His first Olympiad appearance was for Russia at the Moscow event in 1994, when he took home a gold medal in celebration of the team's winning performance. He played for the Dutch team at each of the events held from 2000–2006, with an overall record of +14 −2 =33 (62.2%).[7]
At the European Team Chess Championships, he has earned three gold medals (two team and one individual) for his contribution to the successful Dutch teams of 2001 (León) and 2005 (Gothenburg). At León, he registered a 77.8% score.
Tiviakov and Bogdan Lalic both claim to have played a previous record 110 consecutive tournament games at classical time controls without losing, although neither player faced exclusively elite-level opponents during their unbeaten streaks and faced predominantly a mix of weaker professional and club level players while playing open tournaments.[8] Tiviakov's streak occurred between 28 October 2004 and 27 September 2005.
The current record belongs to Magnus Carlsen (+42, =83), who went unbeaten across 125 consecutive games between 31 July 2018 and 9 October 2020..
While still holding the record, Tiviakov said Ding Liren's 100 consecutive games without a loss against elite-level opponents in 2017–2018 was a comparison of apples and oranges.[9]