Bitcoin Optech newsletter #389 is here:

• links to a paper on the study of payment channel networks
• summarizes changes to services/client software including an Electrum server for testing silent payments and a BDK WASM library
• Optech Newsletter #389 Podcast
  https://bitcoinops.org/en/newsletters/2026/01/23/

René Pickhardt posted to Delving Bitcoin about the publication of his new paper called “A Mathematical Theory of Payment Channel Network”...
https://bitcoinops.org/en/newsletters/2026/01/23/#a-mathematical-theory-of-payment-channel-networks

Changes to services and client software:

• Electrum server for testing silent payments
• BDK WASM library
  https://bitcoinops.org/en/newsletters/2026/01/23/#changes-to-services-and-client-software

Bitcoin Optech will host an audio recap discussion of this newsletter on http://Riverside.fm Tuesday at 17:30 UTC. Join us to discuss or ask questions!
https://riverside.com/studio/bitcoin-optech