Proudly shared code for Optimal Off Chain Channel replenishment (aka circular rebalancing) delvingbitcoin.org/t/research-upd… As mentioned, this was a hard one with many dead ends and the reason for my silence in 2025. Actually I never thought I'd find a solution to liquidity management.

Ja, ich weiß nicht jeder mag ÖRR und ZDF aber die Doku zum Thema BFKMänner für Männer an der ich mitgewirkt habe ist sehr gelungen! zdf.de/video/reportag… Wir planen Verfassungsbeschwerde bzgl. der Exklusion von Männern im neuen #Gewalthilfegesetz. Kennt wer gute Anwälte?

Earlier today, Bryan Bishop (Bryan Bishop), Robin Linus (яobin linus), and Rene Pickhardt (Rene Pickhardt) joined Murch and Schmidty to cover: - Restricting access to Bitcoin Core Project discussion - Garbled circuits and BitVM3 - Updates on Lightning channel rebalancing

Does anyone know a good resource that compares #bitcoin's proof of work to karl marx's labor theory of value? Yes, I know Marx is opposing the subjective theory of value. Yet it seems to me there are some parallels from Marx's theory and how PoW helps bitcoin to emerge as money

Presenting BM Big Read, with Emil Sandstedt's new report on Strategy. Mincing no words, Sandstedt says the quiet bit out loud: These treasury companies are going to collapse. The Bitcoin Magazine Bitcoin Magazine bitcoinmagazine.com/bigread/the-bi…

I recently started digging into quantum resistence for #bitcoin This talk by Tadge Dryja made me worry much less about quantum computers youtu.be/4bzOwYPf1yo?si… That being said I think we should be prepared and also work proactively on mitigations to keep the existing coins save

I have now studied #bitcoin for many years. What do you think is in my humble opinion the most interesting / crucial topic for Bitcoin? (in alphabetic order)

Coming back to Berlin where in 2018 my journey at Fulmo ⚡'s #lightninghackday started is very emotional! Thus, I decided to make a presentation to sumarize everything I know about routing reliability and liquidity. Glad nifty, btc++ berlin oct 2-4 asked me to participate bitcoin++ (;

People knowing me are aware that I love hinting at new insights here. Enjoy (; Choosing a Lightning network profit-maximizing fee policy is an example of a bilevel, dynamic, inventory-constrained network optimization problem en.wikipedia.org/wiki/Bilevel_o… and en.wikipedia.org/wiki/Stackelbe…

A Monotonicity Result for Cost, Attempts & Reliability in Lightning Routing Even if the Network starts in a balanced state selfish senders force it to deplete over time. Consequence?! 1. Payment Costs increase 2. More attempts needed to deliver payments (Reliability decreases)

I assume no one needs those historic pieces of hashpower anymore? Ant T9+. I can promise they only heated my home (1.5 kW each) but didn't solomine a block yet, so they might still be up for a surprise.

In a very good mood on my way to bitcoin++ ⚡️lightning edition. What could possibly go wrong? 1. German trains late almost one hour (as expected...) 2. One of the largest train stations in germany's financial epicenter is fully covered with shitcoin advertisements... 🤮💩

Big shoutout (and big thanks) to nifty, btc++ taipei dec 15-17 and her incredible team and the volunteers for organzing an amazing bitcoin++ lightning edition in #Berlin! I'm now again highly motivated after having talked to many amazing people which Lisa was able to bring together.

Do you want to understand my latest insights on Routing Reliability, Liquidity & scaling the #LightningNetwork? Missed to come to Berlin for bitcoin++ by nifty, btc++ taipei dec 15-17 ? Check out youtu.be/c3AuaHJordg to learn about The Mathematical Theory 🧪👨‍🔬 of Payment Channel Networks🔥

What an event! btc++ held our lightning++ edition in Berlin, Germany 🇩🇪 was such a thrilling experience. We had amazing speakers and bitcoin dev leaders showcasing their work. Thank you to everyone! Calle calle of Cashu Allen Farrington allen farrington of FLUX Alex

You say #vibeCoding ?! I'm currently on fire with #vibeWriting. While I was planning to finish a mathematical theory of payment channel networks this year, after bitcoin++ I am even more motivated to do so. Really curious how useful those LLMs will really be in the end ((:

The moment I started putting my conjectures into those LLMs: Of course they spit out something. But they throw mathematical tools at me that I have never seen before and I can't quickly know if they are hallucinating or being reasonable! Not sure if I celebrate or regret this?!

The simplex method is an algorithm that turns an optimization problem, like setting up an investment portfolio, into a geometry problem. Recently, the scientists Sophie Huiberts (left) and Eleon Bach reduced the runtime of the simplex method. quantamagazine.org/researchers-di…

“ETF My Keys Daddy” I honestly think this should be required watching for bitcoin devs building today. Also helpful for everyone to understand where things are going. Even if it doesn’t change any of the decisions you make for your products, we have a collective responsibility

Happy to agree with Matt Corallo 🟠 though I'd add that ark scales liquidity management. Quote:"In terms of Ark + LN trust isn't required, it instead is a matter of Ark scaling onboarding while LN scales payments. Neither suffices on its own, but together they're pretty good."