The Open Group Base Specifications Issue 7, 2018 edition says that "time_t shall be an integer type". Issue 8, 2024 edition says "time_t shall be an integer type with a width of at least 64 bits".
C merely says that time_t is a "real type capable of representing times". A "real type", as C defines the term, can be either integer or floating-point. It doesn't specify how time_t represents times; for example, a conforming implementation could represent 2024-12-27 02:17:31 UTC as 0x20241227021731.
It's been suggested that time_t should be unsigned so a 32-bit integer can represent times after 2038 (at the cost of not being able to represent times before 1970). Fortunately this did not catch on, and with the current POSIX requiring 64 bits, it wouldn't make much sense.
But the relevant standards don't forbid an unsigned time_t.
The Open Group Base Specifications Issue 7, 2018 edition says that "time_t shall be an integer type". Issue 8, 2024 edition says "time_t shall be an integer type with a width of at least 64 bits".
C merely says that time_t is a "real type capable of representing times". A "real type", as C defines the term, can be either integer or floating-point. It doesn't specify how time_t represents times; for example, a conforming implementation could represent 2024-12-27 02:17:31 UTC as 0x20241227021731.
It's been suggested that time_t should be unsigned so a 32-bit integer can represent times after 2038 (at the cost of not being able to represent times before 1970). Fortunately this did not catch on, and with the current POSIX requiring 64 bits, it wouldn't make much sense.
But the relevant standards don't forbid an unsigned time_t.