Clarify hash documentation after review

- Say "may hash differently" for null, false, and numbers, since a
  collision across types is possible.
- Name the storage types (signed integer, unsigned integer,
  floating-point number) instead of example literals.
- Explain that the hash survives converting an integer to
  number_float_t but not the lossy conversion back, and that unequal
  numbers may share a hash.
- State that the example hash values are illustrative only and vary by
  platform, compiler, compiler version, and library version.

Signed-off-by: Niels Lohmann <mail@nlohmann.me>

docs/mkdocs/docs/api/basic_json/std_hash.md

@@ -7,9 +7,14 @@ namespace std {
 ```
 
 Return a hash value for a JSON object. The hash function tries to rely on `std::hash` where possible. Furthermore, the
-type of the JSON value is taken into account, so `#!json null`, `#!cpp false`, and numbers all hash differently from
+type of the JSON value is taken into account, so `#!json null`, `#!cpp false`, and numbers may hash differently from
 each other. Numbers that compare equal under [`operator==`](operator_eq.md) always hash equally, regardless of
-whether they are stored as `#!cpp 0`, `#!cpp 0U`, or `#!cpp 0.0`.
+whether they are stored as signed integer, unsigned integer, or floating-point number.
+
+Numbers are hashed by their value converted to `number_float_t`. Converting an integer to `number_float_t` therefore
+keeps its hash, but converting a floating-point number to an integer type is lossy and can change it: `#!cpp 0.5`
+converts to `#!cpp 0`, which need not have the same hash. Unequal numbers can also share a hash value, for example two
+large integers that convert to the same `number_float_t`.
 
 ## Examples
 
@@ -27,7 +32,8 @@ whether they are stored as `#!cpp 0`, `#!cpp 0U`, or `#!cpp 0.0`.
     --8<-- "examples/std_hash.output"
     ```
 
-    Note the output is platform-dependent.
+    The hash values shown are examples only. They depend on the platform, the compiler, and the compiler version, and
+    they can change between versions of this library. Do not persist them or rely on specific values.
 
 ## See also
 

include/nlohmann/detail/hash.hpp

@@ -35,7 +35,7 @@ std::size_t hash_iteratively(const BasicJsonType& j);
 @brief hash a JSON value
 
 The hash function tries to rely on std::hash where possible. Furthermore, the
-type of the JSON value is taken into account, so null, false, and numbers all
+type of the JSON value is taken into account, so null, false, and numbers may
 hash differently from each other, but any two numbers that compare equal
 under operator== hash equally regardless of which of number_integer,
 number_unsigned, or number_float actually holds the value.
@@ -123,6 +123,10 @@ std::size_t hash(const BasicJsonType& j, const std::size_t depth = 0)
             // the same number_float_t, so all numbers share one type tag and
             // hash that converted value. Adding zero turns -0.0 (equal to 0)
             // into 0.0, as std::hash need not map both to the same hash.
+            // The converse does not hold: converting a number_float_t value
+            // to an integer type is lossy, so the result can hash
+            // differently, and unequal numbers that convert to the same
+            // number_float_t (e.g., 2^53 and 2^53 + 1) share a hash.
             const auto number_type = static_cast<std::size_t>(BasicJsonType::value_t::number_float);
             const auto value = j.template get<number_float_t>() + static_cast<number_float_t>(0);
             const auto h = std::hash<number_float_t> {}(value);

single_include/nlohmann/json.hpp

@@ -7636,7 +7636,7 @@ std::size_t hash_iteratively(const BasicJsonType& j);
 @brief hash a JSON value
 
 The hash function tries to rely on std::hash where possible. Furthermore, the
-type of the JSON value is taken into account, so null, false, and numbers all
+type of the JSON value is taken into account, so null, false, and numbers may
 hash differently from each other, but any two numbers that compare equal
 under operator== hash equally regardless of which of number_integer,
 number_unsigned, or number_float actually holds the value.
@@ -7724,6 +7724,10 @@ std::size_t hash(const BasicJsonType& j, const std::size_t depth = 0)
             // the same number_float_t, so all numbers share one type tag and
             // hash that converted value. Adding zero turns -0.0 (equal to 0)
             // into 0.0, as std::hash need not map both to the same hash.
+            // The converse does not hold: converting a number_float_t value
+            // to an integer type is lossy, so the result can hash
+            // differently, and unequal numbers that convert to the same
+            // number_float_t (e.g., 2^53 and 2^53 + 1) share a hash.
             const auto number_type = static_cast<std::size_t>(BasicJsonType::value_t::number_float);
             const auto value = j.template get<number_float_t>() + static_cast<number_float_t>(0);
             const auto h = std::hash<number_float_t> {}(value);