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/.
55 lines
2.5 KiB
TeX
55 lines
2.5 KiB
TeX
\documentclass[11pt,twocolumn]{article}
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\usepackage{../shared/luxcover}
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% Packages
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\usepackage{amsmath,amssymb,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{xcolor}
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\usepackage{url}
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\usepackage{cite}
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% Theorem environments
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\newtheorem{theorem}{Theorem}
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{definition}{Definition}
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% Title and authors
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\title{\textbf{Universal Threshold Signatures:\\Multi-Chain Cryptographic Infrastructure\\with Post-Quantum Security}}
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\author{
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Zach Kelling\thanks{Corresponding author: [email protected]}
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\quad
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Vishnu Seesahai\\
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\textit{Lux Industries, Inc.}\\
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\texttt{[email protected]}
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}
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\date{2021}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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We present a comprehensive universal threshold signature framework supporting 20+ blockchains through unified cryptographic protocols with post-quantum security. Our system integrates four core protocols---CMP (ECDSA), FROST (Schnorr/EdDSA), LSS (dynamic resharing), and Doerner (2-party optimization)---with chain-specific adapters providing native support for XRPL, Ethereum, Bitcoin, Solana, Cardano, TON, and 14 additional networks. The framework achieves sub-25ms signing latency, 100\% test coverage, and Byzantine fault tolerance up to $t-1$ malicious parties. We introduce the LSS protocol for live membership changes without downtime, enabling practical deployment in production custody systems. Post-quantum security via Pulsar lattice-based signatures provides 128/192/256-bit security levels as quantum-resistant alternatives. Performance benchmarks demonstrate 12-82ms key generation and 8-40ms signing across threshold configurations from 3-of-5 to 10-of-15. The system is production-deployed securing billions in digital assets across enterprise custody solutions, DeFi protocols, and cross-chain bridges. This work represents over four years of continuous development (February 2021 - August 2025) with 800+ commits.
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\end{abstract}
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\input{sections/01-introduction}
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\input{sections/02-background}
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\input{sections/03-core-protocols}
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\input{sections/04-multi-chain-adapter-architecture}
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\input{sections/05-post-quantum-security}
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\input{sections/06-performance-evaluation}
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\input{sections/07-security-analysis}
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\input{sections/08-deployment-and-applications}
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\input{sections/09-comparison-with-alternatives}
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\input{sections/10-future-work}
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\input{sections/11-conclusion}
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\input{sections/99-acknowledgments}
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\end{document}
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