Source authenticated

Lower Bounds for the Permanent in Arithmetic Circuits

an n^4/log n formula lower bound; VP vs VNP remains wide open

Exact FrontierDelta

proved→proved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: lean-verified. Publication: announcement. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

Canonical aliases: Lower Bounds for the Permanent in Arithmetic Circuits · Permanent lower bounds

Confidence: Not scored

Registry verification: lean verified · announcement · partial

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

Astra (internal preview)
model · ai model contributor · OpenAI

Artifacts and verifiers

Lean certificate (Permanent.lean)

lean artifact · passed

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

Corrects Lower Bounds for the Permanent in Arithmetic Circuits →

Supersedes Lower Bounds for the Permanent in Arithmetic Circuits →

Lower Bounds for the Permanent in Arithmetic Circuits parent of this event

Quantum Parallel Repetition evidence for this event

an n^4/log n formula lower bound; VP vs VNP remains wide open parent of this event

Lean certificate (Permanent.lean) evidence for this event

This event attributed to Astra (internal preview)

VibeMathed record: Lower Bounds for the Permanent in Arithmetic Circuits evidence for this event

Reasoning walkthroughs (PDF) evidence for this event

Manuscripts (ten-proofs paper, PDF) evidence for this event

Act on this frontier

Verify, challenge, or extend the result.