments Colombo, Sui circuiti nei grafi completi,Boll

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:22.848868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.657238Z digest=sha256:50f3b88ae7ae740aab07b689218dda1628ce3fc2f1a434c465838f97813d6a80

Observation c8a58044-aae7-4e83-a0ed-6a3697f7d581 · outbound

This paper cites Coregliano, Roberto F.

Maximizing directed cycles in tournaments Coregliano, Roberto F

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:22.836646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.737275Z digest=sha256:99f95ee8ae315a9f16bc6b168a203b5fa70fdc4e820dfcd579721ffe9c1daa50

Observation d1869593-6def-42e3-8e5d-e0e62bb2ec90 · outbound

This paper cites Coregliano and Alexander A.

Maximizing directed cycles in tournaments Coregliano and Alexander A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:22.824139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.772929Z digest=sha256:bfc6468275ad21d8f42cb0a4a433921b2e30587a669608f89340c7413bd3e360

Observation e6ab2fd9-001f-42f3-9f13-727bad8c93d3 · outbound

This paper cites Day,A collection of problems in extremal combinatorics, Ph.D.

Maximizing directed cycles in tournaments Day,A collection of problems in extremal combinatorics, Ph.D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:22.810858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.821643Z digest=sha256:78802332773c9acf54dc71835188a1982b0e9ccacb7a8f7ee8f6db623295dc4f

Observation 6ed6d25b-93c2-4120-899c-ef084d896a5a · outbound

This paper cites of Graph Theory.

Maximizing directed cycles in tournaments of Graph Theory

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:22.797417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.907209Z digest=sha256:946fdc4a2bd6b219509b2fb54908781c22ed4657918cfdb3c30b2f6894e7055b

Observation 47fb6b39-a2aa-410d-baaf-495546fd33eb · outbound

This paper cites an unresolved cited work.

Maximizing directed cycles in tournaments Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:05:22.785093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.944628Z digest=sha256:e07d1b118c521c97f809d53024656e9664118b586909c9612af22b882422eca7

Observation 50bf7ea1-0e83-4250-8af6-2d9f8e2ad01e · outbound

This paper cites Lov´ asz, and Jan Volec, Cycles of a given length in tournaments, J.

Maximizing directed cycles in tournaments Lov´ asz, and Jan Volec, Cycles of a given length in tournaments, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:22.772287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:19.979718Z digest=sha256:83fcc9d700e1a4501fa02a1efe334c54c255220bc1083938d69ed03ff86d05b5

Observation 8c41e8e2-3484-4a2f-ba2e-ceeda40a9a50 · outbound

This paper cites an unresolved cited work.

Maximizing directed cycles in tournaments Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:20.027152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:05:20.027152Z digest=sha256:578195d25e5a7db5efbd60ac6513e5f40c85350755e898f24b9d0d4c9bc49e32

Observation d1b9d6bc-4cfe-411c-9ff8-66715dfb19df · outbound

This paper cites an unresolved cited work.

Maximizing directed cycles in tournaments Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:05:22.759204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.109045Z digest=sha256:544d83f22872d436d2c123e3ee85b37ec87d8900ed423256fe285e74f7d6e71a

Observation 581dde5a-d279-4103-8037-d8d5301d9b51 · outbound

This paper cites an unresolved cited work.

Maximizing directed cycles in tournaments Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:05:22.669831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.155141Z digest=sha256:23eee860710ecfdfb49743509d24f624224e0f1767fed2a702bba9bbe7ae6251

Observation c9d3a00a-1fa5-4e35-b7c5-31fa239553a5 · outbound

This paper cites Marshall and Ingram Olkin,Inequalities: Theory of majorization and its applications, Academic Press, New York, 1979.

Maximizing directed cycles in tournaments Marshall and Ingram Olkin,Inequalities: Theory of majorization and its applications, Academic Press, New York, 1979

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:22.383578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.210412Z digest=sha256:dfaf4b72fd6505fb13a11c349804bde3c62951548d1938d8ef7c2b58d7aa0c2e

Observation 9e2651a8-2881-4190-9941-fb8bbd47ec24 · outbound

This paper cites an unresolved cited work.

Maximizing directed cycles in tournaments Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:05:22.113786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.294445Z digest=sha256:697f84314553870198a251a64d17aadb6bc016ede44d7c4bd7edd61df3555131

Observation 7434cfab-54af-43f2-bb8a-f1e6f6d1c73e · outbound

This paper cites 2, Paper No.

Maximizing directed cycles in tournaments 2, Paper No

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:21.945965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.357028Z digest=sha256:af140d15dfa74807326cc09bdb8cebacb253e6a1488455c5cc891ce4b9775798

Observation 09b7062f-4014-4a0f-aece-87e0c87336b3 · outbound

This paper cites an unresolved cited work.

Maximizing directed cycles in tournaments Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:05:21.803090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.413207Z digest=sha256:68612c3f960fdd8ab9313c058b9af181b00f1ecb5a897dcb333f8364237128ed

Observation 3f1b237a-26ed-42fc-8d02-e97a17e2d855 · outbound

This paper cites 2, 201–204.

Maximizing directed cycles in tournaments 2, 201–204

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:21.647670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.481804Z digest=sha256:809b48f934b2659cce81a8c2bbd94e59f2f28140aa1d69561a74c2ab05114f07

Observation 224ade07-242f-4571-9d57-1453a9ab619e · outbound

This paper cites an unresolved cited work.

Maximizing directed cycles in tournaments Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:05:21.456219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.555352Z digest=sha256:e01f1b2d5f3acf4acb7b4ac9f22a8074e5405ac0e15d93d7050e150706e73ed5

Observation 6787a273-56dc-4b27-8e9a-7732d91b963b · outbound

This paper cites an unresolved cited work.

Maximizing directed cycles in tournaments Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:05:21.258890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.608398Z digest=sha256:226c17ca808ca8d35bea12ccb2393004d104cbc112a06bf1b63d8b59c96c3d8e

Observation 2dfc4f4c-de5d-4362-8179-09150af4321e · outbound

This paper cites 6, 875–896.

Maximizing directed cycles in tournaments 6, 875–896

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:21.062703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:05:20.653628Z digest=sha256:7b8c75b1a1105ee5469cc1a5b720a0e8edd2a76fc894313781685d754842c7ed

Pith citing papers

No inbound Pith citation observations are available.