gistfile1.js

var DeeplyNestedComponent = React.createClass({
  contextTypes: {
    updateStream: React.PropTypes.object
  },
  handleChange: e => {
    e.preventDefault();
    this.context.updateStream.emit(e.target.value);
  },
  // ...
});

var RootComponent = React.createClass({
  render: () => {
    var context = { updateStream: this.props.updateStream };
    var children = React.withContext(context, () => {
      
    });
    return <div>{children}</div>;
  }
});

var emmiter = Kefir.emitter();
var view = React.render(<RootComponent updateStream={emmiter} />, /*...*/);