Vela

frontiers / frontier

Additive combinatorics: Sidon sets and N(h,k) bounds

constellation seal · derived from vfr_496956067dc5ad79
id
vfr_496956067dc5ad79
license
CC-BY-4.0
findings
22
accepted core
1
contested
1
links
0
sources
22
evidence
22
avg conf
0.83

used by 1 · replayed by 1 producer · second seat open

e33/33 · finding.asserted · reviewer:will · 2026-06-03 · null→e123

Evidence atom

back to sources

Roth's theorem: any subset of {1,...,N} of density alpha > C / log log N contains a nontrivial 3-term arithmetic progression.

id
vea_f96038a3a7013c00
frontier
Additive combinatorics: Sidon sets and N(h,k) bounds
source
vs_2bddd6f29fda7764
finding
vf_44e0fc831ac3e089

evidence boundary

unknown

theoretical

finding binding

bound

theoretical

Roth's theorem: any subset of {1,...,N} of density alpha > C / log log N contains a nontrivial 3-term arithmetic progression.

source binding

source-bound

Roth 1953

vs_2bddd6f29fda7764

review context

unverified

1 events

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

statement

Roth's theorem: any subset of {1,...,N} of density alpha > C / log log N contains a nontrivial 3-term arithmetic progression.

extraction method

manual_curation

support relation

unknown

condition refs

vcnd_7ea00d244b3623bc

caveats

  • missing evidence locator

Review, event, and evaluation records

2

events

  • vev_3fb034752181ed75finding.asserted

    Manual finding added to frontier state

    agent — machine actor, no signing keyagent:research-bot-2026-05-09 · 2026-05-09

reviewable changes

  • vpr_74482e3213627d43finding.add

    Manual finding added to frontier state

    agent — machine actor, no signing keyapplied · agent:research-bot-2026-05-09 · 2026-05-09

evaluations

No evaluation rows are attached.

statement.registered · agent:claude-proxy · 4 days

renders the record as of vev_e73c9b6c · 1,355 events · hub

Search Vela

Jump to a section, signal, campaign, document, primitive, work path, frontier, record index, atlas, constellation, agent, capability, or full-state search.