Hi, I am using Stata 16.1 on Windows 10. I have attached two datasets: (1) a simple example of the structure of my input data as it is currently structured, and (2) the way I would like to structure it. I have tried using reshape and stack with no success.

Code:
* Example generated by -dataex-. For more info, type help dataex
clear
input float(obs attribute date id1 id2 id3 id4 id5)
 1 1 2001.1    . -.87 -.02 -.92 -.49
 2 1 2001.2  -.4 -.85 -.05 -.08 -.86
 3 1 2001.3 -.22  -.5 -.13 -.76 -.32
 4 1 2001.4 -.53 -.15 -.92 -.37 -.65
 5 2 2002.1 -.72 -.18 -.12 -.99 -.24
 6 2 2002.2 -.22 -.45 -.03 -.81 -.27
 7 2 2002.3 -.19 -.45 -.12    . -.24
 8 2 2002.4 -.12 -.56 -.96 -.08 -.22
 9 3 2003.1 -.46 -.19 -.85 -.81 -.27
10 3 2003.2 -.64 -.13 -.68 -.86 -.43
11 3 2003.3 -.55 -.93  -.7 -.02 -.14
12 3 2003.4 -.57 -.35 -.72 -.33 -.37
end
and (2) the desired structure I'm trying to get

Code:
* Example generated by -dataex-. For more info, type help dataex
clear
input float(obs1 panelobs attribute1 id date1 x)
 1  1 1 1 2001.1    .
 2  2 1 1 2001.2  -.4
 3  3 1 1 2001.3 -.22
 4  4 1 1 2001.4 -.53
 5  5 1 2 2001.1 -.87
 6  6 1 2 2001.2 -.85
 7  7 1 2 2001.3  -.5
 8  8 1 2 2001.4 -.15
 9  9 1 3 2001.1 -.02
10 10 1 3 2001.2 -.05
11 11 1 3 2001.3 -.13
12 12 1 3 2001.4 -.92
13 13 1 4 2001.1 -.92
14 14 1 4 2001.2 -.08
15 15 1 4 2001.3 -.76
16 16 1 4 2001.4 -.37
17 17 1 5 2001.1 -.49
18 18 1 5 2001.2 -.86
19 19 1 5 2001.3 -.32
20 20 1 5 2001.4 -.65
21  1 2 1 2002.1 -.72
22  2 2 1 2002.2 -.22
23  3 2 1 2002.3 -.19
24  4 2 1 2002.4 -.12
25  5 2 2 2002.1 -.18
26  6 2 2 2002.2 -.45
27  7 2 2 2002.3 -.45
28  8 2 2 2002.4 -.56
29  9 2 3 2002.1 -.12
30 10 2 3 2002.2 -.03
31 11 2 3 2002.3 -.12
32 12 2 3 2002.4 -.96
33 13 2 4 2002.1 -.99
33 13 2 4 2002.1 -.99
35 15 2 4 2002.3    .
36 16 2 4 2002.4 -.08
37 17 2 5 2002.1 -.24
38 18 2 5 2002.2 -.27
39 19 2 5 2002.3 -.24
40 20 2 5 2002.4 -.22
41  1 3 1 2003.1 -.46
42  2 3 1 2003.2 -.64
43  3 3 1 2003.3 -.55
44  4 3 1 2003.4 -.57
45  5 3 2 2003.1 -.19
46  6 3 2 2003.2 -.13
47  7 3 2 2003.3 -.93
48  8 3 2 2003.4 -.35
49  9 3 3 2003.1 -.85
50 10 3 3 2003.2 -.68
51 11 3 3 2003.3  -.7
52 12 3 3 2003.4 -.72
53 13 3 4 2003.1 -.81
54 14 3 4 2003.2 -.86
55 15 3 4 2003.3 -.02
56 16 3 4 2003.4 -.33
57 17 3 5 2003.1 -.27
58 18 3 5 2003.2 -.43
59 19 3 5 2003.3 -.14
60 20 3 5 2003.4 -.37
end

Thanks for your help or suggestions.
David.