📖 ZK Tale 9: Pairing Dance 🌖

act · swordsman · knowledge · zero_knowledge

The Pairing Dance. Blade 27 (011011), Moon Phase 🌖, V(π,t) terms: [C, Q]. Vertex ⟨1,1,0,1,1,0⟩. Bilinear Pairings, Groth16, KZG Commitments.

Two groups dance separately until the pairing unites them. In that union, addition becomes multiplication, and encrypted polynomials become verifiable. The secret tau binds all proofs yet must be destroyed to secure them.

Spell   💃 G₁ × G₂ → 🤝 GT(bilinear) · KZG: commit(φ) = g^φ(τ)

Edges out

• follows → ZK Tale 10: Commitment Ceremony 🌖
• narrates → Crypto ZKP

Edges in

• ZK Tale 8: Plonkish Revolution 🌔 follows →
• Zero Knowledge Spellbook v2.0 defines →

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