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 My monero tracing tool automatically identifies the sender of this transaction: c97d96fe61b2aee18a04fdb0975594c7e6d3334036e0e57e70666b9e5fe309b3

Try it here: https://supertestnet.github.io/examiner/

It seems to only be able to identify the sender in about 1 out of 15 transactions, but that's not nothing. I suspect tools with more data (like Ciphertrace's monero tracing tool, linked on my examinr github repo) do a better job of this, but it's silly to claim monero can't be traced in the face of two tools that at least sometimes trace it 
 You didn't trace anything. How does this identify the sender?...Did you narrow it down to a single sender? There are always 15 decoys and 1 true spend. You can't tell us which one is the true spend (unless this is your personal transaction then of course you know.)

Thats how rings work.

And mind this is a single transaction. As time goes on, you transact more, and it's chosen as decoys for other transactions, your probability for tracing rapidly falls off.

original 16 = ~6%
1 hop 16^2 =  ~0.4%
2 hops 16^3 =  ~0.02% 
 > You didn't trace anything

I did. I identified this pubkey as the sender: 23396ea4b0ab93e3417c3650d47b1c8414bb593d7fc9cdb1b27244e139645302

The rest are the decoys. My tool uses on-chain data and two heuristics to identify the true spend. The two heuristics are explained on my github:

https://github.com/supertestnet/examiner/

Someone told you monero can't be traced by they were wrong. Ciphertrace has a tool for tracing them and now I've released a free and open source alternative. 
 OK, so how do you know you've got the right sender? Like others are saying, if you can only trace the sender correctly in 1 of 15 transactions, you're not beating randomly guessing. You'll guess correctly 1 out of 15 tries, and you'll have no way to verify you were right. What's your methodology for verifying correctness on that 1 of 15? If you have that then you might have something, because if not then you've got no way to know which out of 15 was the correct guess. 
 Dude that isn't tracing...

You could already do that with any Monero block explorer. Click any tx hash in a block and you can see a pubkey. See this is what I mean about you using terms in unorthodox ways.

By the way is that your transaction? I see it was made yesterday