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Why Digital Ownership Depends on Cryptography

On a public blockchain, owning an asset means being able to produce a valid digital signature. This explainer walks through what that implies and why the signature scheme is a load-bearing assumption.

Reading time
7 min read
Last reviewed
1 Oct 2026

Ownership is a proof, not a record

In a traditional database, ownership is a row that an administrator can edit. On a public blockchain there is no administrator. Instead, an account is identified by a public key, and the only way to move what the account holds is to present a transaction carrying a signature that verifies under that public key.

This is the entire mechanism. There is no password reset, no customer support path, and no court order that the network understands. The network checks the mathematics and nothing else. Whoever can produce a valid signature controls the account.

What a signature scheme promises

A digital signature scheme has three operations: key generation, signing and verification. The security promise is that someone who sees the public key and any number of valid signatures still cannot forge a new signature for a message they choose. This property is called existential unforgeability under chosen-message attack.

Every asset, token balance and program authority on a chain such as Solana inherits that promise. If the promise fails for the scheme in use, the chain's record of who owns what is still intact, but the ability to enforce it is not.

Public keys are public by design

On Solana, an account address is the Ed25519 public key itself. Anyone can read it from the ledger. This is normal and intended: verification requires the public key. It matters for quantum readiness, though, because an attack that recovers a private key from a public key needs nothing more than what is already on-chain.

Some other systems hide the public key behind a hash until the first spend. That delays exposure but does not remove it, because the key must be revealed to sign.

Why this makes the algorithm a load-bearing assumption

Most software can be patched in place. A signature scheme cannot: changing it changes what a valid proof of ownership looks like, which changes how wallets sign, how nodes verify, how addresses are derived and how existing accounts are reached. The algorithm is woven into the data format, the wallet ecosystem and the user experience.

That is why Lattice frames readiness as visibility first. Before anyone can plan a change, they need to know every place the current assumption lives.

Practical implication

  • Treat the signature scheme as part of your product's data model, not an implementation detail.
  • Document every place your application creates, verifies or stores signatures and public keys.
  • Remember that on-chain public keys are already exposed; readiness planning cannot rely on hiding them.

Limitations

  • This article describes the general model. Specific chains add their own rules for fee payers, multiple signers and program-controlled accounts.
  • It does not estimate when, or whether, the Ed25519 assumption will fail. See the quantum computing explainer for what is and is not known.

Sources

  1. [1]Solana Docs: Accounts (opens in a new tab) · Solana Foundation
  2. [2]Solana Docs: Transactions and Instructions (opens in a new tab) · Solana Foundation
  3. [3]RFC 8032: Edwards-Curve Digital Signature Algorithm (EdDSA) (opens in a new tab) · IETF

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