{"uid":"cap_ZA7P5yHmdW_agEgg1g0fm","slug":"kihustle-markov-chain-transition-simulator-904c8858","name":"KiHustle Markov Chain Transition Simulator","description":"Kostenlose Guides, Solo-Playbooks und Artikel zu KI, Automation und Side Hustles — für Menschen, die mit echten Systemen online Einkommen aufbauen wollen. Transparent finanziert über faire Affiliate-Links.","url":"https://kihustle.tech/nexus/api/v1/markov-chain-transition?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"steps":{"type":"integer"},"matrix":{"type":"array","items":{"type":"array","items":{"type":"number"}}},"start_state":{"type":"integer"}}},"responseSchema":{"type":"json","example":{"result":"processed","status":"success"}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.002","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":"$0.002/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_JMXlqqngp5ZaGk37PVlsY","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.002","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Simulates a Markov chain by stepping through a transition matrix from a given start state for a specified number of steps","exampleAgentPrompt":"Run a Markov chain simulation starting at state 0 for 10 steps using this 3x3 transition matrix: [[0.7, 0.2, 0.1], [0.3, 0.5, 0.2], [0.1, 0.4, 0.5]].","exampleUseCases":[{"title":"Weather pattern state modeling","prompt":"Simulate a weather Markov chain for 20 steps starting from state 1 (cloudy) using this transition matrix: [[0.7, 0.2, 0.1], [0.3, 0.4, 0.3], [0.2, 0.3, 0.5]] representing sunny, cloudy, and rainy states."},{"title":"Customer churn probability walkthrough","prompt":"Run a 15-step Markov chain simulation from start state 0 using the customer lifecycle transition matrix [[0.8, 0.15, 0.05], [0.1, 0.7, 0.2], [0.0, 0.0, 1.0]] to model how a customer moves through active, at-risk, and churned states."},{"title":"Random walk on board game states","prompt":"Simulate a board game state machine for 50 steps starting at state 2 using this 4x4 transition matrix: [[0.5,0.3,0.1,0.1],[0.2,0.5,0.2,0.1],[0.1,0.2,0.5,0.2],[0.1,0.1,0.3,0.5]]."}],"resultDescription":"Returns a JSON object with a 'result' field indicating the simulation outcome and a 'status' field confirming success. The exact state path or final state is returned under 'result'.","failureModes":["Invalid matrix dimensions (non-square or mismatched rows/columns)","Row probabilities in the transition matrix do not sum to 1","start_state index out of bounds for the given matrix size","steps value is zero or negative","Malformed JSON input causing a 400 error","Payment failure due to insufficient USDC balance"],"whenToPreferThis":"Use this endpoint when you need a quick, pay-per-call Markov chain simulation without setting up your own probabilistic modeling library. Ideal for agents that occasionally need stochastic state-transition computations without maintaining persistent infrastructure. Not suited for large-scale batch simulations or when you need the full state-path history rather than a summary result.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-13T12:48:03.890Z","isFirstParty":false,"canonicalSlug":"kihustle-markov-chain-transition-simulator-904c8858"}