Can AI Actually Mine Bitcoin Better in 2026?

Deep research · Bitcoin · artificial intelligence · hardware

Bitcoin × AI × GPU in 2026: Can Artificial Intelligence Actually Improve Your Chance of Mining a Block?

A technical investigation of what AI can optimise, what it cannot predict, why GPUs lost the SHA-256 race to ASICs, what the newest 2026 research says, and why a tiny home miner can still occasionally win a full Bitcoin block without overturning the mathematics of probability.

Executive summary

The most important conclusion is counter-intuitive: AI cannot presently make an individual Bitcoin SHA-256 hash intrinsically more likely to win. Under the standard cryptographic model, each previously untested candidate header is effectively a fresh draw from a 256-bit output space. An adaptive neural network, reinforcement-learning agent or GPU search policy therefore receives the same success probability per independent valid hash unless it discovers a genuine cryptanalytic weakness in SHA-256. No verified 2024–September 2026 paper located for this review demonstrates such a Bitcoin nonce-prediction breakthrough. Contemporary research instead continues to treat proof-of-work discovery as brute-force search, while specialised ASICs severely outperform commercial CPUs and GPUs for Bitcoin's mining workload. [R2] citeturn4view0

That does not make AI irrelevant. AI can improve the system around the hashes: ASIC voltage/frequency tuning, cooling control, fault prediction, electricity-price scheduling, curtailment decisions, pool/relay selection, stale-share reduction, mempool-aware strategy analysis and chip-design exploration. Those improvements can raise effective hashes delivered per pound, dollar or kilowatt-hour, increase uptime, or reduce the probability that already-computed work becomes stale. In that indirect sense, AI can improve the probability of winning for a fixed operating budget, even though it does not alter the cryptographic probability attached to a single hash.

The 2026 literature reinforces this distinction. Barucca, Campajola and Xu model how hash-power concentration, competition and propagation delay affect proof-of-work resource efficiency, including fork-related waste. Basu's empirical study of Pearl's GPU-oriented proof-of-useful-work system finds a sharp gap between advertised AI usefulness and actual computation. Pass provides a theoretical economic model in which useful computation such as machine-learning inference and blockchain security can coexist under particular market conditions. Doger and Ulukus analyse a new optimal block-withholding strategy under pay-per-share mining. Meanwhile, the broad 2026 Crypto × AI, AI × Crypto survey places reinforcement learning, adaptive protocol control and AI-assisted blockchain analysis firmly inside the research landscape. [R2] [R3] [R4] [R5] [R6] citeturn4view0turn20view3turn14view0turn14view1turn21view2

Home mining is also genuinely possible in 2026, but it is closer to an actuarial lottery than a predictable income stream. In July, a hobby-scale miner using a single Bitaxe at roughly 1 TH/s found Bitcoin block #957,382 through Public Pool and received the block reward. The block itself is independently visible in a public block explorer. In April, an approximately 230 TH/s solo miner connected to CKPool found block #943,411; CKPool's developer estimated the miner's daily odds at about one in 28,000. [R13] [R14] [R15] citeturn20view0turn22view0turn21view1

Important verification boundary. The July Bitaxe event verifies that a very small, low-power class of miner can win. It does not verify the winner's household electricity tariff, exact room/location, identity or utility bill. Likewise, the 230 TH/s CKPool installation is consistent with a small stack of home-scale ASICs, but the report does not independently establish that it was physically inside an ordinary residence. I found no high-quality 2026 case report that simultaneously verifies a home address, the exact miner, the winning block and the owner's low electricity tariff. Claims that add an undocumented “cheap home electricity” detail should therefore be treated cautiously. citeturn20view0turn21view0
No
verified AI nonce shortcut

No 2024–Sep 2026 evidence located that AI predicts winning Bitcoin SHA-256d outputs better than brute force.

≈1 TH/s
verified hobby-scale winner

A single Bitaxe was reported to have solved block #957,382 through Public Pool in July 2026.

1 in ≈6.94m/day
illustrative 1 TH/s odds

At an assumed 1 ZH/s network hashrate and 144 blocks/day; not a guarantee and not a constant network parameter.

Bitcoin's mining substrate: what can and cannot be optimised

Proof-of-work is a probability engine, not a puzzle with semantic clues

Bitcoin miners repeatedly construct candidate block headers and search for a hash below the network's current target. The difficulty is periodically adjusted so that the network tends towards a roughly ten-minute block interval. The modern production environment is dominated by application-specific integrated circuits because dedicated SHA-256 hardware is vastly more efficient than general-purpose CPUs and GPUs for the relevant operation. Barucca, Campajola and Xu explicitly describe the proof-of-work search as brute force and note the performance advantage of ASICs over CPUs and GPUs. [R1] [R2] citeturn4view0

This distinction matters because contemporary GPUs are extraordinary matrix-computation engines. NVIDIA's GeForce RTX 5090, for example, has specialised tensor hardware for AI and an official total graphics power of 575 W. Those properties make it useful for neural-network training or inference, but they do not magically translate into competitive Bitcoin SHA-256 mining. NVIDIA does not market the RTX 5090 as a Bitcoin miner; in contrast, modern Bitcoin ASIC vendors specify performance directly in TH/s and energy efficiency in J/TH. [R19] citeturn18search0

Recommended AI and Bitcoin mining architecture AI and GPU compute sits in a control plane around ASIC Bitcoin mining rather than replacing the ASIC hashing pipeline. Telemetry temperature · power errors · shares · prices AI control plane thermal MPC DVFS/autotuning price / fault forecasts CPU/NPU normally enough at home SHA-256 ASIC billions/trillions of candidate hashes Bitcoin pool / node / P2P network Optional GPU training / farm-scale inference
Figure: the useful hybrid architecture. In an evidence-based Bitcoin × AI system, ASICs remain on the critical SHA-256 hashing path. AI acts as a supervisory control layer. A GPU is optional and is more plausible for centralised model training or inference across a large mining fleet than beside a 15–140 W hobby device.

A simple invariance result explains why “AI nonce prediction” is the wrong target

Let \(X\) be a previously untested valid candidate block header and let \(h(X)\) denote its proof-of-work hash. If unseen outputs are computationally indistinguishable from uniformly distributed 256-bit values, the probability of satisfying target \(T\) is

\[ p = \Pr[h(X)\leq T] = \frac{T+1}{2^{256}}. \]

Now let an AI system adaptively choose \(X_1,X_2,\ldots,X_n\), using all previously observed failed hashes. So long as each new, untested hash remains pseudorandom conditional on the history, the conditional success probability remains \(p\). The probability of at least one successful result after \(n\) independent trials is

\[ \Pr(\text{at least one success}) = 1-(1-p)^n. \]

An adaptive policy can therefore help only by changing something economically or physically meaningful: increasing \(n\), reducing the cost per trial, preventing invalid work, increasing uptime or lowering stale-block risk. To outperform this bound per hash, a model would need to exploit a statistically useful weakness in SHA-256 rather than merely learn mining telemetry. No such practical Bitcoin mining result was found in the 2024–2026 literature reviewed here. Contemporary theoretical work continues to state unpredictability and brute-force search as core properties of the proof-of-work puzzle. [R4] [R2] citeturn14view0turn4view0

GPU versus ASIC: the comparison that matters in 2026

Device / class Primary architecture Published power Published Bitcoin hashrate Bitcoin mining role in 2026 AI role
NVIDIA GeForce RTX 5090 General-purpose GPU with tensor cores 575 W TGP Not marketed by NVIDIA as a Bitcoin SHA-256 metric Economically inappropriate for competitive SHA-256 mining compared with ASICs Model training, inference, simulation, optimisation
Canaan Avalon Nano 3S Home SHA-256 ASIC 140 W maximum 6 TH/s Quiet home / educational / solo or pool mining External lightweight controller is sufficient
FutureBit Apollo III Home SHA-256 ASIC + node controller Vendor states 50–400 W dynamic range Up to approximately 18 TH/s; vendor states approximately 10–12 TH/s eco Higher-end home mining and sovereign node use Potential host for local control inference; dedicated GPU generally unnecessary
Canaan Avalon A15Pro 218T Industrial SHA-256 ASIC 3,662 W 218 TH/s Production mining Farm-level supervisory optimisation

Hardware values are manufacturer specifications, not independent laboratory benchmarks. Canaan lists the Nano 3S at 6 TH/s and 140 W and the A15Pro 218T at 218 TH/s, 3,662 W and 16.8 J/TH. FutureBit advertises the Apollo III at up to 18 TH/s with a wide power range and approximately 13 W/TH at its most efficient settings. NVIDIA lists the RTX 5090 at 575 W TGP. [R16] [R17] [R18] [R19] citeturn19search0turn20image0turn19search13turn18search0

Energy efficiency of selected home and industrial Bitcoin ASICs Horizontal bars compare joules per terahash. Lower is better. GPU is excluded because no comparable official Bitcoin metric is published. Selected ASIC energy efficiency J/TH · lower is better · manufacturer specifications FutureBit Apollo III ≈13 J/TH vendor best-case Canaan A15Pro 218T 16.8 J/TH Canaan Nano 3S ≈23.3 J/TH derived RTX 5090: omitted from J/TH chart because NVIDIA publishes no comparable Bitcoin SHA-256 mining specification.
Figure: ASIC efficiency, not GPU FLOPS, is the economically relevant Bitcoin metric. Nano 3S efficiency is derived from 140 W / 6 TH/s ≈ 23.3 J/TH. Manufacturer claims can differ from wall-power measurements under real temperature, voltage and firmware conditions. citeturn19search0turn19search13turn20image0

What the 2024–2026 literature actually says

The direct scholarly intersection “AI that makes Bitcoin SHA-256 hashing itself more likely to succeed” remains surprisingly sparse. The strongest recent work instead falls into four neighbouring categories: proof-of-work resource efficiency, AI-assisted mining-strategy analysis, proof-of-useful-work, and adaptive blockchain/compute systems. This is an important negative result for anyone expecting a 2026 paper that shows a neural network guessing winning Bitcoin nonces.

timeline
    title Bitcoin × AI × mining research, 2024–2026
    2024 : Majumder, Aravena & Xie — flexible cryptocurrency-mining loads in electricity markets
         : Sarenche et al. preprint — volatile block rewards and RL-based mining strategy analysis
    2025 : Sarenche et al. — ACM CCS publication
         : Sakurai & Shudo — blockchain forks and "rich get richer" mining effect
         : Cambridge Digital Mining Industry Report
    2026 : Barucca, Campajola & Xu — PNAS Nexus propagation, concentration and resource efficiency
         : Basu — empirical proof-of-useful-work / AI usefulness gap
         : Pass — economics of proof-of-useful-work and ML inference
         : Allen et al. — Crypto × AI, AI × Crypto survey
         : Doger & Ulukus — All-out block-withholding attack under PPS
         : Verified hobby-scale Bitaxe solo block
    

The key papers and what each one actually proves

Study Status Bitcoin / AI relevance Main finding relevant to this article What it does not establish
Barucca, Campajola & Xu (2026), PNAS Nexus Journal article Direct Bitcoin / distributed-ledger mining economics Models interaction between power concentration, competition and propagation; derives relationships involving miner concentration and conflicting blocks; reports a large model-based resource-waste estimate. No AI nonce predictor; no GPU advantage over ASIC SHA-256.
Basu (2026), The Usefulness Gap in Proof-of-Useful-Work arXiv preprint Direct GPU × blockchain × claimed AI compute Empirically tests Pearl's cuPOW network; reports that a network marketed as doing AI inference performed no useful inference in the measured implementation, despite inference-capable hardware. Not Bitcoin and not evidence that GPU mining improves Bitcoin.
Pass (2026), The Economics of Proof-of-Useful-Work arXiv preprint PoW economics × ML inference Develops equilibrium conditions for pure mining, useful compute and “duplex” work that simultaneously generates security and economically useful output. Does not implement PoUW in Bitcoin or prove a practical consensus migration.
Allen et al. (2026), Crypto × AI, AI × Crypto: A Survey arXiv survey Broad AI–blockchain interaction Surveys AI-assisted analytics, constructive protocol algorithms, consensus adaptation, decentralised AI infrastructure and verifiable AI execution. Does not show AI predicts Bitcoin hashes.
Doger & Ulukus (2026), All-out Attack arXiv preprint Bitcoin-style pool incentive/security research Shows an optimal block-withholding strategy under pay-per-share in their model, with all attacker hashpower directed to the victim pool and full proofs withheld. Not an honest-mining optimisation and not a recommended strategy.
Sezal (2026) Journal article Bitcoin energy economics Reports a long-run relationship between Bitcoin price and energy consumption in the study's econometric specification and causality from price toward energy demand. No device-level AI optimisation.
Sarenche et al. (2025), ACM CCS Peer-reviewed conference Direct AI/RL applied to Bitcoin mining strategy Uses an A3C reinforcement-learning implementation to investigate mining strategies under volatile transaction-fee and mempool conditions. The studied RL is predominantly a security/adversarial-strategy analysis, not a SHA-256 accelerator.
Sakurai & Shudo (2025) arXiv preprint Propagation/forks and mining fairness Provides theoretical analysis showing a “rich get richer” effect associated with unintentional forks under its propagation assumptions. No AI hashing shortcut.
Majumder, Aravena & Xie (2024) Preprint / conference-associated Flexible mining loads in electricity markets Examines large flexible cryptocurrency-mining consumers as electricity-market participants. Not an AI mining paper, but directly relevant to AI-driven load scheduling.

The 2026 PNAS result: propagation and concentration are economically meaningful

Barucca, Campajola and Xu's 2026 PNAS Nexus paper is especially important because it shifts attention from “how fast can I calculate hashes?” to how efficiently does the network turn mining effort into canonical blocks? The authors model PoW discovery as a stochastic process, link concentration measures such as the Herfindahl–Hirschman Index to resource efficiency, and account for propagation delay and competing blocks. Their abstract reports an estimated roughly 16,000 MW of resource expenditure associated with waste in the most recent year of their analysis under the paper's model. That number should be read as a model-derived result, not as a direct electricity-meter measurement. [R2] citeturn4view0turn16news13

This finding gives AI a plausible optimisation target: latency prediction, relay selection, block propagation, topology-aware networking and stale-work control. Such systems cannot change the probability that a particular hash is below \(T\), but they may reduce the probability that valuable work is economically lost because another block reached the network first.

The most direct 2026 GPU–AI mining experiment is actually a warning

Basu's June 2026 empirical analysis of Pearl's cuPOW protocol is unusually relevant because it studies a deployed GPU-heavy system marketed as simultaneously securing a blockchain and performing AI inference. The paper reports a roughly 24 EH/s network represented as approximately 320,000 GPU-equivalents and an estimated 112 MW, yet finds “zero useful AI computation” in the measured system. The dominant mining software contained no inference code; the author also reports successfully submitting accepted work generated through random matrices on NVIDIA, AMD, CPU and Apple Silicon hardware. [R3] citeturn20view3

The lesson is not that proof-of-useful-work is impossible. It is that verifying useful computation without opening a cheap cheating path is difficult. Pass's 2026 theoretical paper explores a more optimistic economic possibility: compute can be split among pure mining, pure useful work such as machine-learning inference, and “duplex” computation that produces both security and useful output. The paper identifies economic regimes in which useful work can coexist with blockchain security, but it is an equilibrium model rather than empirical proof of a secure Bitcoin-compatible implementation. [R4] citeturn14view0

The closest thing to “AI optimises Bitcoin mining strategy” is reinforcement-learning security research

Sarenche, Aghabagherloo, Nikova and Preneel's work, published at ACM CCS 2025, uses an Asynchronous Advantage Actor-Critic (A3C) tool to analyse mining behaviour under volatile block rewards and realistic mempool patterns. Their results concern incentives, selfish mining, undercutting and transaction-fee dynamics rather than discovering a more favourable nonce sequence. That difference is crucial: machine learning can search a strategy space because strategy has exploitable structure; cryptographic hash outputs are deliberately designed not to. [R8] citeturn15academia14turn15search0turn15search11

Explicit negative findings from the literature search

Question searched Result through 25 September 2026 Closest evidence found
Peer-reviewed 2026 paper showing an AI model predicts winning Bitcoin nonces Not found Recent work still models PoW solutions as unpredictable brute-force search.
2026 paper showing a general-purpose GPU beats modern SHA-256 ASICs on Bitcoin energy efficiency Not found Current research and manufacturer data point in the opposite direction: Bitcoin SHA-256 remains ASIC-specialised.
2026 paper proving AI changes the per-hash Bitcoin success probability without cryptanalysis Not found AI applications focus on strategy, control, analytics, markets and useful-work designs.
2026 work connecting GPUs, AI and blockchain mining Yes Basu's empirical PoUW paper and Pass's economic PoUW model are direct examples, although neither is Bitcoin SHA-256 optimisation.
Recent RL applied to Bitcoin mining decisions Yes Sarenche et al.'s A3C-based volatile-reward mining research.

What really happened to home and solo miners in 2026

The tiny Bitaxe that found block #957,382

The most striking 2026 case is block #957,382. Cointelegraph reported on 14 July that a solo miner using a single Bitaxe, a budget device operating at roughly 1 TH/s, had found the block through Public Pool. The report described the device as costing under US$200 and emphasised the tiny hashrate relative to the global network. The block can be independently inspected in mempool.space's block explorer. [R13] [R14] citeturn20view0turn22view0

The event is statistically extraordinary but mathematically ordinary. A 1 TH/s miner does not receive a better hash target because it is small, lucky or decentralised. It simply receives an enormous sequence of independent opportunities, and on rare occasions one tiny miner lands in the extreme tail of the distribution before industrial competitors do.

Illustrative Bitaxe Gamma home mining setup on a desk
Illustrative home-scale Bitaxe setup — not a photograph of the block #957,382 winner. Retailer image: MineBlock, “Bitaxe Gamma Miner”. Source / attribution. citeturn20image1
Close-up example of an open-source Bitaxe Gamma Bitcoin miner
Example Bitaxe-class hardware. This is another illustrative product image and is not evidence about the identity or physical setup of the July 2026 winner. Image attribution: NerdMiner Store. citeturn20image3

The 230 TH/s CKPool winner

A second well-documented event occurred on 2 April 2026. CoinDesk reported that a solo miner with roughly 230 TH/s validated block #943,411 through solo.ckpool.org, earning 3.139 BTC including fees. CKPool developer Con Kolivas described the miner's probability as approximately one chance in 28,000 per day. CoinDesk estimated the broader network at roughly 1 ZH/s at that time and described 230 TH/s as consistent with a small stack of home-scale ASICs rather than an industrial operation. [R15] citeturn21view1turn21view0

“Consistent with home-scale” is not the same as “verified residential home”. The miner was anonymous, and the public evidence does not establish a household electricity price. That distinction matters because online retellings often transform “small solo miner” into “ordinary person mining on cheap home electricity” even when the second statement has never been documented.

What is actually verified?

2026 event Hashrate / setup Method Result Home status Electricity tariff verified?
Block #957,382, July 2026 Single Bitaxe, about 1 TH/s according to Public Pool reporting Solo mining via Public Pool Full block discovery; 3.125 BTC subsidy plus transaction fees Hobby/home-scale hardware verified No
Block #943,411, April 2026 Approximately 230 TH/s solo.ckpool.org 3.139 BTC reported Home-scale interpretation, location not verified No
February 2026 solo win cited by CoinDesk Approximately 1 PH/s for a few hours Rented hashrate pointed at CKPool Approximately US$200,000 reward reported Not a home-hardware case Not applicable

Cointelegraph reported that the July event was the twelfth hobby-level solo block of 2026 by that point and cited a solo-miner data aggregator for broader statistics. That aggregate should be treated as secondary evidence; the strongest part of the July case is the combination of the reported Public Pool source and an independently visible on-chain block. citeturn20view0

So, is winning Bitcoin at home really possible?

Yes, in the strict probabilistic sense. The 2026 Bitaxe event demonstrates it. No, if “possible” is interpreted as a reliable business plan based on receiving full solo blocks. A tiny miner's expected waiting time can be thousands of years even though its probability on any particular day is non-zero. A sufficiently large population of hobby miners also makes occasional astonishing wins inevitable: rare individual events are less rare when millions of miner-days are observed.

A solo block is evidence that the tail of the probability distribution exists. It is not evidence that the expected waiting time disappeared.

The mathematics of winning, electricity and ROI

Block-finding as a Poisson process

Let \(H_m\) be the miner's effective hashrate in hashes per second, \(D\) the Bitcoin difficulty and \(2^{32}\) the standard approximation connecting difficulty to expected hashes. A common approximation for a miner's block-discovery intensity is

\[ \lambda_m \approx \frac{H_m}{D\,2^{32}}\quad\text{blocks/second}. \]

If the effective network hashrate is \(H_N\) and the average network block interval is approximately \(\tau=600\) seconds, an intuitive equivalent approximation is

\[ \lambda_m \approx \frac{H_m/H_N}{600}. \]

Under the usual independent-trial approximation, the number of blocks a miner finds during time \(t\) is approximately Poisson distributed:

\[ N_t \sim \operatorname{Poisson}(\mu),\qquad \mu = \lambda_m t. \]

The probability of finding at least one block is therefore

\[ P(N_t\geq1)=1-e^{-\lambda_m t}. \]

and the expected waiting time is

\[ \mathbb{E}[T]=\frac{1}{\lambda_m} \approx 600\frac{H_N}{H_m}. \]

These equations also explain why adding AI to a miner cannot change the odds unless it changes effective \(H_m\), uptime, valid-work rate or the amount of money/energy available for future hashes.

A 1 TH/s miner at a 1 ZH/s network

Take an illustrative network hashrate of \(H_N=10^{21}\) H/s, or 1 ZH/s. CoinDesk reported approximately this network scale during the April 2026 CKPool case, although network hashrate varies continuously and the following numbers should not be interpreted as September 2026 live measurements. citeturn21view1

For \(H_m=1\) TH/s \(=10^{12}\) H/s:

\[ q=\frac{H_m}{H_N}=10^{-9}. \] \[ \mu_{\text{day}}\approx144\times10^{-9}=1.44\times10^{-7}. \] \[ P_{\text{day}}\approx1-e^{-1.44\times10^{-7}} \approx1.44\times10^{-7}, \] which is approximately one chance in \(6.94\) million per day. \[ \mathbb{E}[T] \approx 600\times10^9\text{ s} \approx 19,013\text{ years}. \]

A 19,000-year expected waiting time does not prohibit a block tomorrow. The exponential waiting-time distribution has no minimum. That is exactly why the July 2026 Bitaxe win is possible without implying any breakdown of probability theory.

The April 230 TH/s result provides a useful sanity check

At 230 TH/s and the same illustrative 1 ZH/s network:

\[ q=2.3\times10^{-7}, \] \[ \mu_{\text{day}}\approx144(2.3\times10^{-7}) =3.312\times10^{-5}, \] \[ P_{\text{day}} \approx3.312\times10^{-5} \approx\frac{1}{30,194}. \]

That back-of-the-envelope estimate is close to CKPool developer Con Kolivas's reported one-in-28,000 daily estimate; the difference is easily explained by using the actual network difficulty/hashrate rather than the rounded 1 ZH/s assumption. citeturn21view1

Expected solo block waiting times under a one zetahash network assumption Log-scale bars show expected years to one block for several miner hashrates. Expected solo waiting time Illustrative HN = 1 ZH/s · mean, not a deadline · log10(years) bar length 1 TH/s ≈19,013 years 6 TH/s ≈3,169 years 12 TH/s ≈1,584 years 37.5 TH/s ≈507 years 230 TH/s ≈82.7 years 1 PH/s ≈19.0 years A miner can win much earlier or much later than the mean. Difficulty and network hashrate also change over time.
Figure: why solo home mining feels like a lottery. Expected wait falls linearly with hashrate, but individual outcomes remain highly variable.

Hashrate, power and energy efficiency

Mining hardware efficiency is conventionally expressed in joules per terahash. If a miner operates at \(H_{\mathrm{TH}}\) TH/s and efficiency \(\eta\) J/TH, electrical power is approximately

\[ P_{\mathrm{W}}=H_{\mathrm{TH}}\eta. \]

Daily electricity consumption is

\[ E_{\mathrm{day}}=\frac{24P_{\mathrm{W}}}{1000}\quad \text{kWh/day}, \]

and electricity cost at tariff \(c_e\) is

\[ C_{\mathrm{elec,day}}=c_e E_{\mathrm{day}}. \]

A 6 TH/s, 140 W Avalon Nano 3S therefore consumes at most about \(3.36\) kWh/day at its published maximum-power specification. Canaan lists the hardware at 6 TH/s, 140 W and 33–40 dB. [R16] citeturn19search0

Expected mining revenue

Let \(B\) be the block subsidy in BTC, \(\bar F\) expected fees per block, \(P_{\mathrm{BTC}}\) the fiat BTC price and \(f_p\) any effective pool fee. A simple expected daily gross revenue model is

\[ R_{\mathrm{BTC/day}} \approx144\frac{H_m}{H_N}(B+\bar F), \] \[ R_{\mathrm{fiat/day}} \approx P_{\mathrm{BTC}} \times144\frac{H_m}{H_N}(B+\bar F)(1-f_p). \]

During the post-2024-halving era represented by the 2026 case studies, the protocol subsidy is 3.125 BTC per block, while fees vary block by block. The July report described the Bitaxe winner as securing the 3.125 BTC subsidy; the block explorer provides the corresponding on-chain block record. citeturn20view0turn22view0

Break-even electricity price

Ignoring capital expenditure, maintenance and taxes, the break-even electricity tariff is

\[ c_e^* =\frac{R_{\mathrm{fiat/day}}} {24P_{\mathrm{kW}}}. \]

Consider a deliberately illustrative scenario: network hashrate 1 ZH/s, BTC price US$85,000, 3.125 BTC subsidy and zero fees. These are modelling assumptions, not a profitability forecast.

Illustrative miner Hashrate Power assumption Expected gross/day Energy/day Approx. electricity-only break-even
Bitaxe-like tiny miner 1 TH/s 15 W illustrative ≈US$0.038 0.36 kWh ≈US$0.106/kWh
Avalon Nano 3S 6 TH/s 140 W published maximum ≈US$0.230 3.36 kWh ≈US$0.068/kWh
12 TH/s efficient home ASIC scenario 12 TH/s 180 W, assuming 15 J/TH ≈US$0.459 4.32 kWh ≈US$0.106/kWh
A15Pro 218T 218 TH/s 3,662 W published ≈US$8.34 87.89 kWh ≈US$0.095/kWh

These numbers deliberately exclude transaction fees, changes in difficulty, changes in network hashrate, downtime, pool fees, taxes, cooling overhead, purchase cost and resale value. They illustrate the algebra, not current investment returns. Published hardware inputs come from the manufacturers. citeturn19search0turn19search13

Why expected ROI and solo realised ROI are radically different

Expected operating profit may be written as

\[ \Pi_{\mathrm{day}} = \mathbb{E}[R_{\mathrm{day}}] - C_{\mathrm{electricity}} - C_{\mathrm{pool}} - C_{\mathrm{cooling}} - C_{\mathrm{maintenance}}. \]

A naive capital payback estimate is

\[ T_{\mathrm{payback}} = \frac{C_{\mathrm{capex}}}{\Pi_{\mathrm{day}}}, \]

but this expression can be badly misleading for solo mining. If the expected annual block count \(\mu\ll1\), the standard deviation of a Poisson count is \(\sqrt{\mu}\), and the coefficient of variation is

\[ \mathrm{CV}=\frac{1}{\sqrt{\mu}}. \]

For a tiny miner, that number is enormous. Pool mining exchanges some fees and counterparty/payout structure for much lower income variance. It does not create extra expected hashes; it aggregates many miners' stochastic output and redistributes revenue according to the pool's payout rules.

Heat reuse changes household economics, but not cryptographic odds

Almost all electrical power consumed by a miner ultimately becomes heat inside the local environment. In a place where that heat is genuinely useful, one can include a heat credit:

\[ C_{\mathrm{effective}} = C_{\mathrm{electricity}} - v_h Q_{\mathrm{useful}}, \]

where \(v_h\) is the avoided cost of alternative heating and \(Q_{\mathrm{useful}}\) is the useful recovered thermal energy. The economics depend strongly on what heating technology is displaced: replacing resistance heat is economically different from displacing an efficient heat pump. Heat reuse can make a home miner more rational in winter, but it still does not alter \(p\) for an individual hash.

Where AI and GPUs genuinely help Bitcoin mining

Dynamic voltage and frequency tuning

Every physical ASIC operates under manufacturing variation, ambient-temperature changes, ageing and power-supply constraints. The economically optimal frequency and voltage are therefore not always the factory's nominal maximum. An AI-assisted controller can model

\[ H_{\mathrm{valid}} = g(f,V,T_{\mathrm{ambient}},T_{\mathrm{chip}},e), \]

where \(f\) is clock frequency, \(V\) voltage and \(e\) an observed error variable. The control target is not “maximum raw TH/s” but something closer to maximum net expected revenue subject to thermal and reliability constraints.

A Bayesian optimiser, contextual bandit or constrained model-predictive controller can explore safe operating profiles and identify a miner-specific efficiency frontier. That can increase the number of valid hashes that an electricity budget buys without making any particular hash more lucky.

Thermal control and predictive cooling

Thermal conditions influence stability, fan/pump energy, noise, component wear and the ability to sustain clocks. A predictive controller can forecast temperatures several minutes ahead from ambient conditions, airflow, previous power and workload, then choose frequency and cooling actions before a thermal limit is reached.

This is one of the clearest places for machine learning because thermal systems have temporal structure that SHA outputs do not. Historical sensor streams contain correlations; winning nonce labels should not.

Predictive maintenance and anomaly detection

Features such as chip temperature, board voltage, PSU power, fan RPM, hardware-error rate, rejected shares and per-chain hashrate form a multivariate time series. An autoencoder, temporal convolutional network, transformer or even a simpler robust statistical detector can flag deviations before a complete board failure. The economic gain is increased uptime \(u\), which changes effective hashrate:

\[ H_{\mathrm{effective}} = H_{\mathrm{nameplate}} \times u \times(1-r_{\mathrm{invalid}}) \times(1-r_{\mathrm{stale}}). \]

Improving any of those multiplicative factors improves cumulative block probability over a fixed calendar period. That is a real “better chance of winning”, but it comes from delivering more valid work, not predicting the hash.

Electricity-price and curtailment scheduling

Cryptocurrency mining's highly flexible load has already attracted econometric research because miners can adjust consumption much faster than many industrial processes. Majumder, Aravena and Xie's 2024 work specifically examines large flexible cryptocurrency-mining consumers in electricity markets. [R10] citeturn22view2

AI can forecast electricity prices, ambient temperature, grid-curtailment requests and expected mining revenue. A scheduler then operates when expected contribution margin is positive. Turning the miner off obviously reduces hashes during the off-period, but if the operator has a fixed monetary budget, cheaper energy lets that budget purchase more total hash-hours later.

Network latency, stale work and relay selection

The 2026 PNAS work gives an unusually strong academic reason to take network propagation seriously: miner competition and propagation delay are coupled to conflicting-block formation and resource efficiency. An AI-assisted network layer could estimate per-route latency, detect degraded peers, select lower-latency relays or pool endpoints and anticipate job changes. Again, this improves effective mining rather than SHA-256 itself. [R2] citeturn4view0

Mempool-aware strategy and fee optimisation

Bitcoin block rewards combine subsidy and transaction fees. The 2025 ACM CCS research by Sarenche and colleagues shows that realistic mempool statistics matter when analysing strategic mining under volatile rewards, and the authors employ an A3C reinforcement-learning framework to explore strategy. This supports AI as a tool for analysing fee environments and mining incentives, but it also raises a security caution: optimising a miner's economic strategy can expose adversarial strategies rather than simply make honest mining more efficient. [R8] citeturn15search0turn15academia14

Why a 575 W GPU beside a tiny home ASIC is usually the wrong architecture

A full-load RTX 5090's official 575 W TGP is more than four times the Avalon Nano 3S's published 140 W maximum. Running such a GPU continuously merely to tune a 6 TH/s home miner could consume more electricity than the hashing device it is supposedly optimising. At home scale, a CPU, embedded controller or small NPU is usually the rational inference target. At farm scale, however, one GPU server can amortise inference across hundreds or thousands of ASICs. [R19] [R16] citeturn18search0turn19search0

flowchart LR
    A[Electricity tariff / grid signal] --> F[Forecast layer]
    B[Ambient temperature] --> F
    C[ASIC telemetry] --> M[State estimator]
    D[Pool / relay latency] --> M
    E[BTC reward and fee data] --> F

    F --> O[Constrained optimiser]
    M --> O

    O --> V[Voltage / frequency]
    O --> T[Fan / pump control]
    O --> S[Run / curtail schedule]
    O --> R[Pool / relay path]

    V --> H[ASIC hashboards]
    T --> H
    S --> H
    R --> N[Bitcoin network]

    H --> N
    H --> C
    N --> D
    

Could GPUs help redesign the ASIC itself?

Yes, but this is a very different interpretation of “GPU improves Bitcoin mining”. GPU-accelerated ML can be used offline for design-space exploration: placement, timing prediction, voltage-frequency modelling, thermal simulation and surrogate optimisation of a future SHA-256 ASIC. Any eventual improvement appears in the fabricated silicon's J/TH, not as a GPU predicting Bitcoin blocks in real time.

Proof-of-useful-work is intellectually attractive but cannot simply be dropped into Bitcoin

A consensus system in which the expensive computation also performs AI inference would provide a much tighter conceptual connection between GPU compute and blockchain security. Pass's 2026 model explains economic conditions under which such “duplex” work could be viable. But Bitcoin's current consensus validates a specific proof-of-work condition; replacing it with useful AI computation would be a consensus change, not an optimisation setting. [R4] citeturn14view0

Basu's 2026 measurements show the central implementation problem: a system can claim to reward useful AI work while its verification mechanism actually permits computational work that is not useful inference. Any proposed AI-proof-of-work design must therefore establish soundness, low-cost verification, resistance to shortcutting, deterministic consensus semantics and adequate supply of useful jobs. [R3] citeturn20view3

Proposed algorithms and an experimental research programme

Proposal: SafeHashControl, a constrained AI supervisory controller

The most defensible new algorithm is not a nonce predictor. It is a safe multi-objective controller sitting above a fleet of ASICs.

Define miner state

\[ s_t = \{ T^{chip}_t,\, T^{ambient}_t,\, V_t,\, f_t,\, H^{valid}_t,\, r^{error}_t,\, r^{stale}_t,\, P_t,\, c_t,\, L_t \}, \]

where \(L_t\) contains network latency observations. Let the action be

\[ a_t= \{ f_{t+1},V_{t+1}, \text{fan}_{t+1}, \text{pool/relay}_{t+1}, x_{t+1} \}, \]

with \(x\in[0,1]\) describing load or curtailment.

A practical reward function is

\[ r_t = \underbrace{ P_{\mathrm{BTC},t}(B+F_t) \frac{H_{\mathrm{effective},t}}{H_{N,t}} \frac{\Delta t}{600} }_{\text{expected mining value}} - \underbrace{c_t P_t\Delta t}_{\text{electricity}} - \lambda_T\phi(T_t) - \lambda_E r^{error}_t - \lambda_S r^{stale}_t - \lambda_W w_t, \]

where \(\phi(T)\) penalises operation near unsafe thermal limits and \(w_t\) approximates accelerated wear. This formulation directly optimises economics without pretending that the model can predict SHA-256 outputs.

SafeHashControl

Inputs:
    telemetry s_t
    safe hardware envelope A_safe
    electricity-price forecast
    ambient-temperature forecast
    network / stale-share telemetry

Loop every control interval:

    1. Read miner state s_t.

    2. Reject any candidate action outside:
           voltage limits
           temperature limits
           PSU limits
           fan/pump limits
           firmware-defined safe clocks

    3. Update a surrogate model:
           (state, action) -> valid hashrate, power, temperature, error rate

    4. Score candidate actions using:
           expected mining value
         - electricity cost
         - thermal penalty
         - stale/reject penalty
         - wear penalty

    5. Choose the highest-scoring safe action.

    6. Apply only a bounded step from the previous set-point.

    7. Observe outcome.

    8. If temperature, errors or hashrate deteriorate beyond guardrails:
           immediately roll back to the last safe profile.

Output:
    maximum measured economic value per unit time,
    not "predicted lucky nonces".

Complexity and feasibility

For a discrete catalogue of \(K\) safe voltage/frequency profiles and \(d\) contextual features, a linear contextual-bandit score can be evaluated in approximately \(O(Kd)\) per decision. Across \(n\) independent miners, the basic scoring layer is \(O(nKd)\). A continuous multi-step MPC formulation can become a quadratic or nonlinear programme whose generic worst-case complexity is much higher, although sparse and separable mining-fleet structure can make real-time implementations practical. For a single home miner, exhaustive evaluation of a small number of safe profiles is likely preferable to a large deep model.

Proposal: FlexHash, probability per unit of money rather than probability per hash

Suppose electricity price \(c_t\), expected fee value \(F_t\) and ambient temperature vary across \(T\) time slots. Let \(x_t\in[0,1]\) represent mining load. The scheduler can solve

\[ \max_{x_1,\ldots,x_T} \sum_t x_t \left[ P_{\mathrm{BTC},t}(B+F_t) \frac{H_m}{H_{N,t}} \frac{\Delta t}{600} - c_t P\Delta t \right] \] subject to \[ 0\leq x_t\leq1, \qquad \sum_t x_t P\Delta t\leq E_{\mathrm{budget}}, \] plus thermal or grid constraints.

With independent time slots and known future values, this can collapse to ranking intervals by expected margin. With ramp constraints, uncertain prices and thermal state, it becomes an LP, MILP or stochastic-control problem. AI belongs in the forecasting layer; optimisation belongs in the decision layer. This division is often more interpretable and safer than end-to-end reinforcement learning.

Proposal: RelayBandit for reducing stale-work exposure

Let each pool endpoint, relay route or peer configuration be an arm \(k\in\{1,\dots,K\}\). Observe contextual features such as round-trip latency, job-update delay, packet loss and historical rejected-share rate. A contextual bandit can optimise a reward such as

\[ R_k = \text{accepted-value}_k - \alpha\cdot\text{latency}_k - \beta\cdot\text{stale-rate}_k. \]

This idea is motivated by the importance of propagation and competing blocks highlighted in the 2026 PNAS analysis. It needs careful treatment of pool payout rules and switching costs; lower measured latency does not automatically mean higher long-run payout. [R2] citeturn4view0

Proposal: FleetGuard anomaly detection

For a large mine, train a self-supervised model only on known-healthy telemetry windows. Use reconstruction error or embedding distance as an anomaly score:

\[ A_t=\lVert x_t-\hat{x}_t\rVert_{\Sigma^{-1}}. \]

Instead of automatically shutting equipment down, an initial deployment should use the model as a ranked maintenance alert. This reduces operational risk from false positives and allows the system to collect labels that later support supervised fault classification.

Proposal rejected: neural nonce ranking

A tempting architecture would train \(f_\theta(X)\) to rank candidate headers according to their probability of producing a hash below the target, then hash only the top-ranked candidates. Under a pseudorandom-hash model,

\[ I\left(X;\mathbf{1}[h(X)\leq T]\right)\approx0, \]

so there should be no stable learnable signal. Worse, evaluating \(f_\theta\) consumes time and power that could have been spent calculating actual hashes. Unless a reproducible cryptanalytic bias exists, the expected outcome is fewer hashes and therefore worse mining performance. No verified 2024–September 2026 paper located in this review overturns that conclusion.

Proposal: GPU-assisted ASIC design-space search

A more ambitious research programme would use GPUs offline to accelerate surrogate models for SHA-256 ASIC physical design. Candidate chip configurations could vary pipeline depth, clock domains, voltage targets, thermal placement and redundancy. The optimiser's objective could be a Pareto frontier:

\[ \min \left( \mathrm{J/TH}, \mathrm{area}, \mathrm{timing\ risk}, \mathrm{thermal\ density} \right) \quad \text{subject to target TH/s and manufacturability.}

This is technically plausible but has a very different cost structure from software tuning: tape-out, verification and fabrication dominate. It is a research direction for ASIC designers, not a way for an ordinary home miner to turn an RTX GPU into a competitive SHA-256 device.

Proposed algorithm trade-offs

Approach What it improves Per-hash win probability? Compute complexity Home feasibility Farm feasibility Research verdict
Neural nonce predictor Claims to rank hashes No verified improvement Model inference + hashing Low Low Unsupported
Safe DVFS / contextual bandit J/TH, valid hashrate, stability No, but more valid hashes per budget Approximately O(Kd) per decision for simple model High High Strong candidate
Thermal MPC Sustained clocks, cooling, wear Indirect QP/nonlinear optimisation Medium High Strong candidate
Price-aware FlexHash scheduling Profit/hash-hours per monetary budget Indirect via more affordable hash-hours Simple ranking to LP/MILP High under variable tariffs High Strong candidate
Predictive maintenance Uptime Indirect O(P) neural inference or much lower for statistical methods Medium High Practical
Relay/pool contextual bandit Latency and stale/reject exposure Does not alter hash target Approximately O(Kd) Medium High Research-worthy
GPU-assisted ASIC design search Future silicon J/TH No Very high offline compute/EDA Very low Manufacturer-level Long-term
Replace Bitcoin PoW with useful AI work Potential external utility of computation Changes consensus entirely Protocol and verification problem Not deployable unilaterally Not deployable unilaterally Requires consensus redesign

How to test an AI mining optimiser without fooling yourself

A scientifically useful experiment should not use “blocks won” as its primary metric because block-level variance is overwhelming at home scale. Instead, measure high-frequency observables: accepted fixed-difficulty shares, effective hashrate, joules per accepted unit of work, hardware errors, stale/rejected shares, temperature, uptime and wall power.

The strongest design is a randomised crossover test. Alternate baseline firmware/control and the AI policy on the same hardware across matched temperature and tariff windows. Pre-register the objective, use a separate validation period, record wall power rather than software estimates, and retain all rejected-share data. A claimed “3% AI improvement” should mean a statistically defensible improvement in valid work per joule or expected net margin, not that one lucky test interval happened to discover a low hash.

A publishable research hypothesis: a safe contextual controller can increase accepted shares per joule relative to static firmware under variable ambient temperature and electricity prices, while holding thermal stress and rejected-share rate below predefined limits. That is measurable in weeks rather than waiting centuries for solo blocks.

A useful controller should justify its own electricity

Let \(\Delta R_{\mathrm{AI}}\) be the extra economic value per hour caused by AI control and \(P_{\mathrm{ctl}}\) the controller's extra electrical load. AI is worthwhile only when

\[ \Delta R_{\mathrm{AI}} > c_e P_{\mathrm{ctl}} + C_{\mathrm{compute\ amortisation}} + C_{\mathrm{risk}}. \]

This test is particularly important for home systems. Adding hundreds of watts of GPU consumption to optimise a miner drawing tens or hundreds of watts is usually self-defeating. The elegant architecture is often: ASIC for hashing, tiny controller for inference, GPU elsewhere for occasional training.

Limitations, ethics, legal considerations and full references

Research limitations

The article's literature cut-off is 25 September 2026. Several of the most directly relevant 2026 works are arXiv preprints rather than peer-reviewed publications, so their conclusions should be considered provisional. In particular, Basu, Pass, the broad Crypto × AI survey and Doger–Ulukus should not be described as peer-reviewed simply because they are publicly available on arXiv. citeturn20view3turn14view0turn14view1turn21view2

Mining hardware data changes quickly. The Cambridge Bitcoin Electricity Consumption Index changelog shows SHA-256 equipment-list updates in January and July 2026 and the addition of a BTC production-cost index in January, demonstrating why any fixed hardware table is a dated snapshot. [R12] citeturn15search2

Manufacturer efficiency specifications are not substitutes for independent wall-power measurements. Temperature, firmware, PSU losses, silicon variation and cooling auxiliaries can alter actual performance. Likewise, network hashrate, difficulty, fees and BTC price are stochastic and time varying, so profitability examples should always be recomputed from live data before economic decisions.

Environmental and system-level considerations

The Cambridge Centre for Alternative Finance's 2025 industry report is based on direct practitioner data and reports that sustainable sources accounted for 52.4% of the surveyed mining energy mix; Cambridge itself notes that its evidence covered a substantial but not complete share of global activity. This is useful empirical context but not a claim that every Bitcoin hash has the same carbon intensity. [R11] citeturn16search1turn17search0

AI optimisation can reduce energy per useful hash while simultaneously making mining more profitable and therefore encouraging additional consumption. Efficiency should therefore be reported alongside absolute electricity use, carbon intensity, equipment lifetime and grid impact rather than treated as an environmental result by itself.

Security and ethics

Research into strategic mining requires a distinction between defensive analysis and deployment. The 2025 reinforcement-learning mining work and Doger–Ulukus's 2026 block-withholding study are valuable because they expose incentive and security weaknesses; their existence is not an endorsement of attacking pools. [R8] [R6] citeturn15academia14turn21view2

A production AI controller should enforce hardware safety constraints independently of its learned model. A neural policy should never be the sole authority preventing over-temperature, over-voltage, PSU overload or cooling failure. Hard firmware and electrical protection remain necessary because ML models can fail outside their training distribution.

Legal and household-operational considerations

Mining legality and tax treatment are jurisdiction-specific. A home operator should independently verify local electrical-code requirements, building or tenancy rules, utility tariffs, noise restrictions, tax obligations and any rules affecting cryptocurrency income before operating equipment. High-power industrial ASICs can exceed what is appropriate for ordinary domestic wiring, and published wattage is not a substitute for professional electrical assessment.

Solo mining also creates operational security obligations: wallet addresses, pool credentials, firmware, management interfaces and network access should be protected. An apparently “smart” AI management service can become an additional attack surface if it requires cloud credentials or remote control of power and firmware.

Financial interpretation. A verified lucky home-mining winner is not evidence of positive expected investment return. The correct comparison is expected revenue, variance, capital cost, electricity, cooling, pool fees, taxes and opportunity cost. Solo mining can rationally be pursued for education, decentralisation, heat reuse or lottery-like preference even when it would not meet a conventional risk-adjusted investment criterion.

Final assessment

The most compelling Bitcoin × AI research programme in 2026 is therefore not “use AI to guess the winning nonce”. It is “use AI to make every watt, second, ASIC and network path surrounding the random search work better”.

GPUs belong primarily in that outer intelligence layer. They can train thermal models, optimise fleet schedules, analyse mempool strategies, perform simulations and help design future silicon. For the actual inner loop of Bitcoin proof-of-work, modern ASICs remain the appropriate hardware. The separation is not a disappointment; it is the architecture suggested by the mathematics.

The 2026 Bitaxe winner then makes sense rather than looking miraculous. The miner did not appear to possess an AI secret, a special GPU or a nonce-prediction algorithm. A tiny amount of hashrate simply participated honestly in the same probability distribution as the largest data centres — and, on one exceptionally rare draw, won. [R13] citeturn20view0

References

R1 Nakamoto, S. (2008). Bitcoin: A Peer-to-Peer Electronic Cash System. Original paper.
R2 Barucca, P., Campajola, C., & Xu, J. (2026). How the interplay between power concentration, competition, and propagation affects the resource efficiency of distributed ledgers. PNAS Nexus, 5(5), pgag135. DOI / original article. Published 26 May 2026. citeturn4view0
R3 Basu, A. (2026). The Usefulness Gap in Proof-of-Useful-Work: An Empirical Study of Pearl's cuPOW Protocol. arXiv:2606.04819. arXiv abstract. DOI. citeturn20view3
R4 Pass, R. (2026). The Economics of Proof-of-Useful-Work. arXiv:2606.06700. Original arXiv record. citeturn14view0
R5 Allen, S., Anchuri, P., Austgen, J., Bahrani, M., Breckenridge, S., Buchwald, A., Cachin, C., Fábrega, A., Fernandez, J., Chiang, J. H., Mouallem, M., Bar-Zur, R., DeSilva, N., Eyal, I., Fanti, G., Juels, A., Miller, A., Sillaber, C., Vilardell, D., et al. (2026). Crypto x AI, AI x Crypto: A Survey. arXiv:2606.13892. Original arXiv record. citeturn14view1turn15search9
R6 Doger, M., & Ulukus, S. (2026). All-out Attack: Optimal Block Withholding Under Pay-Per-Share Scheme. arXiv:2607.01209. Original arXiv record. DOI. citeturn21view2
R7 Sezal, L. (2026). From digital mining to market prices: An empirical analysis of the relationship between energy consumption and price dynamics of Bitcoin and Ether. Economics and Business Review. DOI / journal article. citeturn16search12
R8 Sarenche, R., Aghabagherloo, A., Nikova, S., & Preneel, B. (2025). Bitcoin under volatile block rewards: How mempool statistics can influence Bitcoin mining. In Proceedings of the 2025 ACM SIGSAC Conference on Computer and Communications Security, 903–917. ACM DOI. arXiv version. citeturn15search11turn15academia14
R9 Sakurai, A., & Shudo, K. (2025). The Rich Get Richer in Bitcoin Mining Induced by Blockchain Forks. arXiv:2506.13360. Original arXiv record. citeturn15academia13turn15search8
R10 Majumder, S., Aravena, I., & Xie, L. (2024). An Econometric Analysis of Large Flexible Cryptocurrency-mining Consumers in Electricity Markets. arXiv:2408.12014. Original arXiv record. citeturn22view2
R11 Neumueller, A., Pieters, G. C., Mohaddes, K., Rousseau, V., & Zhang, B. Z. (2025). Cambridge Digital Mining Industry Report: Global Operations, Sentiment, and Energy Use. Cambridge Centre for Alternative Finance, Cambridge Judge Business School. Official report. citeturn17search0turn16search1
R12 Cambridge Centre for Alternative Finance. (2026). Cambridge Bitcoin Electricity Consumption Index — Change Log. Official CBECI page. citeturn15search2
R13 Vardai, Z. (2026, July 14). Hobby-level miner bags $200K solo BTC block with budget Bitaxe rig. Cointelegraph. Article. citeturn20view0
R14 mempool.space. (2026). Bitcoin block #957,382. Block hash: 00000000000000000000f4f8c91a6c400c42a40577fafa2ca2231d78f1955424. Block explorer record. citeturn22view0
R15 Malwa, S. (2026, April 6). Solo bitcoin miner overcomes 1-in-28,000 odds to secure $210,000 block reward. CoinDesk. Article. citeturn21view1
R16 Canaan. (2026). Avalon Nano 3S specifications. 6 TH/s, 140 W maximum, manufacturer specification. Official product page. citeturn19search0
R17 FutureBit. (2026). Apollo III Bitcoin Home Miner. Manufacturer specifications include up to approximately 18 TH/s, dynamic power operation and integrated node features. Official product page. citeturn20image0turn18search2
R18 Canaan. (2026). Avalon Miner A15Pro 218T. Manufacturer specification: 218 TH/s, 3,662 W, 16.8 J/TH. Official product page. citeturn19search13
R19 NVIDIA. (2026 access). GeForce RTX 5090 Graphics Card Specifications. Manufacturer specification includes 575 W total graphics power. Official NVIDIA page. citeturn18search0
Source-quality note. Primary academic papers, original arXiv records, DOI pages, Cambridge research material, manufacturer specifications and on-chain block records were preferred. News reports were used principally for the 2026 solo-mining narratives because the miners were anonymous and no peer-reviewed case reports exist for those individual events. Where news reporting goes beyond what is directly verifiable on-chain — especially residence, electricity tariff, identity or exact physical setup — this article explicitly marks the gap rather than filling it with an assumption.

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