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

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

Source record

back to sources

Guth, Katz 2015, Annals of Mathematics

id: vs_0460ed79bea681a0
frontier: Erdős problems frontier
year: 2015
type: paper

source boundary

frontier-owned

declared

finding bindings

record context

1 findings

evidence atoms

materialized

1 atoms

review context

inspectable

1 events

1 reviewable changes and 0 evaluations are attached through this source or its findings.

citation

locator

title:Guth, Katz 2015, Annals of Mathematics

imported

2026-05-10T19:27:57.531242+00:00

extraction mode

manual_curation

authors

agent:vela-curation-bot

caveats

No caveats recorded.

Bound findings

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.
theoretical · vf_88e9c72c825c6e93

Evidence atoms

vea_ec756f84b75b93fatheoretical · unknown
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.

Review, event, and evaluation records

events

vev_01cbc1c1f859edc0finding.asserted
Manual finding added to frontier state
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_bf28adc91bbd702dfinding.add
Manual finding added to frontier state
applied · agent:vela-curation-bot · 2026-05-10

evaluations

No evaluation rows are attached.