Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-01T04:54:31.727180Z
Paper Citation Record · LEDGER
As of 22 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2606.31565.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-01T04:54:31.727180Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
42 of 42 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 013a8635-a3aa-4160-998a-3af26906357c · outbound
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 17ac2d67-2d46-4a8e-936e-02664703a4a4 · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 294dd38a-9546-454a-a4bc-c241d94f50f0 · outbound
Tournament Ranking: Duality and Efficiency Alon, Ranking tournaments,SIAM J
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation af3a6f73-0334-40b8-b003-642343cfa64a · outbound
Tournament Ranking: Duality and Efficiency Applegate, W
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5c4af56a-ce73-420d-b0b4-c6e719ba8606 · outbound
Tournament Ranking: Duality and Efficiency Barahona, J
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 85ce95d2-e2b2-4b5a-bb4a-d7e76818bb8f · outbound
Tournament Ranking: Duality and Efficiency Barahona and A
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5d51b29e-090b-426e-9061-a304a8268903 · outbound
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 455944dd-2e86-43a5-9ab6-ac4120112254 · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7d6178c3-e0cc-49df-ab48-68eb1a784371 · outbound
Tournament Ranking: Duality and Efficiency Caprara, A
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 90b5233d-70b9-4a17-aad0-b6f9e53f9cba · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d1629925-f017-4752-86ab-7c2313dd1d5e · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2bf04244-556b-4b55-875a-356b7aa6cdd6 · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7291e0dc-bd6b-40d5-a79b-14dd37ff00bf · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9309aef2-a86d-4c74-84a9-6e12b6c48cbb · outbound
Tournament Ranking: Duality and Efficiency Charbit, P
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8041a58a-0721-4f3b-9548-24a7b84ddf88 · outbound
Tournament Ranking: Duality and Efficiency Coppersmith, L
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation da4312d9-5e1a-42a6-9c3f-9049933d1db5 · outbound
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a042b108-85d4-450f-8ae0-0d3c71ca6f14 · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1415d8a1-6e9a-4ae0-a243-3891c82d9057 · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 487e44ca-dbd8-4ffa-ae28-edea373172d8 · outbound
Tournament Ranking: Duality and Efficiency Ding and W
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6f756612-1cfd-43e9-b33c-1ec1385efc51 · outbound
Tournament Ranking: Duality and Efficiency Edmonds and R
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ae12c10f-4d33-42b4-935a-0501d508ae58 · outbound
Tournament Ranking: Duality and Efficiency Erd˝ os and J
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1d6cf143-a522-4a88-87f7-d24dd7b9badd · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2b5275e5-4bc6-4fc5-b59b-529ca21e7528 · outbound
Tournament Ranking: Duality and Efficiency Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 829f6b75-0b72-4169-b11b-3311f4f4968c · outbound
Tournament Ranking: Duality and Efficiency Fulkerson, Upsets in round robin tournaments,Canad
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fa8063bf-8845-48f2-a891-4ef12626ab51 · outbound
Tournament Ranking: Duality and Efficiency Geelen and B
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7301902d-f0c9-4c5a-b2d7-b0b1edd99210 · outbound
Tournament Ranking: Duality and Efficiency Gr¨ otschel, L
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 42510f87-2eed-4cbe-86a2-23e30ad586b7 · outbound
Tournament Ranking: Duality and Efficiency Guenin, Circuit Mengerian directed graphs, in:Integer Programming and Combinatorial Optimization(Utrecht, 2001), Lecture Notes in Comput
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ce39ca8a-fc14-40c7-b3de-052c452caba1 · outbound
Tournament Ranking: Duality and Efficiency Guenin, A short proof of Seymour’s characterization of the matroids with the max-flow min-cut property,J
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b130402a-4103-4552-914f-10d2f2e96f3f · outbound
Tournament Ranking: Duality and Efficiency Guenin and R
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a2f907cb-ef45-4763-b917-0950889bbf23 · outbound
Tournament Ranking: Duality and Efficiency J¨ unger,Polyhedral Combinatorics and the Acyclic Subdigraph Problem, Heldermann Verlag, Berlin, 1985
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d2225ce4-a341-412c-9312-d3f70b60e46d · outbound
Tournament Ranking: Duality and Efficiency Krivelevich, Z
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0e5c1faa-82e5-45a1-83c3-d281410af47b · outbound
Tournament Ranking: Duality and Efficiency Lucchesi and D
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 08f933f6-8883-4645-b818-c41a13c4daaa · outbound
Tournament Ranking: Duality and Efficiency Mathieu and W
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 90d4e1b7-832c-463b-878d-5f293e87cb30 · outbound
Tournament Ranking: Duality and Efficiency Seymour, The matroids with the max-flow min-cut property,J
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 005c9ca1-fbb9-462a-b0e5-a512e13a45fb · outbound
Tournament Ranking: Duality and Efficiency Seymour, Packing directed circuits fractionally,Combinatorica15(1995), 281–288
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fb4035a2-14a2-437c-afd1-3be7095244ef · outbound
Tournament Ranking: Duality and Efficiency Seymour, Packing circuits in eulerian digraphs,Combinatorica16(1996), 223-231
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6ecdbbc4-9b75-4d87-9bcb-58915400f276 · outbound
Tournament Ranking: Duality and Efficiency Slater, Inconsistencies in a schedule of paired comparisons,Biometrika48(1961), 303- 312
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation df1066bc-66a4-41b3-a3d7-7cf2a705bf0d · outbound
Tournament Ranking: Duality and Efficiency Spencer, Optimal ranking of tournaments,Networks1(1971), 135-138
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fb40d20b-df98-4aa9-8aa4-4d8f178f5b2a · outbound
Tournament Ranking: Duality and Efficiency Tarjan, Depth-first search and linear graph algorithms,SIAM J
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1064a844-18d8-4ae7-aa94-f1494fa56a1e · outbound
Tournament Ranking: Duality and Efficiency Tarjan, A simple version of Karzanov’s blocking flow algorithm,Oper
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f30d4931-1250-4eec-b08d-573cf705f018 · outbound
Tournament Ranking: Duality and Efficiency van Zuylen and D
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f38cef0a-0a93-4492-bfb9-6685e0552262 · outbound
Tournament Ranking: Duality and Efficiency Younger, Minimum feedback arc sets for a directed graphs,IEEE Trans
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
No inbound Pith citation observations are available.