Ethereum EOA signing uses a specific curve and valid scalar range.
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A mathematical system needs exact parameters, not merely a general family name.
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From a public address to a verified signatureStep 1 / 4
An address is public receiving information. It is not the private key that authorizes actions.
An address is public receiving information. It is not the private key that authorizes actions.The local signing system uses secret authorization material. It produces a signature; the private key is not sent along with it.A verifier checks the signed request under the account’s rules. A valid signature does not by itself prove that the action is safe.Balances belong to network state. A wallet is an interface and signing system, not a box containing coins.
Animated local teaching model. No wallet, RPC or live blockchain data. Some labels and hashes are abbreviated for readability.
Identify the curve
Traditional Ethereum EOA transactionsignatures use ECDSA with secp256k1. This does not mean every cryptographic operation in Ethereum uses the same curve or signature scheme.
Generate valid secrets securely
A private scalar must lie in the curve group’s valid nonzero range and come from a secure random process. A memorable phrase converted casually to a number is not a secure generator.
Represent the public point correctly
Public keys can have compressed and uncompressed encodings. Address derivation expects the specified public-key representation rather than arbitrary displayed key text.
Protect the signing process
Never place real secrets in educational tools or examples. A signature implementation must also handle its signing nonce safely to avoid exposing the private scalar.
Inspect the distinction
EOA signing family: ECDSA over secp256k1
Private scalar: valid nonzero group-range value
Public key: curve point with an explicit byte encoding
These are local teaching values, not a signature request or a live-chain lookup.