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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

Singer's perfect-difference-set construction in projective planes yields Sidon sets in {1,...,N} of size sqrt(N) + O(N^{1/4}), matching the elementary upper bound up to lower-order terms.

id
vpr_44f9914c5b11193d
frontier
Additive combinatorics: Sidon sets and N(h,k) bounds
kind
finding.add
created
2026-05-09
findings
+1
state
null → 3f0ce8db

accept gate

1 of 4 on record
signature
agent:research-bot-2026-05-09 · no key registered on this bundle
chain
null → 3f0ce8db
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_44f9914c5b11193dManual finding added to frontier state
  2. 2026-05-09acceptfinding.assertedagent — machine actor, no signing keyagent:research-bot-2026-05-09null3f0ce8dbvev_69ef89c6d2c97f4fManual 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

Singer's perfect-difference-set construction in projective planes yields Sidon sets in {1,...,N} of size sqrt(N) + O(N^{1/4}), matching the elementary upper bound up to lower-order terms.

vf_203f4969695ff256

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

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