Files
papers/lp-checkpoint-anchor/lp-checkpoint-anchor.tex
zeekay dd93cb41f7 papers: cover-consistency + build pass on Lux Tier-2/3 catalogue
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/.
2026-05-13 01:27:59 -07:00

75 lines
2.2 KiB
TeX

\documentclass[11pt,a4paper]{article}
\usepackage{../shared/luxcover}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amssymb,amsfonts,amsthm}
\usepackage{graphicx}
\usepackage{hyperref}
\usepackage{booktabs}
\usepackage{algorithm}
\usepackage{algpseudocode}
\usepackage{enumitem}
\usepackage{xcolor}
\usepackage{listings}
\hypersetup{colorlinks=true,linkcolor=black,citecolor=blue,urlcolor=blue}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{definition}{Definition}[section]
\newtheorem{remark}{Remark}[section]
\lstset{
basicstyle=\ttfamily\small,
breaklines=true,
frame=single,
numbers=left,
numberstyle=\tiny,
language=Go
}
\title{LP-Anchor: On-Chain Checkpoint Anchoring\\for CRDT State Durability}
\author{
Zach Kelling\thanks{Corresponding author: [email protected]}\\
\textit{Lux Industries, Inc.}\\
\texttt{[email protected]}
}
\date{February 2026}
\begin{document}
\luxcoverpage
\begin{abstract}
We describe a mechanism for anchoring CRDT document state to a Lux chain
so that clients hold cryptographic proof that a given Merkle root existed at
a given logical height. The anchor precompile accepts a 72-byte payload
(32-byte app ID, 8-byte height, 32-byte root) and stores it in EVM state
at approximately 25,400 gas on C-Chain or near-zero cost on Q-Chain via
Quasar DAG parallelism. Users verify anchors by querying the chain and
recomputing their local Merkle root. A rollup-style batching mode amortizes
cost across 1,000 anchors per on-chain transaction. The design is
implemented as a stateful EVM precompile at address \texttt{0x0700\ldots10}
in the Lux precompile registry (Privacy/Encryption page, item 0x10).
\end{abstract}
\tableofcontents
% ============================================================================
\input{sections/01-problem-statement}
\input{sections/02-architecture}
\input{sections/03-why-q-chain}
\input{sections/04-anchor-transaction-format}
\input{sections/05-verification-path}
\input{sections/06-adversary-model}
\input{sections/07-cost-analysis}
\input{sections/08-batched-anchoring}
\input{sections/09-implementation}
\input{sections/10-comparison-with-prior-art}
\input{sections/99-conclusion}
\end{document}