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Crucible Labs
@CrucibleLabs
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Dedicated to advancing decentralized AI
onchain
Joined October 2024
Our State of Bittensor 2024 report is live! Alongside the report, we're releasing a recording with the authors of the report, interviewed by our co-founder @dlawee and @brodydotai from Outpost. We discuss: > David's past experience as an executive at Google and as the founder of Alphabet's growth equity fund > The history of Bittensor and what makes it unique > Standout subnets > Dynamic TAO's implications > Our 2025 Thesis
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The AMM Ensures Fair Market Pricing π After this sell: β’ The price drops slightly: 104.27 βββββββ = 0.01087 TAO per Alpha 9,090.91 Summary: β
Buying Alpha increases its price β
Selling Alpha decreases its price β
Subnet token price is purely market-driven, NOT set by validators
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Someone Sells Alpha Tokens π Now, another user sells 500 Alpha tokens back to the pool to get TAO. 1οΈβ£ Before the trade: β’ TAO in pool = 110 β’ Alpha in pool = 9,090.91 β’ k = 1,000,000 2οΈβ£ After the user adds 500 Alpha: β’ New Alpha in pool = 9,590.91 β’ Solve for new TAO amount: After this trade, the new price of 1 Alpha token is: 1,000,000 βββββββ = 104.27 9,090.91 So: β’ New TAO in pool = 104.27 β’ The user gets: 110 - 104.27 = 5.73 TAO
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Someone Buys Alpha Tokens π° A user buys 10 TAO worth of Alpha tokens from the pool. 1οΈβ£ Before the trade: β’ TAO in pool = 100 β’ Alpha in pool = 10,000 β’ k = 1,000,000 2οΈβ£ After the user adds 10 TAO: β’ New TAO in pool = 110 β’ Since k must stay constant, solve for new Alpha amount: 1,000,000 βββββββ =9,090.91 110 So: β’ New Alpha in pool = 9,090.91 β’ The user gets: 10,000 - 9,090.91 = 909.09 Alpha
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The Core AMM Formula: Constant Product DTAO uses an AMM model to determine the price of subnet tokens (Alpha) in TAO. The rule is simple: x Γ y = k where: x = amount of TAO in the subnet pool y = amount of subnet token (Alpha) k = constant product (stays the same after every trade) This ensures the price always adjusts as people buy or sell tokens.
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RT @Old_Samster: This started as our year-in-review report on Bittensor. But halfway through writing it, we realized there wasn't a singleβ¦
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RT @bloomberg_seth: The @rayon_labs team (aka nineteen) has built one of the industry's most latency-optimized inference services, and it'sβ¦
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