{ "model_id": "moonshotai/kimi-k3", "provider_id": "moonshotai", "name": "Kimi K3", "description": "Kimi K3 is Moonshot's flagship 2.8 trillion-parameter model, built on Kimi Delta Attention (a hybrid linear attention mechanism) with Attention Residuals. It offers native visual understanding, always-on reasoning, and a 1M-token context window for long-horizon coding, knowledge work, and deep reasoning tasks.", "task": "Text Generation", "tags": [ "LLM", "Coding", "Reasoning", "Multilingual", "Function Calling", "Vision", "Frontier" ], "context_length": 1048576, "max_output_tokens": 1048576, "schema_version": "1.0.0", "pricing": { "Input tokens (per 1M)": 3, "Cached input tokens (per 1M)": 0.3, "Output tokens (per 1M)": 15 }, "examples": [ { "name": "Simple Question", "description": "Basic chat completion request", "input": { "messages": [ { "content": "Explain quantum entanglement in simple terms.", "role": "user" } ] }, "output": { "text": "Quantum entanglement is when two particles become linked in such a way that they behave as a single system \u2014 even when separated by vast distances.\n\n**An analogy to start:**\nImagine two coins that are mysteriously connected. You shuffle them, keep one, and mail the other to a friend across the world. The moment you look at your coin and see heads, you instantly know your friend's coin shows tails.\n\n**Here's where it gets weird:**\nWith ordinary coins, the outcome was fixed all along \u2014 your coin was *already* heads before you looked. But quantum mechanics says something stranger: before measurement, entangled particles don't have definite properties at all. Each exists in a haze of possibilities (called \"superposition\"). The instant you measure one, it \"settles\" into a state \u2014 and its partner instantly takes on the matching state, no matter how far away it is.\n\n**Why this bothered Einstein:**\nHe famously called it \"spooky action at a distance,\" because it seemed like the particles were communicating faster than light \u2014 which relativity says is impossible. He suspected the particles carried hidden instructions all along. But experiments over the past few decades (recognized with the 2022 Nobel Prize in Physics) proved Einstein wrong: the correlations are real, and the particles genuinely don't have definite states until measured.\n\n**One important caveat:**\nYou *can't* use entanglement to send messages faster than light. The outcome you see is random, so there's no way to encode information in it. The connection only becomes apparent when both sides compare their results through normal, slower-than-light channels.\n\n**Why it matters:**\nEntanglement isn't just a curiosity \u2014 it's the foundation of quantum computing, ultra-secure quantum cryptography, and emerging quantum communication networks.\n\nIn short: entangled particles share one fate, and measuring one instantly shapes the other \u2014 a phenomenon so strange that even Einstein refused to believe it." }, "raw_response": { "id": "chatcmpl-6a592349f5fee221445e964f", "object": "chat.completion", "created": 1784226633, "model": "moonshotai/kimi-k3", "choices": [ { "index": 0, "message": { "role": "assistant", "content": "Quantum entanglement is when two particles become linked in such a way that they behave as a single system \u2014 even when separated by vast distances.\n\n**An analogy to start:**\nImagine two coins that are mysteriously connected. You shuffle them, keep one, and mail the other to a friend across the world. The moment you look at your coin and see heads, you instantly know your friend's coin shows tails.\n\n**Here's where it gets weird:**\nWith ordinary coins, the outcome was fixed all along \u2014 your coin was *already* heads before you looked. But quantum mechanics says something stranger: before measurement, entangled particles don't have definite properties at all. Each exists in a haze of possibilities (called \"superposition\"). The instant you measure one, it \"settles\" into a state \u2014 and its partner instantly takes on the matching state, no matter how far away it is.\n\n**Why this bothered Einstein:**\nHe famously called it \"spooky action at a distance,\" because it seemed like the particles were communicating faster than light \u2014 which relativity says is impossible. He suspected the particles carried hidden instructions all along. But experiments over the past few decades (recognized with the 2022 Nobel Prize in Physics) proved Einstein wrong: the correlations are real, and the particles genuinely don't have definite states until measured.\n\n**One important caveat:**\nYou *can't* use entanglement to send messages faster than light. The outcome you see is random, so there's no way to encode information in it. The connection only becomes apparent when both sides compare their results through normal, slower-than-light channels.\n\n**Why it matters:**\nEntanglement isn't just a curiosity \u2014 it's the foundation of quantum computing, ultra-secure quantum cryptography, and emerging quantum communication networks.\n\nIn short: entangled particles share one fate, and measuring one instantly shapes the other \u2014 a phenomenon so strange that even Einstein refused to believe it.", "reasoning_content": "The user wants a simple explanation of quantum entanglement. This is a physics concept that many people find confusing, so my goal is to make it accessible without dumbing it down to the point of inaccuracy.\n\nLet me think about what quantum entanglement actually is:\n- Quantum entanglement is a phenomenon where two or more particles become correlated in such a way that the quantum state of each particle cannot be described independently of the others, even when separated by large distances.\n- When you measure one particle of an entangled pair, you instantly know something about the other particle, regardless of the distance between them.\n- Einstein famously called it \"spooky action at a distance.\"\n\nKey points I want to convey:\n1. What entanglement is (particles linked in a special way)\n2. The strange part: measuring one instantly tells you about the other\n3. Why it's weird (this seems to defy our classical intuitions)\n4. Maybe clear up a common misconception: you can't use it to send information faster than light\n\nGood analogies to consider:\n- The classic glove analogy: You put a left glove and right glove in separate boxes, send one to a friend. When you open yours and see the left glove, you instantly know your friend has the right one. BUT this analogy is actually misleading because it suggests hidden variables \u2014 the gloves were always left and right. Quantum mechanics says the particles don't have definite states until measured (Bell's theorem proved this). I should be careful here. I could use the analogy but then explain why it falls short, which is actually a great pedagogical approach \u2014 it highlights what's truly weird about entanglement.\n\n- The coin analogy: two coins that always land on opposite sides when flipped. Similar issue with hidden variables.\n\nActually, the best approach might be:\n1. Start with the intuitive analogy (gloves or coins)\n2. Explain the quantum twist: unlike gloves, the particles don't have definite properties until measured \u2014 they're in a \"superposition\" of states\n3. The measurement of one \"collapses\" both into definite states instantly\n4. Mention why this bothered Einstein\n5. Clarify the no-faster-than-light-communication point\n6. Maybe mention practical applications briefly (quantum computing, quantum cryptography)\n\nLet me think about format:\n- \"Simple terms\" request means I should avoid jargon or explain it when used\n- Should be conversational but informative\n- Medium length \u2014 not too short that it's unhelpful, not so long it overwhelms\n- Could use a brief structure but probably flowing prose with maybe a couple of natural paragraph breaks works well for an explanation\n- An analogy is essential for \"simple terms\"\n\nLet me draft this:\n\n---\n\nQuantum entanglement is when two particles become linked so that they behave as one system, no matter how far apart they are.\n\n**The basic idea:**\nImagine you have two coins that are \"entangled.\" You shake them up and send one to a friend on the other side of the world. The moment you look at your coin and see heads, you instantly know your friend's coin shows tails \u2014 even before they look.\n\n**The quantum twist:**\nHere's where it gets truly strange. With ordinary coins, the outcome was decided the moment you separated them \u2014 your coin was \"really\" heads all along. But quantum mechanics tells us something weirder: before you measure them, entangled particles don't have definite properties at all. Each particle exists in a blur of possibilities (called \"superposition\") until the moment of measurement, when it \"chooses\" a state \u2014 and its partner instantly matches, no matter the distance.\n\nEinstein hated this, calling it \"spooky action at a distance,\" because it seemed like information was traveling faster than light. Scientists have since confirmed through experiments (winning the 2022 Nobel Prize) that entanglement is real.\n\n**Important caveat:**\nYou can't use entanglement to send messages faster than light. The results you see are random \u2014 you only discover the correlation when you compare notes with your friend through ordinary means.\n\n**Why it matters:**\nEntanglement is the engine behind quantum computing, quantum cryptography, and quantum teleportation experiments.\n\n---\n\nThat's pretty good. Let me refine. The coin analogy has the same hidden-variable problem as gloves, but I address it directly, which is the right pedagogical move. Actually I want to make sure the explanation of the twist is clear. \n\nThe key insight: classical correlations (gloves in boxes) are just about our ignorance \u2014 the properties existed all along. Quantum entanglement is different because the properties genuinely don't exist until measured, and experiments (Bell tests) have proven this distinction.\n\nShould I mention Bell's theorem explicitly? Maybe briefly \u2014 the 2022 Nobel Prize reference (Aspect, Clauser, Zeilinger) is a nice concrete touch that shows this isn't just theory.\n\nLength check: The draft above feels right \u2014 comprehensive but not overwhelming. Headers might be helpful here to organize, or I could do flowing prose. For a \"simple terms\" explanation, I think light structure with bold key phrases or minimal headers works well. Actually, maybe I'll keep it more conversational with minimal formatting \u2014 a few short paragraphs. Let me think... The request is conversational (\"Explain X in simple terms\"), so a conversational response with maybe one or two bolded phrases for emphasis feels right. Headers might make it feel like a textbook. I'll use flowing paragraphs with clear structure but keep it warm and readable.\n\nLet me finalize:\n\nParagraph 1: What it is \u2014 linked particles acting as one system\nParagraph 2: The coin/glove analogy\nParagraph 3: The quantum twist \u2014 superposition, properties don't exist until measured\nParagraph 4: Einstein's objection + experimental confirmation\nParagraph 5: The no-FTL-communication caveat\nParagraph 6 (optional): Why it matters\n\nActually that might be slightly long. Let me see if I can tighten. The caveat about FTL communication is important because it's the most common misconception. The applications bit can be one sentence.\n\nI'll aim for around 250-350 words. That feels right for \"simple terms\" \u2014 enough to actually explain, not so much it overwhelms." }, "finish_reason": "stop" } ], "usage": { "prompt_tokens": 94, "completion_tokens": 1661, "total_tokens": 1755, "cached_tokens": 94, "completion_tokens_details": { "reasoning_tokens": 1264 }, "prompt_tokens_details": { "cached_tokens": 94 } }, "gatewayMetadata": { "keySource": "Unified" } }, "code_snippets": [ { "label": "typescript", "language": "typescript", "code": "const response = await env.AI.run(\n 'moonshotai/kimi-k3',\n { messages: [{ content: 'Explain quantum entanglement in simple terms.', role: 'user' }] },\n)\nconsole.log(response)" }, { "label": "curl", "language": "bash", "code": "curl https://api.cloudflare.com/client/v4/accounts/$CLOUDFLARE_ACCOUNT_ID/ai/v1/chat/completions \\\n --header \"Authorization: Bearer $CLOUDFLARE_API_TOKEN\" \\\n --header \"Content-Type: application/json\" \\\n --data '{\n \"model\": \"moonshotai/kimi-k3\",\n \"messages\": [\n {\n \"content\": \"Explain quantum entanglement in simple terms.\",\n \"role\": \"user\"\n }\n ]\n}'" } ] }, { "name": "Reasoning Effort", "description": "Configure reasoning effort for a harder problem (K3's reasoning_effort replaces the K2.x thinking parameter)", "input": { "messages": [ { "content": "Prove that the square root of 2 is irrational.", "role": "user" } ], "reasoning_effort": "max" }, "output": { "text": "# Proof that \u221a2 is irrational\n\n**Theorem.** \u221a2 is irrational.\n\n**Proof.** We proceed by contradiction. Suppose \u221a2 is rational. Then it can be written as a fraction in lowest terms:\n\n$$\\sqrt{2} = \\frac{a}{b}$$\n\nwhere $a$ and $b$ are integers, $b \\neq 0$, and $\\gcd(a, b) = 1$ (meaning $a$ and $b$ share no common factor).\n\n**Step 1: Square both sides.**\n\n$$2 = \\frac{a^2}{b^2} \\implies a^2 = 2b^2$$\n\nSo $a^2$ is even. This forces $a$ itself to be even, because the square of an odd number is odd: if $a = 2k+1$, then $a^2 = 4k^2 + 4k + 1$, which is odd. Hence we can write:\n\n$$a = 2k \\quad \\text{for some integer } k$$\n\n**Step 2: Substitute back.**\n\n$$(2k)^2 = 2b^2 \\implies 4k^2 = 2b^2 \\implies b^2 = 2k^2$$\n\nSo $b^2$ is even, and by the same reasoning as above, $b$ must be even.\n\n**Step 3: Reach a contradiction.**\n\nWe have shown that both $a$ and $b$ are even, so they share a common factor of 2. But this contradicts our assumption that $\\gcd(a, b) = 1$.\n\n**Conclusion.** The assumption that \u221a2 is rational leads to a contradiction. Therefore, \u221a2 is irrational. $\\blacksquare$\n\n---\n\n**Remark on the key step:** The entire proof hinges on the fact that *every* rational number has a unique fully-reduced form. The equation $a^2 = 2b^2$ is impossible for reduced fractions because the factor 2 appears an even number of times on the left (in the prime factorization of $a^2$) but an odd number of times on the right (in $2b^2$) \u2014 this is essentially the contradiction in disguise." }, "raw_response": { "id": "chatcmpl-6a59237a703baa4f421e6187", "object": "chat.completion", "created": 1784226682, "model": "moonshotai/kimi-k3", "choices": [ { "index": 0, "message": { "role": "assistant", "content": "# Proof that \u221a2 is irrational\n\n**Theorem.** \u221a2 is irrational.\n\n**Proof.** We proceed by contradiction. Suppose \u221a2 is rational. Then it can be written as a fraction in lowest terms:\n\n$$\\sqrt{2} = \\frac{a}{b}$$\n\nwhere $a$ and $b$ are integers, $b \\neq 0$, and $\\gcd(a, b) = 1$ (meaning $a$ and $b$ share no common factor).\n\n**Step 1: Square both sides.**\n\n$$2 = \\frac{a^2}{b^2} \\implies a^2 = 2b^2$$\n\nSo $a^2$ is even. This forces $a$ itself to be even, because the square of an odd number is odd: if $a = 2k+1$, then $a^2 = 4k^2 + 4k + 1$, which is odd. Hence we can write:\n\n$$a = 2k \\quad \\text{for some integer } k$$\n\n**Step 2: Substitute back.**\n\n$$(2k)^2 = 2b^2 \\implies 4k^2 = 2b^2 \\implies b^2 = 2k^2$$\n\nSo $b^2$ is even, and by the same reasoning as above, $b$ must be even.\n\n**Step 3: Reach a contradiction.**\n\nWe have shown that both $a$ and $b$ are even, so they share a common factor of 2. But this contradicts our assumption that $\\gcd(a, b) = 1$.\n\n**Conclusion.** The assumption that \u221a2 is rational leads to a contradiction. Therefore, \u221a2 is irrational. $\\blacksquare$\n\n---\n\n**Remark on the key step:** The entire proof hinges on the fact that *every* rational number has a unique fully-reduced form. The equation $a^2 = 2b^2$ is impossible for reduced fractions because the factor 2 appears an even number of times on the left (in the prime factorization of $a^2$) but an odd number of times on the right (in $2b^2$) \u2014 this is essentially the contradiction in disguise.", "reasoning_content": "The user wants a proof that \u221a2 is irrational. This is a classic proof by contradiction. Let me write it out clearly and rigorously.\n\nThe standard proof:\n\n**Claim:** \u221a2 is irrational.\n\n**Proof (by contradiction):**\n\nSuppose, for the sake of contradiction, that \u221a2 is rational. Then we can write:\n\u221a2 = a/b\n\nwhere a and b are integers with b \u2260 0, and we can assume the fraction is in lowest terms, meaning gcd(a, b) = 1 (a and b share no common factors).\n\nSquaring both sides:\n2 = a\u00b2/b\u00b2\n2b\u00b2 = a\u00b2\n\nThis means a\u00b2 is even, which implies a is even (because if a were odd, a\u00b2 would be odd \u2014 the square of an odd number (2k+1)\u00b2 = 4k\u00b2 + 4k + 1 = 2(2k\u00b2 + 2k) + 1 is odd).\n\nSo a = 2k for some integer k.\n\nSubstituting:\n2b\u00b2 = (2k)\u00b2 = 4k\u00b2\nb\u00b2 = 2k\u00b2\n\nThis means b\u00b2 is even, which implies b is even (by the same reasoning).\n\nBut now both a and b are even, meaning they share a common factor of 2. This contradicts our assumption that gcd(a, b) = 1 (that the fraction was in lowest terms).\n\nTherefore, our initial assumption that \u221a2 is rational must be false. Hence \u221a2 is irrational. \u220e\n\nI should also justify the lemma that if a\u00b2 is even then a is even. I did that inline above.\n\nLet me format this nicely with clear structure. This is a math proof request, so headers or clear proof structure would be appropriate. I'll use a theorem-proof format. Should be moderately concise but complete and rigorous. I can use some markdown formatting since this appears to be a chat interface where markdown renders.\n\nI'll structure it:\n1. Statement\n2. Proof setup (contradiction)\n3. Key steps\n4. Contradiction\n5. Conclusion\n\nMaybe include the lemma explicitly. Let me write it well." }, "finish_reason": "stop" } ], "usage": { "prompt_tokens": 96, "completion_tokens": 932, "total_tokens": 1028, "cached_tokens": 96, "completion_tokens_details": { "reasoning_tokens": 450 }, "prompt_tokens_details": { "cached_tokens": 96 } }, "gatewayMetadata": { "keySource": "Unified" } }, "code_snippets": [ { "label": "typescript", "language": "typescript", "code": "const response = await env.AI.run(\n 'moonshotai/kimi-k3',\n {\n messages: [{ content: 'Prove that the square root of 2 is irrational.', role: 'user' }],\n reasoning_effort: 'max',\n },\n)\nconsole.log(response)" }, { "label": "curl", "language": "bash", "code": "curl https://api.cloudflare.com/client/v4/accounts/$CLOUDFLARE_ACCOUNT_ID/ai/v1/chat/completions \\\n --header \"Authorization: Bearer $CLOUDFLARE_API_TOKEN\" \\\n --header \"Content-Type: application/json\" \\\n --data '{\n \"model\": \"moonshotai/kimi-k3\",\n \"messages\": [\n {\n \"content\": \"Prove that the square root of 2 is irrational.\",\n \"role\": \"user\"\n }\n ],\n \"reasoning_effort\": \"max\"\n}'" } ] }, { "name": "Tool Choice Required", "description": "Force a tool call on the first turn with tool_choice", "input": { "messages": [ { "content": "What is the weather in San Francisco today?", "role": "user" } ], "tool_choice": "required", "tools": [ { "function": { "description": "Get the weather for a city", "name": "get_weather", "parameters": { "properties": { "city": { "type": "string" } }, "required": [ "city" ], "type": "object" } }, "type": "function" } ] }, "output": { "text": "I'll check the weather in San Francisco for you." }, "raw_response": { "id": "chatcmpl-6a5923933594b7665d11ae23", "object": "chat.completion", "created": 1784226696, "model": "moonshotai/kimi-k3", "choices": [ { "index": 0, "message": { "role": "assistant", "content": "I'll check the weather in San Francisco for you.", "tool_calls": [ { "index": 0, "id": "get_weather_0", "type": "function", "function": { "name": "get_weather", "arguments": "{\"city\":\"San Francisco\"}" } } ], "reasoning_content": "The user is asking about the weather in San Francisco today. I have a `get_weather` tool available. I should call it with the city \"San Francisco\"." }, "finish_reason": "tool_calls" } ], "usage": { "prompt_tokens": 208, "completion_tokens": 98, "total_tokens": 306, "cached_tokens": 208, "completion_tokens_details": { "reasoning_tokens": 35 }, "prompt_tokens_details": { "cached_tokens": 208 } }, "gatewayMetadata": { "keySource": "Unified" } }, "code_snippets": [ { "label": "typescript", "language": "typescript", "code": "const response = await env.AI.run(\n 'moonshotai/kimi-k3',\n {\n messages: [{ content: 'What is the weather in San Francisco today?', role: 'user' }],\n tool_choice: 'required',\n tools: [\n {\n function: {\n description: 'Get the weather for a city',\n name: 'get_weather',\n parameters: {\n properties: { city: { type: 'string' } },\n required: ['city'],\n type: 'object',\n },\n },\n type: 'function',\n },\n ],\n },\n)\nconsole.log(response)" }, { "label": "curl", "language": "bash", "code": "curl https://api.cloudflare.com/client/v4/accounts/$CLOUDFLARE_ACCOUNT_ID/ai/v1/chat/completions \\\n --header \"Authorization: Bearer $CLOUDFLARE_API_TOKEN\" \\\n --header \"Content-Type: application/json\" \\\n --data '{\n \"model\": \"moonshotai/kimi-k3\",\n \"messages\": [\n {\n \"content\": \"What is the weather in San Francisco today?\",\n \"role\": \"user\"\n }\n ],\n \"tool_choice\": \"required\",\n \"tools\": [\n {\n \"function\": {\n \"description\": \"Get the weather for a city\",\n \"name\": \"get_weather\",\n \"parameters\": {\n \"properties\": {\n \"city\": {\n \"type\": \"string\"\n }\n },\n \"required\": [\n \"city\"\n ],\n \"type\": \"object\"\n }\n },\n \"type\": \"function\"\n }\n ]\n}'" } ] }, { "name": "Streaming Response", "description": "Enable streaming for real-time output", "input": { "messages": [ { "content": "Explain why the sky is blue.", "role": "user" } ], "stream": true }, "output": { "text": [ "The", " sky", " is", " blue", " because", " of", " a", " phenomenon", " called", " **", "Ray", "leigh", " scattering", "**,", " which", " describes", " how", " light", " interacts", " with", " tiny", " particles", "\u2014in", " this", " case", ",", " the", " gas", " molecules", " in", " Earth's", " atmosphere", ".\n\n", "Here's", " the", " process", ",", " step", " by", " step", ":\n\n", "1", ".", " **", "Sun", "light", " contains", " all", " colors", ".**", " Although", " it", " looks", " white", ",", " sunlight", " is", " actually", " a", " mix", " of", " every", " color", " of", " visible", " light", ",", " each", " with", " a", " different", " wavelength", ".", " Red", " light", " has", " long", " wavelengths", " (~", "700", " nm", "),", " while", " blue", " and", " violet", " have", " short", " ones", " (~", "400", "\u2013", "450", " nm", ").\n\n", "2", ".", " **", "Air", " molecules", " scatter", " light", ".**", " Nit", "rogen", " and", " oxygen", " molecules", " are", " far", " smaller", " than", " the", " wavelengths", " of", " visible", " light", ".", " When", " light", " strikes", " particles", " this", " tiny", ",", " it", " gets", " scattered", " in", " all", " directions", ".\n\n", "3", ".", " **", "Sh", "orter", " wavelengths", " scatter", " much", " more", " strongly", ".**", " Ray", "leigh", " scattering", " intensity", " is", " proportional", " to", " ", "1", "/", "\u03bb", "\u2074", ",", " meaning", " blue", " light", " is", " scattered", " roughly", " ", "5", "\u2013", "6", " times", " more", " than", " red", " light", ".", " As", " sunlight", " streams", " through", " the", " atmosphere", ",", " blue", " light", " gets", " bounced", " all", " over", " the", " place", "\u2014", "so", " no", " matter", " where", " you", " look", " in", " the", " sky", ",", " scattered", " blue", " light", " is", " reaching", " your", " eyes", ".\n\n", "**", "Why", " not", " violet", "?", "**", " Violet", " light", " sc", "atters", " even", " more", " than", " blue", ",", " but", " the", " sun", " emits", " less", " of", " it", ",", " and", " our", " eyes", " are", " less", " sensitive", " to", " it", ".", " The", " combined", " effect", " is", " that", " we", " perceive", " the", " sky", " as", " blue", ".\n\n", "**", "A", " nice", " confirmation", ":**", " the", " same", " physics", " explains", " sunsets", ".", " When", " the", " sun", " is", " low", " on", " the", " horizon", ",", " its", " light", " travels", " through", " much", " more", " atmosphere", " to", " reach", " you", ".", " By", " the", " time", " it", " arrives", ",", " most", " of", " the", " blue", " has", " been", " scattered", " away", ",", " leaving", " the", " reds", " and", " oranges", " behind", ".\n\n", "As", " a", " bonus", ":", " on", " the", " Moon", ",", " which", " has", " no", " atmosphere", ",", " the", " daytime", " sky", " is", " black", "\u2014", "there", "'s", " nothing", " to", " scatter", " the", " sunlight", " at", " all", "." ] }, "raw_response": [ { "id": "chatcmpl-6a59238b8a290065f7c0f652", "object": 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