Author: ulrichard

  • Saving our holiday at the last moment

    We were late this year with planning our holiday. We discussed a couple of options, but were always too busy to look at them more closely. By end of June, less than a month before embarking, I finally booked an apartment in Tossa de mar at the costa brava in Spain. We spent our honeymoon in this area, and there was a picturesque village with an old fortress directly at the sea, that we especially liked. We didn’t remember the name, nor had we any pictures of that place, only memories. After searching the internet, and looking at lots of pictures, I was 95% certain, that Tossa de mar was that village.

    My over-cautious wive convinced me to pay an extra 90 bucks to be able to cancel the reservation in case something unforeseen would happen. As always I used a booking platform where I can pay with BTC. Up to one week before the holiday we could cancel free of charge, and up to one day before, we would get 50% back. The area is quite expensive, and being late doesn’t help with the pricing neither. So I payed more than ever before for an accommodation that was more on the cheaper side of the options that I found.

    The plan was to drive there with our electric car. That would allow us to be free to move around the area. It is important for us not to pollute the environment for our holidays. And since it is one of the older cars, it still has free supercharging included.

    Six days before the holidays should start, the unforeseen event happened. After a day at the beach in Luzern with some friends, we couldn’t drive home. The car seemed to have little power on the 12V battery, and wouldn’t allow me to drive. After a while of trying even the computer shut down. I called the TCS, but they also were not able to make it drive. After six and a half years where the car never let me down, this was the first time I had to go home by other means.

    The TCS brought the car to the Tesla service center on Monday afternoon. Tuesday morning they started the error inspection, and by Wednesday they told me that the problem was with the high voltage battery. They presented two options: a new 90kWh battery for CHF 22k or a refurbished replacement battery for CHF 12k. Both had a waiting time of about three weeks, so the car would not be ready for our holiday. By chance I found a company that can repair the battery for about CHF 6k and provide a loaner battery for the duration of the repair. They are overwhelmed with work at the moment, so that the repair is estimated to take 3 months.

    Since it was too late for the full refund, we didn’t want to just loose half of the money we paid for the hotel. So we checked our options:

    • cancel and postpone the holidays
    • rent a car
    • go there by train
    • go there by airplane
    • borrow a car privately
    • buy a car

    While I was still overwhelmed by last minute work at the office, the rest of the family explored those options. My wive had a small hope that somebody would go to that hotel instead of us, and reimburse part of the cost. In my view that chance was virtually non-existent. I expected that we would drive about three thousand kilometers on that holiday. A rental car for this would be insanely expensive, and after my recent experience with AMAG, my appetite for rental cars was non-existent. Going there with a train would also be very expensive for the whole family, and inconvenient with the connections. Most planes were probably booked out, so that the only ones that were still available would have us arrive in Barcelona in the middle of the night. Some people offered to lend us their car free of charge, which was very nice of them. But we didn’t want to just take somebodies car, use it for so many kilometers, and give nothing in return. If we wanted to be fair, we would need to give them almost CHF 2k for that. If something broke with that car, it would raise inconvenient questions about who would pay for the repair.

    That left us with either cancelling, or buying a car. Time was tight, but luckily I had Thursday and Friday off. So my plan was that I could go test drive one or two cars on Thursday and immediately decide, so that we could go to the traffic office to terminate the immatriculation. I would then go home, transfer the money, and buy insurance for the car. On Friday I would go to the traffic office to immatriculate it, then go to Tesla to collect the number plates from my car. After making sure the seller received the money, go collect the car. That tight schedule left no room for additional problems. One possible problem was, that bank transfers are not guaranteed to arrive the next day. So a better option would be to pay with Bitcoin, which arrives almost instantaneously and has an unparalleled reliability.

    So on Wednesday, while I was still working, my kids started looking at the used car listings. They called some people to ask if they would sell the car on very short notice, and if they wold accept BTC for it. I am not sure if they thought kids calling with these questions was a joke, they all declined. So I took over in the evening. My requirements were as follows:

    • electric (we don’t want to pollute)
    • supercharging included (only Model S up to about 2016) As I don’t have a credit card, and there are no sane ways yet to pay for charging, this is the only option for long distance travel with an electric car.
    • must be able to sell on short notice according to the plan above
    • payment in Bitcoin

    Most people I called failed on one of these points. Some promised to check the next day. And then there was one that said he could even come to my place for the test drive, and would accept two thirds in BTC but the rest in CHF. That was great, but I told him that I could not guarantee that the CHF were on his account on Friday. He said that a statement from my bank that it was sent, would be good enough for him. So he came on Thursday afternoon for the test drive. The car looked much nicer inside and outside than on the pictures. It was nice to drive, and since it is two years younger than my car, it has some things that are nicer and better. That it is a performance version was not important to me at all. Sure the insane acceleration is a lot of fun, but that also means that insurance and road tax are more expensive.

    I agreed to buy it and signed the contract. Then I sent the BTC and the CHF. Big thanks to SEBA for all the effort to make the express payment happen after the initial hesitation. On Friday the seller even came to pick me up at Tesla. After this stressful week his support meant a lot to us. So our holidays were saved at the last moment!

    Driving to Spain was nice as always. There were good restaurants at the supercharger stations. Even though my wive was a strong opponent of Autopilot before, she slowly got used to the car driving itself under my supervision. We spent some wonderful time at costa brava. We are thankful that we didn’t have to cancel the holiday, and loose half the money for the hotel.

    Now I have three months to decide which of the two cars I will keep after the battery is fixed. The one with the nicer things or the one with the cheaper insurance and road tax. Both are good choices, but which is the better?

  • Stoos Trail

    Last year when we bough something at a sports shop in Schwyz, by chance I saw a flyer for the Stoos Trail. Usually I run only to keep myself fit, and I have no aspirations to compete. But a trail comp so close to home looked interesting. On the website they advertised a training class to prepare. This offering caught my interest even more than the competition itself. I have been running uphill for my RunAndFly exercises for some years, without ever bothering about theory or technique. So I though it might be a good idea to learn some of the basics. After all, I hear about running injuries from time to time. I never had anything, was not too afraid, but still…

    My older son also showed interest, so we signed up together. Stoos trail had three distances, 46km with 2400 meters of altitude, 24km with 1700 meters of altitude and 10km with 500 meters of altitude. The longest was out of the question, but I was unsure which of the other two I should sign up for. I remembered how tired I was once after a RunAndFly to the Fronalpstock. But with a bit of training, and some food and drinking, I might manage the descent as well. Levin wanted to go for the 24km from the beginning. We were not sure that was a good idea, and so we waited to see how the class would go, and consulted the opinion of the instructors.

    The training class was really interesting and fun. We went to a new location every week, and learned something new every time. But when it was time for signing up, we learned that the minimum age for the 24km was 18. We tried to get a special permission, but they couldn’t do that. Levin was really depressed for a couple of days. Somebody told him that if he completed with a good time he could do the 24km next year. So he also looked forward to it. That left me with deciding if I wanted to do the 10km together with Levin, or still go for the 24km. My wive convinced me to still go for the 24km, as I trained for that.

    So came the day. At the start everybody lines up more or less at the position in the gaggle where he thinks he belongs. My goal was to complete slightly better than the middle. So I aligned about in the middle before the start. When we started running I already felt tired, and thought everybody around me trained harder, and that I would be lucky not to end up in the last quarter or the field. I started slowly, and could bread through the nose almost up to Morschach. At the upper part of Morschach my family cheered, and gave me some water. They told me that roughly 60 people already passed before me, which would mean I was just in the better half.

    From there it got steeper, and we hiked more than running until the summit. I could keep a good pace, and made good some positions. Because I prefer to go light and don’t carry a vest, I needed some more time at the food and drink booths. But the positions I lost while drinking, I always made back soon after.

    When I ran and hiked up to Fronalpstock with the Glider, it took me slightly more than two hours to reach the summit. So my estimate was, that with more training and a less direct route in the competition I could still do it in about two hours. I reached the summit in two hours and five minutes, so the estimate was not too bad. For the way down I didn’t have any experience to base my estimate on. The way down is generally faster, but my training consisted mainly of RunAndFly. Thus my legs were not well trained for the descent, and I feared that I would have to walk some parts when the knees would start shaking. With all this in mind, I estimated an hour and a half for the descent, which would sum up to three and a half hours for the whole trail. The upper part was reasonably technical and I had the impression I did quite well. The lower part was on a gravel road which was easier. But my legs were so tired, that I just had to go slower. In fact I can’t remember my legs ever being so tired. Under regular conditions I would just take a break from time to time, but in a competition you just keep running. I reached the goal after three hours and fourteen minutes and ended up in 30th position out of 123 males. So all in all I did much better than anticipated.

  • It sucks when you realize that a big established company is trying to scam you

    Last February I drove my car backwards into a pole. The bumper sure needed to be replaced, but the rest I thought could be put back into place. First I went to the Tesla service center. Since Tesla doesn’t have body shops, they sent me to AMAG. The guy at AMAG who handled my case, seemed helpful and trustworthy. He organized everything with my insurance. He proposed a loaner car for the duration of the repair, and at first said that I should check with the insurance if that is covered. Since he handled everything else with the insurance, he agreed that he would also check the coverage for the loaner car. The next time we talked, he told me that everything, including the loaner car was covered by the insurance. I was surprised that the amount they got the ok from the insurance for the repair was twice as high as the initial estimate.

    I told AMAG a couple of times that a car with more than 9 years and more than 260 thousand kilometers doesn’t have to look like new. I told him I was ok with leaving some parts in place and just bending them back. My only conditions were that it doesn’t rain into the car, and that it doesn’t rust. He responded that if I wanted that, then I would have to pay for the repair myself. If the insurance pays, I would have to agree, to have everything replaced. Slowly an impression was building that they wanted to extract as much money as they possibly could.

    The repair took longer than forecasted. I wondered if that prolongation needed to be communicated to the insurance company, as it meant that the loaner car cost more. But I felt confident that everything was handled by AMAG. In the end they waited for some cable that was not broken, but was to be replaced as cautionary measure. I had promised to drive with my son to Munich the following weekend to watch a football game. For this trip I needed my car back, and told AMAG to keep the old cable, if the new one didn’t arrive in time. In the end I got the car back for the trip with the new cable.

    Although the loaner car was new and pretty nice, there was so much that I like better about my car, that I was looking forward to get it back every moment I drove the loaner.

    Two months later I received an invoice for the deductible. This was as communicated and as expected. So I paid it, and thought the case was closed.

    Another two months later I received an account statement from AMAG, claiming I owed more than CHF 800. There was no indication why this should be the case. After three rounds of questioning, I learned that they sent the invoice for the loaner car to my insurance, and they didn’t pay it. So I contacted the insurance, to learn that I have no coverage for a loaner car. I really can’t remember, if I had the option when I bought the insurance. But the guy from AMAG made it look like most people have it. When he told me that he checked with my insurance and it that it was covered, I saw no reason not to believe him and check for myself.

    Normally I am all for paying for what I consume. Sometimes I even ask proactively for the invoice if I didn’t receive it in time. But in this case I really feel it was not done correctly. Just imagine somebody handing you a gift, and after you consumed it he is demanding a lot of money for it.

    This all made me remember stories from the meetings of the Tesla club about cars that were repaired poorly by AMAG. And of some cars that were returned full with shards from a replaced window. Other stories were about repair offerings with horrendous costs, that were performed for a small fraction at other places. The general consensus was that AMAG tried to rip off their customers, while at Tesla the repair costs were always reasonable. Since Tesla sent me there, I gave my best not to think about these stories. And indeed, my car came back clean and well done.

    I talked to a lawyer about this experience. He advised me to send an insured letter, and wait for the prosecution. Then refute the claim with a “Rechtsvorschlag”. I think this is what I will do. Sometimes new experiences can be valuable, even if they are very inconvenient to go through.

  • Lightning wallet for ubports

    Bitcoin is about being in control of your money. For this to be really true, all the components have to be trustable. It is worth nothing if the application is fully open source, when it is run on a compromised platform. On the desktop this is easy. Linux distributions have been well supported, and more user friendly than its closed source counterparts for a long time.

    On the mobile side, the situation is not as nice. You can choose between two platforms that both include a rootkit, that gives the respective company full control over your device. Open source phones have always been available, but they remained a small niche. Besides having an ungoogled Android device for a while, I had devices running OpenMoko, Mobian, Ubuntu Touch and PureOS. But my favorite so far is ubports. It was born as Ubuntu Touch, was renamed when Canonical stopped development, and the community took over. In contrast to the operating systems that expand from desktop to phone (e.g. Mobian or PureOS), with ubports you feel that it is home on the phone. Only two things were annoying for a long time. One was that bluetooth handsfree didn’t work in the car for quite some time. That hasn’t been a problem for a while. The other thing that always bothered me was that there was no native Bitcoin wallet.

    So I used web wallets in the browser. It worked, but I never liked that workaround. I thought about implementing a simple wallet for a long time, but was always lacking the time. Last year I finally decided to give it a go. Since the Bitcoin part is essentially covered by BDK, I was mainly concerned with the QML and clickable stuff. I had a first look at the SDK when it was still developed by Canonical. Back then it looked really nice to develop for the platform, but somehow it never quite worked. All the more pleasantly surprised I was to find out that these days it is much easier and light weight. And it is even possible to develop apps with Rust. I used to develop Desktop apps with Qt in the past, and I loved it. QML is somewhat similar to Qt, but there are big differences. The basics are great, but there is still a lot about the details I have to learn. A first MVP was quickly done and published to the OpenStore. Of course it was the plan from the beginning to support Lightning at some point. But LDK looked much more complicated than BDK. First I wanted to build on top of the Lipa Lightning Library. But I soon found out that it includes also some stuff that I don’t need, and that there were incompatibilities with the ubports SDK. Soon thereafter I found ldk-node. That was just what I needed. It is a really easy to use LDK based lightning node in library form. That makes LDK as easy to use as BDK, or even easier. It is quite possible that at some point I need something else. But even in that case, ldk-node is a great starting point and learning ground.
    All this is to say that I have now a simple Lightning wallet on my ubports phone. So far reading QR codes is not integrated in the app, and I have to use a separate app to copy the addresses or invoices through the clipboard. That’s an inconvenience, and I want to improve it in the future. Also in general, it is still minimal and rough, but it works!!!

    Get utlnwallet from the OpenStore

  • Lightning operated chocolate arcade

    After the Covid lockdowns are only a faint memory, conferences are back again. Last October I was at the Lugano PlanB Forum with lots of familiar speakers. The talks were good, but not as technical as I would prefer. And last month I was at the Swiss Bitcoin Conference in Kreuzlingen. The talks there were even less technical, but the conference was all in German. That was new for me. I only recently discovered how big the German speaking Bitcoin community grew. So far the Bitcoin community that I was involved was more English speaking. A good percentage was also Swiss people, but since there are also a many expats, the main language has always been English. But that’s not what I want to write about here.
    The conference was a FIAT free zone. Drinks and food was all paid with Bitcoin Lightning thanks to the payment terminals from Lipa.
    At the conference there were some industry booths. These are always interesting to explore. One that was particularly interesting was Bischof vending machines. They presented an industry grade vending machine with a Lightning upgrade (prototype), that they actually plan to bring to production. They also sold toy LN Candy Arcades with a Bitcoin Switch kit. I had to get one of these!
    Back home I flashed the micro controller and configured it. And I modified the candy arcade to operate by the relais from the BitcoinSwitch instead of the coins. It is fairly easy to do, but it is at such a high level that it’s more difficult to diagnose if things don’t work, than working at the lower level that I usually prefer. But since everything was already so well prepared, I did the whole thing without diving into the code. The machine is now in the office at SEBA. So far only few colleagues installed a lightning wallet and grabbed some chocolate. It works most of the time, but I found out that the LNBits demo instance is not always so reliable. And I also found out that it is the most difficult to grab some Lindor, when the ground is fully covered with one layer.

  • Two decades of paragliding

    According to my flight log book, it was the first of April 2002 when I had my first flight on a paraglider as pilot in control. Prior to that I did a tandem flight as the passenger and a few days at the training hill.
    Of course it all started much earlier. I wanted to fly for as long as I can remember. Lots of boys wanted to become pilots. I don’t know if that wish is comparable to todays kids wanting to become influencers. Whatever. I carried my wish to become a pilot longer than most kids. When I started an apprenticeship as a mechanic, the plan was to become a helicopter mechanic afterwards and to make the pilot license. The other common path was to become an electrician and specialize on the flight electronics. I also explored that path for a bit, but decided on the mechanic path. In parallel, I started in the selection process for army pilots. Also there I wanted to become a helicopter pilot. Every path was viable that would lead me to become a REGA helicopter pilot in the future.
    I have known for a while that one of my eyes is a bit weaker. It was never a problem so far. But in the army selection process, that was the reason for dropping out. So I collected as much information on my options as I could. It would still have been possible to make the helicopter pilot license, but paying the 100k all on my own was just not possible. And even after that, it would have been nearly impossible to find a job. There were lots more pilots that wanted to work than there were jobs. It went even so far that many pilots worked for free, just to get the hours to keep the license.
    Already during my school time, my mother and me wanted to try paragliding. Every time there were vouchers in the newspaper, we checked the dates, and most of the time either of us was unavailable. So one day, my mother went alone to a training hill, and promptly broke her appendix. That didn’t discourage me in the slightest. I knew that once I try, I would want to start the training. The problem was that first I didn’t have enough money, and then during the study I didn’t have enough time. As soon as the study was finished, I started the paragliding training. It was the second best option after flying helicopter. Flying close to the terrain is something best done with a helicopter or a paraglider.
    The first years of flying were the most intense. I met good friends that I still see in my early flying years. There were years with more than 300 flights. My whole free time was organized to get the most and longest flights I could get. I started to participate in competitions to get better at cross country flying. Flying comps was a lot of fun. Imagine a week long holiday with a hundred like minded pilots, that are as eager to fly. The only thing to be cautious in comps is to not take too much risk. There were enough examples of pilots who were clearly flying over their limits. I would estimate it’s less than 5% of pilots, but those are the ones, people point to when they want to paint comps in a bad light. I always knew that I did it for fun and that winning is not worth risking your health. There is always risk in everything you do, but with competition flying you can learn managing it pretty well, if you want. There are different risks. The risk to get a bad result, the risk of landing too early, the risk of not reaching the next thermal, the risk to end up in turbulent and uncomfortable air, the risk to get injured and the risk of death. For each risk you have to know how far you are ready to go to reach the goal you want to reach.
    When you are so fully immersed in the flying circus, sooner or later you start thinking if you can make a living off of it. Nobody can live off of competition flying alone. Also sponsors only get you so far, and are hard to find. Lots of the best comp pilots are test pilots for the manufacturers. That sounds like fun, but appeared too risky for me. If you want to become better at a hobby, at some time you reach a point where you have to decide if it is more important than job and girlfriend. I really wanted to get better, but I didn’t want to think about a job that I liked less, or breaking up. Leading a normal live and have a family was ultimately more important to me than becoming a successful competition pilot. I had some role models that managed to still fly comps while having a family, but when one after the other divorced, that was a wake up call for me.
    At one point I started reading the theory books for becoming an instructor. I never wanted to do it full time. As an instructor you watch the students flying and don’t fly a lot yourself. Also if you want to work part time as an instructor, you can be sure to work on the weekends. I have been flying tandem as a hobby and earned some bucks to finance the equipment for many years. But also that becomes less pleasant, when it is the job that pays your bills. At least that’s what I think. And last but not least, I like my job as a software developer, and was not really ready to give it up. That’s how I kept my hobby, and still like to do it.
    Cross country flying is what I liked most, but since it requires lots of time, I had to give it up for the family. I hope I can resume it, when the kids are older. Until then I enjoy the shorter flights. Three years ago I figured out a way to get some short flights without taking too much time away from the family. Since then, I often run half way up the Urmiberg in the early morning to fly down again before going to work.
    In those twenty years I completed 2’523 flights in 21 different countries on 68 different gliders. Most of it was in the first decade, though. 416 flights were on tandem gliders with passengers. 535 flights were on competition gliders. 160 flights were on speed gliders. 211 flights were on single skin gliders. As mentioned above, there were years with more than 300 flights in the beginning. When the kids were smaller I had some years with only 40 flights. Now with the RunAndFly, I am at around 90 flights per year again.
    I saw marvelous landscapes from above. I met many cool and wonderful people through flying. I learned a tremendous amount about the weather and nature in general through flying. I learned a lot about setting and reaching goals as well as managing risk through flying. I will never stop flying as long as I can walk on my own two feet.

  • Rest in peace Seppel & Hoppel

    Yesterday I had to bury the beloved pet bunnies of our kids.

    But let’s start from the beginning. While I had plenty of pets in my childhood, my wive was less lucky in that regard. So she was especially eager to enable that possibility for our kids. Before they went to school, we bought a cat. Even though my wive was as excited as the kids in the beginning, it didn’t turn out so well in the end. After that we evaluated for a while, what pet would be best suitable for our family. I always preferred dogs, but we wouldn’t have enough time for that. And it wouldn’t work when we go to the Wallis at least once a month. So I just play with my parents dog whenever we visit them.

    After much consideration we decided to buy two little bunnies, one for each kid. They were happy beyond description. Three years later they still say it was the happiest day in their lives. They spent the entire first day in front of the barn, as they were not allowed to touch them during the first few days. After that, they took them out for petting very often. That’s how they formed a profound connection. Most pet bunnies are very shy and don’t want to be touched at all. The bunnies of our kids were different. They knew our kids. When they were afraid of something, they jumped into the arms of our kids, as they felt safe with them. When our kids had a bad day at school, they took the bunnies out and cuddled for a while. It made them feel a lot better. I remember I did the same with the dog we had when I was a kid. Last week our kids celebrated the third birthday of their bunnies. They bought them presents and sang happy birthday for them.

    When we were looking for a bigger apartment, one of the more important considerations was that there was room for the bunny barn, that it was reachable directly from the apartment and that there was grass right in front of the barn. It was quite difficult to find an apartment like that. We didn’t even consider apartments, where our kids would have to give up their bunnies. It would have broken their hearts.

    Yesterday their hearts were broken nonetheless. The bunnies were out in the grass as they often are. Then a husky ran into our property and killed one of the bunnies inside the barn, where it escaped into supposed security. Then the husky chased the second bunny back and forth around our patio, before also badly hurting it. Our kids had to witness how their dear friends get killed right where they always played with them.

    My wive who also had to watch it, took the bodies of the bunnies and the kids, and drove straight to the nearest veterinarian. But there was nothing he could do. One of the bunnies was already dead when they found him in the barn, the other was badly hurt and died on the way to the vet. The kids witnessed his last struggles.

    I returned earlier from work to give them some comfort. And then we had to find a place to bury the bodies. The grass part of our patio would be too close for everybody. So we went to the small forest just in front. We didn’t want it to be directly adjacent to the path where the kids walk every day to school, but also not too far away. The little forest is very steep and rocky, so I had to dig four holes until I found a place where I was able to dig deep enough.

    Today the kids didn’t go to school. My wive pained grave stones with the kids. They still cry all the time. I never saw them so devastated. Our neighbor who recently lost a cat, suggested to visit a person who can talk to deceased animals. To me this sounds way too esoteric, but at the moment we consider everything that helps to ease their pain. We might also have to go to some kind of therapy with the kids. They seem to have suffered a trauma.

    The owners of the husky are very sorry, followed to the vet and wrote us a letter. While I am a bit more pragmatic, my wive and the kids can not forgive them, or even talk to them just yet. My wive was advised to report the incident to the authorities, as a predator like this could also be dangerous to small children.

    Rest in peace Seppel & Hoppel, thanks for being such great companions for our kids. And I am sure you also had a good time with us.

  • Creating proof of reserves for an Electrum wallet

    In my last post I promised to write about how you can produce a “proof of reserves” for your own wallet including hardware wallets. So, here we go. First you need an electrum multisig wallet that involves at least one hardware wallet. I won’t go into the details of how to construct this. Recently I created just such a wallet for testing purposes. You can download it and get a descriptor for it with the following steps:

    git clone https://github.com/RCasatta/electrum2descriptors.git
    cd electrum2descriptors
    cargo run -- tests/wallets/multisig_hw_segwit

    That will output two descriptors, one for receiving- and one for change addresses:

    ["wsh(sortedmulti(2,tpubDEcw4ooTbmw62zBKdkYepoP3z4WWugdeRzPHHAbk8XVsPfBE9AAZMNghiqwtdFgtabaeppBTPmezUkRkQZidLcSJp3XTASbMakHcYauWehZ/0/*,tpubDEbkvhmJoZMq3SUNqEf3aEsubvqsCUPc7rroHkGERgS7qA1gQVMxUPrgzth6x43odirLohwf4aMHpvcnWi3jCB2xkizv8T4B2KqLRZVLC6K/0/*))",
    "wsh(sortedmulti(2,tpubDEcw4ooTbmw62zBKdkYepoP3z4WWugdeRzPHHAbk8XVsPfBE9AAZMNghiqwtdFgtabaeppBTPmezUkRkQZidLcSJp3XTASbMakHcYauWehZ/1/*,tpubDEbkvhmJoZMq3SUNqEf3aEsubvqsCUPc7rroHkGERgS7qA1gQVMxUPrgzth6x43odirLohwf4aMHpvcnWi3jCB2xkizv8T4B2KqLRZVLC6K/1/*))"]

    With this and the following commands, you can generate a bdk wallet, and a proof transaction:

    cargo install --git https://github.com/bitcoindevkit/bdk-cli --features=reserves,electrum
    DESC_EXT="wsh(sortedmulti(2,tpubDEcw4ooTbmw62zBKdkYepoP3z4WWugdeRzPHHAbk8XVsPfBE9AAZMNghiqwtdFgtabaeppBTPmezUkRkQZidLcSJp3XTASbMakHcYauWehZ/0/*,tpubDEbkvhmJoZMq3SUNqEf3aEsubvqsCUPc7rroHkGERgS7qA1gQVMxUPrgzth6x43odirLohwf4aMHpvcnWi3jCB2xkizv8T4B2KqLRZVLC6K/0/*))"
    DESC_CHG="wsh(sortedmulti(2,tpubDEcw4ooTbmw62zBKdkYepoP3z4WWugdeRzPHHAbk8XVsPfBE9AAZMNghiqwtdFgtabaeppBTPmezUkRkQZidLcSJp3XTASbMakHcYauWehZ/1/*,tpubDEbkvhmJoZMq3SUNqEf3aEsubvqsCUPc7rroHkGERgS7qA1gQVMxUPrgzth6x43odirLohwf4aMHpvcnWi3jCB2xkizv8T4B2KqLRZVLC6K/1/*))"
    bdk-cli -n testnet wallet -w proofdemo1 --descriptor $DESC_EXT --change_descriptor $DESC_CHG --server ssl://electrum.blockstream.info:60002 sync
    bdk-cli -n testnet wallet -w proofdemo1 --descriptor $DESC_EXT --change_descriptor $DESC_CHG --server ssl://electrum.blockstream.info:60002 produce_proof --message "Testnet coins are worthless"
    

    That will produce a partially signed bitcoin transaction, which can look something like this:

    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

    Now load this transaction in your electrum wallet.
    Here comes the interesting part: try to sign it.
    Unfortunately I got the following error:

    A wallet owned pubkey was not found in the transaction input to be signed.

    This is an exception coming from the BitBox2 plugin.
    So, lets take a step back and just use an electrum soft wallet with local key storage. We start again with the command to extract a descriptor. In the electrum2descriptors directory, execute:

    cargo run -- tests/wallets/multisig_segwit

    That again will output two descriptors, one for receiving- and one for change addresses:

    ["wsh(sortedmulti(2,tprv8dNybiDsdyms39SAWTxyiNHABTTgiqmJpScmxGrdKEuZ7TwXcaYXT4f4ddVjWiiQs9zowHqyDmvaebN6fU2Lu6iAYnYuepiLkvzGdcZZi8D/0/*,tpubD9cniQzQ8XnuagyP9Xwg3sWCX77wQPWoLPW7jqzcPn37r8hq2X86uztCEyFbMY16amzwdJ1CcNRXhF3vykn1wuDv2ULzryRtaCcN5Cr8F9y/0/*))",
    "wsh(sortedmulti(2,tprv8dNybiDsdyms39SAWTxyiNHABTTgiqmJpScmxGrdKEuZ7TwXcaYXT4f4ddVjWiiQs9zowHqyDmvaebN6fU2Lu6iAYnYuepiLkvzGdcZZi8D/1/*,tpubD9cniQzQ8XnuagyP9Xwg3sWCX77wQPWoLPW7jqzcPn37r8hq2X86uztCEyFbMY16amzwdJ1CcNRXhF3vykn1wuDv2ULzryRtaCcN5Cr8F9y/1/*))"]
    

    With this and the following commands, you can generate a bdk wallet, and a proof transaction:

    DESC_EXT="wsh(sortedmulti(2,tprv8dNybiDsdyms39SAWTxyiNHABTTgiqmJpScmxGrdKEuZ7TwXcaYXT4f4ddVjWiiQs9zowHqyDmvaebN6fU2Lu6iAYnYuepiLkvzGdcZZi8D/0/*,tpubD9cniQzQ8XnuagyP9Xwg3sWCX77wQPWoLPW7jqzcPn37r8hq2X86uztCEyFbMY16amzwdJ1CcNRXhF3vykn1wuDv2ULzryRtaCcN5Cr8F9y/0/*))"
    DESC_CHG="wsh(sortedmulti(2,tprv8dNybiDsdyms39SAWTxyiNHABTTgiqmJpScmxGrdKEuZ7TwXcaYXT4f4ddVjWiiQs9zowHqyDmvaebN6fU2Lu6iAYnYuepiLkvzGdcZZi8D/1/*,tpubD9cniQzQ8XnuagyP9Xwg3sWCX77wQPWoLPW7jqzcPn37r8hq2X86uztCEyFbMY16amzwdJ1CcNRXhF3vykn1wuDv2ULzryRtaCcN5Cr8F9y/1/*))"
    bdk-cli -n testnet wallet -w proofdemo2 --descriptor $DESC_EXT --change_descriptor $DESC_CHG --server ssl://electrum.blockstream.info:60002 sync
    bdk-cli -n testnet wallet -w proofdemo2 --descriptor $DESC_EXT --change_descriptor $DESC_CHG --server ssl://electrum.blockstream.info:60002 produce_proof --message "Testnet coins are worthless"
    

    That will produce a partially signed bitcoin transaction, which can look something like this:

    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
    

    Now load this transaction in your electrum wallet.
    Unfortunately, the “Sign” button is deactivated.
    So, apparently, there is nothing we can do at the moment. I will opened an issue with Electrum, and I am curious about what they think about adding support for signing proof PSBTs.

    Of course we could sign the PSBT with bdk-cli, since we already transformed the Electrum wallet to descriptor format with electrum2descriptors, but that would only work with the soft wallet, while I am more interested in the use case with hardware wallets. There is at some point support for hardware wallets coming to BDK, but I don’t know when that will be.

  • Proof of Reserves

    As part of my work at SEBA Bank, I recently implemented a “Proof of Reserves” feature for our cold storage. The idea behind “Proof of Reserves” is that custodial businesses holding cryptocurrency should create attestations as to their reserves. Essentially proofing that they indeed hold, and have control over the coins that customers deposited. We intend to use it for audits, and offer as a service to customers.

    As part of this work, we recently released bdk-reserves, the first SEBA open source library. And we celebrated the release with a sabre. As it is based on BDK (Bitcoin Dev Kit), the goal is to integrate it into the umbrella of the BDK project.

    I found some descriptions, ideas and code snippets, but nothing finished nor working. For a long time I have been looking for privacy preserving “proof of reserves”, but this would be a whole other topic. After some research, I decided to base the implementation on Bitcoin Improvement Proposal 127: Simple proofs-of-reserves. It describes how to form such a proof as a standardized “Partially Signed Bitcoin Transaction” (PSBT). The good thing about this is, that since it is a standardized format, most software- and hardware- wallets already understand it. What is different, is that the first input is a hash of a message, and the single output is unspendable. This renders the PSBT valid for handling in wallet software, but it can never be added to the blockchain. The even better part is, that unlike regular signatures, it also works for multisig wallets.

    Neither auditors nor customers will have access to an installation of our cold storage software. So I looked for an easy way to verify the proofs that are produced by SEBA cold storage. My pull request was recently merged into the BDK commandline client.

    So, let’s assume you are a SEBA client, have your precious coins in our super secure cold storage, and requested a proof of reserves. What you probably end up getting is a PSBT in text format that could look like this:

    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
    

    That’s quite a mouth full. It is so large (28.6 kB in this case), because it has 19 inputs, and for every one of them, we need signatures from multiple signers. You can load this PSBT in electrum. To do so, run electrum –testnet, click Tools->Load transaction->From text. In the new dialog, you paste the PSBT from above, and click “load transaction”. In the following Image you can see how Electrum visualizes the transaction. You can see that there is no fee, many inputs, only one output, and that Electrum can’t make sense of the first input, which is a hash of the proof message.

    Now onto verifying that. In order to not repeat the above, let’s assume we already assigned it to the variable PROOF_PSBT, and also prepare some more variables:

    PROOF_PSBT=cHNidP8BAP03AwEAAAATfUqj...the PSBT from above...TV64AAA==
    PROOF_MSG="Stored in SEBA Bank AG cold storage"
    PROOF_ADDR=2Mtkk3kjyN8hgdGXPuJCNnwS3BBY4K2frhY
    

    Next, we install bdk-cli, and check how we need to feed the arguments:

    cargo install --git https://github.com/bitcoindevkit/bdk-cli --features=reserves,electrum
    
    bdk-cli external_reserves --help
    

    And finally, we run the verification:

    bdk-cli -n testnet external_reserves "$PROOF_MSG" $PROOF_PSBT 3 $PROOF_ADDR --server ssl://electrum.blockstream.info:60002
    

    If successful, it will produce an output like this:

    {
      "spendable": 53865580
    }
    

    That means the proof is valid for 53865580 satoshis, which is roughly half a Bitcoin.

    That’s it for today. In an upcoming post, I will hopefully show you how to produce a “Proof of Reserves” yourself, involving Electrum, a hardware wallet and bdk-cli.

  • Blaming the healthy

    More and more often I hear claims that the unvaccinated occupy beds in hospitals and shall somehow be solely responsible for spreading the virus. In reality 3% of hospital beds are currently occupied by Covid patients, and about half of them are fully vaccinated. 22% of beds in the supposedly overcrowded hospitals are empty. In addition, the healthy unvaccinated are excluded from going inside restaurants, museums, fitness centers and concerts. All while the vaxxed don’t need to test, nor wear face masks while going to those venues. It is no secret and never was, that the vaccine is no protection against spreading the virus, but merely against severe illness. Against all knowledge and facts, the pressure rises all the time to volunteer in the human trial of this experimental vaccine. Some say they take the vaccine not for themselves, but in the name of solidarity and they seek to pressure this onto others. So far, most people who took the vaccine, were coerced because they wanted to go to restaurants and clubs again.

    I am not against the vaccine at all. I had many vaccinations in my live. But these were against illnesses that could harm me severely, and they were not experimental. I am not worried that I would be severely affected by Covid19. There are many factors to this. I am not elderly, I’m not obese and I don’t smoke. Instead I feel very healthy, I do sports, eat healthy and I make sure to have enough vitamin D. The unvaxxed people of more than 70 years in my family reported their infection to be about twice as bad as a regular flu. Hence also the genetic part is in the green. I understand and encourage everybody who is at risk by Covid to take the vaccine. It is a risk reward calculation that is different for every person. And everybody has to do it for himself. No, I don’t think that I would suffer badly from the vaccine, but “fact checkers” in mainstream media don’t really help in making an informed decision. In fact I see the risk of severe side effects as higher than from a Covid infection multiplied by the probability of getting infected by Covid. That is getting infected despite wearing a mask, social distancing and being banned from restaurants and public swimming pools. I also fully respect the decision to take the jab to participate in the social live again or for going to the gym. But what I don’t condone is, when people want to force others.

    Of course I understand that people want something in return for surrendering their body to a science experiment. They get the peace of mind that the illness would most probably be less severe. That should be enough IMHO. But letting them spread the virus without restrictions, and then blame it on the healthy … aehm unvaccinated goes too far.

    People who resisted all the propaganda, all the pressure, all the frequently changing narratives, all the shaming and all that fabricated guilt, must be pretty confident in our own health. We are most likely the kind of people who never in our live exhausted the health insurance franchise, and who never in our lives slept in a hospital bed. We in fact spent a lifetime paying other peoples medical bills, while keeping our selves healthy with foresight. And because we want to stay healthy, we are now portrayed as a burden to society. Is this really how solidarity works? I often hear that unvaccinated should pay their medical bills themselves or not be allowed to hospitals. Is this really how solidarity works? We pay your medical bills all live long, and when one of us needs something you want to deny it? Some even say that unvaccinated people should be banned from buying food, and starve to death. I fail to find words for that.

    It would be nice if people, despite all the fear mongering, could respect basic human rights again such as those from the Nuremberg Code. So far I understood the power over your own body as one of the foundations of our society, as well as a basic human right. If people want to abandon the integrity and self determination over your own body, then we have to think very well about where to draw the line. Otherwise it could end up legitimizing rape, human trafficking and involuntary organ trade.

    A lot of this ongoing drama reminds me of Idiocracy