Added new concept sections for deterministic execution and drop in compatibility

docs/products/eigenai/concepts/_category_.json

@@ -1,4 +1,4 @@
 {
-  "position": 1,
+  "position": 2,
   "label": "Concepts"
 }

docs/products/eigenai/concepts/deterministic-execution.md

@@ -0,0 +1,19 @@
+---
+title: Deterministic Execution
+sidebar_position: 2
+---
+
+EigenAI provides verifiable AI inference through deterministic execution using GPUs. See deterministic execution in action at
+[deterministicinference.com](https://www.deterministicinference.com/).
+
+The EigenAI API is deterministic, meaning that when you send the same request (including identical prompt, parameters, and
+configuration) multiple times, it produces exactly the same output bit-for-bit each time. This differs from APIs such as 
+OpenAI or Anthropic, which may return slightly different responses for identical inputs because their models are non-deterministic
+by design.
+
+Deterministic execution enables: 
+
+* Reproducible results. The same request results in the same output. Reproducible results
+enable reliable workflows with consistent outputs. 
+* Verifiability. A EigenAI user can repeat a request made by an application and verify they get the same result. 
+* Simplified debugging of workflows that include AI inference due to consistent AI outputs.

docs/products/eigenai/concepts/drop-in-compatibility.md

@@ -0,0 +1,16 @@
+---
+title: Drop In Compatibility
+sidebar_position: 3
+---
+
+The EigenAI API is compatible with the OpenAI API, so you can simply place the API endpoint in your existing application to
+start shipping deterministic, verifiable AI-based applications. You can use the EigenAI as a direct replacement in your existing 
+workflows without rewriting code or changing your integration logic. Simply update your API endpoint to point to EigenAI, and 
+your application will continue to function exactly as before but with deterministic and verifiable outputs.
+
+This compatibility extends to familiar features such as:
+* Prompt and parameter formats identical to those used in OpenAI endpoints.
+* Client libraries that work out of the box — including the OpenAI SDKs for Python, TypeScript, and others.
+* Response schemas that mirror existing API structures, ensuring your downstream parsing and evaluation logic remains unchanged.
+
+By design, EigenAI minimizes friction for teams migrating to deterministic infrastructure.

docs/products/eigenai/concepts/eigenai-overview.md

@@ -12,7 +12,11 @@ While in Alpha **an allowlisted account is required to use the API.** If you hav
 :::
 
 ## Overview
-Build verifiable applications leveraging LLM inference without wondering if the same LLM call might produce different results on different runs, or whether your prompts, models, or responses are modified in any way. EigenAI offers a *deterministic, verifiable* API, compatible with the OpenAI API, so you can simply place the API endpoint in your existing application to start shipping AI-based applications you and your users can trust.
+Build verifiable applications leveraging LLM inference without wondering if the same LLM call might produce different results 
+on different runs, or whether your prompts, models, or responses are modified in any way. EigenAI offers:
+
+* [Deterministic execution of EigenAI API requests.](deterministic-execution.md)
+* [Drop-in compatibility with the OpenAI API.](drop-in-compatibility.md)
 
 **AI is one of the greatest technological advancements in human history. Our mission is to enable any developer to build with scalable & verifiable AI, so that any developer anywhere in the world can build trusted applications.** 
 

docs/products/eigenai/howto/_category_.json

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 {
-  "position": 2,
+  "position": 3,
   "label": "How To"
 }

docs/products/eigenai/reference/_category_.json

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 {
-  "position": 3,
+  "position": 4,
   "label": "Reference"
 }

docs/products/eigenai/try-eigenai.md

@@ -1,14 +1,14 @@
 ---
 title: Try EigenAI
-sidebar_position: 4
+sidebar_position: 1
 ---
 
-We've built [deterministicinference.com](https://deterministicinference.com/) to showcase EigenAI in action.
+We built [deterministicinference.com](https://deterministicinference.com/) to showcase EigenAI in action.
 
 When you run a comparison, your prompt is executed in 3 ways:
 
 1. With OpenAI 
 2. With EigenAI along with a seed you select.
 3. With EigenAI along with a randomly generated seed.
 
-EigenAI provides determinism. You'll notice the results coming back from OpenAI will change, while the results coming from EigenAI will be identical and reproducable.
+EigenAI provides determinism. You'll notice the results coming back from OpenAI change, while the results coming from EigenAI are identical and reproducible.