Cubix Markonium

Problem Statement

Project Summary: Cubic Blockchain Protocol (CBP)A3D blockchainleveraging geometric determinism, zk-SNARKs, and quantum-resistant cryptography to solve the trilemma. Transactions are organized into growing cubes, with consensus, state management, and privacy anchored in spatial rules.1. Core ArchitectureCubic GeometryDigital Root Positioning:Each transaction’s hash is mapped to a3x3 facevia its digital root (1–9).Example:tx_hash → DR=5 → row=2, column=2.3D Layering:hash % 3determines layer (front=0, middle=1, back=2).Hierarchy:1x1x1(transaction) →3x3x3(block) →9x9x9(super-block).ConsensusModified HotStuff BFT:Leader Rotation: Stake-weighted validators propose super-blocks.Finalization: 2/3 votes on super-block validity (SNARKs + Verkle roots).Liveness: Parallel cube construction + pipelined voting.State & ValidationVerkle Trees:Sparse Merkle trees for global state (balances, identities).Stateless Clients: Verify updates with logarithmic proofs.zk-SNARKs:Circuit 1: Validate cubic positioning + digital root rules.Circuit 2: Batch-verify 729 transactions in a super-block.Tools: Halo2 + Circom for recursive proofs.2. CryptographyQuantum ResistanceMAYO Signatures:Key Sizes: 64–128 bytes (signatures), 1–10 KB (public keys).One-Time Keys: Derived from master seed + positional vectors.Deterministic Rotation:sk_i = HASH(S || HASH(X,Y,Z,x,y,z))(vector-bound keys).PrivacyStealth Addresses: Diffie-Hellman key exchange for receiver privacy.zk-SNARKs: Hide sender/receiver metadata in asset transfers.3. NetworkingPeer Discovery:Kademlia DHT: Find nodes by cube coordinates (e.g.,/ip4/.../cube/1,2,0).GossipSub: Broadcast partial cubes and proofs.Data Syncing:Request-Response: Fetch missing transactions by digital root.4. Staking & IncentivesValidation Tasks:Users stake tokens to propose/validate cubes.Matching Rule:digital_root(tx_id) == current_epoch % 9.Slashing:5% Penalty: For invalid proofs or double-signing.Rewards: Transaction fees + block rewards (in genesis token).5. CLI & User InteractionCommands# Create identity (MAYO keypair) cube-cli identity create --name alice # Send 100 tokens to Bob (with stake) cube-cli tx send --to bob --amount 100 --stake 10 # Connect to network cube-cli network join --bootstrap /ip4/192.168.1.1/tcp/5000 # Track a cube’s status cube-cli cube status --coordinates 2,1,0Genesis Block{ "timestamp": 1719391313, "meta": { "type": "genesis", "validators": ["0x9a8b...", "0xdef4..."], "stake_params": { "min_stake": 100, "slashing_rate": 0.05 }, "state": { "balances": { "0x9a8b...": 1000000 } } } }6. Trilemma Alignment|Aspect|Solution||-------------------|---------------------------------------------------||Scalability| Recursive SNARKs (1k TPS/cube) + parallel cubes. ||Security| Quantum-resistant MAYO + HotStuff BFT + slashing. ||Decentralization| Permissionless validation + stateless clients. |Tech StackConsensus: Rust-implemented HotStuff.zk-SNARKs: Circom (circuits) + Halo2 (recursion).Networking: libp2p (Rust/Go).Cryptography: Open Quantum Safe (MAYO, SPHINCS+).Next StepsTestnet: Deploy 3x3x3 cubes with mock validators.Optimize SNARKs: Custom Halo2 gates for digital roots.Audits: Formal verification of cubic positioning rules.CBPreimagines blockchain as a3D cryptographic fabric, where math and geometry enforce trust. 🎲🔗

Solution

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