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papers/mpc-custody/sections/01-introduction.tex
zeekay cb1155764d paper(ssb-partnership): Salaam Somali Bank — Shariah-native, diaspora-linked, Africa-wide modernisation
19-page paper (luxcover format) covering:
- SSB profile + diaspora corridor + why now (Honeycoin / VALR comparables)
- Partnership hypothesis (Simplici.io + Lux Network + SF Private Pay)
- Africa-at-Home concentric-rings deployment model
- Shariah-to-Lux primitive mapping (Murabahah, Mudharabah, Musharakah,
  Ijaarah, Sukuk, Takaful as typed on-chain objects with AAOIFI-aligned
  invariants)
- 5 augmentation workstreams (Shariah-native onboarding, on-chain
  Shariah contracts, diaspora corridor, drought-linked parametric
  Takaful, trade-finance digitisation)
- Commercial + compliance posture + phased roadmap
2026-06-10 22:35:36 -07:00

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TeX

\section{Introduction}
\label{sec:intro}
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Traditional securities custody relies on a custodian bank that holds
assets on behalf of clients. The custodian is a single point of
failure: if it is compromised, all client assets are at risk. If it
becomes insolvent, clients are general creditors. Blockchain-based
securities remove the custodian by making the private key the proof
of ownership, but this shifts the risk to key management: a lost key
means lost assets, and a stolen key means stolen assets.
Threshold signing eliminates the single-key problem. Instead of a
single private key, the signing capability is distributed across
multiple parties via secret sharing. A $t$-of-$n$ threshold scheme
requires $t$ parties to cooperate to produce a valid signature, while
any $t-1$ parties learn nothing about the key. The on-chain address
is derived from the \emph{aggregate} public key and is
indistinguishable from a standard single-key address.
This paper describes the custody architecture deployed on the Liquid
EVM for digital securities. The architecture uses two threshold
signing protocols:
\begin{itemize}[nosep]
\item \textbf{CGGMP21}~\cite{cggmp21}: Threshold ECDSA for
secp256k1. Produces standard $(r, s, v)$ Ethereum signatures.
Used on EVM chains (downstream EVM L1s, Ethereum, Polygon, BSC).
\item \textbf{FROST}~\cite{frost}: Threshold Schnorr for Ed25519
and BIP-340 Taproot. Produces standard 64-byte Schnorr
signatures. Used on Solana, TON, Cosmos, and Bitcoin Taproot.
\end{itemize}
Both protocols operate over the same Shamir secret sharing
infrastructure (the \texttt{luxfi/threshold} LSS library) and share
a common key generation ceremony.
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