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UUID v7

This C# project implements UUID v7 as described in Peabody and Davis. This is the latest IETF draft for UUIDs that are time-sortable and have a random component to guarantee uniqueness.

It is available on NuGet as UuidExtensions.

The internal structure of the UUID uses:

36 bits to represent the number of whole seconds since 1 January 1970.
24 bits to represent the fractional number of seconds, giving a resolution of up to 50ns.
14 bits for a sequence number, in case of multiple uuids being generated with the same timestamp instant.
- Needed in cases when the machine's physical clock tick resolution is a lot worse than the 50ns storage resolution.
- Also needed when generating multiple uuids as of a fixed timestamp in the past.
48 bits of randomness.
6 "version" and "variant" bits to indicate this is a UUID v7 rather than v4 or one of the other UUID formats.

0                   1                   2                   3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|                 unix ts (32 + 4 = 36 bits)                    |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|unix ts|   msec (12 bits)      |  ver  |     usec (12 bits)    |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|var|       seq (14 bits)       |          rand (16 bits)       |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|                          rand (32 bits)                       |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

UUID v7 in Guid and String formats

Here is a pair of Uuid7s, one as a Guid and the other as a string, illustrating how their string representations are time-ordered:

var uuid7 = new Uuid7();
Guid g1 = uuid7.Guid();     // e.g. 06338364-8305-788f-8000-9ada942eb663
string s2 = uuid7.String(); //      06338364-8305-7b74-8000-de4963503139
Assert.IsTrue(String.Compare(g1.ToString(), s2) < 0);

Note that internally, Microsoft stores Guids using big endian for the first three components and little endian for the last two. So UUID v7 Guids are only time-ordered using guid.ToString(), not using guid.ToByteArray().

Alternative `Id25` string format

This package also supports an alternative string representation that I call Id25. The goal here is to represent UUID v7 as the shortest possible alphanumeric string that is simple for humans to say and use. That is:

It uses a single case not mixed case. We arbitrarily pick lower case.
No punctuation. Thus a single double-click in a web page selects the whole id. There are also no complications for joining/splitting them if used in compound ids.
If the whole alphabet a-z is not needed, drop first l and then o since these are the letters most easily confused with digits 1 and 0.

To see why Id25 must be 25 characters long, UUIDs have 128 bits. An alphabet of 36 characters (0-9, a-z) would need a string representation $128/log_2(36) = 24.75$ characters long, which gets rounded up to 25. Now $128/log_2(35) = 24.95$, also just under 25. So we can drop one character from the alphabet and keep the string length the same. According to the criteria above, we should drop l, resulting in the 35-character alphabet 0-9, a-k, m-z.

Finally, note this alphabet must put the digits before the letters so that the strings come out properly time-ordered.

var uuid7 = new Uuid7();
string s1 = uuid7.Id25(); // e.g. 0q994uri6sp53j3eu7bty4wsv
string s2 = uuid7.Id25(); //      0q994uri70qe0gjxrq8iv4iyu
Assert.IsTrue(String.Compare(s1, s2) < 0);

Creating UUID v7 as of different timestamps

The timestamp may be specified explicitly by passing in the time expressed as the whole number of nanoseconds since 00:00:00 on 1 January 1970 UTC. Here are two Id25 strings nominally 1ns apart, and a third at the same timestamp as the second.

var uuid7 = new Uuid7();
long t1 = Uuid7.TimeNs();
long t2 = t1 + 1;
string s1 = uuid7.Id25(t1); // e.g. 0q996kioxxyfds1stmjqajen6
string s2 = uuid7.Id25(t2); //      0q996kioxxyfj83w8bqp67d2j
string s3 = uuid7.Id25(t2); //      0q996kioxxyfj83z4pmujhrx4
Assert.IsTrue(String.Compare(s1, s2) < 0);
Assert.IsTrue(String.Compare(s2, s3) < 0);

Note that the second and the third have been generated from the same Uuid7 object. Its internal sequence counter ensures successive UUIDv7/Id25 values remain time-ordered even if they have the same timestamp.

The sequence counter resets when the timestamp changes. In this final example, we cannot tell whether s1 > s3 or not. That is determined by the lower 36 random bits of the two UUIDs.

string s1 = uuid7.Id25(t1);
string s2 = uuid7.Id25(t2);
string s3 = uuid7.Id25(t1);

Sample console application

A simple console app prints out the current timestamp's Uuid7 in both UUID and Id25 forms. It also does a simple timing check to calculate the underlying clock precision.