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Guides

How to Design a Shielded Token Protocol

A technical guide for developers on architecting a token standard with built-in privacy for DeFi applications. Covers cryptographic primitives, smart contract design, and composability considerations.
Chainscore © 2026
introduction
ARCHITECTURE GUIDE

How to Design a Shielded Token Protocol

A technical guide to designing a privacy-preserving token system using zero-knowledge proofs, covering core components, cryptographic choices, and implementation considerations.

A shielded token protocol enables private transactions on a public blockchain by using zero-knowledge proofs (ZKPs) to conceal sender, receiver, and amount. The core design challenge is balancing privacy, scalability, and auditability. Key components include a commitment scheme to hide token balances, a nullifier system to prevent double-spending, and a Merkle tree to anonymously prove ownership of unspent funds. Popular implementations like Zcash's zk-SNARKs and Aztec's PLONK provide the cryptographic backbone, but the protocol architecture must be tailored to the specific use case, whether it's private payments, confidential DeFi, or compliant institutional transfers.

The first design decision is selecting a privacy model. A fully shielded model, like Zcash's Sapling circuit, hides all transaction metadata but requires more complex proofs. A partial privacy or hybrid model, such as Tornado Cash's fixed-amount pools, offers simpler user experience and lower gas costs by standardizing amounts. You must also define the trusted setup requirement: some ZK systems need a one-time ceremony (e.g., Groth16), while others are transparent and require no trust (e.g., STARKs, Halo2). This choice impacts decentralization assumptions and long-term security maintenance.

Implementing the state model is critical. Most protocols use an UTXO-based shielded pool where each private balance is a note committed to a Merkle tree. To spend, a user proves they know a note's secret without revealing which one, and publishes a nullifier derived from that secret to prevent reuse. The smart contract verifies the ZKP and updates the tree root. For efficiency on Ethereum, consider using a verification key stored on-chain and a relayer to pay gas fees for users, preserving anonymity. Libraries like circom and snarkjs can help compile ZK circuits and generate proofs in JavaScript.

Design must account for regulatory and user concerns. View keys allow selective disclosure for auditing or tax purposes, while memo fields can enable encrypted communication between parties. Consider the anonymity set—the size of the shielded pool—as a key metric for privacy strength; designs should incentivize liquidity to grow this set. Furthermore, integration with existing DeFi requires bridges or wrappers that can convert between public ERC-20 tokens and their shielded counterparts, adding another layer of complexity to the system's security model.

Finally, rigorous testing and formal verification are non-negotiable. ZK circuits are brittle; a bug can lead to loss of funds or broken privacy. Use frameworks like Noir for circuit development and audit the entire stack, from the elliptic curve library to the smart contract verifier. Launch with a bug bounty program and consider a phased rollout. The ongoing evolution of ZK hardware acceleration (like GPUs and ASICs) also means your protocol's proving time and cost will improve, so design with upgradability in mind for the verification logic.

prerequisites
PREREQUISITES AND CORE CONCEPTS

How to Design a Shielded Token Protocol

This guide covers the fundamental cryptographic primitives and architectural decisions required to build a privacy-preserving token system on a public blockchain.

A shielded token protocol enables private transactions on a public ledger. Unlike standard ERC-20 tokens where balances and transfers are transparent, shielded protocols use cryptographic proofs to conceal sender, recipient, and amount. The core design challenge is to maintain privacy while ensuring non-repudiation and regulatory compliance where required. This requires a careful selection of zero-knowledge proof systems, commitment schemes, and nullifier mechanisms to prevent double-spending without revealing transaction links.

The foundational cryptographic primitive is the zero-knowledge Succinct Non-interactive Argument of Knowledge (zk-SNARK). zk-SNARKs allow a prover to convince a verifier that a statement is true without revealing any information beyond the statement's validity. In a shielded protocol, this statement proves that a new transaction is valid—funds are available, the signature is correct, and a secret nullifier is generated—without exposing the underlying data. Popular implementations use the Groth16 or PLONK proving systems, each with different trade-offs in trusted setup requirements and proof size.

To manage private state, protocols use commitment schemes and nullifiers. A commitment, like a Pedersen hash, cryptographically binds a user's secret note (containing amount and owner) to the public ledger. To spend a note, the user must reveal a nullifier, a unique hash derived from the note's secret. The protocol checks this nullifier against a public set to prevent double-spending, but the nullifier itself does not reveal which note was spent. This creates a private ledger where asset ownership is proven via knowledge of secrets, not public addresses.

Designing the shielded pool architecture is critical. Will you use a single, unified pool for all assets (like Zcash's Sapling) or deploy separate shielding contracts per token (common in Ethereum-based implementations)? A unified pool simplifies cross-asset privacy but increases circuit complexity. A per-token model is more modular and easier to audit but fragments liquidity. The choice impacts gas costs, user experience, and the ability to support advanced features like private swaps or shielded DeFi interactions.

Finally, consider anonymity sets and regulatory compliance. The anonymity set is the group of transactions a user's action is indistinguishable from; larger pools provide stronger privacy. However, protocols may need to integrate view keys or selective disclosure mechanisms. These allow users to grant auditors or regulators read-only access to their transaction history, balancing privacy with necessary transparency for compliance with frameworks like the Travel Rule.

key-concepts
SHIELDED TOKEN DESIGN

Core Cryptographic Components

Shielded token protocols use advanced cryptography to enable private transactions. This section details the essential building blocks required for implementation.

06

Shielding & Unshielding Mechanisms

The protocol's public interfaces for converting between transparent (public) and shielded (private) token states.

  • Shielding: A public deposit function that mints a private note, recorded as a new leaf in the Merkle tree. Requires a ZKP.
  • Unshielding: A function to burn a private note and release tokens to a public address. Also requires a ZKP.
  • Fees: Must be handled carefully to avoid privacy leaks; often paid in the shielded pool itself or via a transparent "gas tank."
~200k
Zcash Shields/Month
system-architecture
SYSTEM ARCHITECTURE AND DATA FLOW

How to Design a Shielded Token Protocol

A shielded token protocol enables private transactions on a public blockchain. This guide outlines the core architectural components and data flow required to build one.

A shielded token protocol is a cryptographic system that allows users to transact tokens while hiding the sender, receiver, and amount from public view. Unlike standard ERC-20 transfers, which are fully transparent on-chain, shielded protocols use zero-knowledge proofs (ZKPs) to validate transactions without revealing their details. The primary architectural goal is to separate the state transition logic (proving a valid transfer) from the public ledger (recording only a proof and commitments). Core components include a shielded pool, a proving circuit, and a verifier contract.

The system's data flow begins when a user creates a shielded transaction. This involves generating new secret commitments to the token amount and recipient, while nullifying old commitments to prevent double-spending. The user then constructs a zero-knowledge proof (e.g., using Groth16 or PLONK) with a circuit that enforces rules: input commitments sum to output commitments, a valid nullifier is revealed, and the user possesses the necessary spending keys. This proof is submitted to a smart contract verifier alongside public signals like the nullifier and new commitments.

The verifier contract is a critical on-chain component. It does not see transaction details but uses elliptic curve pairing to check the proof's validity against a trusted setup's verification key. If valid, it updates the protocol's state: it records the revealed nullifier to prevent its future use and adds the new commitments to the shielded pool, a Merkle tree representing all unspent commitments. This design ensures the pool's state root can be updated with a single hash, minimizing on-chain gas costs. Users can later reference these new commitments as inputs for future shielded transactions.

Managing the shielded pool's Merkle tree off-chain is essential for efficiency. Clients (wallets) typically maintain a local copy or query a service to get the latest root and generate Merkle proofs for their commitments. When designing the circuit, you must include constraints for Merkle path verification. For scalability, protocols like Tornado Cash use fixed denominations, while more complex ones like zk.money (Aztec) support variable amounts, requiring range proofs within the circuit to ensure amounts are non-negative and don't overflow.

Key design considerations include trusted setup requirements, withdrawal security, and regulatory compliance. The initial parameter generation (trusted setup) is a systemic risk if compromised. To allow users to recover funds, most protocols implement an escape hatch or allowlist mechanism permitting withdrawals without a proof after a long timelock. Furthermore, designers may integrate viewing keys or selective disclosure tools to allow auditors to view transaction details, balancing privacy with necessary transparency for certain use cases.

step-1-note-commitment
CORE DATA STRUCTURE

Step 1: Designing the Note and Commitment Scheme

The foundation of any shielded token protocol is its private data structure, the note, and the public cryptographic commitment that proves its existence without revealing its contents.

A note is the fundamental unit of private state in a shielded token system. It represents a token amount owned by a specific user, but its details are encrypted. A typical note structure includes: the token amount, the owner's shielded address (a public key), a unique nullifier (to prevent double-spends), and a random secret for commitment generation. This data is stored locally by the user and is never published to the blockchain in plaintext.

To record a note on-chain without exposing its data, we generate a cryptographic commitment. This is done by hashing all the note's components together using a collision-resistant hash function like Poseidon or Pedersen hash, which are efficient in zk-SNARK circuits. The resulting commitment, commitment = Hash(amount, owner_pk, nullifier, rho), is published to a public Merkle tree on the blockchain. This proves the note's existence cryptographically while keeping all its constituent data private.

The nullifier is a critical component for preventing double-spends. It is derived from the note's secret data and is designed to be unique and unpredictable. When a user later wants to spend a note, they will reveal the nullifier (not the note itself) to the blockchain. The protocol checks this against a spent-set; if it's already present, the transaction is rejected. This mechanism ensures each commitment can only be spent once, mirroring the function of a UTXO's outpoint in a transparent system.

Here is a simplified representation of the data flow and structure in Solidity and pseudocode:

solidity
// Note structure (held privately by user)
struct Note {
    uint256 amount;
    address owner; // Or a public key for full privacy
    uint256 nullifier;
    uint256 rho; // Randomness
}

// On-chain, we store only the commitment in a Merkle tree
function computeCommitment(Note memory note) public pure returns (uint256) {
    // Use a zk-friendly hash function like Poseidon
    return poseidonHash([note.amount, note.owner, note.nullifier, note.rho]);
}

The commitment is inserted into an incremental Merkle tree (like those in Tornado Cash or Aztec), allowing users to later prove membership of their note in the current state tree.

Design choices here have major implications. Using a zk-friendly hash function is non-negotiable for proving circuit efficiency. The choice between representing the owner as an Ethereum address versus a stealth public key determines the level of privacy. Furthermore, the mechanism for generating the nullifier (e.g., nullifier = Hash(secret, rho)) must ensure it cannot be linked back to the original commitment by observers, a property known as unlinkability.

step-2-merkle-tree
CORE DATA STRUCTURE

Step 2: Implementing the Note Commitment Tree

The note commitment tree is the cryptographic accumulator that anchors the privacy of your shielded protocol. It's a Merkle tree where each leaf is a commitment to a private note, enabling users to prove ownership without revealing the note's details.

A note commitment is a cryptographic hash that binds together the essential components of a private transaction note: the value, the owner's public key (or stealth address), and a unique nullifier seed. When a user creates a shielded note, they compute commitment = H(value, owner_pk, nullifier_seed, r) where r is a random blinding factor. This commitment is then inserted as a leaf into the Merkle tree. The tree's root, published on-chain, becomes a succinct public commitment to the entire set of unspent notes, without revealing any of them.

For implementation, you need a deterministic, incremental Merkle tree. Popular choices are sparse Merkle trees (SMTs) or Pedersen hash-based trees like those used in Zcash. An SMT with a 256-bit depth can hold up to 2^256 notes, providing a practically infinite set. Each insertion updates the root. The critical property is that a user can generate a Merkle proof—a path of sibling hashes from their leaf to the root—to prove their note's inclusion in the current state, which is required for spending.

Store the tree off-chain in a database (e.g., using a key-value store to map positions to hashes) and periodically submit the updated root to your smart contract. The contract only needs to store the current root. When a user wants to spend a note, their zero-knowledge proof must demonstrate knowledge of a valid Merkle path for their commitment relative to the publicly known root. This is typically expressed as a circuit constraint in your ZK-SNARK system, such as MerklePathVerify(root, commitment, path).

Handling nullifiers is intrinsically linked to the tree. The nullifier is derived from the private nullifier seed and is published on-chain when the note is spent, preventing double-spends. Your contract must maintain a spent nullifier set. Crucially, the ZK proof must cryptographically link the spent commitment to the published nullifier without revealing the link, ensuring that only the note's owner can generate its unique nullifier for spending.

For developers, libraries like circomlib's MerkleTree circuit templates or snarkjs utilities can help implement the proof generation. When designing the circuit, optimize the tree depth; a depth of 32 is common, supporting over 4 billion notes. Remember, the security of the entire system rests on the collision-resistance of the commitment hash function and the soundness of the Merkle proof verification within the ZK circuit.

step-3-nullifier-scheme
DOUBLE-SPEND PREVENTION

Step 3: Creating the Nullifier Scheme

A nullifier scheme is the mechanism that prevents the same shielded note from being spent twice, ensuring the integrity of the token supply.

The nullifier is a unique cryptographic proof generated when a user spends a shielded note. Its primary function is to act as a public, on-chain record that a specific note has been consumed. Once a nullifier is published to the blockchain, any subsequent transaction attempting to spend the same note will be rejected because its nullifier will match the existing one. This is the core mechanism for preventing double-spending in a privacy-preserving system where the note's details are hidden.

To create a nullifier, the spender must cryptographically derive it from the note's secret data without revealing that data. A common construction uses a hash function like Poseidon or SHA-256. The formula is typically nullifier = hash(nullifier_secret, commitment_index). The nullifier_secret is a private key known only to the note's owner, and the commitment_index is a public identifier linking to the note's original commitment on-chain. This ensures each nullifier is deterministic and unique to a specific note.

The smart contract must maintain a nullifier set, a mapping or Merkle tree that stores all published nullifiers. Before accepting a new transaction's zero-knowledge proof, the contract verifies that the submitted nullifier is not already in this set. This check is a simple, gas-efficient lookup. For example, in a Solidity contract, this is often implemented as a mapping: mapping(uint256 => bool) public spentNullifiers;. The proof verification will fail if spentNullifiers[nullifier] returns true.

Design considerations are critical for security and scalability. The nullifier must be non-malleable, meaning an adversary cannot compute a different valid nullifier for the same note. Using a secure hash function with the owner's private key as input achieves this. Furthermore, the nullifier set grows indefinitely with transaction volume. Projects like Aztec and Tornado Cash use incremental Merkle trees or similar data structures to manage this state efficiently while keeping verification costs low.

In practice, the nullifier scheme is embedded within the circuit logic of the zero-knowledge proof. The proving system (e.g., Circom, Halo2) includes constraints that enforce the correct computation of the nullifier from the private inputs. The verifier contract then checks both the ZK proof's validity and the nullifier's uniqueness. This dual check ensures that only the legitimate owner can generate a valid spend transaction and that each note's value is transferred exactly once, preserving both privacy and the system's economic security.

step-4-zk-circuit
CORE PROTOCOL LOGIC

Step 4: Building the Zero-Knowledge Circuit

This step defines the private business logic of your shielded token protocol using a zk-SNARK circuit. The circuit is a program that proves a transaction is valid without revealing its details.

A zk-SNARK circuit is a set of constraints that define valid state transitions for your protocol. For a shielded token, the core constraints verify that: a new commitment is correctly formed from a secret note, the transaction doesn't create tokens out of thin air (conservation of value), and the spender knows a valid nullifier for an old note. You write this logic in a domain-specific language like Circom or Noir. The circuit's public inputs are the new commitments and nullifiers posted on-chain; its private inputs are the secret note data and spending keys.

A typical circuit has three main components. First, the note commitment is computed by hashing the note's components: commitment = PoseidonHash(amount, secret, nullifier_seed). Second, the nullifier is generated to prevent double-spends: nullifier = PoseidonHash(nullifier_seed, secret). The circuit must prove the prover knows the nullifier_seed and secret that correspond to a spent commitment. Third, the value balance is enforced: sum(input_amounts) = sum(output_amounts). This ensures no tokens are minted or burned illegitimately within the shielded pool.

Here is a simplified Circom template for the core logic. This circuit, ShieldedTransfer, takes private note data and public commitments/nulls as signals.

circom
template ShieldedTransfer() {
    // Private Inputs (known only to prover)
    signal input amountIn;
    signal input secretIn;
    signal input nullifierSeedIn;
    signal input amountOut;
    signal input secretOut;

    // Public Inputs (published on-chain)
    signal output commitmentOut;
    signal output nullifier;

    // Compute the new output commitment
    component hashOut = Poseidon(3);
    hashOut.inputs[0] <== amountOut;
    hashOut.inputs[1] <== secretOut;
    hashOut.inputs[2] <== nullifierSeedIn;
    commitmentOut <== hashOut.out;

    // Compute the nullifier for the spent input
    component hashNull = Poseidon(2);
    hashNull.inputs[0] <== nullifierSeedIn;
    hashNull.inputs[1] <== secretIn;
    nullifier <== hashNull.out;

    // Enforce conservation of value
    amountIn === amountOut;
}

The === operator creates a constraint; the proof is only valid if the equation holds.

After writing the circuit, you must compile it into an R1CS (Rank-1 Constraint System) and generate proving/verification keys. Using circom, you would run circom shielded_transfer.circom --r1cs --wasm to produce the constraint system and a witness generator. Then, a trusted setup ceremony (or a transparent one using zk-STARKs or PLONK) is performed to create a proving key and verification key. The proving key is used to generate proofs locally, while the verification key is embedded into your on-chain smart contract to validate proofs.

The final step is integrating the circuit with your application. A user's client (like a wallet) will use the proving key to generate a zk-SNARK proof for their private transaction. This proof, along with the public outputs (commitmentOut, nullifier), is sent to your verifier contract. The contract checks the proof against the verification key. If valid, it records the new commitment and nullifier on-chain, updating the protocol's state without revealing amountOut or secretOut. This completes the trustless, private transfer loop.

step-5-smart-contract
IMPLEMENTATION

Step 5: Writing the Core Smart Contract

This section details the Solidity implementation of a basic shielded token protocol, focusing on the core contract that manages private balances and transfers using zero-knowledge proofs.

The core smart contract, which we'll call ShieldedERC20, must manage two parallel systems: public ERC-20 balances and private shielded commitments. We inherit from a standard ERC-20 contract for the public ledger. For the private system, we need storage for commitments (hashes representing private balances) and nullifiers (hashes spent to prevent double-spending). The contract's primary functions will be deposit, transfer, and withdraw, each requiring a zk-SNARK proof for private operations to verify state transitions without revealing underlying data.

A critical design choice is the commitment scheme. When a user creates a private note, they generate a secret nullifier and a viewing key. The commitment is typically hash(amount, nullifier, viewingKey). This hash is stored on-chain. To spend the note later, the user provides a zk-SNARK proof that they know the pre-image of a stored commitment, and the contract records the spent nullifier to prevent reuse. We use a Merkle tree to efficiently store and prove membership of these commitments, with the root stored in the contract state.

Here is a simplified skeleton of the contract's state and deposit function:

solidity
contract ShieldedERC20 is ERC20 {
    mapping(uint256 => bool) public spentNullifiers;
    uint256 public commitmentRoot;

    function deposit(uint256 _amount, bytes32 _commitment) external {
        _burn(msg.sender, _amount); // Burn public tokens
        // In a real system, insert _commitment into a Merkle tree
        // and update commitmentRoot
        emit Deposit(_commitment, _amount);
    }
}

The deposit function burns public tokens and records the new private commitment. The actual cryptographic logic for verifying the Merkle proof happens off-chain; the on-chain contract only checks the validity of the submitted zk-SNARK proof.

The private transfer function is the most complex. It takes as input a zk-SNARK proof, two output commitments (for the recipient and any change), and input nullifiers. The proof verifies that: the input nullifiers correspond to existing commitments, the total input amount equals the total output amount, the sender knows the secrets, and the nullifiers haven't been spent. Upon verification, the contract marks the input nullifiers as spent and updates the commitment Merkle root with the new outputs. This ensures complete privacy while maintaining auditability of the supply.

Finally, the withdraw function allows moving funds from the shielded pool back to the public balance. It requires a proof that destroys a private commitment and reveals the intended public recipient and amount. The contract then mints the corresponding ERC-20 tokens to the recipient. It's crucial to include a withdrawal limit or time delay in a production system to mitigate potential anonymity-breaking attacks, such as a malicious validator front-running withdrawals to link transactions.

Security considerations are paramount. The contract must use a trusted setup for its zk-SNARK circuit, and the verifying key must be hardcoded or securely administered. All proof verification must be done in a single call using a precompiled contract like bn256Pairing on Ethereum. Thorough testing with tools like Foundry and hardhat is essential, focusing on edge cases in the Merkle tree logic, nullifier handling, and reentrancy in the public ERC-20 functions.

CORE CONSIDERATIONS

Shielded Protocol Design Trade-offs

Key architectural decisions and their impact on privacy, scalability, and usability.

Feature / MetricZK-SNARKs (e.g., Zcash Sapling)ZK-STARKs (e.g., StarkEx)Merkle Tree Accumulators (e.g., Tornado Cash)

Privacy Model

Full shielded transactions

Full shielded transactions

Anonymity set mixing

Trusted Setup Required

Proof Generation Time

~30-45 seconds (CPU)

~0.1-0.5 seconds (CPU/GPU)

< 1 second

Proof Verification Gas Cost

~450k gas (Groth16)

~2.5M gas

~200k gas

On-Chain Data per TX

~288 bytes (proof + ciphertexts)

~45 kB (FRI proofs)

~0 bytes (deposit/withdraw only)

Scalability Limit

Limited by circuit size

High (recursive proofs)

Limited by anonymity set size

Developer Tooling Maturity

High (circom, bellman)

Medium (Cairo)

Low (custom circuits)

Quantum Resistance

No (elliptic curves)

Yes (hash-based)

No (Merkle paths)

composability-auditability
PRIVACY AND COMPLIANCE

How to Design a Shielded Token Protocol

A technical guide to building privacy-preserving tokens that maintain DeFi composability and enable regulatory auditability.

A shielded token protocol enables private transactions on a public blockchain. Unlike fully anonymous coins, these protocols are designed with auditability in mind, allowing designated parties to view transaction details under specific conditions. The core challenge is balancing user privacy with the needs of DeFi composability and regulatory compliance. This guide outlines the architectural decisions for building such a system, focusing on zero-knowledge proofs and selective disclosure mechanisms.

The foundation is a commitment scheme, where a user's token balance is represented by a cryptographic commitment (like a Pedersen commitment) on-chain. To transfer funds, a user generates a zero-knowledge proof (ZKP)—often using zk-SNARKs or Bulletproofs—that proves: the input commitments sum to the output commitments, no new tokens were created, and the user possesses the secret keys for the inputs. The proof is verified on-chain, updating the ledger's state without revealing amounts or addresses.

For DeFi composability, shielded tokens must interact with smart contracts. This requires designing a viewing key system. A user can generate a viewing key that allows a specific smart contract (like a lending pool) to decrypt and verify their balance and transaction history, enabling functions like collateralization checks. The protocol must standardize an interface, such as an IVerifiableToken contract, that DApps can query with a provided viewing key proof.

Auditability is enabled through selective disclosure. Implement an auditor role controlled by a multi-signature wallet or DAO. The protocol can include a function, revealTransaction(bytes32 proofNullifier, bytes encryptedData), that allows a user to voluntarily disclose transaction details to the auditor by providing a decryption key. Alternatively, the protocol can be designed with a compliance module that freezes assets or mandates disclosure based on an on-chain governance vote or oracle attestation.

Key design considerations include the choice of ZK circuit and trusted setup. Groth16 zk-SNARKs offer small proof sizes and fast verification but require a trusted ceremony. PLONK or Halo2 can offer universal trusted setups. For on-chain efficiency, store only the cryptographic commitments and proof verifiers; keep the proof generation off-chain. Use a Merkle tree to efficiently manage the set of unspent commitments (UTXO model) or a balance model with randomized commitments.

In practice, reference implementations like Aztec Connect (now Aztec) and Zether provide blueprints. When deploying, thoroughly audit the ZK circuits and smart contracts. Document the privacy guarantees and disclosure mechanisms clearly for users. A well-designed shielded token protocol doesn't just hide data; it creates a verifiable system of privacy that can interoperate with public DeFi and meet necessary oversight requirements.

SHIELDED TOKEN PROTOCOLS

Frequently Asked Questions

Common technical questions and troubleshooting for developers building privacy-preserving token systems using zero-knowledge proofs.

A shielded token protocol is a privacy-enhancing system for blockchain assets that uses zero-knowledge proofs (ZKPs) to conceal transaction details. It allows users to transact tokens without publicly revealing the sender, recipient, or amount on-chain.

Core components typically include:

  • Shielded Pools: Smart contracts that hold encrypted token balances (notes).
  • Commitments: Hashed representations of notes added to a Merkle tree.
  • Nullifiers: Unique identifiers that prevent double-spending of spent notes.
  • Zero-Knowledge Proofs: Cryptographic proofs (like zk-SNARKs) that validate a transaction is correct without revealing its inputs.

A user initiates a private transfer by creating a ZK proof that they own unspent notes in the pool's Merkle tree, destroying those notes (via nullifiers), and creating new encrypted notes for the recipient. The proof is verified on-chain, updating the pool's state.