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@bitschmidty bitschmidty commented Jan 16, 2026

@bitschmidty bitschmidty self-assigned this Jan 16, 2026
about the publication of his new [paper][channels paper] called "A Mathematical Theory of
Payment Channel Network". In the paper, Pickhardt groups several observations, gathered
during years of research, under a single geometric framework. In particular, the paper aims to
analyze common phenomena, such as channel depletion and capital innefficiencies of two-party
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analyze common phenomena, such as channel depletion and capital innefficiencies of two-party
analyze common phenomena, such as channel depletion and capital inefficiencies of two-party

Payment Channel Network". In the paper, Pickhardt groups several observations, gathered
during years of research, under a single geometric framework. In particular, the paper aims to
analyze common phenomena, such as channel depletion and capital innefficiencies of two-party
channels, assessing how they are inter-connected and why they are true.
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channels, assessing how they are inter-connected and why they are true.
channels, assessing how they are interconnected and why they are true.


- A model for feasible wealth distributions of users on the lightning network
given a channel graph;
- A formular for estimating the upper bound of payment bandwidth for payments;
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- A formular for estimating the upper bound of payment bandwidth for payments;
- A formula for estimating the upper bound of payment bandwidth for payments;


## News

- **A mathematical theory of payment channel networks**: René Pickhardt [posted][channels post]
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- **A mathematical theory of payment channel networks**: René Pickhardt [posted][channels post]
- **A mathematical theory of payment channel networks**: René Pickhardt [posted][channels post] to Delving Bitcoin

- The conclusion that two-party channels put strong constraints to the ability of liquidity to
flow between peers of the network.


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## News

- **A mathematical theory of payment channel networks**: René Pickhardt [posted][channels post]
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Only a quick review here, but not sure if https://bitcoinops.org/en/podcast/2024/12/12/ is applicable.

Or perhaps a better resource is https://bitcoinops.org/en/newsletters/2024/12/13/#insights-into-channel-depletion that covers other items and references the deep dive

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3 participants