A zero-knowledge proof demonstrating that a committed value falls within a specified range (e.g., 0 to 2^64) without revealing the value itself. Essential for confidential transactions to prove that transfer amounts are non-negative and don't exceed the sender's balance, preventing hidden inflation or underflow attacks.
Empieza por la explicación más corta y útil antes de profundizar.
A zero-knowledge proof demonstrating that a committed value falls within a specified range (e.g., 0 to 2^64) without revealing the value itself. Essential for confidential transactions to prove that transfer amounts are non-negative and don't exceed the sender's balance, preventing hidden inflation or underflow attacks.
Usa primero la analogía corta para razonar mejor sobre el término cuando aparezca en código, docs o prompts.
Piensa en esto como un bloque de construcción que conecta una definición aislada con el sistema mayor donde vive.
Ubica el término dentro de la capa de Solana en la que vive para razonar mejor sobre él.
Estado comprimido, pruebas y patrones de almacenamiento orientados a escala.
Convierte el término de vocabulario en algo operacional para producto e ingeniería.
Este término desbloquea conceptos adyacentes rápido, así que funciona mejor cuando lo tratas como un punto de conexión y no como una definición aislada.
Usa este bloque compacto cuando quieras dar contexto sólido a un agente o asistente sin volcar toda la página.
Range Proof (range-proof) Categoría: Compresión ZK Definición: A zero-knowledge proof demonstrating that a committed value falls within a specified range (e.g., 0 to 2^64) without revealing the value itself. Essential for confidential transactions to prove that transfer amounts are non-negative and don't exceed the sender's balance, preventing hidden inflation or underflow attacks. Relacionados: Bulletproofs, Zero-Knowledge Proofs (ZKP), Transferencias Confidenciales
Usa contexto del glosario, relaciones entre términos, modelos mentales y builder paths para recibir respuestas estructuradas en vez de output genérico.
Opcional: pega código Anchor, Solana o Rust para que el Copilot mapee primitivas de vuelta al glosario.
El Copilot responderá usando el término actual, conceptos relacionados, modelos mentales y el grafo alrededor del glosario.
Estas ramas muestran qué conceptos toca este término directamente y qué existe una capa más allá de ellos.
A zero-knowledge proof system that produces short, non-interactive proofs without a trusted setup. Bulletproofs are particularly efficient for range proofs — proving a committed value lies within a range without revealing it. Used in confidential transaction systems to prove token amounts are non-negative without disclosing exact values.
A zero-knowledge proof is a cryptographic protocol by which a prover convinces a verifier that a statement is true — for example, that a state transition is valid — without revealing any information beyond the truth of the statement itself, satisfying the properties of completeness, soundness, and zero-knowledge. In Solana's ecosystem, ZKPs are used by ZK Compression (via Groth16 SNARKs) to prove correct state transitions for compressed accounts without storing full account state on-chain, and by the Token-2022 Confidential Transfers extension (via ElGamal encryption and range proofs) to prove token balances are non-negative without revealing the actual amounts. Solana's BPF VM exposes the alt_bn128 elliptic curve syscall to make on-chain Groth16 proof verification computationally feasible within the 1.4M compute unit budget.
A Token-2022 extension that uses zero-knowledge proofs (Twisted ElGamal encryption over Ristretto255) to hide transfer amounts while keeping the token mint and accounts public. Balances are stored in encrypted form with separate 'pending' and 'available' pools. The account owner can decrypt their balance but others cannot see amounts.
Estos son los siguientes conceptos que vale la pena abrir si quieres que este término tenga más sentido dentro de un workflow real de Solana.
Estas entradas son fáciles de mezclar cuando lees rápido, haces prompting a un LLM o estás entrando en una nueva capa de Solana.
A Merkle proof is the minimal set of sibling node hashes (the proof path) along the branch from a specific leaf to the tree root, allowing anyone to independently verify that a given leaf is part of a Merkle tree by recomputing the root from the leaf hash and the sibling hashes without needing any other tree data. In Solana's state compression, every compressed account or compressed NFT interaction requires the caller to supply a valid Merkle proof; the on-chain program hashes the proof against the current root stored in the Concurrent Merkle Tree account to confirm inclusion before executing the state change. Proof size scales linearly with tree depth (e.g., a depth-20 tree requires up to 20 sibling hashes, each 32 bytes), so the canopy is used to pre-store upper-level nodes on-chain to reduce the proof data that must be passed in transactions.
Technique of combining multiple zero-knowledge proofs into a single, compact proof that can be verified more efficiently than verifying each proof individually. Reduces on-chain verification costs by batching proofs. Used in ZK compression systems to batch-verify multiple state transitions in a single verification step on Solana.
A proof path is the ordered sequence of sibling node hashes that constitute a Merkle proof, tracing a route from a specific leaf node up to the tree root by providing the hash of each sibling at every level of the tree. In Solana's compressed account and compressed NFT transactions, the proof path is passed as a list of additional accounts (each account holding a 32-byte hash) in the instruction's account metas, since proof nodes exceed what can fit in instruction data alone for deep trees. The length of the proof path equals tree_depth minus canopy_depth, so indexers like Photon pre-compute and serve proof paths to clients, which can then submit them directly to on-chain programs for verification.
Las entradas del glosario se vuelven útiles cuando están conectadas. Estos enlaces son el camino más corto hacia ideas adyacentes.
A zero-knowledge proof system that produces short, non-interactive proofs without a trusted setup. Bulletproofs are particularly efficient for range proofs — proving a committed value lies within a range without revealing it. Used in confidential transaction systems to prove token amounts are non-negative without disclosing exact values.
A zero-knowledge proof is a cryptographic protocol by which a prover convinces a verifier that a statement is true — for example, that a state transition is valid — without revealing any information beyond the truth of the statement itself, satisfying the properties of completeness, soundness, and zero-knowledge. In Solana's ecosystem, ZKPs are used by ZK Compression (via Groth16 SNARKs) to prove correct state transitions for compressed accounts without storing full account state on-chain, and by the Token-2022 Confidential Transfers extension (via ElGamal encryption and range proofs) to prove token balances are non-negative without revealing the actual amounts. Solana's BPF VM exposes the alt_bn128 elliptic curve syscall to make on-chain Groth16 proof verification computationally feasible within the 1.4M compute unit budget.
A Token-2022 extension that uses zero-knowledge proofs (Twisted ElGamal encryption over Ristretto255) to hide transfer amounts while keeping the token mint and accounts public. Balances are stored in encrypted form with separate 'pending' and 'available' pools. The account owner can decrypt their balance but others cannot see amounts.
Estas entradas viven junto al término actual y ayudan a que la página se sienta parte de un grafo de conocimiento más amplio en lugar de un callejón sin salida.
State Compression is Solana's technique for storing the cryptographic fingerprint (root hash) of a Merkle tree on-chain while keeping the actual leaf data off-chain in the Solana ledger's account data logs, reducing the cost of storing large datasets by orders of magnitude. A compressed NFT collection of 1 million items costs roughly 50 SOL to mint versus ~12,000 SOL with standard SPL accounts, because only a single Concurrent Merkle Tree account occupies on-chain storage. Any data change requires updating the root hash and supplying a Merkle proof to the on-chain program, which verifies inclusion without reading the full dataset.
ZK Compression, pioneered by Light Protocol, extends Solana's state compression model beyond NFTs to general-purpose compressed accounts by using zero-knowledge proofs (specifically Groth16 SNARKs verified via the alt_bn128 syscall) to prove the validity of state transitions without storing full account state on-chain. Compressed accounts live in on-chain Merkle trees but their data is reconstructed from the Solana ledger by indexers like Photon, enabling developers to build applications that use thousands of accounts at a fraction of the normal rent cost — often 1,000x to 5,000x cheaper than regular accounts. The protocol introduces compressed tokens, compressed PDAs, and a system of nullifiers to prevent double-spends while maintaining Solana's throughput.
A compressed account is a Solana account whose state is stored as a leaf in an on-chain Concurrent Merkle Tree rather than as a dedicated on-chain account, making it 100–1,000x cheaper to create and maintain because no rent-exempt lamport balance is required per account. Compressed accounts are identified by a hash of their data and position in the tree; to interact with one, a client must supply a Merkle proof (or rely on the canopy) showing the leaf is part of the current tree root, which the on-chain program verifies before processing the state change. Light Protocol's compressed account model supports arbitrary data, discriminators, and owner programs, making it a general-purpose replacement for expensive on-chain accounts in high-volume use cases.
A Concurrent Merkle Tree (CMT) is a specialized on-chain Solana data structure that allows multiple state updates to the same Merkle tree within a single block without conflicting, by recording a changelog buffer of recent root transitions that validators use to reconcile parallel proof submissions. A CMT is parameterized by its maximum depth (max_depth, determining tree capacity of 2^max_depth leaves), max_buffer_size (number of concurrent changes the changelog can track, directly controlling how many operations per slot the tree can safely absorb), and an optional canopy_depth. The SPL Account Compression program manages CMTs, and they are the foundational storage primitive for both Metaplex compressed NFTs and Light Protocol compressed accounts.