FragMint Blockchain

Block-Matrix Architecture Performance

350k

Blocks/Sec on a single CPU

<200ms

Finality Time

0

Merkle Trees

4D

Tensor Structure

Quad-Proof Consensus System

SpaceProof

pub struct SpaceProof {
    total_storage: u64,
    storage_path: String,
    proof_timestamp: SystemTime,
}

TimeProof

pub struct TimeProof {
    network_time_offset: Duration,
    time_verification_timestamp: SystemTime,
    nonce: u64,
    proof_hash: Vec,
}

WorkProof

pub struct WorkProof {
    computational_power: u64,
    work_challenges: Vec<String>,
    proof_timestamp: SystemTime,
}

StakeProof

fn validate_stake(&self) -> bool {
    self.stake_proofs.iter()
        .map(|p| p.stake_amount)
        .sum::() >= 5000
}

Encryption Pipeline

Multi-Layer Encryption

// Kyber Key Encapsulation for Asset Validation across the network
let (ciphertext, shared_secret) = encapsulate(&self.kyber_keypair.public, &mut OsRng).unwrap();

// SPHINCS+ Signature for Validation of Consensus Proofs across nodes
let signature = sign(&encrypted_data, &self.sphincs_keypair.1);

// AES-GCM-SIV Encryption for Data Integrity across asset records
let cipher = Aes256GcmSiv::new_from_slice(&self.aes_key).unwrap();
let encrypted_data = cipher.encrypt(nonce, brotli_compressed.as_ref()).unwrap();

Blockchain Structure

Asset Records

The blockchain maintains records of assets, including their ownership and transfer history.

Token Operations

The blockchain supports token operations, allowing for the creation, transfer, and management of digital assets.

Network State

The blockchain maintains the state domain specific federated networks, including configuration and consensus mechanisms for each network, to ensure security and interoperability across the network.

Compression Architecture

Multi-Stage Compression

// Primary zstd compression for local storage
let zstd_compressed = zstd::encode_all(data, 22).unwrap();

// Secondary Brotli compression for network transfer with encryption layer for hash-based proofs
let mut brotli_compressed = Vec::new();
brotli::BrotliCompress(&mut zstd_cursor, 
    &mut brotli_compressed, 
    &brotli_encoder_params);

Tensor State Integrity

Theorem 1: Block-Matrix Consistency

For tensor-mesh block matrix \( M \in \mathbb{R}^{n \times n \times k} \): \[ T(M_s) = M_s' \quad \text{where} \quad \det(M_s) = \det(M_s') \]

Security Proofs

Theorem 2: Tensor Efficiency

\[ C = \prod_{i=1}^{n} d_i \quad \text{(Contraction cost)} \] Where \(d_i\) = Dimension size

Theorem 3: Quantum Resistance

\[ P(A) \leq 2^{-n} \quad \text{where } n = \text{security parameter} \]

Theorem 4: Block-Matrix Performance

\[ \text{blocks/sec} = \frac{N_c \cdot T_p}{L_t + C_v} \] \(N_c\) = Network cores, \(T_p\) = Tensor ops, \(L_t\) = Latency

Security Theorems

Theorem 5: Tensor Efficiency

\[ O(N^d) \rightarrow O(N + d) \]

Reduction from exponential to linear complexity

Theorem 6: Quantum Resistance

\[ P(A) \leq 2^{-n} \]

n = 51-bit security parameter

Theorem 7: State Integrity

\[ P(\text{undetected}) \leq \prod \frac{1}{d_i} \cdot C \]

Collision resistance factor C < 10⁻¹⁸