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zeekayandHanzo Dev 70f6883235 Restore the regulated-markets papers; Lux holds the licences
A July commit removed eight papers on the premise "no license — DEX/non-custodial
only". That premise is wrong: Lux operates an ATS, a broker-dealer, a transfer
agent and a bank, and this material is resold at lux.financial. The merge that
brought main in preserved the removal because the commit stated a reason, which
is how a stale reason outlives the fact it rested on.

Back, at the versions main carried — main never received the removal, so its
copies are the later ones: the ATS architecture, the security-token standard,
smart order routing, institutional custody, MPC custody, post-quantum securities,
the SSB partnership and the CoinBridge brief. 83 files.

Co-authored-by: Hanzo Dev <[email protected]>
2026-08-30 15:58:05 -07:00

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\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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