To pinpoint it precisely, you'll need to:
1. Consult your Silverado's repair manual: This will have diagrams and precise locations for all components.
2. Use a parts diagram online: Many online auto parts stores (like AutoZone, Advance Auto Parts, etc.) have searchable diagrams specific to your vehicle's year, make, model, and engine. Search for "2001 Chevrolet Silverado EVAP system diagram" and look for the purge valve.
3. Visually inspect the area near the EVAP canister: The EVAP canister is usually a cylindrical container, often black plastic, located somewhere under the hood. The purge valve is usually a small solenoid (it has electrical wiring connected) relatively close by.
Keep in mind that access might be somewhat difficult due to other components. Be careful when looking around the engine bay.
Without more specific details about your Silverado's engine (e.g., 4.3L, 4.8L, 5.3L, 6.0L), it's impossible to give a more precise location.