SequentialGuid 2.2.1

SequentialGuid

Will generate Sequential Guids based on MongoDB's ObjectId specification. Date & time are encoded into the value so you do not need to store them separately in your database

Define an interface to the signature you like

public interface IIdGenerator
{
    Guid NewId();
}

Define your implementing class which can be transient since the singleton is implemented by the framework

public class SequentialIdGenerator : IIdGenerator
{
    public Guid NewId() => SequentialGuidGenerator.Instance.NewGuid();
}

Wire it up to .NET Core dependency injection in the ConfigureServices method during application startup

public void ConfigureServices(IServiceCollection services)
{
    `services.AddTransient<IIdGenerator, SequentialIdGenerator>();`
}

Finally define a base entity for your application which will contain an id and a timestamp as soon as you initialize it. Note I do not advocate setting a default Id getter this way just illustrating it can be done

public abstract class BaseEntity
{
    public Guid Id { get; set; } = SequentialGuidGenerator.Instance.NewGuid();
    public DateTime? Timestamp => Id.ToDateTime();
    // If you really must have non-UTC time
    public DateTime? LocalTime => Id.ToDateTime()?.ToLocalTime();
}