Towards reducing the manufacturer and hardware trust of physical coins it occurred to me that you can easily and voluntarily create a non-block-chain-transferable bitcoin. Its a bit like partially destroying a coin (by spending it to an invalid address) where you create a coin that is not blockchain spendable (by bitcoins rules), but where you can still prove you half-own it, and can hence half-transfer it. Because you can half-transfer it, it can still be transferred outside of blockchain rules (eg offline or by a group of clients respecting these alternate rules).
To summarize existing methods that coins can be sacrificed or made permanently non-transferable: spend the bitcoin to an invalid address, eg to the address 0, or H(digits of pi) or to an address formed from a public key of form H(random).
Now back on topic, to create a coin that is partly spendable is analogous: a 2 of 2 signature with one invalid address. Or requiring hash preimage of 0, or digits of pi.
(I mentioned the idea of having a multisig with one invalid address in the thread about fixed public key coins, also about physical coins, but I did not see this use case at that time.)
Alternatively if the serial number were implemented as a demonstrably invalid optional second signing address added to a multisig, on each physical coin, probably tools could already index it; though invalid addresses are frowned on for frustrating compaction.
The partially-transferable coin means you have intentionally created a coin that can not be transferred on the blockchain but the physical ownership can still be demonstrated if you have an electronic coin like firmcoin (
https://bitcointalksearch.org/topic/firmcoins-a-new-kind-of-bitcoin-physical-bill-ready-for-off-line-transactions-232898 ).
How does that help physical bitcoin security? Well it ensures that someone cannot empty a coin of its value undetectably by removing the SD card under the tamper evident sticker, or spending the private key where its hidden under a tamper evident sticker, or trusting the coin manufacturer that the coin is even in there in the first place. And relative to firmcoin (which allows coins to be unloaded and reloaded, but deletes the private key on unload, you no longer have to trust the manufacturer to do that as much, because even if they have the private key in unloaded state on their computer, they still cant spend it on the block chain).
To double spend a coin the attacker would need an extra empty physical coin, or the manufacturer could put the same private key in multiple coins (or the user if the user loaded the private key). And whats more if multiple people think they own the same coin it can be somewhat obvious in that the coin is spent at locations too far apart to physically move in the time frame. (And this is a topic of another post, tracking that).
If its permanently non-block-chain transferable that creates two non-intercheangeable bitcoins a physical coin that can not be unloaded, and an online bitcoin, and the only way to trade them is to swap them 1 for 1.
You might also consider variants where the 2nd element is not invalid but heavily time-locked eg 1 year. To time-lock the person loading the coin would create a 1 year time-lock and put the time-lock private key in the physical coin. In this way anyone can validate the address and see it wouldnt have been possible to spend it yet.
Or where the 2nd signature allowing online redemption can be spent but only in cooperation with a somewhat-trusted entity, or a quorum of entities or users (k of n of them.)
Adam