The Titulus Equitii is usually identified as the Basilica of San Martino ai Monti. However, the actual basilica dates back to the 9th century, and the underground structure from the 3rd century was not really used as the church. Later in the Liber Pontificalis Pope Symmachus I (AD 498-524) is said to construct the Basilica of San Silvester and San Martin "from the foundations".
There is no such information in the first edition of the Liber Pontificalis.