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Paper Citation Record · LEDGER

Maximizing directed cycles in tournaments

As of 9 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.413507Z digest=sha256:7ff0e4fec42cc0bd1c40d210bd4e38cbff7164c267dff6c37b104e07f7b6cc21

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.480965Z digest=sha256:54953657eda2910e11824540a396b7bef4ecdf507a299bbc4557709c8dfc23a2

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=sha256:7cadc85081aa496a2ad0641bc338b3d7c359cfb43c33fe8b1b4eb11e9c2e4626

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.600341Z digest=sha256:86d9f6f0d1f7668e6d5550a90fc2f9c159bd5a8f1174bdd37e3b1922cce53ce7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.657238Z digest=sha256:9eb60152fc24cafbf3e70064dee6cbb69c57e7a5f18f19cf607e5b01b2ae33e0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.737275Z digest=sha256:5a1aae4f491d3b645f2caf1358ebdd5589e367b2bb6834db722ad145ac95425e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.772929Z digest=sha256:48f58d595f913e674482aa5a303a181e183cf423e81be4e13e842638e0160f94

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.821643Z digest=sha256:5b2b7459363c2845dfdefea92383bac978dddde5a7c5f1f0e2798d164f52c165

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.907209Z digest=sha256:9246307f2ac8a0d065aeca4c7569cd853b445d9a8bcf7b4f6d97b4a6636a4971

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.944628Z digest=sha256:f2a89ecba405a70ba11d383c4f3382fe7636e5b98a99c60d85e907861f08c908

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:19.979718Z digest=sha256:8bc5d1c22148063381fc5b1dec85c31cd714db1e2b172dc4a46ff0399873f67a

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:aa478fcd7a5cd91c1cf76bc70aad22743cf1b93c7609c3ca8053417c2b462be6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.109045Z digest=sha256:917c1ea8ca3e6e9f462856e497f2eb73bfc4c2daeff97d5e35e23be6e09fc8ca

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.155141Z digest=sha256:a22d55dce6c7da00c3052ea43ea605b10e313b72c04177b21a187125f5fa09ff

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.210412Z digest=sha256:fd76fbda836f7fa0f8379e448cfe04b1f3879f1c321d8d728a1828eb545fec06

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.294445Z digest=sha256:033688c6dc2927958638426328ecaeed209b401675aaa25f6d920246f56db418

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.357028Z digest=sha256:15285fb23c049750d7702f60bcf6e4ceb7237b0ecbbb6dab1e6a97a3033cd635

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.413207Z digest=sha256:a6efc02c248e1a9b9423caf985b615efea5b3f1bff7e15263702e4bef6c8326b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.481804Z digest=sha256:01bb99727bd431bb89df58a44ecb12f53d46a93c7ed303f1ff98d13c964b8bd1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.555352Z digest=sha256:f3b03e04773c73eb8f62af727f7a7d1419c3ff1a9ebba3ad196cf3d60c986a1e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.608398Z digest=sha256:2d8ef77c3c855505bb623346d1c068c3cd921186c3a80097ef17c71bee2e2428

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:20.653628Z digest=sha256:4695c7266698cf660cbea0ca003cb9d53c9d225c6a5f7cf6886b8d873fd5aea9

Pith citing papers

No inbound Pith citation observations are available.