The castle of Logothetis (the construction is quite extensive as you see in the photo below) is situated on the western cliff of Pithagorio. Constructed in 1824, according to Barber's guidebook (the bibliography below).

The construction date seems, however, dubious. If this was really constructed in 1824, it was when Lykoúrgos Logothétis defended Samos during the war of Independence (Samos joined the War of Independence in 1821). The building seems too solid to have been constructed during such a period of confusion. I would suppose it was constructed earlier during the Ottoman period, considering also the Oriental look of the entrance of the tower.

View from the cliff where the castle is. There is a long row of beaches from Pithagorio toward west.