{"podcast":{"title":"Magic Internet Math","slug":"magic-internet-math-7652323","podcast_index_feed_id":7652323,"rss_url":"https://serve.podhome.fm/rss/7005772a-c12d-4a3f-b3cc-4c05833946e0","website_url":"https://fountain.fm/show/2gdYQCIV0eZEuYOW3nGJ","image_url":"https://assets.podhome.fm/68bd541f-7118-40ad-47f7-08dd33f04393/639136107548391507d7b8be.jpg","author":"Brian Hirschfield","episode_count":16,"summary":"This podcast exists to liberate Bitcoin holders from second-class citizenship by teaching the mathematics that underlies their convictions. We operate on a simple premise: if you don't understand the math of Bitcoin, you cannot truly know what you know—you're dependent on others' authority, forever vulnerable to doubt and manipulation. Mathematics is the primary pathway to conviction in your own reasoning. Through accessible, conversational exploration of Bitcoin's mathematical foundations—treating math as the liberal art it was always meant to be—we equip listeners with genuine understanding rather than borrowed beliefs. We reject the deliberate demoralization campaign that convinced generations they'r…","last_synced_at":"2026-09-28T20:21:51.807293+00:00","page_url":"https://stenobird.com/podcast/magic-internet-math-7652323"},"episode":{"title":"Vegas Recap and Elliptic Curve Point Operations","slug":"vegas-recap-and-elliptic-curve-point-operations","published_at":"2026-05-07T14:43:03+00:00","page_url":"https://stenobird.com/podcast/magic-internet-math-7652323/vegas-recap-and-elliptic-curve-point-operations","show_page_url":"https://stenobird.com/podcast/magic-internet-math-7652323","url":"https://serve.podhome.fm/episode/68bd541f-7118-40ad-47f7-08dd33f04393/639137601600590176cad3dac9-88f2-4f7b-9056-da1dadfc7961v1.mp3","audio_url":"https://serve.podhome.fm/episode/68bd541f-7118-40ad-47f7-08dd33f04393/639137601600590176cad3dac9-88f2-4f7b-9056-da1dadfc7961v1.mp3","summary":"The Study guide: https://ecc-study-guide.magicinternetmath.com/guide.pdf In this episode, I (Brian) finally introduce myself properly and Rob and I kick off with a Vegas + Bitcoin++ recap before diving back into Chapter 6 of our elliptic curve study guide. We talk small, dev‑focused conferences versus mega‑cons, the Hoover Dam power-plant tour, and the standout conversations around quantum risk, BitVM, and Binohash. We also share plans to bring a math‑track BitDevs to Philly and to run a hands‑on Codex32 workshop soon. Then we slow things down to the math. Using the curve over the reals as a warmup, we revisit the group axioms that make elliptic curves useful for Bitcoin: identity (the point at infinity), inverses (reflect across the x‑axis), closure, and associativity. We sketch point addition and doubling, why doubling accelerates scalar multiplication, and how this geometry-algebra fusion underpins private→public key derivation. Along the way we touch BIP‑68 relative timelocks, why secp256k1’s simple y^2=x^3+7 form is performant, and where post‑quantum work like FROST and research at ZeroSync/Localhost is heading. 'Magic Internet Math (site)': https://magicinternetmath.com/ 'bitcoin++ (developer conference series)': https://www.btcplusplus.dev/ 'Hoover Dam (Bureau of Reclamation)': https://www.usbr.gov/lc/hooverdam/aboutus.html 'BIP 68: Relative lock-time': https://bips.dev/68/ 'BitVM whitepaper (Robin Linus)': https://bitvm.org/bitvm.pdf 'Binohash: Transaction Introspection Without Softforks (paper)': https://robinlinus.com/binohash.pdf 'ZeroSync Association': https://zerosync.org/ 'StarkWare (STARK-based scaling)': https://starkware.co/ 'libsecp256k1 (Bitcoin Core library)': https://github.com/bitcoin-core/secp256k1 'Codex32 overview (Blockstream/Andrew Poelstra)'…","meta_description":"The Study guide: https://ecc-study-guide.magicinternetmath.com/guide.pdf In this episode, I (Brian) finally introduce myself properly and Rob and I kick o…","key_points":[],"chapters":[],"topics":[],"duration_seconds":5243,"processing_state":"not_requested","actions":[{"name":"request_transcript","method":"POST","url":"https://stenobird.com/v1/public/podcasts/magic-internet-math-7652323/episodes/vegas-recap-and-elliptic-curve-point-operations/transcription-requests","description":"Idempotently request low-priority transcript generation for this episode."},{"name":"read_markdown","method":"GET","url":"https://stenobird.com/podcast/magic-internet-math-7652323/vegas-recap-and-elliptic-curve-point-operations.md","description":"Read the agent-friendly Markdown representation of this episode resource."}]}}