I think the original wording conveys the meaning I intended better. It is not that the authority is trusted centrally. It is a central authority that is trusted.
see BIP11:
"A new standard transaction type (scriptPubKey) that is relayed by clients
and included in mined blocks:
m {pubkey}...{pubkey} n OP_CHECKMULTISIG
But only for n less than or equal to 3."
also see the code in function IsStandard() in Bitcoin Core since v0.6.0:
"// Support up to x-of-3 multisig txns as standard
if (n < 1 || n > 3)
return false;"
The code is very possible to miss a leading '0'.
E.g:
Private Key (hex) is: 57c003d31cca32f79a22e70334fff37875617e89c04d2746b5efc22067ccb8fd
Before: Compressed Public Key (hex) is: 03 8f0de2360796ae0fe17f1a2b0be30af6fb45eccc4a1c7afb5ebea21d041b6e0
After: Compressed Public Key (hex) is: 03 08f0de2360796ae0fe17f1a2b0be30af6fb45eccc4a1c7afb5ebea21d041b6e0
The bug is in the pybitcointools, but it is not updated, we can only repair it ourselves.
The bullet point previously sounded as if the long script was only stored in the UTXO set when not using P2SH, and stored on the blockchain when using P2SH. This might lead to people thinking it might lead to a smaller blockchain when the script is stored in the UTXO set *instead* of on the blockchain. But without P2SH the long script was stored both in the UTXO set *and* on the blockchain. With P2SH it's only stored on the blockchain, which is a clear advantage over not using P2SH.
As input and hash are inbuilt functions, so I'd suggest using other names for variables.
here is output from python interpreter.
>>> hash
<built-in function hash>
>>> input
<built-in function input>
updated the value of average transaction size, average transactions in a block and total block size compared to the block header size in accordance with the current structure of the Bitcoin Blockchain.
Andreas M. Antonopoulos