Files
zeekay f4ee7a0525 Publish under the org, not a person
Bylines, paper authorship, correspondence addresses and the founder blurb under
each post named an individual. They name the organisation that published the
work instead: the brand on posts and pages, the research byline on papers, and
research@ in place of a personal address. Both are what these repositories
already used elsewhere — nothing new was coined.

Co-authors are untouched. Where a paper named someone else alongside, they stay
named; only the one byline changed. Bibliography entries, running heads,
PDF metadata and affiliations move with it, so a citation still resolves to
whoever the cited paper names.

Sample and fixture data uses the placeholder name these tests already use
elsewhere, so no assertion changed meaning.
2026-09-01 08:58:10 -07:00

98 lines
3.8 KiB
TeX

%% ===================================================================
%% LP-134 canonical naming (2025-12-15):
%% Per LP-134 (Lux Chain Topology), F-Chain has been split into:
%% M-Chain — MPC ceremonies for bridge custody of EXTERNAL wallets
%% (CGGMP21, FROST, Pulsar-general)
%% F-Chain — FHE compute + TFHE bootstrap-key generation (encrypted EVM)
%% F-Chain is REMOVED entirely; teleport is B-Chain (bridgevm, LP-6000). No teleportvm.
%% Where this paper says "F-Chain MPC" / "F-Chain threshold governance" /
%% "F-Chain TFHE" / "F-Chain custody", read as M-Chain (MPC) or F-Chain (FHE).
%% ===================================================================
\documentclass[11pt,a4paper]{article}
\usepackage{../shared/luxcover}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amssymb,amsfonts,amsthm}
\usepackage{graphicx}
\usepackage{hyperref}
\usepackage{algorithm}
\usepackage{algpseudocode}
\usepackage{booktabs}
\usepackage{multirow}
\usepackage{array}
\usepackage{xcolor}
\usepackage{float}
\usepackage{enumitem}
\usepackage{mathtools}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,positioning,shapes.geometric}
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{remark}{Remark}
\hypersetup{
colorlinks=true,
linkcolor=blue,
citecolor=blue,
urlcolor=blue
}
\title{\textbf{Threshold UX: Making Quorum, Recovery, and Shared Control Normal Product Experiences}\\[6pt]
\large Invisible Threshold Cryptography for Approval Flows,\\Social Recovery, and Progressive Security on Lux Network}
\author{
Lux Research\thanks{Corresponding author: [email protected]}\\
\textit{Lux Industries}\\
\texttt{[email protected]}
}
\date{2025}
\begin{document}
\luxcoverpage
\begin{abstract}
Threshold cryptography is one of the most powerful primitives in applied
cryptography: $t$-of-$n$ signature schemes, secret sharing, and multi-party
computation enable security properties---recovery without seed phrases, shared
control without a single admin, regulatory compliance without centralized
escrow---that no single-key system can provide. Yet threshold cryptography
remains almost entirely absent from consumer products. The reason is not
technical. The primitives are mature. The reason is UX: threshold protocols
are presented to users as cryptographic ceremonies involving share distribution,
quorum assembly, and reconstruction rituals that make no sense outside a
cryptographer's mental model. This paper presents Threshold UX---a set of
design patterns that embed threshold cryptography into normal product
experiences on Lux Network. We show how $t$-of-$n$ threshold signatures
(FROST on the M-Chain) map to approval flows (``2 of 3 team members must
approve''), social recovery (``any 3 of your 5 trusted contacts can restore
your account''), shared workspaces (threshold access control over collaborative
documents), treasury management (multi-party spend authorization), regulated
access (compliance-gated reveal), and progressive security (start simple,
add guardians as stakes increase). We formalize each pattern as a composition
of M-Chain and F-Chain operations, prove security properties under standard
threshold assumptions, and define the UX interaction model that hides
cryptographic complexity behind familiar product metaphors.
\end{abstract}
\input{sections/01-introduction}
\input{sections/02-threshold-primitives-on-lux}
\input{sections/03-approval-flows}
\input{sections/04-social-recovery}
\input{sections/05-shared-workspaces}
\input{sections/06-treasury-management}
\input{sections/07-regulated-access}
\input{sections/08-progressive-security}
\input{sections/09-ux-interaction-patterns}
\input{sections/10-security-analysis}
\input{sections/99-conclusion}
\end{document}