Price vs power law
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Using Santostasi & Perrenod’s fitted direct price law and the published 0.302 dex residual spread.
Live monetary dashboard
Bitcoin power-law pulse check
A compact dashboard for comparing spot Bitcoin price and network hash rate with long-run power-law trend estimates. Values update in the browser from public data sources.
Hash rate vs fitted power law
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The hash-rate trend is fitted in-browser as log10(hash rate) vs log10(days since Genesis) from Mempool.space historical data.
Fetching live market and network data…
Method notes:
- Price model:
log10(USD/BTC) = -16.509 + 5.690 × log10(days since 2009-01-03). - Price percentile: current log-price residual mapped through the paper’s residual distribution, σ = 0.302 dex.
- Hash-rate model: ordinary least squares fit of historical hash-rate observations against Bitcoin network age in log-log space.
- Sources: CoinGecko simple price API; Mempool.space hash-rate API; Santostasi & Perrenod Bitcoin power-law paper.