A research and practical article. Subject: a supported overview of PSBT practices, related BIPs, and wallet compatibility. Formulas are provided in LaTeX-compatible text format. Abstract. Partially Signed Bitcoin Transaction (PSBT) is a…
Read MoreThe basis of cryptographic and cryptanalytic analysis of seed, mnemonic and HD derivations Scientific and technical article for publication in WordPress · Version: September 2026 Annotation This article systematically examines…
Read MoreTaproot's basic signature scheme, relevant to nonce and MuSig2 analysis A scientific and technical article. WordPress version; formulas are presented in LaTeX-compatible text format. Annotation BIP-340 defines a strictly defined,…
Read MoreScientific and technical paper. Object of study: migrating artifacts of the MuSig2 interactive protocol to the Partially Signed Bitcoin Transaction (PSBT) format. Regulatory basis: BIP-373 ( Proposed status , June 4, 2024), BIP-327,…
Read MoreAbstract: BIP-327 defines an interoperable specification of MuSig2, an aggregated multisig scheme over secp256k1, in which multiple participants collaborate to produce a single regular BIP340 signature. The resulting signature is verified…
Read MoreA scientific and technical paper. Subject: PSBT v2 specification and differences from BIP-174. Original normative document: BIP-370, status Final , author Ava Chow, created January 14, 2021. Annotation BIP-370 defines PSBT version 2—a…
Read MoreAbstract. BIP-174 defines the PSBT—a binary container for an unsigned or partially signed Bitcoin transaction, containing information sufficient for autonomous signing and subsequent signature combining. This paper systematizes the primary specification…
Read MoreThis paper provides a deep analysis of the cryptographic properties of the secp256k1 elliptic curve used in the Bitcoin protocol. We examine in detail the theoretical foundations of supersingular curves, the Frobenius…
Read MoreAbstract. This paper examines the mathematical foundations of working with the X-only coordinate on Montgomery elliptic curves, including the Montgomery staircase and differential addition. Particular attention is given to the cryptanalysis…
Read More📌 Abstract: This paper examines the mathematical apparatus for extracting the square root modulo a prime number—the Tonelli–Shanks algorithm. It shows how the choice of a prime number p≡3(against4)For the curve secp256k1 (used…
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