No, at this time there is no way to tell exactly which MailboxID items are linked to from the Search Results screen.
Find and open the message in the Archive Manager website
With the message open in Internet Explorer right click the message and select properties.
Copy the value for the Address (URL) field.
From that field copy the checksum
For example the url will look like http://archivemanager/ViewMessage.aspx?CheckSum=a23d7658-cfba-b5d5-fb71-a4e0e679871a
Copy the checksum which in the above example is a23d7658-cfba-b5d5-fb71-a4e0e679871a
Then run the following query in SQL Management Studio on the server with the Archive Manager database replacing the checksum in this line with the one from your message.
Use ArchiveManager
SELECT MailBox.Name, MailBox.MailBoxID, MailBox.ActiveDirectoryExchangeLegacyDN, MailBox.AltUID, Message.Subject, Message.DateReceived, Message.DateProcessed, Message.CheckSum
FROM MailBox INNER JOIN MailBoxMessage ON MailBox.MailBoxID = MailBoxMessage.MailBoxID INNER JOIN
Message ON MailBoxMessage.MessageID = Message.MessageID
Where Message.CheckSum = 'a23d7658-cfba-b5d5-fb71-a4e0e679871a'
Enhancement Request TF00646566 has been submitted to Development for consideration in a future release of Archive Manager.