How does LSTM cell map to layers?

user_3435649 0
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I'm having trouble understanding exactly the scope of an LSTM cell --how it maps to a network's layers. From Graves (2014):

Seems to me that in a single-layered network the layer = lstm cell. How does this actually work in a multilayered rnn?

Three-layer RNN Three Layer RNN

LSTM Cell LSTM Cell

The output of the cell is h_t with no superindex indicating a specific layer. Same thing with the equations. Does each cell span across a single layer? Or does each cell span across the entire three nodes at each time step?

recurrent-neural-network lstm
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