fix(api): enhance ClaudeModels response to align with api.anthropic.com

internal/registry/model_registry.go

@@ -1033,10 +1033,10 @@ func (r *ModelRegistry) convertModelToMap(model *ModelInfo, handlerType string)
 			"owned_by": model.OwnedBy,
 		}
 		if model.Created > 0 {
-			result["created"] = model.Created
+			result["created_at"] = model.Created
 		}
 		if model.Type != "" {
-			result["type"] = model.Type
+			result["type"] = "model"
 		}
 		if model.DisplayName != "" {
 			result["display_name"] = model.DisplayName

sdk/api/handlers/claude/code_handlers.go

@@ -128,8 +128,23 @@ func (h *ClaudeCodeAPIHandler) ClaudeCountTokens(c *gin.Context) {
 // Parameters:
 //   - c: The Gin context for the request.
 func (h *ClaudeCodeAPIHandler) ClaudeModels(c *gin.Context) {
+	models := h.Models()
+	firstID := ""
+	lastID := ""
+	if len(models) > 0 {
+		if id, ok := models[0]["id"].(string); ok {
+			firstID = id
+		}
+		if id, ok := models[len(models)-1]["id"].(string); ok {
+			lastID = id
+		}
+	}
+
 	c.JSON(http.StatusOK, gin.H{
-		"data": h.Models(),
+		"data":     models,
+		"has_more": false,
+		"first_id": firstID,
+		"last_id":  lastID,
 	})
 }