Here’s what MSCD ¶ 1.48 says regarding information to include in the introductory clause for any party that is an entity:
To distinguish a legal-entity party from any other entity bearing the same name, the only information you’d need is its jurisdiction of organization. Consequently, stating the address of a legal-entity party in the introductory clause would serve only to clutter it up. If the parties need to know each other’s addresses for purposes of sending notices, the notices provision would be the place to state them.
But as MSCD ¶ 1.50 acknowledges, that guidance won’t necessarily apply outside the U.S. For example, in some other jurisdictions it might be appropriate to include a registration number. I invite you to specify in the comments what information it would be appropriate to include in addition, or instead, with respect to a legal-entity party organized in a jurisdiction outside the U.S., and why.