On Wed, May 15, 2013 at 08:40:59AM -0400, Caleb James DeLisle wrote:
>If the commitment is opaque at the time of inclusion in the block then
>I will create multiple commitments and then after revealing the
>commitment and spend to you I will reveal the earlier commitment which
>commits the coins to an address I control.

Bit-commitments are based on deterministic one-way functions eg like SHA1(
SHA256( public key ) ) Obviously it has to be a different one-way function
to the coin address calculation which is RIPEMD( SHA256( public key ) ) as
that is already public.  Alternatively it can be a different serialization
using the same hash eg RIPEMD( SHA256( 1 || public key ) ).

There is only one commitment possible per public key - so you can only
create one commitment that would validate to a receiver, or to the network. 
The network checks that there are no non-blind double spends of committed
coins which it can do as spends require disclosure of the public key, which
allows existing commitments to be verified, and it similarly qchecks that
there are no blind double-commitments.

Each committed coin would be:

one-spend-commit = Com( spender pub ), Com( transaction )

where Com is implemented as the above hash.  The network just places the
commitments in order as with conventional transactions.

The committed coins are not linkable to your non-blind coin because you did
not reveal your public key in the (largely passive) act of receiving to a
coin address.

>On the topic of reversibility, I suspect in the long term the lack of
>chargebacks will create issues as criminals learn that for the first
>time in history, kidnap & ransom is effective. 

The temporary unlinkability (until commitment reveal) is a necessary side
effect, not a cryptographic anonymity feature like zerocoin.  The
transactions are identical to bitcoins once revealed.  How long the
committed transaction chains can be between reveals is an implementation
choice could be 1 hop, or as long as you like.  (Actually it appears to be
up to the individual users how long the maximum chain they accept is - the
network itself, though ordering the committed spends (if there are multiple
spends on the same key) cant even tell how long the commitment payment
chains are).

Obviously the first coins in the network ordered committed coins on the same
key up to the coin value are spends as verified by the recipient, the rest
are double-spend and ignored.  If someone wants to waste fees by sending
more spends than there inputs thats up to them.

Probably the typical user doesnt care about long committed chains  other
than their wallet will bloat if the chains are too long, so probably they
would periodically compact it by revealing the long chains.  Committed coins
are probably a bit less SPV client friendly, though with correct formatting
in the merkle trees between blocks, probably a committed coin holder can
provide enough proof to an SPV client to verify even multi-spend committed
coins directly (without a network feed).

About privacy, up to the entire commitment chain can be opened at any time
(to other people or to the bitcoin network in general) with the cooperation
of any user on the chain (up to the point they saw it), so while the blind
commitment protocol is not vulnerable to a > 50% power quorum unilaterally
imposed policy (without even needing client updates), it is fully dependent
on the good will of the recipients for its temporary unlinkability.  Thats
the point: it puts policy control in the users hands not in the > 50% power

If you want cryptographic anonymity its better to look to zerocoin.  You may
have noticed zero coin talked about optional fraud tracing.  Its usually
trivial to add tracing to an otherwise privay preserving protocol.

The blind commitment if implemented as described (and its not obvious how to
get more privacy from it) offers somewhat like community policing.  Users on
the chain can still themselves do fraud tracing, or any policy they choose,
on any blind committed coins that they receive.  If they dont like the
colour of them they can refund them.  The point is to enforce that this is a
free uncoerced community choice, by individual end users, not a > 50% cpu
power quorum choice surreptitiously imposed.


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