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 If you can transfer from a bitcoin address to a new one, completely privately, and split the transaction across time and amount, that would work. 

Are there any such working implementations? 
 If you care so much about privacy you can just mine bitcoin. That's 100% anonymous 
 but this doesn't solve the problem of sending or receiving funds. 
 bitcoin mixers 
 Silent payments?! 
 Time-locked Bitcoin transactions across time