Apologies for delayed response.

Balance = 0. They once had a btc balance but now they hold zero (0) balance.

The data set is made up of 97 previously used private keys with a confidence level of 95% and margin of error 10%.

We couldn't agree more. Finding an address like this was by pure and utter chance. Statistically, we should have found an address with less than approximately 0.01. Finding such a significant address is what led us to begin speaking about our efforts publicly.

As mentioned to you previously and many times in the thread, we are NOT declaring success. Have not made the claim that our rule is valid because as you mention, the current results are not significant enough hense why our actual scientific journal is not published and wont be published for a further number of months. I consistently have explained this numerous times to you and others. This publication as of now is just the beginning of presenting results and to speak publicly of our efforts.

Yes. P value = 0.2381

We are not acting on any privates with it be signing of keys or withdrawl of balances for two reasons.

1. We are investigating the laws surrounding withdrawl of btc found in private keys in our region. (Even if legal. There is a high probability we wont withdraw but sign. And if we were to withdraw, it would be an insignificant amount compared to found and would only be done so to provide proof)
2. We are not signing private keys as we have yet to prove our rule and find it would be inappropriate to do so and take such action on someone else's property until rule is proven.

It is indeed possible for find correlations in any sequence of large numbers and thus have significant work left to prove.

Schwarzschild.

In layman's terms, yes but it is not just that simple.

If you did indeed read the publication, you would know the answer to your query on open source and if you did indeed read this thread, you would also know the answer to your peer review question. A scientific journal will be released in due course and we will seek peer review

The scientific journal with all specifics will be released in due course. We will then seek scientific review. This publication was a simple write up of what we are doing. Not explicitly how. As mentioned, that will come.

Good question regarding dormant address. Our definition of dormant address is:

An address which has tx records and zero balance but may be used again by its owner. (Like any address with a tx)

Our dormant private key data set was created day by day over a period of 4 months. It is no longer being complied as we had enough of data in the set to begin research.

Another good question regarding why these addresses are linked:

Although I do not know definitively why yet and dont know if I will be able to define why at any time, it appears there is a sequence (pattern) albeit with a range of variations, in private keys with TX history. It is entirely possible and probably is, that this sequence is through all private keys generated (2^256) but we created our data set with dormant keys in order to reduce the total amount of keys needing to be iterated through and to give us some context for the search rather than randomly generating. We do not intend to search all 2^256 keys and therefore will not define that the sequence is true across the broader spectrum of keys. We can only say the sequence is potentially true in our data set of dormant keys. Our rule based generator is not generating all keys but old those who fit the bounds of our rule.
When/if we release our research, someone may search all 2^256 keys if they wish.

As for you pointing out the transaction we found was on april first. That is quite funny I'll admit but a simple coincidence.

Please continue to be a skeptic and question it as we are ourselves. I hope for our rule to be true but I cannot discount the possibility of they found key being a simple coincidence and our rule invalid. As mentioned numerous times, we have yet to declare success.

Our publication is a simple explanation of what we are attempting to do without divulging a step by step guide on how. It clearly states formulas and methodologies used. It is up to a reader to think of how one would attempt re-creating our rule prior our public release. Divide and conquer is a great starting point.

I do not believe it to be a bold claim. Images are provided of our console output identifying the private key with a second image providing public key to said private key. When we declare success we will either withdraw these btc or sign the wallet. We are currently investigating the illegality of withdrawing these btc in our region.

As for the formula mentioned. If one was to be quite competent in mathematics and science, a simple read of our publication with said formula in mind, its use and importance would stick out like a sore thumb.

Note final update on original post.

We will sign each private key we find when we declare our rule a success and not just a coincidence. We are not here to convince any person. If a person should find interest in what we are doing they may keep an eye on schwarz rule for updates. If others like you believe this is a scam and we are scammers, please do provide us with information on how you may claim such with what we have published.

Our rule simply reduces the total amount of private keys needing brute force through an identified pattern. We are doing what many others have attempted before but with a mathematical formula advantage which has taken 3 years to develop. We do not request anything from any person or entity nor will we ever. To be accused of being scammers or a scam, although was expected, is difficult to digest given the time consumed in developing schwarz rule.

So if you believe this is a scam, go about your day and forget about our efforts.

The official publication clearly outlines plenty of substance. We have given enough information for someone who is more than competent in math and scientific observation to figure out how we developed this rule.

Our software is not and will not be made available for sale. All will be published publically including all math, science, code and observations used in developing our rule. As per our official publication.

Please refrain from deeming a public publication with no request for monetary payments, personal data requests or code for sale as scam/malware.

Official Publication of our findings: www.schwarzrule.com

(NOTE: Our site is down for a rollout of a new feature which will provide more information on our efforts).

A mathematical observation.

We complied an extensive list of already used but dormant private keys and used a variant of algorithms but primary divide and conquer to identify alphanumeric patterns in said private keys. Once patterns were identified, we created a rule which we passed to our private key generator. This rule informs our generator to only create private keys on the bounds of our rule which we have named, schwarz rule.

Our rule drastically reduces the total amount of private keys needing bute force action such as attempts by the Large Bitcoin Collider.

After 4000 runtime hours (Approx 2 Billion private key generations and searches) we have successfully identified a private key with a positive balance of 69BTC.

We are yet to declare our rule successful as coincidences do happen but upon this find on the 16th of April we decided to issue an official publication, linked above. WE will declare success if we find a second private key in 8500 runtime hours.

You may read more about our process on official publication including images of private key find and some information on our process of developing the schwarz rule.

Regards,

Schwarzschild.

NOTE UPDATE:

Our publication is being met by some resilience in relation to scams. We will NOT ever request you or anyone to hand over any personal information or make payments of any kind. If you should find someone on bitcointalk, twitter or any other forms of media claiming to be schwarz rule associated and requesting any of the above, please report immediately.
Our publication is of the upmost importance to us in delivering updates periodically to those who find themselves interested in our work. It is free and will continue to be free even after we declare successful. All code, math and scientific observations used to create our rule will be released publicly.

NOTE UPDATE:

Our rule simply reduces the total amount of private keys needing brute force through an identified pattern. We are doing what many others have attempted before but with a mathematical formula advantage which has taken 3 years to develop. We do not request anything from any person or entity nor will we ever. To be accused of being scammers or a scam, although was expected, is difficult to digest given the time consumed in developing schwarz rule.

So if you believe this is a scam, go about your day and forget about our efforts. As mentioned previously, we will never request any information or request payments from a person or entity.

NOTE UPDATE:

Please feel free to attempt replication. A starting point is the following:

T(n) = b ÷ 2T(n/2) + bn if n>2