Logic Masters Deutschland e.V.

This puzzle is a sudoku, but feels a lot like a pencil puzzle. It is based off of a pencil puzzle that I have seen named arrowpath or signpost and doesn't appear on puzzlink or on this site (as far as I can tell). I show an example below that is a nice swift 4x4 solve. The main puzzle is 6x6, while 9x9 is possible, the particular style (all cells clued) is incredibly messy. I am publishing this as a simple snack for those who enjoy new ideas and a possible inspiration for other variants.

I gave a hint at the end in case the 6x6 holds you up, it is still possible without this deduction, but more difficult and doesn't showcase one of the main deductions in the pencil puzzle genre this is based on. Feel free to look at this hint after you've solved. Reveal the hint by highlighting the text.

Example solving link: Penpa+

Rules:

Normal sudoku rules apply.

Connect all the squares together into six sequences starting with 1 and ending in 6, so that every cell that contains an arrow points towards the next digit in the numerical sequence (though the next square can be any distance away in that direction). For example, r1c1 could be a 2 pointing to a 3 in r2c2 or it could be a 4 pointing to a 5 in r5c5.

Solving link:

Penpa+

Hint: highlight text -> Is another arrow looking at r5c3? What does that mean?