diff --git a/.gitbook/assets/erase (1).json b/.gitbook/assets/erase (1).json
index 7ea34ec..23c77fb 100644
--- a/.gitbook/assets/erase (1).json	
+++ b/.gitbook/assets/erase (1).json	
@@ -859,5 +859,179 @@
           }
         }
       }
+    },
+    "definitions": {
+      "ApiResponse": {
+        "type": "object",
+        "properties": {
+          "code": {
+            "type": "integer",
+            "format": "int32"
+          },
+          "type": {
+            "type": "string"
+          },
+          "message": {
+            "type": "string"
+          }
+        }
+      },
+      "Category": {
+        "type": "object",
+        "properties": {
+          "id": {
+            "type": "integer",
+            "format": "int64"
+          },
+          "name": {
+            "type": "string"
+          }
+        },
+        "xml": {
+          "name": "Category"
+        }
+      },
+      "Pet": {
+        "type": "object",
+        "required": [
+          "name",
+          "photoUrls"
+        ],
+        "properties": {
+          "id": {
+            "type": "integer",
+            "format": "int64"
+          },
+          "category": {
+            "$ref": "#/definitions/Category"
+          },
+          "name": {
+            "type": "string",
+            "example": "doggie"
+          },
+          "photoUrls": {
+            "type": "array",
+            "xml": {
+              "wrapped": true
+            },
+            "items": {
+              "type": "string",
+              "xml": {
+                "name": "photoUrl"
+              }
+            }
+          },
+          "tags": {
+            "type": "array",
+            "xml": {
+              "wrapped": true
+            },
+            "items": {
+              "xml": {
+                "name": "tag"
+              },
+              "$ref": "#/definitions/Tag"
+            }
+          },
+          "status": {
+            "type": "string",
+            "description": "pet status in the store",
+            "enum": [
+              "available",
+              "pending",
+              "sold"
+            ]
+          }
+        },
+        "xml": {
+          "name": "Pet"
+        }
+      },
+      "Tag": {
+        "type": "object",
+        "properties": {
+          "id": {
+            "type": "integer",
+            "format": "int64"
+          },
+          "name": {
+            "type": "string"
+          }
+        },
+        "xml": {
+          "name": "Tag"
+        }
+      },
+      "Order": {
+        "type": "object",
+        "properties": {
+          "id": {
+            "type": "integer",
+            "format": "int64"
+          },
+          "petId": {
+            "type": "integer",
+            "format": "int64"
+          },
+          "quantity": {
+            "type": "integer",
+            "format": "int32"
+          },
+          "shipDate": {
+            "type": "string",
+            "format": "date-time"
+          },
+          "status": {
+            "type": "string",
+            "description": "Order Status",
+            "enum": [
+              "placed",
+              "approved",
+              "delivered"
+            ]
+          },
+          "complete": {
+            "type": "boolean"
+          }
+        },
+        "xml": {
+          "name": "Order"
+        }
+      },
+      "User": {
+        "type": "object",
+        "properties": {
+          "id": {
+            "type": "integer",
+            "format": "int64"
+          },
+          "username": {
+            "type": "string"
+          },
+          "firstName": {
+            "type": "string"
+          },
+          "lastName": {
+            "type": "string"
+          },
+          "email": {
+            "type": "string"
+          },
+          "password": {
+            "type": "string"
+          },
+          "phone": {
+            "type": "string"
+          },
+          "userStatus": {
+            "type": "integer",
+            "format": "int32",
+            "description": "User Status"
+          }
+        },
+        "xml": {
+          "name": "User"
+        }
+      }
     }
   }
\ No newline at end of file
diff --git a/.gitbook/assets/erase.json b/.gitbook/assets/erase.json
index 23c77fb..7ea34ec 100644
--- a/.gitbook/assets/erase.json
+++ b/.gitbook/assets/erase.json
@@ -859,179 +859,5 @@
           }
         }
       }
-    },
-    "definitions": {
-      "ApiResponse": {
-        "type": "object",
-        "properties": {
-          "code": {
-            "type": "integer",
-            "format": "int32"
-          },
-          "type": {
-            "type": "string"
-          },
-          "message": {
-            "type": "string"
-          }
-        }
-      },
-      "Category": {
-        "type": "object",
-        "properties": {
-          "id": {
-            "type": "integer",
-            "format": "int64"
-          },
-          "name": {
-            "type": "string"
-          }
-        },
-        "xml": {
-          "name": "Category"
-        }
-      },
-      "Pet": {
-        "type": "object",
-        "required": [
-          "name",
-          "photoUrls"
-        ],
-        "properties": {
-          "id": {
-            "type": "integer",
-            "format": "int64"
-          },
-          "category": {
-            "$ref": "#/definitions/Category"
-          },
-          "name": {
-            "type": "string",
-            "example": "doggie"
-          },
-          "photoUrls": {
-            "type": "array",
-            "xml": {
-              "wrapped": true
-            },
-            "items": {
-              "type": "string",
-              "xml": {
-                "name": "photoUrl"
-              }
-            }
-          },
-          "tags": {
-            "type": "array",
-            "xml": {
-              "wrapped": true
-            },
-            "items": {
-              "xml": {
-                "name": "tag"
-              },
-              "$ref": "#/definitions/Tag"
-            }
-          },
-          "status": {
-            "type": "string",
-            "description": "pet status in the store",
-            "enum": [
-              "available",
-              "pending",
-              "sold"
-            ]
-          }
-        },
-        "xml": {
-          "name": "Pet"
-        }
-      },
-      "Tag": {
-        "type": "object",
-        "properties": {
-          "id": {
-            "type": "integer",
-            "format": "int64"
-          },
-          "name": {
-            "type": "string"
-          }
-        },
-        "xml": {
-          "name": "Tag"
-        }
-      },
-      "Order": {
-        "type": "object",
-        "properties": {
-          "id": {
-            "type": "integer",
-            "format": "int64"
-          },
-          "petId": {
-            "type": "integer",
-            "format": "int64"
-          },
-          "quantity": {
-            "type": "integer",
-            "format": "int32"
-          },
-          "shipDate": {
-            "type": "string",
-            "format": "date-time"
-          },
-          "status": {
-            "type": "string",
-            "description": "Order Status",
-            "enum": [
-              "placed",
-              "approved",
-              "delivered"
-            ]
-          },
-          "complete": {
-            "type": "boolean"
-          }
-        },
-        "xml": {
-          "name": "Order"
-        }
-      },
-      "User": {
-        "type": "object",
-        "properties": {
-          "id": {
-            "type": "integer",
-            "format": "int64"
-          },
-          "username": {
-            "type": "string"
-          },
-          "firstName": {
-            "type": "string"
-          },
-          "lastName": {
-            "type": "string"
-          },
-          "email": {
-            "type": "string"
-          },
-          "password": {
-            "type": "string"
-          },
-          "phone": {
-            "type": "string"
-          },
-          "userStatus": {
-            "type": "integer",
-            "format": "int32",
-            "description": "User Status"
-          }
-        },
-        "xml": {
-          "name": "User"
-        }
-      }
     }
   }
\ No newline at end of file
diff --git a/developers/api-references.md b/developers/api-references.md
index 36ef92f..aa9416c 100644
--- a/developers/api-references.md
+++ b/developers/api-references.md
@@ -2,71 +2,13 @@
 
 The following endpoints are available at [https://api.alexlab.co/](https://api.alexlab.co/).
 
-Documentation is also available in json format at [https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json).
-
-### General
+Documentation is also available in json format at [https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
 
 
 
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="undefined" method="undefined" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/pool_volume/{pool_token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/volume_24h/{token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/volume_7d/{token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/pool_liquidity/{pool_token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/liquidity/{token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/fee/{pool_token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/stats/tvl" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/stats/tvl/{token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/stats/total_supply/{token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/price/{token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/pool_token_price/{pool_token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/pool_token_stats" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
-{% swagger src="https://api.alexlab.co/swagger-api.json" path="/v1/price_history/{token}" method="get" %}
-[https://api.alexlab.co/swagger-api.json](https://api.alexlab.co/swagger-api.json)
-{% endswagger %}
-
 ### DEX
 
-{% swagger method="get" path="" baseUrl="https://api.alexlab.co/v1/pairs" summary="" %}
+{% swagger method="get" path="" baseUrl="https://api.alexlab.co/v1/pairs" summary="/v1/pairs" %}
 {% swagger-description %}
 Returns all existing pairs
 {% endswagger-description %}
@@ -96,7 +38,7 @@ Returns all existing pairs
 {% endswagger-response %}
 {% endswagger %}
 
-{% swagger method="get" path="" baseUrl="https://api.alexlab.co/v1/tickers" summary="" %}
+{% swagger method="get" path="" baseUrl="https://api.alexlab.co/v1/tickers" summary="/v1/tickers" %}
 {% swagger-description %}
 Returns all markets statistics for the last 24 hours
 {% endswagger-description %}
@@ -126,7 +68,7 @@ Returns all markets statistics for the last 24 hours
 {% endswagger-response %}
 {% endswagger %}
 
-{% swagger method="get" path="" baseUrl="https://api.alexlab.co/v1/historical_swaps" summary="" %}
+{% swagger method="get" path="" baseUrl="https://api.alexlab.co/v1/historical_swaps" summary="/v1/historical_swaps/{ticker}" %}
 {% swagger-description %}
 Returns all existing historical trades
 {% endswagger-description %}
@@ -164,7 +106,7 @@ Specifies number of recent block heights to be returned, default value is 1000
 {% endswagger-response %}
 {% endswagger %}
 
-{% swagger method="get" path="" baseUrl="https://api.alexlab.co/v1/orderbook" summary="" %}
+{% swagger method="get" path="" baseUrl="https://api.alexlab.co/v1/orderbook" summary="/v1/orderbook/{ticker_id}" %}
 {% swagger-description %}
 Returns orderbook information
 {% endswagger-description %}
diff --git a/whitepaper/automated-market-making-of-alex.md b/whitepaper/automated-market-making-of-alex.md
index 3ce311b..57b3889 100644
--- a/whitepaper/automated-market-making-of-alex.md
+++ b/whitepaper/automated-market-making-of-alex.md
@@ -325,7 +325,7 @@ $$
 \begin{split} &\frac{dy}{dr}=L^{\frac{1}{1-t}}\frac{e^{-(1-t)r}}{(1+e^{-(1-t)r})^{\frac{2-t}{1-t}}}\\ &L_{\text{Uniswap}}=\frac{2}{t}L^{\frac{1}{1-t}}\left(e^{\frac{r(1-t)}{2}}+e^{\frac{-r(1-t)}{2}}\right)^{\frac{-2+t}{1-t}}\\ &=\frac{2}{t}L^{\frac{1}{1-t}}\big\{2\cosh\left[\frac{r(1-t)}{2}\right]\big\}^{\frac{-2+t}{1-t}} \end{split}
 $$
 
-![Figure 3](<../.gitbook/assets/liquidity (2) (2) (2) (2) (2) (2) (2) (1) (1).png>)
+![Figure 3](<../.gitbook/assets/liquidity (2) (2) (2) (2) (2) (2) (2) (1).png>)
 
 Figure 3 plots $$L_{\text{Uniswap}}$$ against interest rate $$r$$ regarding various levels of $$t$$. When $$0<t<1$$, $$L_{\text{Uniswap}}$$ is symmetric around 0% at which the maximum reaches . This is because