{"uid":"cap_UsGRPvtcdg9-z-2336TVy","slug":"solo-mining-reward-poisson-standard-deviation-local-finite-change-5f654927","name":"Solo Mining Reward Poisson Standard Deviation — Local Finite-Change Elasticity","description":"Solo reward Poisson standard deviation — Local finite-change elasticity: Local finite-change elasticity for Solo reward Poisson standard deviation. Supplied mining assumptions only; formula and units disclosed. No live prices, mining or guaranteed return. Specialised preset in a shared 50-profile, 20-operation engine. 0.01 USDC includes one bounded local finite-change elasticity report.","url":"https://market.datapackvibe.com/x402/assistant-bx-mining-reward-deviation-elasticity?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"field":{"enum":["expected_blocks","reward_btc"],"type":"string","default":"expected_blocks"},"baseline":{"type":"object","default":{"reward_btc":3.125,"expected_blocks":4},"required":["expected_blocks","reward_btc"],"properties":{"reward_btc":{"type":"number","default":3.125,"maximum":10000000000000000,"minimum":0,"exclusiveMinimum":0},"expected_blocks":{"type":"number","default":4,"maximum":10000000000000000,"minimum":0,"exclusiveMinimum":0}},"additionalProperties":false},"step_percent":{"type":"number","default":1,"maximum":10,"minimum":0.01}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.01/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_K61PMFdyu1PtLbmW37VLS","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.01","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the local finite-change elasticity of the Poisson standard deviation for solo Bitcoin mining rewards with respect to a specified input parameter, given a small percentage step change.","exampleAgentPrompt":"Calculate the local finite-change elasticity of the solo mining reward Poisson standard deviation with respect to expected_blocks, using a baseline of 4 expected blocks and 3.125 BTC reward, with a 1% step.","exampleUseCases":[{"title":"Assess block-count sensitivity for solo miner","prompt":"I'm solo mining Bitcoin and want to know how sensitive my reward variability is to changes in expected blocks. Use a baseline of 4 expected blocks and 3.125 BTC reward, and perturb expected_blocks by 0.5% to get the elasticity."},{"title":"Model reward_btc impact on deviation spread","prompt":"Can you calculate how much the Poisson standard deviation of my solo mining reward changes proportionally if the reward per block shifts slightly? Set baseline reward_btc to 3.125 and expected_blocks to 4, and use a 2% step on the reward_btc field."},{"title":"Compare elasticity across two mining scenarios","prompt":"I need to compare elasticity of solo mining reward deviation for two setups: first compute it for expected_blocks at baseline 6 blocks and 3.125 BTC with a 1% step, then separately for expected_blocks at baseline 2 blocks and 3.125 BTC with the same step."}],"resultDescription":"A bounded local finite-change elasticity report for the Poisson standard deviation of solo mining rewards, showing how sensitively the standard deviation responds to a small percentage change in the chosen input field (expected_blocks or reward_btc). The report includes the elasticity value, formula, and units, but no live prices or guaranteed return projections.","failureModes":["Invalid field enum value (not 'expected_blocks' or 'reward_btc') returns validation error","baseline values of zero or negative for expected_blocks or reward_btc are rejected (exclusiveMinimum: 0)","step_percent outside range [0.01, 10] returns validation error","Missing required baseline fields returns schema validation error","Payment of 0.01 USDC not completed returns 402 Payment Required"],"whenToPreferThis":"Choose this endpoint when you need a precise, formula-backed local elasticity measure for the Poisson standard deviation of solo Bitcoin mining rewards with respect to a specific input assumption. It is ideal for sensitivity analysis on solo mining risk modeling where live price data is not needed and only the mathematical relationship between inputs and reward spread matters.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-12T00:52:51.889Z","isFirstParty":false,"canonicalSlug":"solo-mining-reward-poisson-standard-deviation-local-finite-change-5f654927"}