Vela
✦ 5 frontiers

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

Reviewable change

back to review

add a finding

verified — A frozen deterministic verifier re-checked the claim and passed.accepted

B_h sets, the h-fold generalization of Sidon sets, have maximum density satisfying |A| <= (h! * N)^{1/h} + O(N^{1/(2h)}) in {1,...,N}.

id
vpr_a7deb3a116a9a51c
frontier
Additive combinatorics: Sidon sets and N(h,k) bounds
kind
finding.add
created
2026-05-09
findings
+1
state
null → bbcb81a6

accept gate

1 of 4 on record
—
signature
agent:research-bot-2026-05-09 · no key registered on this bundle
✓
chain
null → bbcb81a6
—
witness
no verifier attachment on record for this target
—
grade
in state · unreviewed

timeline

  1. 2026-05-09proposeproposed · finding.addagent — machine actor, no signing keyagent:research-bot-2026-05-09vpr_a7deb3a116a9a51cManual finding added to frontier state
  2. 2026-05-09acceptfinding.assertedagent — machine actor, no signing keyagent:research-bot-2026-05-09null→bbcb81a6vev_2d1c52ae40ef2ec7Manual finding added to frontier state

proposed

reason

Manual finding added to frontier state

finding type

theoretical

proposed confidence

0.85

confidence basis

operator-supplied frontier prior; review required

provenance

proposed by

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

actor type

human

created at

2026-05-09

target type

finding

affected

inspect finding →

B_h sets, the h-fold generalization of Sidon sets, have maximum density satisfying |A| <= (h! * N)^{1/h} + O(N^{1/(2h)}) in {1,...,N}.

vf_37afa7032e4b3d06

Diff

Read-only frontier; diff not recomputed.

Review chain

  1. 01request

    Change request

    Additive combinatorics: Sidon sets and N(h,k) bounds receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.

    open review →
  2. 02packet

    Diff packet

    The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.

    open the campaign →
  3. 03checks

    Check output

    Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.

    inspect checks →
  4. 04review

    Reviewer decision

    A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.

    read queue →
  5. 05accepted

    Accepted event

    Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.

    inspect events →

finding.noted · reviewer:will-blair · 1 day

renders the record as of vev_d199cb2e · 1,338 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.