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papers/lp-222-p3q-magnetar/lp-222-p3q-magnetar.tex
zeekay c77b2cf672 papers: decomplect P3Q family — framework + one LP per kind
Split the combined LP-220 (P3Q Corona + Magnetar) into one paper per concern:
- LP-219 P3Q framework (slot 0x012205, kind-byte dispatch, P3QVerifier, composition)
- LP-223 Pulsar (kind 0x01, rank-k Module-LWE / FIPS-204 ML-DSA-65)
- LP-220 Corona (kind 0x02, Ring-LWE / two-round Corona)
- LP-222 Magnetar (kind 0x03, hash-based / FIPS-205 SLH-DSA-192f)
Each kind paper is lean and references LP-219; cross-kind refs became LP
citations. Corona keeps the academic Corona citation as its basis.
2026-06-10 23:20:52 -07:00

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\title{P3Q Magnetar Kind:\\
Hash-Based Threshold Verify on the Unified Precompile Slot}
\author{Lux Industries, Inc. \\
\texttt{[email protected]}}
\date{2026-06-03}
\begin{document}
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\begin{abstract}
LP-218 introduces P3Q at EVM slot \texttt{0x012205} as the
PQ-verifier family for rollup-batch authentication, specifying the
unified kind-byte dispatch ABI and the first verifier
kind~$0x01$ (Pulsar / FIPS-204 ML-DSA-65 threshold). This paper specifies \emph{kind $0x03$ Magnetar}: a hash-based
threshold verifier over FIPS-205 SLH-DSA. The shared P3Q framework
--- the unified slot, the kind-byte dispatch ABI, and the
\texttt{P3QVerifier} registration interface --- is specified in
LP-219; this paper gives Magnetar's wire layout, its gas
calibration (\SI{30000}{gas}), and the production parameter-set
lock at SLH-DSA-192f after the 2026-06-04 Quasar 4-scheme matrix
bench measured 192s at \SI{795}{ms}/sign vs 192f at
\SI{36}{ms}/sign on Spark (a $22\times$ reduction that restores
the sub-\SI{1}{s} round budget). Magnetar reduces to the collision
resistance of the SHA-2 / SHA-3 family, independent of the lattice
assumptions underlying Pulsar (LP-223) and Corona (LP-220), and is
the cross-family backstop of the LP-217 PQ-heavy posture. GPU
dispatch is projected, not measured; the on-chain path reserves
Magnetar's dispatch entry and returns \texttt{abiFalse} via
\texttt{ErrKindNotImplemented} until its threshold library lands.
\end{abstract}
\tableofcontents
\newpage
\input{sections/01-introduction}
\input{sections/05-magnetar-kind}
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