Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-26T18:34:47.043979Z
Paper Citation Record · LEDGER
A Four-Section Bracket for the 48-team World Cup
As of 22 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2606.19554.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
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
Reference resolution
15 of 15 outbound references displayed
- verified exact5
- verified fuzzy0
- unresolved7
- parse uncertain0
- malformed identifier3
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 548c7ff4-1b85-4abd-9025-3956fb75f972 · outbound
This paper cites Proposition 1.No tournament design can protect all 12 group winners equally once the field contains a non- power-of-two number of teams.
A Four-Section Bracket for the 48-team World Cup Proposition 1.No tournament design can protect all 12 group winners equally once the field contains a non- power-of-two number of teams
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T18:34:47.043979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 901444ba-0941-4675-a3cd-fb686f5e12b6 · outbound
This paper cites Under our framework, same-group separation is guaranteed by a simple, pre-decidable transfer rule: 1.Winnersx 1,y 1,z 1: remain in the home section to anchor the local bracket.
A Four-Section Bracket for the 48-team World Cup Under our framework, same-group separation is guaranteed by a simple, pre-decidable transfer rule: 1.Winnersx 1,y 1,z 1: remain in the home section to anchor the local bracket
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T18:34:47.043979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c723ece-6fbb-4590-8aad-fbcda1a5bbe5 · outbound
This paper cites World Cup 2026 groups, qualification rules and tiebreakers explained,.
A Four-Section Bracket for the 48-team World Cup World Cup 2026 groups, qualification rules and tiebreakers explained,
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T18:34:47.043979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b98d726-4936-4d26-915c-cd66bd7cecd5 · outbound
This paper cites 2026 FIFA World Cup knock- out stage,.
A Four-Section Bracket for the 48-team World Cup 2026 FIFA World Cup knock- out stage,
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T18:34:47.043979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03f5f559-0107-4b1a-9768-6c2262142de8 · outbound
This paper cites an unresolved cited work.
A Four-Section Bracket for the 48-team World Cup Unresolved cited work
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T18:34:47.043979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ca5d142-6bc6-4a52-89f0-70c0fba18734 · outbound
This paper cites Draw Procedures for the FIFA World Cup 2026,.
A Four-Section Bracket for the 48-team World Cup Draw Procedures for the FIFA World Cup 2026,
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T18:34:47.043979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 41c786c7-fe32-471c-9f9a-2b3cdc5037a5 · outbound
This paper cites Masset, R.
Reference 7
- Resolution
- malformed identifier
- doi_truncated, observed 2026-06-26T18:39:43.216738Z
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 cdc9e646-0b84-4c57-bfad-f5b205eae2f8 · outbound
This paper cites net/(accessed June 12, 2026).
A Four-Section Bracket for the 48-team World Cup net/(accessed June 12, 2026)
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T18:34:47.043979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7dc6bf7-413b-4869-adce-1a4c12a85441 · outbound
This paper cites On the non-uniformity of the 2026 FIFA World Cup draw,.
A Four-Section Bracket for the 48-team World Cup On the non-uniformity of the 2026 FIFA World Cup draw,
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T03:09:28.578868Z
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 491e04dd-13b1-4683-960a-5ba413156885 · outbound
This paper cites Format and schedule pro- posals for a FIFA World Cup with 12 four-team groups,.
A Four-Section Bracket for the 48-team World Cup Format and schedule pro- posals for a FIFA World Cup with 12 four-team groups,
Reference 10
- Resolution
- verified exact
- doi, observed 2026-06-26T18:39:43.214268Z
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 62a120ab-a6cb-4f0b-bde8-8a9a7523f1fa · outbound
This paper cites Increasing competitiveness by imbalanced groups: The example of the 48-team FIFA World Cup,.
A Four-Section Bracket for the 48-team World Cup Increasing competitiveness by imbalanced groups: The example of the 48-team FIFA World Cup,
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T03:09:28.588948Z
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 ca71005e-a8f0-491c-a813-ac1db08b9354 · outbound
This paper cites Mitigating the risk of tanking in multi- stage tournaments,.
A Four-Section Bracket for the 48-team World Cup Mitigating the risk of tanking in multi- stage tournaments,
Reference 12
- Resolution
- malformed identifier
- no resolver link, observed 2026-06-26T18:34:47.043979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1edd87be-0098-43b4-b493-c611cfd10f53 · outbound
This paper cites Risk of collusion: Will groups of 3 ruin the FIFA World Cup?.
A Four-Section Bracket for the 48-team World Cup Risk of collusion: Will groups of 3 ruin the FIFA World Cup?
Reference 13
- Resolution
- malformed identifier
- no resolver link, observed 2026-06-26T18:34:47.043979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b35388ea-42f6-429d-8076-7e7fb6a5de83 · outbound
This paper cites Demonstration of the collusion risk mitiga- tion effect of random tie-breaking and dynamic schedul- ing,.
A Four-Section Bracket for the 48-team World Cup Demonstration of the collusion risk mitiga- tion effect of random tie-breaking and dynamic schedul- ing,
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-06-26T18:39:43.217482Z
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 8cc4f896-01b6-4d04-b8b7-0249521ad983 · outbound
This paper cites Football group draw probabilities and corrections,.
A Four-Section Bracket for the 48-team World Cup Football group draw probabilities and corrections,
Reference 15
- Resolution
- verified exact
- doi, observed 2026-06-26T18:39:43.208789Z
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.
Pith citing papers
No inbound Pith citation observations are available.