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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

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finding.span_repair

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

The polynomial method bounds 3-AP-free subsets of (Z/4Z)^n by 4^{0.926n}, far below the 4^n total, breaking the previous logarithmic-style bounds for cap-set-style problems.

id
vpr_e3d8c0aa1f6869e5
frontier
Additive combinatorics: Sidon sets and N(h,k) bounds
kind
finding.span_repair
created
2026-05-21
state
f2b2072d → 0d936f12

accept gate

1 of 4 on record
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signature
reviewer:solo-maintainer · no key registered on this bundle
✓
chain
f2b2072d → 0d936f12
—
witness
no verifier attachment on record for this target
—
grade
in state · unreviewed

timeline

  1. 2026-05-21proposeproposed · finding.span_repairreviewer:solo-maintainerreviewer:solo-maintainervpr_e3d8c0aa1f6869e5Attach source-backed abstract span for the Croot-Lev-Pach Z_4^n bound; does not change the assertion.
  2. 2026-05-21acceptfinding.span_repairedreviewer:solo-maintainerreviewer:solo-maintainerf2b2072d→0d936f12vev_34883b43241d8c83Attach source-backed abstract span for the Croot-Lev-Pach Z_4^n bound; does not change the assertion.

proposed

reason

Attach source-backed abstract span for the Croot-Lev-Pach Z_4^n bound; does not change the assertion.

provenance

proposed by

reviewer:solo-maintainerreviewer:solo-maintainer

actor type

human

created at

2026-05-21

target type

finding

affected

inspect finding →

The polynomial method bounds 3-AP-free subsets of (Z/4Z)^n by 4^{0.926n}, far below the 4^n total, breaking the previous logarithmic-style bounds for cap-set-style problems.

vf_7273c1823848f6e3

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

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  3. 03checks

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  5. 05accepted

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

renders the record as of vev_d199cb2e · 1,338 events · hub

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