Similar Words to Verify:

Affirm
Assert
Aver
Avow
Control
Swan
Swear

Examples:

1. Well, can you verify the figures?
2. The ship's computers will verify my figures.

Definitions of Verify:

1. Confirm the truth of
2. Check or regulate (a scientific experiment) by conducting a parallel experiment or comparing with another standard
3. Attach or append a legal verification to (a pleading or petition)
4. To declare or affirm solemnly and formally as true