  We propose the task of local state marking (LSM), where some multipartite
quantum states chosen randomly from a known set of states are distributed among
spatially separated parties without revealing the identities of the individual
states. The collaborative aim of the parties is to correctly mark the
identities of states under the restriction that they can perform only local
quantum operations (LO) on their respective subsystems and can communicate with
each other classically (CC) -- popularly known as the operational paradigm of
LOCC. While mutually orthogonal states can always be marked exactly under
global operations, this is in general not the case under LOCC. We show that the
LSM task is distinct from the vastly explored task of local state
distinguishability (LSD) -- perfect LSD always implies perfect LSM, whereas we
establish that the converse does not hold in general. We also explore
entanglement assisted marking of states that are otherwise locally unmarkable
and report intriguing entanglement assisted catalytic LSM phenomenon.
