proposed
reason
Manual finding added to frontier state
finding type
theoretical
proposed confidence
0.85
confidence basis
operator-supplied frontier prior; review required
frontiers / frontier
Additive combinatorics: Sidon sets and N(h,k) bounds
- 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
e33/33 · finding.asserted · reviewer:will · 2026-06-03 · null→e123
Reviewable change
back to reviewadd a finding
acceptedBehrend's construction yields subsets of {1,...,N} of size N * exp(-c * sqrt(log N)) containing no nontrivial 3-term arithmetic progression, the densest such known until 2020.
- id
- vpr_e8f2d600cbebd03d
- frontier
- Additive combinatorics: Sidon sets and N(h,k) bounds
- kind
- finding.add
- created
- 2026-05-09
- findings
- +1
- state
- null → 09da81ef
accept gate
1 of 4 on record- —
- signature
- agent:research-bot-2026-05-09 · no key registered on this bundle
- ✓
- chain
- null → 09da81ef
- —
- witness
- no verifier attachment on record for this target
- —
- grade
- in state · unreviewed
timeline
- 2026-05-09proposeproposed · finding.addagent:research-bot-2026-05-09
vpr_e8f2d600cbebd03dManual finding added to frontier state - 2026-05-09acceptfinding.assertedagent:research-bot-2026-05-09
null→09da81efvev_49d1b9096fd11088Manual finding added to frontier state
provenance
proposed by
agent:research-bot-2026-05-09
actor type
human
created at
2026-05-09
target type
finding
affected
inspect finding →Behrend's construction yields subsets of {1,...,N} of size N * exp(-c * sqrt(log N)) containing no nontrivial 3-term arithmetic progression, the densest such known until 2020.
vf_11e2e2a19e75887dDiff
Read-only frontier; diff not recomputed.
Review chain
- 01requestopen review →
Change request
Additive combinatorics: Sidon sets and N(h,k) bounds receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.
- 02packetopen the campaign →
Diff packet
The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.
- 03checksinspect checks →
Check output
Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.
- 04reviewread queue →
Reviewer decision
A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.
- 05acceptedinspect events →
Accepted event
Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.