mirror of
https://github.com/lux-apps/papers.git
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zeekay
dd93cb41f7
Sweep across the non-Tier-1 paper catalogue (Tier-1 owned by parallel
agent and excluded). All 113 processed papers already had luxcover
wired up; this commit fixes 14 build breakers and produces fresh
PDFs across the catalogue.
Fixes:
- lux-blockchain-scaling-laws: em-dash inside lstlisting -> --
- lux-corona-pq: stale \input pointing at 03-the-corona-scheme renamed
to 03-the-corona-scheme (file already renamed on disk)
- lux-lattice-cryptography-primer: same Corona->Corona rename
- lux-formal-verification-lean4: Lean source uses unicode (×, ∀, ∃, ∈,
∧, ∨, ∩, ≠, ⟨, ⟩, ·, ¬) inside lstlistings. Added a literate map
so listings render the math glyphs without UTF-8 fault.
- lux-id-did-specification: ✓/✗ in tabular replaced with \ding{51}
/ \ding{55} (pifont). Added pifont package.
- lux-ntt-simd-implementation: middle-dot in Go assembly listings;
added literate {·}{\textperiodcentered}.
- lux-ntt-transform: μ, ×, –, — in regular text (no T1 fontenc).
Replaced with $\mu$/$\times$/--/--- via unicode->latex sweep.
- lux-perpetuals-derivatives, lux-quantum-consensus,
lux-quasar-consensus, lux-tee-computing-mesh: same unicode->latex
sweep across body text. Also fixed broken math segment
`$L_{avg} = 10$\times$$` -> `$L_{avg} = 10\times$`.
- lux-zchain: emoji glyphs in roadmap table replaced with
parenthetical text.
- lux-triple-proof-consensus: dropped duplicate \usepackage{geometry}
that clashed with luxcover (geometry option clash).
- pq: defined missing \Rq macro.
PDFs rebuilt for the full Tier-2/3 set.
Excluded (Tier-1, parallel agent): lp-073-pulsar, lp-stricte2epq,
dag-evm-formal, lp-010-quasar-stm-{3,4}, lp-020-quasar-consensus,
lux-institutional-custody, lux-nist-mptc-submission, pqsafe-il5,
pq-rns, plus shared/ and lps/.
98 lines
3.8 KiB
TeX
98 lines
3.8 KiB
TeX
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%% ===================================================================
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%% LP-134 canonical naming (2025-12-15):
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%% Per LP-134 (Lux Chain Topology), T-Chain has been split into:
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%% M-Chain — MPC ceremonies for bridge custody of EXTERNAL wallets
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%% (CGGMP21, FROST, Pulsar-general)
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%% F-Chain — FHE compute + TFHE bootstrap-key generation (encrypted EVM)
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%% The legacy name "T-Chain" is retained ONLY for `teleportvm` (LP-6332).
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%% Where this paper says "T-Chain MPC" / "T-Chain threshold governance" /
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%% "T-Chain TFHE" / "T-Chain custody", read as M-Chain (MPC) or F-Chain (FHE).
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%% ===================================================================
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\documentclass[11pt,a4paper]{article}
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\usepackage{../shared/luxcover}
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\usepackage[utf8]{inputenc}
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\usepackage[T1]{fontenc}
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\usepackage{amsmath,amssymb,amsfonts,amsthm}
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\usepackage{graphicx}
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\usepackage{hyperref}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{booktabs}
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\usepackage{multirow}
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\usepackage{array}
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\usepackage{xcolor}
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\usepackage{float}
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\usepackage{enumitem}
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\usepackage{mathtools}
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\usepackage{tikz}
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\usetikzlibrary{arrows.meta,positioning,shapes.geometric}
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\newtheorem{theorem}{Theorem}
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{proposition}[theorem]{Proposition}
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\newtheorem{definition}{Definition}
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\newtheorem{corollary}[theorem]{Corollary}
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\newtheorem{remark}{Remark}
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\hypersetup{
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colorlinks=true,
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linkcolor=blue,
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citecolor=blue,
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urlcolor=blue
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}
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\title{\textbf{Threshold UX: Making Quorum, Recovery, and Shared Control Normal Product Experiences}\\[6pt]
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\large Invisible Threshold Cryptography for Approval Flows,\\Social Recovery, and Progressive Security on Lux Network}
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\author{
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Zach Kelling\thanks{Corresponding author: [email protected]}\\
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\textit{Lux Industries}\\
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\texttt{[email protected]}
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}
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\date{2025}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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Threshold cryptography is one of the most powerful primitives in applied
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cryptography: $t$-of-$n$ signature schemes, secret sharing, and multi-party
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computation enable security properties---recovery without seed phrases, shared
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control without a single admin, regulatory compliance without centralized
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escrow---that no single-key system can provide. Yet threshold cryptography
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remains almost entirely absent from consumer products. The reason is not
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technical. The primitives are mature. The reason is UX: threshold protocols
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are presented to users as cryptographic ceremonies involving share distribution,
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quorum assembly, and reconstruction rituals that make no sense outside a
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cryptographer's mental model. This paper presents Threshold UX---a set of
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design patterns that embed threshold cryptography into normal product
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experiences on Lux Network. We show how $t$-of-$n$ threshold signatures
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(FROST on the M-Chain) map to approval flows (``2 of 3 team members must
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approve''), social recovery (``any 3 of your 5 trusted contacts can restore
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your account''), shared workspaces (threshold access control over collaborative
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documents), treasury management (multi-party spend authorization), regulated
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access (compliance-gated reveal), and progressive security (start simple,
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add guardians as stakes increase). We formalize each pattern as a composition
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of T-Chain and M-Chain operations, prove security properties under standard
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threshold assumptions, and define the UX interaction model that hides
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cryptographic complexity behind familiar product metaphors.
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\end{abstract}
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\input{sections/01-introduction}
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\input{sections/02-threshold-primitives-on-lux}
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\input{sections/03-approval-flows}
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\input{sections/04-social-recovery}
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\input{sections/05-shared-workspaces}
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\input{sections/06-treasury-management}
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\input{sections/07-regulated-access}
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\input{sections/08-progressive-security}
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\input{sections/09-ux-interaction-patterns}
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\input{sections/10-security-analysis}
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\input{sections/99-conclusion}
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\end{document}
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