Bitcoin's Power Law: Weak Structure, Strong Forecasts
A recent study examines Bitcoin's price behavior through the lens of power law statistics. The findings suggest that while Bitcoin's price may initially appear to follow a power law, the structure is weak and not robust across different time frames. The research indicates that alternative models may provide better forecasts for Bitcoin's price movements over longer horizons.
- ▪The study tests the claim that Bitcoin's price follows a power law from 2010 to 2026.
- ▪Results show that the distributional power law is rejected for UTXO balances and daily returns, favoring a lognormal distribution.
- ▪The fitted time-domain exponent varies significantly, indicating a lack of robustness in the power law specification.
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Record
| Original publisher | arXiv.org |
| Canonical URL | https://arxiv.org/abs/2605.21316 |
| Publication time | Thu, 21 May 2026 04:26:07 +0000 |
| Retrieval time | 2026-05-21T04:35:03.470Z |
| Last seen | 2026-05-21T04:35:03.470Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | xqYj4IQ9-xNm · 2 stories |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
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| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
Statistics > Applications arXiv:2605.21316 (stat) [Submitted on 20 May 2026] Title:Bitcoin's Power Law: Weak Structure, Strong Forecasts Authors:Carlos Baquero, Raquel Menezes View a PDF of the paper titled Bitcoin's Power Law: Weak Structure, Strong Forecasts, by Carlos Baquero and 1 other authors View PDF HTML (experimental) Abstract:Bitcoin's price has been described as following a power law (PL) in time, $P \sim t^{\beta}$ with $\hat\beta \approx 5.7$ over 2010-2026. We test this claim using the Clauset-Shalizi-Newman protocol applied to Bitcoin's tail-relevant distributional series, and develop three principled time-domain adaptations of the protocol.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at arXiv.org.