/**
 * Internal utilities for YubiKey signing operations
 */
/**
 * Normalize s value to lower half of curve order (canonical form required by Ethereum)
 */
export declare function normalizeS(s: Uint8Array): Uint8Array;
/**
 * Recover the v value by trying both recovery IDs
 * @param hash The message hash that was signed
 * @param r The r component of the signature
 * @param s The s component of the signature (must be normalized)
 * @param expectedAddress The Ethereum address we expect to recover
 * @returns The recovery ID (0 or 1)
 */
export declare function recoverV(hash: Uint8Array, r: Uint8Array, s: Uint8Array, expectedAddress: `0x${string}`): number;
/**
 * Convert hex string to Uint8Array
 */
export declare function hexToUint8Array(hex: string): Uint8Array;
/**
 * Convert Uint8Array to hex string
 */
export declare function uint8ArrayToHex(bytes: Uint8Array): `0x${string}`;
/**
 * Ensure hex string has 0x prefix
 */
export declare function ensureHex(value: string): `0x${string}`;
/**
 * Remove 0x prefix from hex string
 */
export declare function stripHex(value: string): string;
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