Statement 1 is Incorrect: Article 393 of the Constitution explicitly specifies its short title. It states verbatim, "This Constitution may be called the Constitution of India."

Statement 2 is Incorrect: Article 395 of the Constitution contains a specific provision repealing foundational colonial-era laws. It explicitly states that the Indian Independence Act, 1947, and the Government of India Act, 1935, together with all enactments amending or supplementing the latter Act (excluding the Abolition of Privy Council Jurisdiction Act, 1949), are repealed.

Statement 3 is Incorrect: Article 394 of the Constitution explicitly mentions its commencement date. It lists specific articles (such as those related to citizenship and elections) that came into force immediately upon adoption, and then states that the remaining provisions "shall come into force on the twenty-sixth day of January, 1950, which day is referred to in this Constitution as the commencement of this Constitution."

Since all three statements are incorrect, there is no correct statement. Therefore, the correct conclusion is that there is no correct statement.