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The Metric That Matters for the Lightning Network

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The Lightning Network is a revolutionary scaling solution for Bitcoin, enabling fast and inexpensive payments that make everyday transactions with Bitcoin possible. As the network grows, it’s essential to measure its health and efficiency accurately, so we can unlock its full potential.

Traditional metrics like node count, channel count, and capacity have been used to assess the Lightning Network, but they only tell part of the story. To truly understand the performance of this second-layer solution, we need to focus on flow—specifically, Max Flow, a metric with a long history of optimizing complex systems.

Max Flow: The Key to Understanding Lightning’s Health

Max Flow is a powerful metric that calculates how much value can theoretically flow through a network, considering constraints like channel capacity and liquidity. It’s an essential tool for evaluating network effectiveness and reliability, particularly in systems where smooth, uninterrupted flow is the key to success.

Max Flow has been used for decades in industries ranging from telecommunications to logistics. It’s already been applied to solve problems in:

  • Telecom Networks: Max Flow helps allocate bandwidth efficiently, ensuring that data flows seamlessly across the internet.
  • Supply Chains: Companies use Max Flow algorithms to optimize the movement of goods across their global distribution networks, reducing delays and maximizing efficiency.
  • Transportation Systems: Cities apply Max Flow to traffic management, ensuring that vehicles move smoothly across road networks by optimizing flow through intersections.

These examples showcase how Max Flow improves efficiency in complex systems where resources need to move quickly and efficiently. Now, it’s being applied to the Lightning Network as seen in new data science research from René Pickhardt about feasible lightning payments. Applying Max Flow to the Lightning Network will help ensure that Bitcoin can flow smoothly between users, even as the network scales.

Max Flow isn’t about measuring the actual movement of value, but rather about understanding the probability of feasible payments across the network. By focusing on Max Flow, we gain a more accurate understanding of the Lightning Network’s true health. Instead of just counting channels or capacity, Max Flow shows us the likelihood of payment success, allowing node operators to optimize their liquidity and improve the overall performance of the network.

Max Flow provides a curve of Payment Reliability by Payment Amount, showing how success probability changes with different payment sizes for the network and specific nodes of interest.

Traditional Metrics Fall Short

Metrics like node count, channel count, and capacity provide a snapshot of the Lightning Network’s infrastructure. But much like counting the number of roads or intersections in a city, these numbers don’t tell us how well traffic is flowing. In the case of the Lightning Network, what really matters is how efficiently Bitcoin can be routed through the system.

Critics who focus solely on these traditional metrics often draw limited conclusions about the network’s performance. While it’s important to know the size of the infrastructure, it’s far more valuable to understand the probability of successful payments.

Max Flow offers that deeper insight. By measuring the success probability of payments, it helps us see where liquidity is well-distributed and where bottlenecks might be forming. This enables operators to make data-driven decisions that improve the network’s performance and ensure that payments are routed reliably.

Max Flow Shows Lightning’s Performance Rises with Bitcoin Price

The Lightning Network is designed to scale with Bitcoin, offering fast and cheap transactions without overloading the Bitcoin blockchain. As Bitcoin’s price appreciates, the network’s capacity to handle larger payments grows naturally.

For example, if a channel holds 0.1 BTC and Bitcoin is priced at $50,000, that channel can route a $5,000 payment. If Bitcoin’s price doubles to $100,000, that same channel can handle $10,000—without any changes to the underlying infrastructure. As the bitcoin digital economy grows, so too will the capabilities of the Lightning Network. Bitcoin price increases coupled with data-driven changes to the Lightning Network will help expand the capabilities of Lightning.

Max Flow plays a critical role here, helping to measure the success probability of payments as the network scales. It provides an essential tool for monitoring payment reliability and ensuring that the network remains efficient as demand for Bitcoin transactions grows.

The network payment reliability increases as bitcoin’s price appreciates from $50,000 to $100,000 assuming no changes to the Lightning Network.

Max Flow is the Future of Lightning Monitoring

Max Flow is the next-generation metric that will help drive the Lightning Network forward. By moving beyond superficial statistics like capacity or node count, it offers node operators and investors a more accurate picture of the network’s performance. This, in turn, helps them make smarter decisions about liquidity allocation and payment routing.

For investors, Max Flow offers a more reliable measure of network health, revealing the underlying potential of the Lightning Network. Those who focus on Max Flow will gain deeper insights into the scalability and efficiency of Lightning, positioning themselves to capitalize on future growth.

For node operators, understanding Max Flow means being able to optimize their channels for better performance. It helps them manage liquidity more effectively, ensuring that payments flow reliably, and improving the user experience for those interacting with the network.

Conclusion: Max Flow is the Metric That Matters

As the Lightning Network evolves, Max Flow will be essential to its health and performance. While traditional metrics like node count and channel capacity offer a limited view of the network, Max Flow reveals how efficiently value can move through the system—a critical insight as Bitcoin grows and the demand for reliable payments increases.

Max Flow is more than just a new way to measure the network—it’s the key to unlocking the Lightning Network’s full potential. By focusing on the metrics that matter, node operators and investors can help the network scale smarter, ensuring that Bitcoin’s role in the global economy continues to expand.

TL;DR

  1. Traditional metrics like node count, channel count, and capacity don’t provide a full picture of the Lightning Network’s performance.
  2. Max Flow is the right metric to assess network health, as it evaluates the probability of feasible payments and liquidity optimization.
  3. As Bitcoin’s price appreciates, the Lightning Network’s capacity to handle larger payments grows naturally, and Max Flow helps monitor this process.
  4. Max Flow has proven its value in optimizing complex networks in industries like telecommunications, supply chains, and transportation.
  5. Max Flow will play a critical role in helping the Lightning Network scale efficiently, making it an essential tool for both investors and node operators.

This is a guest post by Jesse Shrader. Opinions expressed are entirely their own and do not necessarily reflect those of BTC Inc or Bitcoin Magazine.

About Amboss:

Amboss is building the infrastructure for the Bitcoin Lightning Network, enabling seamless, real-time transactions across industries. With machine-learning-powered routing and liquidity optimization, Amboss ensures billions of low-cost payments happen securely and efficiently. As AI-driven economies emerge, Amboss provides the backbone for autonomous systems to transact at scale.



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Markets

MicroStrategy CEO Michael Saylor Reveals His Bitcoin MSTR Plan

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“It’s mostly paranoid crypto anarchists that say that.”

With these eight words, issued on the “Markets with Madison” podcast, Microstrategy CEO Michael Saylor evoked outrage from just about everyone in Bitcoin. 

Shinobi called him a “spook.” Carvalho was confused. Svetski claimed this will start the next Fork Wars.

Put simply, Saylor said a bad thing. He broke the taboo. He said you’re better off trusting your Bitcoin in state custody than holding your own private keys, then went further, calling out all of the businesses engaged in custody projects by calling them effectively bullshit salesmen.

It was, shall we say, a “big oof,” a “footgun,” the scene in the cartoon where the hero gets hit with an anvil. 

Here’s Adam Simecka’s clip from the full video:

Yet, paradoxically, I’ll admit, it’s probably the most interesting thing Saylor has ever said?

For years, Saylor and the Cyber Hornets have been “Grut and the Minions,” Saylor using his pulpit to spout whatever bullish nonsense was in vogue, without adding anything of his own.

Other people said things, and then Saylor said them again. He was the “people’s champion,” a “man of plebs,” a role that even his mundane AI generated tweets seemed to underscore in tagging the artists, invariably some random pseudonym.

So, anger aside, I have to say, at this time, I’m undecided. Sure, as someone who lived through the Fork Wars, I find Svetski’s position romantic (It’s nice to think we’re in the midst of some larger struggle), but it’s perhaps too early to cry wolf.

Instead, I find myself (for once) actually trying to understand what Saylor is saying.

As far as I can tell, there’s really three ideas at play here:

  1. This is a new thesis for how to boost Bitcoin adoption using public markets – Saylor is framing the self-custody question as not an issue to solve with innovation, but an issue to ameliorate. His view: It doesn’t matter how people own Bitcoin, only that they do. His preferred vehicle for this is the stock market, and he seems to want to co-opt it as a massive vehicle for buying Bitcoin and selling the exposure.
  2. This thesis actually might solve the problem of how to fight the crypto market – This is also one of the more compelling things about Bitcoin “Season 2,” the idea you could “co-opt the crypto apparatus” as a means of getting retail involved. Here, Saylor seems to want to marshal his army of Bitcoin stocks for the purpose, his view retail will begin purchasing Microstrategy and Metaplanet, in lieu of memecoins, chasing as they always do, beta on Bitcoin.
  3. It’s a novel thesis on convincing government to adopt Bitcoin – A world where Bitcoin is the reserve asset for regulated entities seems like one in which draconian laws become less viable. After all, in this world, Bitcoin would have a direct link to the U.S. economy (at least the version most politicians care about). You have to admit: “You can’t ban Bitcoin, it will hurt the stock market,” has a nice ring.

Of course, maybe the commentators are right. Saylor’s incentives seem to be departing from the network. Maybe he is placing his company and its quest to amass Bitcoin above all else, and it’s worth questioning his motives at this moment.

Some argue self-custody, if nothing else, is the core of Bitcoin, the fact that you can trust no one but yourself to hold and safeguard your wealth.

Then again, in Saylor’s view, inflation is the true boogeyman, the debasement of purchasing power, the far bigger issue.

Is it possible this is a giant government psy-op, that Saylor flew too close to the sun, and there are an army of regulators who are twisting his arm to say this? 

Sure, Microstrategy does work with intelligence agencies, but even then, intelligence agencies and their pension funds need somewhere to invest. A hyperbitcoinized world is surely one where these funds will also buy Bitcoin.

But I have to say, as someone who has never found Saylor very interesting… for now, I’m at least paying attention. 

I’ll start there.

This article is a Take. Opinions expressed are entirely the author’s and do not necessarily reflect those of BTC Inc or Bitcoin Magazine.





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Bitcoin

What The ECB Gets Wrong About Bitcoin

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Follow Frank on X.

Last week, Ulrich Bindseil and Jürgen Schaaf of the European Central Bank (ECB) published a paper entitled “The distributional consequences of Bitcoin” in which they made a host of dubious claims about Bitcoin.

The notions that those who are late to investing in bitcoin are impoverished by those who were early to investing in it and that Bitcoin has failed as a payments technology are the authors’ central arguments.

Bitcoin analyst Tuur Demeester sounded the alarm about the report on X.

As a former academic, I was appalled at how lazy the arguments in this paper were. Hence, I’ve taken the time to push back on some of them.

  • The main premise of the paper is that if bitcoin’s price continues to rise, early bitcoin investors — the “early birds” (the authors’ term) — will gain wealth at the expense of the “latecomers.” While this is true if the early birds hold all of their coins to no end, the dynamic is no different with any other publicly-traded asset. The bigger point that the researchers miss, though, is that some of us are both “early birds” and “latecomers.” I first bought bitcoin in January 2018, and I also bought some last week. Did I impoverish myself in this scenario? No, I didn’t. Nor has anyone who has dollar-cost averaged into bitcoin over any period of time. Also, I bought some gold earlier this year. After doing so, I didn’t shake my fist at the sky yelling “Damn all of you who have front run me to gold over the last 5,000 years!” I simply made the purchase in efforts to preserve my wealth in a highly inflationary environment — one that the ECB itself is partially responsible for causing — and went about my day.
  • One of the other primary arguments in the paper is that Bitcoin has failed as a payment technology. In making this claim, the authors fail to even mention the Lightning Network, a layer built on top of Bitcoin that enables fast, cheap bitcoin payments. In recent years, the Lightning Network has grown exponentially. From August 2021 to August 2023, the network grew by 1212% — which occurred mostly during a bitcoin bear market. Major players from the world of traditional payments are building on Lightning, as well. A prominent example of this is David Marcus, former President of PayPal, who is the current CEO of Lightspark, which is building enterprise-ready payments infrastructure via the Lightning Network. Beyond Lightning, Bitcoin is still quite young and will likely need to be more fully monetized (less volatile in fiat money terms) before people begin using it more frequently using it as money.
  • Throughout the piece, the authors bring up how bitcoin and other cryptocurrencies are the preferred currencies of criminals and bad actors worldwide. While there’s little evidence that proves this to be the case, as methodology of Chainanalysis — the blockchain analysis firm often employed to look into crypto and criminal activity — is questionable at best. Terrorist organizations like Hamas have stopped relying on crypto donations because of their traceability. With that said, TD Bank was just fined $3 billion for enabling money laundering, while Wells Fargo is currently in the crosshairs of regulators for doing the same. And data shows that criminals prefer cash above all else when committing crimes. Lastly, I made two purchases last week with bitcoin and I can assure you that neither were illegal. And I’m not the only one who recently made perfectly legal purchases with bitcoin.
  • The authors also make the claim Bitcoin is a threat to democracy because crypto PACs now donate to politicians. The presupposes that every other lobbying group out there isn’t a threat to democracy, which is laughable. What the authors also missed is that bitcoin is often a money of last resort for pro-democracy activists who’ve been debanked by authoritarian regimes. One of the first moves in the modern dictator’s playbook is to cut dissidents off from the traditional financial system. In these cases, pro-democracy activists have to rely on bitcoin and other cryptocurrencies. Alexei Navalny, Vladimir Putin’s former opposition, popularized using cryptocurrencies for donations when the Putin regime limited its access to traditional financial rails.
  • The authors also suggest that central banks can just tighten monetary policy to counteract the “bubble” forming in bitcoin’s price. The last two years have proven that this isn’t true, as rates are just about the highest they’ve been in over a decade and a half, yet bitcoin’s price is still on the verge of approaching an all-time high in US dollar terms. Plus, tightening from the US Federal Reserve, the central bank of the US, led to the collapse of Silicon Valley Bank (SVB) as well as other banks in 2023, highlighting the fact that tightening makes the traditional financial system more fragile. This only makes a stronger case for people to store their wealth outside of the traditional system in an asset like bitcoin.

Beyond these points, the tone of this paper from the ECB is paternalistic in that it suggests that all retail investors are incapable of learning more about how markets work and why Bitcoin is important.

Toward the end of the report, Bindseil and Schaaf cite a source that claims that “unsophisticated investors are drawn into the market” as the bitcoin bubble grows, seemingly suggesting that everyone one of these retail investors only buys at the top and sells toward the bottom of a drawdown.

I was once one of those unsophisticated retail investors, and while I first bought bitcoin near its 2017 top, I also bought it on dozens of other occasions, including when its price dipped to local lows in 2018 and 2020. I did so because in studying Bitcoin and learning what problems it solves I came to place more faith in it than I did in the traditional monetary and financial systems.

There are many others like me, and I’d imagine that they too take offense to the ECB’s diminishing their intellectual capabilities and writing deeply biased reports that misrepresent what Bitcoin is and the reasons why people invest in and adopt it.





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Crypto scam

Andrew Tate is Poison — Crypto Must Stand Up for Coffeezilla

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Andrew Tate’s response to Coffeezilla shows he’s thin-skinned and doesn’t care about the people who have invested in his tokens.

On-chain sleuth Coffeezilla has become a thorn in the side of high-profile influencers shilling coins to their millions of fans.

One of his best-known scalps is Logan Paul, who was ripped to shreds over his embattled and now-abandoned project CryptoZoo. 

Coffeezilla’s also gone toe-to-toe with the likes of Sam Bankman-Fried as he vies to uncover scams to his 3.77 million subscribers on YouTube.

But now, the investigator is facing an almighty backlash about a deep dive that hasn’t even been released yet — and it relates to a number of coins that have been endorsed by Andrew Tate.

On Wednesday, Coffeezilla shared a DM that he had sent to Tate, asking whether he had been paid to promote cryptocurrencies, including ROOST and DADDY.

Andrew Tate is poison — crypto must stand up for Coffeezilla | Opinion - 1
Coffeezilla’s DM to Andrew Tate | Source: @coffeebreak_YT

The message also pointed out that this is completely at odds with videos that Tate had released on X earlier this year, where he was topless and appeared to have substantially more hair.

Coffeezilla is following a crucial journalistic principle known as the “right of reply.” If you’re going to make allegations against someone, they must have the ability to respond before publication.

But instead of answering the legitimate questions put forward — which would be of interest to his many acolytes — Tate chose to go down the homophobic route.

By the looks of things, this has now unleashed a huge can of worms. Coffeezilla shared a screenshot that shows how his inbox has been bombarded with slurs.

Why? Because Tate reposted an anonymous account that exposed Coffeezilla’s email address, with the misogynist telling his followers: “Email him and call him gay.” 

Undeterred, the investigator has insisted that he still wants a reply to his questions — and it’s likely that, if the clock runs out, Coffeezilla’s video will go live anyway without a comment.

The YouTuber also posted a comical mash-up that showed Tate chomping on a cigar because it looks cool, declaring that he respected Coffeezilla, cutting to another clip where he says:

“Coffeezilla is a b****. I don’t give a f*** about your video, I don’t respect your journalism.”

Given how wide-eyed Tate is as he jabs his finger toward the camera, you could suggest that all of this scrutiny is bothering the sham entrepreneur more than he lets on.

Andrew Tate is poison — crypto must stand up for Coffeezilla | Opinion - 2
Andrew Tate drinks more coffee than you do

What is Coffeezilla investigating? 

Coffeezilla, who married his high school girlfriend in 2017, has so far remained tight-lipped about the nature of the allegations against Andrew Tate and his brother Tristan. 

But it seems a core part of the focus in his upcoming investigation will surround the $DADDY token, which has fallen precipitously in value since launch and has never recovered.

An all-time high of $0.2925 was set in mid-June when CoinMarketCap started tracking the altcoin — and at the time of writing, it’s down by more than 48%.

Tate’s full rebuttal video is something of a parody — honestly, some of the lines in there are pure comedy, especially how they are delivered. He tells Coffeezilla: 

“I guarantee I drink more coffee than you — meaning you’re a fraud to begin with. You’re doing this little breakdown, this investigation, you just emailed me in a homosexual tone.”

To be honest, I don’t even know where to start with this. You can’t have “Coffee” in your handle unless you prove you’ve got a higher caffeine tolerance than Andrew Tate? Daring to scrutinize a man who has more legal troubles than Lamborghinis reveals his sexual preference? 

Even before knowing the exact nature of Coffeezilla’s investigation, we have an insight into how thin-skilled Andrew Tate really is — and ultimately, how little he cares for his community, as well as those who have invested in his tokens.

Tate’s toxic masculinity has preyed on the insecurities of disenfranchised young men around the world while his foray into crypto has dived into their wallets — creating a false illusion that they, too, will experience extreme wealth one day.

When you think about it, Tate’s branding and messaging are reminiscent of an era that most of the crypto world has been trying to move away from, when the ICO boom of 2017 was full of wild excesses along with never-ending images of fast cars and bundles of cash. 

In this battle, the crypto community needs to rally behind Coffeezilla — a man who has taken great risks to expose bad actors in the space and stand up for those who have lost their life savings to some of the industry’s most audacious scams. He, among others, serves as crypto’s immune system, with every investigation slowly chiseling away at the sector’s “Wild West” image and deterring opportunistic thieves planning to swindle unsuspecting victims.

The crypto community needs to distance itself from narcissists like Tate, who use homophobia as a weapon to deflect against their own shortcomings. Coffeezilla’s sexual orientation has zero relevance to the work he performs, and it’s shameful to think otherwise. Digital assets won’t ever achieve mass adoption if the influencers within this space denigrate innocent people who are doing nothing wrong.

And last but not least, the crypto community needs to realize that Andrew Tate and his coins represent everything that this innovative sector is not: hateful, harmful and dishonest. Engaging with him only drags down the rest of the industry.

Crypto is all about the future. Tate’s worldview belongs to the past.





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