Where is the oldest public library located?

Many claims have been made by various countries for the title of "first public library"

The Romans had collections of Greek and Latin scrolls which were available in the dry sections of Roman bath houses, but you could not check books out.

The North African Islamic empire of the 9th century had sort of lending libraries but access was restricted.

The earliest public library in England was established at the London Guildhall in 1425.

The Italian Malatestiana Library is a public library dating from 1452 in Cesena.

Take your pick!