frontiers / frontier

Erdős problems frontier

id: vfr_37aec80d874a0239
license: CC-BY-4.0
findings: 1,256
accepted core: 6
contested: 0
links: 17
sources: 1,234
evidence: 1,256
avg conf: 0.98

used by 0 · replayed by 2 producers

e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null

Finding bundle

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Erdos minimum-overlap problem (1955, partial bounds known): given a partition of {1,...,2n} into A and B with |A|=|B|=n, the minimum over all partitions of max_k |{(a,b) in A x B : b - a = k}| is between c1n and c2n with the constants improved iteratively.

id: vf_5f91b9804d33b469
frontier: Erdős problems frontier
version: 1
confidence: 0.60

no incoming links yet

file

/frontier/erdos-problems/at/vev_9a5efe8213cf9bbcpermalink · after_hash f4248ea9e18be913…

vf_5f91b9804d33b469 · erdos-problems · snapshot sha256:adf5cd08914be106b09be94cb69e55449b5195f7c3e9894fc07c7fc288c446c0 · https://vela-site-next.fly.dev/frontier/erdos-problems/at/vev_9a5efe8213cf9bbc

cite

raw json · vf_5f91b9804d33b469 (2.1 KB)

machine twin · index.json

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  "text": "Combinatorial discrepancy in partitions of {1,...,2n}. Bounded iteratively but exact value open."
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Unsealed — 0 attachment(s) on record, awaiting independent verification.

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blame · custody trail

produced byreviewer:erdos-db-trustfinding.asserted · 2026-05-30vev_caa42b2a7710d4ae

checked byno verifier attachment on record

accepted byno accept signed

history · 1 event

e39/1288finding.assertedreviewer:erdos-db-trust2026-05-30→3321abdfb7

record state

frontier-owned

Review status

unreviewed

finding statement

finding type

theoretical

No entity list is declared.

evidence

source-bound

1 atoms

theoretical · manual state transition

proof impact

packet context

1 events

1 reviewable changes and 0 evaluation records are attached to this finding id.

evidence

method

manual state transition

evidence type

theoretical

conditions

species_unverified
species_verified
text: Combinatorial discrepancy in partitions of {1,...,2n}. Bounded iteratively but exact value open.

provenance

source title

Erdos 1955 problem; later improvements by Swinnerton-Dyer 1959 and others

authors

agent:vela-curation-bot

Source records

source record

declared

Erdos 1955 problem; later improvements by Swinnerton-Dyer 1959 and others

vs_5be2183c0d93c56b

title:Erdos 1955 problem; later improvements by Swinnerton-Dyer 1959 and others

1955manual_curation

Evidence atoms

vea_69e9c845a52258b6theoretical · unknown
Erdos minimum-overlap problem (1955, partial bounds known): given a partition of {1,...,2n} into A and B with |A|=|B|=n, the minimum over all partitions of max_k |{(a,b) in A x B : b - a = k}| is between c1*n and c2*n with the constants improved iteratively.
vs_5be2183c0d93c56b · manual_curation

Typed links

outgoing

No outgoing links.

incoming

No incoming links.

Review, event, and evaluation records

events

vev_caa42b2a7710d4aefinding.asserted
Manual finding added to frontier state
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_06bf00db6ea83cf0finding.add
Manual finding added to frontier state
applied · agent:vela-curation-bot · 2026-05-10

evaluations

No evaluation record targets this finding id.

Review status

theoretical

1 atoms

1 events

Source records

Erdos 1955 problem; later improvements by Swinnerton-Dyer 1959 and others

Evidence atoms

Typed links

Review, event, and evaluation records

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