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

Prior state unknown→proved

Scope and record

Occurred: Aug 1, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-verified. Publication: announcement. AI contribution: ai-discovered. Editorial metadata: CC BY 4.0; linked content retains its own rights.

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

Confidence: Not scored

Registry verification: lean verified · announcement · partial

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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

This event attributed to Astra (internal preview)

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

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

Reasoning walkthroughs (PDF) evidence for this event

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

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

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