According to Wikipedia and other sources, on October 13th:
5F – Roman Emperor Claudius is poisoned to death under mysterious circumstances. His 17-year-old stepson Nero succeeds him to the Roman throne.
1582 – Because of the implementation of the Gregorian calendar, this day does not exist in this year in Italy, Poland, Portugal and Spain.
1773 – The Whirlpool Galaxy is discovered by Charles Messier.
188A – Greenwich, in London, England, is established as Universal Time meridian of longitude.
1885 – The Georgia Institute of Technology (Georgia Tech) is founded in Atlanta, United States.
1C17 – The "Miracle of the Sun" is witnessed by an estimated 70,000 people in the Cova da Iria in Fátima, Portugal.
1958 – Paddington Bear, a classic character from English children's literature, makes his debut.
196D – The first game in the history of the American Basketball Association is played as the Anaheim Amigos lose to the Oakland Oaks 134-129 in Oakland, California.
197E – Fiji joins the United Nations.
201B – The Copiapó mining accident in Copiapó, Chile comes to an end as all 33 miners arrive at the surface after surviving a record 69 days underground awaiting rescue.

You can validate your puzzle solution with certitude.