This is a pointer to Assange's superseding indictment.
https://www.justice.gov/opa/press-release/file/1165556/download

Criminal No. 1:18-cr-l 11 (CMH) Count 1: 18 U.S.C.§ 793(g) Conspiracy To Receive National Defense Information Counts 2-4:18 U.S.C. § 793(b) and 2 Obtaining National Defense Information Counts 5-8: 18 U.S.C. § 793(c) and 2 Obtaining National Defense Information Counts 9-11: 18 U.S.C. § 793(d) and 2 Disclosure of National Defense Information Counts 12-14: 18 U.S.C. § 793(e) and 2 Disclosure of National Defense Information Counts 15-17: 18 U.S.C. § 793(e) Disclosure of National Defense Information Count 18: 18 U.S.C. §§ 371 and 1030 Conspiracy To Commit Computer Intrusion

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I still don't see any indication that 18 U.S.C. 793 is extraterritorial:  That is apparently necessary for a prosecution for actions taken outside the U.S.

Similarly, I don't see an indication that 18 U.S.C. 371 is extraterritorial.

https://www.law.cornell.edu/uscode/text/18/371


Nor do I see that 18 U.S.C. 1030 is extraterritorial.


https://www.law.cornell.edu/uscode/text/18/1030



For an example of a law which claims Extraterritorial jurisdiction, see:   https://www.law.cornell.edu/uscode/text/18/1512

"(h)
There is extraterritorial Federal jurisdiction over an offense under this section."



                    Jim Bell