diff --git a/proposals/1640-event-id-as-hashes.md b/proposals/1640-event-id-as-hashes.md
index 5d35883b89d..b90f6c34887 100644
--- a/proposals/1640-event-id-as-hashes.md
+++ b/proposals/1640-event-id-as-hashes.md
@@ -2,42 +2,57 @@
 
 ## Motivation
 
-Having event IDs separate from the hashes leads to issues when a server
-receives multiple events with the same event ID but different hashes.
-While APIs could be changed to better support dealing with this
-situation, it is easier and nicer to simply drop the idea of a separate
-event ID entirely.
+Having event IDs separate from the hashes leads to issues when a server receives
+multiple events with the same event ID but different reference hashes. While
+APIs could be changed to better support dealing with this situation, it is
+easier and nicer to simply drop the idea of a separate event ID entirely, and
+instead use the reference hash of an event as its ID.
 
 ## Identifier Format
 
-Currently hashes in JSON include the hash name, allowing servers to
-choose which hash functions to use. The idea here was to allow a gradual
-change between hash functions without the need to globally coordinate
-shifting from one hash function to another.
+Currently hashes in our event format include the hash name, allowing servers to
+choose which hash functions to use. The idea here was to allow a gradual change
+between hash functions without the need to globally coordinate shifting from one
+hash function to another.
 
-However now that room versions exist, changing hash functions can be
-achieved by bumping the room version. Using this method would allow
-using a simple string as the event ID rather than a full structure,
-significantly easing their usage.
+However now that room versions exist, changing hash functions can be achieved by
+bumping the room version. Using this method would allow using a simple string as
+the event ID rather than a full structure, significantly easing their usage.
 
-One side effect of this would be that there would be no indication about
-which hash function was actually used, and it would need to be inferred
-from the room version. To aid debuggability it may be worth encoding the
-hash function into the ID format.
+One side effect of this would be that there would be no indication about which
+hash function was actually used, and it would need to be inferred from the room
+version. To aid debuggability it may be worth encoding the hash function into
+the ID format.
 
 **Conclusion:** Don't encode the hash function, since the hash will depend on
 the version specific redaction algorithm anyway.
 
+The proposal is therefore that the event IDs are a base 64 encoded `sha256` hash
+prefixed with `$` (to aid distinguishing different types of identifiers). For
+example, an event ID might be: `$CD66HAED5npg6074c6pDtLKalHjVfYb2q4Q3LZgrW6o`.
+
+The hash is calculated in the same way as previous event reference hashes were,
+which is:
+
+1. Redact the event
+2. Remove `signatures` field from the event
+3. Serialize the event to canonical JSON
+4. Compute the hash of the JSON bytes
+
+Event IDs will no longer be included as part of the event, and so must be
+calculated by servers receiving the event.
+
+
 ## Protocol Changes
 
-The `auth_events` and `prev_events` fields on an event need to be
-changed from a list of tuples to a list of strings, i.e. remove the old
-event ID and simply have the list of hashes.
+The `auth_events` and `prev_events` fields on an event need to be changed from a
+list of tuples to a list of strings, i.e. remove the old event ID and simply
+have the list of hashes.
 
 The auth rules also need to change:
 
--   The event no longer needs to be signed by the domain of the event ID
-    (but still needs to be signed by the sender’s domain)
+-   The event no longer needs to be signed by the domain of the event ID (but
+    still needs to be signed by the sender’s domain)
 
 -   We currently allow redactions if the domain of the redaction event ID
     matches the domain of the event ID its redacting. This allows self redaction