If you want to identify the SPID on the remote Server you need to connect to the Remote Server.
I often use sp_who3 and sp_WhoIsActive. They will only show active SPIDS.
For better, quicker answers on T-SQL questions, click on the following...
http://www.sqlservercentral.com/articles/Best+Practices/61537/
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http://www.sqlservercentral.com/articles/SQLServerCentral/66909/