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Phundamentals
ph@nostrplebs.com
npub12eml...y99g
Author: Bitcoin for Institutions https://zeuspay.com/btc-for-institutions Co-Host of Rock-Paper-Bitcoin, Motivating the Math, Sound Coffee, and Back on the Chain podcasts Study math, be sovereign
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Phundamentals 3 weeks ago
🔑 Magic Internet Math Episode 4: Why the Inverse Problem Works Bitcoin's security rests on the inverse problem — but why does an inverse even EXIST? This isn't "the math is hard." This is PROOF that every non-zero element in a finite field 𝔽ₚ has a multiplicative inverse. We cover: Euclidean Algorithm (computing inverses) Fermat's Little Theorem (a^(p-1) ≡ 1 mod p) Why secp256k1 uses a prime field Group & field axioms (closure, identity, inverse) LibSecP implementation 92 minutes with @Rob Hamilton 📖 Study guide: ecc-study-guide.magicinternetmath.com/guide.pdf 🎧 Listen: fountain.fm/show/2gdYQCIV0eZEuYOW3nGJ Bitcoin isn't probably secure. It's PROVABLY secure. ⚡ Value-enabled.
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Phundamentals 0 months ago
Ever wonder about the math behind your Nostr keys? It's the same elliptic curve cryptography that secures Bitcoin. I made a 13-episode video series that builds the whole thing from scratch — modular arithmetic → finite fields → elliptic curves → secp256k1 → ECDSA → Schnorr → MuSig2. Every concept has interactive visualizations. No prerequisites beyond basic arithmetic. Your Nostr private key is a 256-bit scalar. Your public key is that scalar multiplied by a generator point on the secp256k1 curve. After watching this series, you'll understand exactly what that means and why it works. Free on YouTube: https://www.youtube.com/playlist?list=PLaAxhhFb7OVElRJ8Su_C2Xu2uA7WiBKKz Interactive course: #bitcoin #cryptography #education #ellipticcurves #secp256k1 #math #nostr
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Phundamentals 1 month ago
Learn the Math of Elliptic Curve Cryptography https://www.youtube.com/playlist?list=PLaAxhhFb7OVElRJ8Su_C2Xu2uA7WiBKKz This is a 13-part series that starts from absolute zero (what is modular arithmetic?) and builds all the way to MuSig2 multi-signatures — the same elliptic curve cryptography that secures every Bitcoin transaction. Every episode has interactive visualizations so you can see point addition, scalar multiplication, and signature verification happen in real time on the secp256k1 curve. Topics covered: - Modular arithmetic and finite fields - Elliptic curves and the group law - Point addition and scalar multiplication - The secp256k1 curve and its parameters - Private keys, public keys, and Bitcoin addresses - ECDSA signatures (signing and verification) - Schnorr signatures - MuSig2 multi-signatures No prerequisites — if you can add and multiply, you can follow along. Built this because when I was learning Bitcoin's cryptography, I couldn't find anything that was both rigorous and visual. The existing resources were either hand-wavy ("it's one-way math, trust us") or dense academic papers. This tries to be the thing in between. Free to watch. If you want to support the project:
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Phundamentals 1 month ago
Plebs: We’re sick because they told us to eat horrible food Pioneers: We’re sick because we’re being convinced satanic pedophile rulers are morally just The food problem is a psyop to occupy morons into thinking fixing that will change anything.
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Phundamentals 1 month ago
I’ve decided to make my Men of Mathematics Series freely available to both subscribers and non subscribers. Video will be available to subscribers only. Join my Pioneers Club by subscribing on Fountain. I promise it will be well worth it.
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Phundamentals 1 month ago
We continue to grow our phriend group. Had a great convo with Mark Goodwin - writer, journalist, and musician. We’re building steam towards the Sphere and the conference in April! If you want to come to the show with us on 4/30 - reach out
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Phundamentals 2 months ago
Magic Internet Math • The Genesis Episode: Reteaching Math as a Liberal Art https://www.fountain.fm/episode/TbqdHbb6wyTqJuBbFrtc The Magic Internet Math Academy has released its forst podcast episode with my cohost Rob Hamilton. We lay out the vision for the Math Academy and begin to discuss why math is so important to Bitcoiners.