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

The h-squared-dissociated set construction needed for the polynomial bound has diameter polynomial in k, replacing geometric components in the original construction.

id
vea_9a3732d508ed2861
frontier
Additive combinatorics: Sidon sets and N(h,k) bounds
source
vs_0339f84349ab29ec
finding
vf_3bde881fed68d7dd

evidence boundary

unknown

theoretical

finding binding

bound

theoretical

The h-squared-dissociated set construction needed for the polynomial bound has diameter polynomial in k, replacing geometric components in the original construction.

source binding

source-bound

ChatGPT-5.5-Pro session, 2026-05-08, ~2 hours guided

vs_0339f84349ab29ec

review context

unverified

2 events

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

statement

The h-squared-dissociated set construction needed for the polynomial bound has diameter polynomial in k, replacing geometric components in the original construction.

extraction method

manual_curation

support relation

unknown

condition refs

vcnd_59158216f6c83b62

caveats

  • missing evidence locator

Review, event, and evaluation records

4

events

  • vev_22c1fb678f86bdbbfinding.reviewed

    Bound and construction look correct under the Nathanson hypothesis but I want a Lean stub before promoting to accepted-core. The proof step that reduces geometric to polynomial diameter needs an explicit witness.

    reviewer:will-blairreviewer:will-blair · 2026-05-09

  • vev_bafff34df7ac6c1cfinding.asserted

    Manual finding added to frontier state

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

reviewable changes

  • vpr_48072f346e09665ffinding.add

    Manual finding added to frontier state

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

  • vpr_6908c4cf64f0f4bafinding.review

    Bound and construction look correct under the Nathanson hypothesis but I want a Lean stub before promoting to accepted-core. The proof step that reduces geometric to polynomial diameter needs an explicit witness.

    reviewer:will-blairapplied · reviewer:will-blair · 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

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