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Paper Citation Record · LEDGER

Maximizing directed cycles in tournaments

As of 8 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=sha256:887db99215911217dfb8fe8534fe7bb6965a10839043c733b4353f5bec3984db

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=sha256:35fe5ac7410dbcd280e03f0d4c9cba9175a7d566cab5f493cff20d745575c3ab

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=sha256:48a52d402579de9f336c5a32a7a7b390af69ce065daf7bcfd576b5da3cd99e55

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:fd5b2d342fc3d2ed3ce224fd4cd1acd8bd837a102a5abf7376a78ef10e2c7015

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=sha256:7ab270a6724f5cdd8a3dd6bcd032827238b18c0352fddf6f56800c38fadcb7e5

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:bd3eae9e09833cbca042cce5322a53af1110c316196f15858f1b997c9a8dd7fc

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:fc7c74540490258d2b363b9f66fa0832345454ece8744b48360595ecb9407bf1

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=sha256:0d62242f8126847d6481e0a533cde552b2809f4cf6743aacdff097f068f31e5c

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=sha256:07faa3e6f757d8039bacc858f650df5f78dadfeda5841870709a49b9a3ef9472

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=sha256:010ea94503887ef752455a4ea519d585132c15f2407823fc23c1fc185e658512

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=sha256:63d465618ea9d26492f5273d58399f0df80e6b65e72b348e4d5bc5968da06cbb

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=sha256:2312d3c6ed31bed650dd3179bbe184a2946bde5a56f57e70ed67fe4eb2699de1

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=sha256:1593bd4281f52f19a7647222b88d4bdf716a950de65f6174356061ee6ad63005

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:fe339ed1e8e0fc86e319ea9278054a4b2b8091f5ba357489d88b543a85985e26

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:ad78c78c9ae34ec13bffdb75d618f1321bfba7d6edb8991f430a2a00bf6371e1

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=sha256:31456f3983104973e67f4e59d4afd123fcdadacdd367a79a7ddee2b9c85ef647

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:e6eeb1a0f63dca0a428e5c01763b45d87a4693e77df991328992dad3bc86a5ed

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=sha256:34f74a0253b4e41c56a197f68da2bb76284ba7233ee64736c40ea24680166c72

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:b6674f912e30ce1e42b50a13f5ce47c46a99983019b0ee360a831c6e8472ffe6

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:e07c1cfbd400359b3cc5a4382cfecab06a2bcf10c74c1e8c44ec7b4a379557a4

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=sha256:7a2de39c925ee60172517990c26ba6008b8d00e0a32426e8217a8efb211816c9

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=sha256:2dbc59232378e5c3fec1f736f6ef6e460d9475edae469d08717d5f46b8a9b7be

Pith citing papers

No inbound Pith citation observations are available.