c.items[key] = item
	}
	item.refMap[referencedFrom]++
}

func (c *objectCache) DeleteReference(namespace, name string, referencedFrom types.UID) {
	key := objectKey{namespace: namespace, name: name}

	c.lock.Lock()
	defer c.lock.Unlock()
	if item, ok := c.items[key]; ok {
		item.refMap[referencedFrom]--
		if item.refMap[referencedFrom] == 0 {
			delete(item.refMap, referencedFrom)
		}

        "tax": 3.2
    }
}
```

instead of:

```JSON
{
    "name": "Foo",
    "description": "The pretender",
    "price": 42.0,
    "tax": 3.2
}
```

## Recap

You can add multiple body parameters to your *path operation function*, even though a request can only have a single body.

import java.security.ProtectionDomain;
import java.util.concurrent.ConcurrentHashMap;
import java.util.concurrent.ConcurrentMap;
import java.util.jar.JarEntry;
import java.util.jar.JarFile;

/**
 * A helper class that can remap classes loaded from the original JARs of the TransformedClassPath to the classes from the corresponding transformed JARs.
 * <p>
 * This class is thread-safe.
 */
public class TransformReplacer implements Closeable {

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="11"
    {!> ../../../docs_src/path_params_numeric_validations/tutorial006.py!}
    ```

## Recap

With `Query`, `Path` (and others you haven't seen yet) you can declare metadata and string validations in the same ways as with [Query Parameters and String Validations](query-params-str-validations.md){.internal-link target=_blank}.

You can try it already in the interactive docs:

<img src="/img/tutorial/security/image03.png">

We are not verifying the validity of the token yet, but that's a start already.

## Recap

		}
		// Various kernel heuristics and cases are handled separately.
		if base, match := kernelBase(loadSegment, stextOffset, start, limit, offset); match {
			return base, nil
		}
		// ChromeOS can remap its kernel to 0, and the caller might have not found
		// the _stext symbol. Split this case from kernelBase() above, since we don't
		// want to apply it to an ET_DYN user-mode executable.

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="10"
    {!> ../../../docs_src/query_params_str_validations/tutorial014.py!}
    ```

## Recap

You can declare additional validations and metadata for your parameters.

Generic validations and metadata:

* `alias`
* `title`
* `description`
* `deprecated`

* The alternative documentation will also reflect the new query parameter and body:

![ReDoc](https://fastapi.tiangolo.com/img/index/index-06-redoc-02.png)

### Recap

In summary, you declare **once** the types of parameters, body, etc. as function parameters.

You do that with standard modern Python types.

// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

// Package exec runs external commands. It wraps os.StartProcess to make it
// easier to remap stdin and stdout, connect I/O with pipes, and do other
// adjustments.
//
// Unlike the "system" library call from C and other languages, the
// os/exec package intentionally does not invoke the system shell and