eUTxO.
Extended UTxO. Cardano’s ledger model: a UTxO can carry datum and be locked by a script, enabling smart contracts on a UTxO chain.
Classic UTxO + a tag and a bouncer. The tag (datum) says what it's for; the bouncer (validator) checks what you present (redeemer) before opening it.
In depth
Extended UTxO (eUTxO) is the model formalised by Chakravarty et al. (2020) and adopted by Cardano. It augments classical UTxOs with a Datum (state attached to the output) and a Validator script (a function that decides whether the output may be spent). Smart contracts gain expressivity while keeping the local-reasoning benefits of UTxO.
Example
A vesting contract is just a UTxO at a script address with a datum like { beneficiary: alice, unlocksAt: 1000 }; a transaction can only spend it when the validator agrees.