1. A method for managing a cache line, comprising: receiving, from a plurality of local threads executing on a local multithreaded processor, a plurality of local requests to access the cache line; inserting, into an address chain associated with the cache line, a plurality of entries corresponding to the plurality of local requests; identifying a first entry of the plurality of entries at a head of the address chain; initiating, in response to identifying the first entry at the head and in response to the first entry corresponding to a request to own (RTO) the cache line, a traversal of the address chain; setting, during the traversal of the address chain, a state element identified in a second entry of the plurality of entries, wherein the state element corresponds to a serialization acknowledgement from a central ordering unit for a local request corresponding to the second entry; receiving, from a foreign thread executing on a foreign multithreaded processor, a foreign request to access the cache line; inserting, in response to setting the state element, a third entry corresponding to the foreign request into the address chain after the second entry; and relinquishing, in response to inserting the third entry after the second entry in the address chain, the cache line to the foreign thread after executing the plurality of local requests.