As for spelling out "UnitedArabEmirates", that's trivial with vanitygen.
Yes.
...
Q = Q1 + Q2 + ... + Qn = k1G + k2G + ... + knG = (k1 + k2 + ... + kn)G
therefore k = k1 + k2 + ... + kn
Right?
Yes, BUT...
... + k
7G + ...
the 7th address is the genesis address and only Satoshi has (or had) k
7.
www.upload.ae is down, but you can find the original document published by Satoshi in 2008 (ecash.pdf) and the updated version (bitcoin.pdf) here and compare them:
https://draftable.com/compare/rCuIgdwzImUISatoshi called the original document
Electronic Cash Without a Trusted Third Party but then changed it to
Bitcoin: A Peer-to-Peer Electronic Cash System. The documents are not important for the calculations. They were downloadable at a UAE issued domain name site and the 2nd letters of the Bitcoin addresses spell out as "UnitedArabEmirates". My opinion: OP generated these vanity addresses to show a link to the early days of Bitcoin as the genesis address is being used for the calculations.
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The 7th address is the Bitcoin genesis address.
Yes, in the blockchain we have 04678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb649f6bc3f4cef3
8c4f35504e51ec112de5c384df7ba0b8d578a4c702b6bf11d5f as the genesis public key that results in 1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa.
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Check it, we will publish a signed message.
Address: 1C1gQwDk2sxEaYVuMjBiuCAYaNw1JE2N3s
Message: upload.ae
Signature: HLGj4qJQzv/W06Go84XJqEjAJk65qZ168UjgJWWT2c3ECk9h7iBxYX8luEixvJMvUMsRAQbk9C/f64jXjCeDxyM=
I checked it. It matches.
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It has zero transactions. You are just spamming around random addresses.
Those addresses were never used, and they have no relationship or link to the genesis block or whatever. Just this post.
We have here some public keys:
You should provide more information on how are these public keys "linked to Genesis block address"? It takes time to search 3,086 transactions received in that address manually and searching the addresses you provided didn't show anything.
They are linked through ECC addition. The sum is the public key 0497071fac2b3f401adb86c7119261187b633120a71a4e34c45c931bf776329c9fb35d1415a2322
47363087dbd351f9021a41dfe39f4ceccc6431b2fda353dbb75 (Address: 1C1gQwDk2sxEaYVuMjBiuCAYaNw1JE2N3s) that has been proved by the above signature. The 3000+ transactions are not important here.
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So far from my point of view you posted a bunch of random public keys that could hash to those addresses (takes a fraction of a second to find) and you added those public keys to get a random address that was again never used before!!!
Yes, it is obvious that OP generated these addresses intentionally and OP didn't tell us that the generated address had been used for transactions.
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Genesis block's transaction isn't paying to an address, it is a P2PK output that doesn't have any addresses!
OP is using the genesis block's P2PK 04678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb649f6bc3f4cef3
8c4f35504e51ec112de5c384df7ba0b8d578a4c702b6bf11d5f for the calculations and the address is 1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa.
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Adding all the public keys (point addition) together, we get:
0497071fac2b3f401adb86c7119261187b633120a71a4e34c45c931bf776329c9fb35d1415a2322 47363087dbd351f9021a41dfe39f4ceccc6431b2fda353dbb75
Yes, private key is just a big number. And yes, if you add up a bunch of numbers, you'll obtain a new number.
So you did nothing special there. Adding up some
public keys to obtain a new
number and see it as
private key means absolutely nothing, no matter how hard you try to imply anything else.
I don't think so. OP did a good job with the publication. The question is: did he calculate it (has the private keys) or did he receive it from someone (doesn't have the private keys). To me it is very special.
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I think you just managed to make a new private key through
split-key voodoo. Such keys have no cryptographic relation to the added private keys.
How do we combine the partial private keys together?
We either add or multiply the partial private keys together, modulus the secp256k1 group order so the results aren't out of the curve, to get the final, whole private key.
If you make a new private key how you explain it here, you would need the original private key. Else the signature would not work with the partial private split-key. But the OP signature is valid for the ECC sum of the complete list. And as we know, #7 in the list is the genesis public key. And only Satoshi has (or had) the private key.
[moderator's note: consecutive posts merged]