Here is a list of what I have been able to find so far through Airliners and jetphotos. It seems to have started about 2 years ago.
registration code cn type
H1081010 10 J-11BH
H1084095 95 J-11BSH
H1104193 93 0103 J-15D
H1104194 94 J-15D
H1104206 06 020031 J-15T
H1104210 10 J-15T
H4712006 06 "1450743164006" JL-8
H4712037 37 JL-8
H4712038 38 JL-8
H4712039 39 JL-8
H5342026 26 Ka-28
H2032082 82 Y-8Q
H3031023 23 Y-9
H2011010 10 561808 Y-9/KJ100
38 Z18FA-11 Z-18FA
43? Z18FA-16 Z-18FA
H5073138 38 Z-20F
H5073142 42 Z-20F
65 Z8J-007 Z-8J
67 Z8J-009 Z-8J
9516 Z8JH-001 Z-8JH
H5364073 73 Z9-0398 Z-9D
9746 Z9-0399 Z-9D
H5364074 74 Z9-0399 Z-9D
H5364075 75 Z9-0585 Z-9D
H5364076 76 Z9-0586 Z-9D
H5364077 77 Z-9D
H5364079 79 Z9-0589 Z-9D
H5364082 Z-9D
H5374043 43 Z-9DQ
H5363086 86 Z9-0787 Z-9DQ
H5363092 92 Z-9DQ
92 Z9-0788 Z-9DQ
H5363093 93 Z9-0789 Z-9DQ
94 Z9-0790 Z-9DQ
95 Z9-0791 Z-9DQ
96 Z9-0792 Z-9DQ
98 Z9-0794 Z-9DQ
H5363099 99 Z9-0795 Z-9DQ
01 Z9-0796 Z-9DQ
H5373061 61 Z-9F
H5373062 62 Z9-0799 Z-9F
There certainly seems to be a system in this. This first digit may denote role:
1 - fighters
2 - special purpose/patrol some kind
3 - transport
4 - trainer
5 - helicopter
Then two or three digits that are linked to the type and subtype.
The last three digits a sequential number. The highest is 206 for a J-15T which would indicate they have over 200 of them already?
Noteworthy is that I have not been able to find any such numbers on the Z-8/Z-18s, nor on any of the larger planes (Y-8, Y-9). Two were quoted with such a number though, so perhaps it is painted on, but just not visible on pictures.
Another note, Z-9DQ H5374043 has it painted on like that, though H5364043 would be more in sequence. Not sure what to think of that.
All the Z-9 construction numbers are from older pictures. Since the introduction of the serials the construction numbers have been removed from the tails.