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Paper Citation Record · LEDGER

Maximizing directed cycles in tournaments

As of 22 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.413507Z digest=sha256:8f55f87a1ef83e9e6cbedbdc910dce23984c29a4d2e442e8d32ad75097ae88df

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.480965Z digest=sha256:0bd9a0b83294fe49fa47b4910fb0c30b9ef1cc0c94d6e4f3c9005a037f8202d1

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=sha256:54bdf7a8d3d4f61a1f47c7da9c4b83b090e6b97b4fa6dff7a148d2ef5691162c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.600341Z digest=sha256:b78d3575a314057340319ecb1bee344eed0eede5594193987082f182eac1d7b6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.657238Z digest=sha256:1dfa58308ac7edb9e85f3fb510b2893b27742940408d275056b2fa2c8928bb03

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.737275Z digest=sha256:af2925cad11a52cad55b63424a8c5fe0c7e98c64edeada08f782fa19119a67b5

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.772929Z digest=sha256:14c6f395d8f3f84832b41e75080785e53226d96df36e59405534fa41b4cee37a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.821643Z digest=sha256:eb1d6b87d97abc9934ca4a2f7dd6cb9f35fcd7e5f29034db2ee7543e4a2c7b3d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.907209Z digest=sha256:028384f6c9d832c1da64e00bb9677bbc4cfab1c6fd934c533a8dc944e25a1e23

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.944628Z digest=sha256:021f741ee5ea0290530c64b4a50124d901ae7f832218459188e0eab852601b56

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:19.979718Z digest=sha256:c679b54928bb353583f84fe2ce7ff6eee008c806290ebb83c815d295cca54eeb

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:bac4529af6d7623eda50d79510c058f653aec53463d84aab7bdb292dbcbd4b57

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.109045Z digest=sha256:2d81c1ed7e1b4fd442b4fe8f24b66fdb00f994bc75c9fd2020695119ca938d6e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.155141Z digest=sha256:16fe56a7ff1dca6cdaf42b9b676ce04cbe614859c77a4dc1fe851cd8724de692

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.210412Z digest=sha256:a2cb41900bed4a6b281f52ddf4dcb2c4f012a349ac0ec2382c004c66bdcfadc3

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.294445Z digest=sha256:2182fe32b2f34fce40a1b83b89977800b46f2b38250705a3934ac912cdc5e90c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.357028Z digest=sha256:1a6f22c625bf9210e3c6d1dd1419116afa88202da330d086df2a6ebecc22c415

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.413207Z digest=sha256:5e9442718589fc0a2c6cd025cd833a3d61718b98fc4e3cfd9a6cce59b1d73668

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.481804Z digest=sha256:ee517b82b6b5eecf0ea75b26f62623b57ca37ed13035e8fe570f40ce791dd673

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.555352Z digest=sha256:f3df975a0c6d1881e1aa129877d6d2fc09152d584bc23acb2e687f89734294bf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.608398Z digest=sha256:42d4b0e1e0b0308df7d938972f93e8232d58538775c68b24d414cc3b6f945996

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:05:20.653628Z digest=sha256:f0e537120f73a9182953868826a01b7948ae545e10fcc041df8ce74e5de9904a

Pith citing papers

No inbound Pith citation observations are available.