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FullRSB Jamming Identity a + b = 1

Can the critical-exponent relation $a + b = 1$ at the jamming transition, observed numerically to high precision in the full replica-symmetry-breaking solution of hard spheres, be derived analytically from the scaling equations?

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jun 2, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: expert-verified. Publication: peer-reviewed. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: FullRSB Jamming Identity a + b = 1 · Jamming exponents

Confidence: Not scored

Registry verification: expert verified · peer reviewed · resolved

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Attribution

VibeMathed
registry · event recorded by

Giorgio Parisi
human · human collaborator

Francesco Zamponi
human · human collaborator

Claude Sonnet 4.6
model · ai model contributor · Anthropic

Claude Opus 4.7
model · ai model contributor · Anthropic

Lineage and corrections

This event attributed to Francesco Zamponi

This event attributed to Giorgio Parisi

This event attributed to Claude Opus 4.7

This event attributed to Claude Sonnet 4.6

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FullRSB Jamming Identity a + b = 1 — Mathematical Frontier Network