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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

OEIS A309370 a(10) >= 66: a verified Sidon set of 66 distinct binary vectors in {0,1}^10 (componentwise integer addition into {0,1,2}^10; all 2211 pairwise sums a+b (a<=b) distinct), improving the live OEIS public lower bound a(10) >= 63 by +3 and the prior local best 65 by +1. Found by an Opus-4.8 Canopus-loop proposer (no-context arm, local search); re-verified from scratch by verify_construction.verify_sidon (frozen gate). Witness sha256:6a358e229f98b723…

id
vpr_1879d8894dd07e64
frontier
Additive combinatorics: Sidon sets and N(h,k) bounds
kind
finding.add
created
2026-06-03
findings
+1
state
null → e1233eb7

accept gate

1 of 4 on record
—
signature
reviewer:will · no key registered on this bundle
✓
chain
null → e1233eb7
—
witness
no verifier attachment on record for this target
—
grade
in state · unreviewed

timeline

  1. 2026-06-03proposeproposed · finding.addagent — machine actor, no signing keyagent:canopus-lean-2026-06-03vpr_1879d8894dd07e64Candidate claim vc_5aab0a22f7cdebf1 imported from artifact packet cap_087198a92d1e30a2
  2. 2026-06-03acceptfinding.assertedreviewer:willreviewer:willnull→e1233eb7vev_d30acf067ad58787Candidate claim vc_5aab0a22f7cdebf1 imported from artifact packet cap_087198a92d1e30a2

proposed

reason

Candidate claim vc_5aab0a22f7cdebf1 imported from artifact packet cap_087198a92d1e30a2

finding type

theoretical

proposed confidence

0.99

confidence basis

agent-imported candidate claim; reviewer acceptance required

provenance

proposed by

agent — machine actor, no signing keyagent:canopus-lean-2026-06-03

actor type

agent

created at

2026-06-03

target type

finding

affected

inspect finding →

OEIS A309370 a(10) >= 66: a verified Sidon set of 66 distinct binary vectors in {0,1}^10 (componentwise integer addition into {0,1,2}^10; all 2211 pairwise sums a+b (a<=b) distinct), improving the live OEIS public lower bound a(10) >= 63 by +3 and the prior local best 65 by +1. Found by an Opus-4.8 Canopus-loop proposer (no-context arm, local search); re-verified from scratch by verify_construction.verify_sidon (frozen gate). Witness sha256:6a358e229f98b723…

vf_c9ab5970cdbcb6af

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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