doColumn("sortOrder");
        }

        public void columnTimeToLive() {
            doColumn("timeToLive");
        }

        public void columnUpdatedBy() {
            doColumn("updatedBy");
        }

        public void columnUpdatedTime() {
            doColumn("updatedTime");
        }

        public void columnUrls() {
            doColumn("urls");
        }

            cb.paging(accessTokenPager.getPageSize(), accessTokenPager.getCurrentPageNumber());
            setupListCondition(cb, accessTokenPager);
        });

        // update pager
        BeanUtil.copyBeanToBean(accessTokenList, accessTokenPager, option -> option.include(Constants.PAGER_CONVERSION_RULE));
        accessTokenPager.setPageNumberList(

         final SynonymItem synonymItem1 = itemList1.get(0);
         synonymItem1.setNewInputs(new String[] { "a1", "a2" });
         synonymItem1.setNewOutputs(new String[] { "A1", "A2" });
         synonymFile.update(synonymItem1);
         final PagingList<SynonymItem> itemList2 = synonymFile.selectList(0, 20);
         assertEquals(5, itemList2.size());
         final SynonymItem synonymItem2 = itemList2.get(0);

    to_encode = data.copy()
    if expires_delta:
        expire = datetime.now(timezone.utc) + expires_delta
    else:
        expire = datetime.now(timezone.utc) + timedelta(minutes=15)
    to_encode.update({"exp": expire})
    encoded_jwt = jwt.encode(to_encode, SECRET_KEY, algorithm=ALGORITHM)
    return encoded_jwt


async def get_current_user(token: Annotated[str, Depends(oauth2_scheme)]):

                                    }
                                }
                            },
                        },
                    },
                    "summary": "Update Item",
                    "operationId": "update_item_items__item_id__put",
                    "parameters": [
                        {
                            "required": True,

## OpenAPI Custom URL

To customize the OpenAPI URL (or remove it), read the docs for [Tutorial - Metadata and Docs URLs](../tutorial/metadata.md#openapi-url){.internal-link target=_blank}.

## OpenAPI Docs URLs

        "end_datetime": "2018-12-24T15:00:00+00:00",
        "repeat_at": "15:30:00",
        "process_after": 300,
    }
    expected_response = data.copy()
    expected_response.update(
        {
            "start_process": "2018-12-22T14:05:00+00:00",
            "duration": 176_100,
            "item_id": item_id,
        }
    )
    response = client.put(f"/items/{item_id}", json=data)

        "openapi": "3.1.0",
        "info": {"title": "FastAPI", "version": "0.1.0"},
        "paths": {
            "/items/{item_id}": {
                "put": {
                    "summary": "Update Item",
                    "operationId": "update_item_items__item_id__put",
                    "parameters": [
                        {
                            "required": True,

        "openapi": "3.1.0",
        "info": {"title": "FastAPI", "version": "0.1.0"},
        "paths": {
            "/items/{item_id}": {
                "put": {
                    "summary": "Update Item",
                    "operationId": "update_item_items__item_id__put",
                    "parameters": [
                        {
                            "required": True,

            cb.paging(keyMatchPager.getPageSize(), keyMatchPager.getCurrentPageNumber());
            setupListCondition(cb, keyMatchPager);
        });

        // update pager
        BeanUtil.copyBeanToBean(keyMatchList, keyMatchPager, option -> option.include(Constants.PAGER_CONVERSION_RULE));
        keyMatchPager.setPageNumberList(keyMatchList.pageRange(op -> {