ment is without merit. Plaintiffs Lanham Act claim sounds in tort. See PPX Enter., Inc. v. Audiofidelity, Inc., 746 F.2d 120, 124-25 (2d Cir.1984) (noting that “[Section 1125(a)] created a new statutory tort of false representation of goods in commerce”). Although Section 302(a)(1) is typically invoked in breach of contract cases, see Hoffritz, 763 F.2d at 59-62; Agency Rent-A-Car, 98 F.3d at 31, “it applies as well to actions in tort when supported by a sufficient showing of facts.” Singer v. Walker, 15 N.Y.2d 443, 465, 261 N.Y.S.2d 8, 209 N.E.2d 68 (1965).
The exercise of long arm jurisdiction over Defendants by a New York court must also satisfy constitutional due process standards. See Agency Rent A Car, 98 F.3d at 32. The exercise of personal jurisdiction here comports with “traditional notions of fair play and substantial justice[,]” International Shoe Co. v. Washington, 326 U.S. 310, 316, 66 S.Ct. 154, 90 L.Ed. 95 (1945) (citation omitted), because Defendants’ contacts with New York were continuous and substantial, and in no way random, fortuitous or attenuated. See, e.g., Burger King Corp. v. Rudzewicz, 471 U.S. 462, 480, 105 S.Ct. 2174, 85 L.Ed.2d 528 (1985). Accordingly, the district court’s exercise of personal jurisdiction over Defendants was constitutional.
As a final matter, we briefly comment on an error of law made by the district court. In asserting personal jurisdiction over Defendants, the district court stated that “the present dispute arises from business transacted in New York, irrespective of the specific grounds upon which [Sunward] seeks injunction.” Not so. A plaintiff must establish the court’s jurisdiction with respect to each claim asserted. See SAS Group, Inc. v. Worldwide Inventions, Inc., 245 F.Supp.2d 543, 548 (S.D.N.Y.2003) (quoting First Capital Asset Mgmt. v. Brickellbush, Inc., 218 F.Supp.2d 369, 397 & n. 145 (S.D.N.Y.2002)).
However, overall, the district court correctly found that Defendants transacted business in New York and that Plaintiffs cause of action has a substantial relationship to such transactions, and the exercise of personal jurisdiction is also constitutional. Accordingly, the district court properly exercised personal jurisdiction over Defendants.
II. Preliminary Injunction
This Court reviews a grant or denial of a preliminary injunction for abuse of discretion. TCPIP Holding Co., Inc. v. Haar Communications, Inc., 244 F.3d 88, 92 (2d Cir.2001).
In cases involving claims of trademark infringement under the Lanham Act, “as in other types of cases, a party seeking a preliminary injunction must demonstrate (1) the likelihood of irreparable injury in the absence of such an injunction, and (2) either (a) likelihood of success on the merits or (b) sufficiently serious questions going to the merits to make them a fair ground for litigation plus a balance of hardships tipping decidedly toward the party requesting the preliminary relief.” Federal Express Corp. v. Federal Espresso, Inc., 201 F.3d 168, 173 (2d Cir.2000). The party seeking the injunction must show a “clear” or “substantial” likelihood of success where the injunction sought is mandatory — i.e., it will alter, rather than maintain, the status quo. Tom Doherty Assoc., Inc. v. Saban Entm’t, Inc., 60 F.3d 27, 34 (2d Cir.1995). Here, the injunction sought by Plaintiff would alter the status quo by requiring Defendants to assign certain phone numbers to Plaintiff; consequently Plaintiff must show a clear or substantial likelihood of success on the