Pick the strands, name one price

Your shares do not move until somebody pays. Publishing gives Seaport permission to move exactly what this lot offers, and puts the order on chain.

Every lot on chain, read from Seaport's own log

There is no server. This list is built by reading Seaport's OrderValidated events and then asking the chain, at one block, what is still true of each one.

What you hold, and what you have published