Vela

frontiers / frontier

Erdős problems frontier

constellation seal · derived from vfr_37aec80d874a0239
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

e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null

Evidence atom

back to sources

Erdos distinct distances problem (1946 conjecture, essentially solved by Guth-Katz 2010): n points in the plane determine at least Omega(n / log n) distinct pairwise distances, matching Erdos's lattice-construction upper bound up to log factors.

id
vea_ec756f84b75b93fa
frontier
Erdős problems frontier
source
vs_0460ed79bea681a0
finding
vf_88e9c72c825c6e93

evidence boundary

unknown

theoretical

finding binding

bound

theoretical

Erdos distinct distances problem (1946 conjecture, essentially solved by Guth-Katz 2010): n points in the plane determine at least Omega(n / log n) distinct pairwise distances, matching Erdos's lattice-construction upper bound up to log factors.

source binding

source-bound

Guth, Katz 2015, Annals of Mathematics

vs_0460ed79bea681a0

review context

unverified

1 events

1 reviewable changes and 0 evaluation records target this atom or its bound objects.

statement

Erdos distinct distances problem (1946 conjecture, essentially solved by Guth-Katz 2010): n points in the plane determine at least Omega(n / log n) distinct pairwise distances, matching Erdos's lattice-construction upper bound up to log factors.

extraction method

manual_curation

support relation

unknown

condition refs

vcnd_4e7bdace19be0984

caveats

  • missing evidence locator

Review, event, and evaluation records

2

events

  • vev_01cbc1c1f859edc0finding.asserted

    Manual finding added to frontier state

    reviewer:erdos-db-trustreviewer:erdos-db-trust · 2026-05-30

reviewable changes

  • vpr_bf28adc91bbd702dfinding.add

    Manual finding added to frontier state

    agent — machine actor, no signing keyapplied · agent:vela-curation-bot · 2026-05-10

evaluations

No evaluation rows are attached.

finding.noted · reviewer:will-blair · 2 days

renders the record as of vev_d199cb2e · 1,338 events · hub

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