4-4 point one-space low pincer invasion, interception
Reference diagram
White's 3-3 invasion in response to Black's pincer is usually intercepted at . Up to this pattern has been standard [1] but Black's next move has changed from the solid connection a into the crawling move of . After avoids being locked into the corner, Black usually plays elsewhere although local moves are available too, such as b or c.
at d is an attractive looking hane at the head but is a mistake. [2]
Reasons for connecting underneath
After AlphaGo, the choice of over a became the standard. The advantage is that White now cannot play at , either to connect her stone or cut off Black's wall from the rest of his position on the top, and the hane-connect of White b is not sente in the yose. The disadvantage is the possibility of the white cut at a.
Increasing influence & checking from the side
With , Black extends his influence. Before the AI revolution was considered honte. Nowadays, it is considered slow and White would rather play elsewhere.
If White does not answer , Black can exchange for . Before it was considered painful for White to allow Black this exchange in sente, but still it was seen e.g. Cho Chikun (Black) against Kobayashi Koichi in the 1999 Kisei title match.
Nowadays, the exchange doesn't seem to outweigh White's extra move elsewhere.
The tsume of is rarely played immediately. Nevertheless, it is a common manoeuvre for Black, as a follow-up.
After and , White has sente, but Black has confined her to the corner, and now has strength on both sides and towards the center.
Black patches up his shape with . The continuation to is one possibility.
White has set her sights on the stones, but makes black thick in the center.
Hane at the head
[2]
The hane at the head feels natural but it is generally a mistake when is in place. White's best next move is the hane at 'a'.
There is an article about this shape that analyses it in some depth.
Countermeasure
aims to link up with . If connects solidly at , then at is probably even a better result for White.
White gets territory and sente. Black gets influence and cutting aji.
If and insist on cutting off then White has the clamp tesuji of . If Black draws back at , White connects at . Compared to the normal joseki, Black has made the extra exchange of for - which is aji keshi.
If Black tries to resist with , White cuts at . One possible follow-up is shown. If Black does not play at (but for example at ), White wins the semeai after White at -Black a - White b.
Black has been forced into a clumsy shape, while has been cut off and blighted. The four white stones are far from captured yet.
Wrong countermeasure
Many amateurs have learnt to answer with because if Black descends to , White fearlessly cuts at , either capturing three stones as in this diagram or capturing and making territory at the 4th line.
However Black can counter at and gets superior shape up to , trumping White's corner territory. Compared to the proper countermeasure Black is much better off here.
[1] A less common variation is at 4-4 point one-space low pincer invasion, interception, hane underneath.