diff --git a/34.md b/34.md
index 42011c1b..73f15c07 100644
--- a/34.md
+++ b/34.md
@@ -8,12 +8,13 @@ Algorithmic Filter
 
 This NIP introduces a set of simple algorithms meant to support diverse apps' event sorting needs.
 
-`Relays` MUST store an extra event field for each algo. Today there are two: `asc` and `seen_at`.
+`Relays` MUST store an extra event field for each algo. There are two algo event fields: `asc` and `seen_at`.
 
 According to [NIP-01](01.md), filters with `limit` attribute are replied with events
 sorted in **descending** order by the `created_at` event field (newest events first).
 
-But now when a `client` requests events while filtering by an algo field, the `relay` MUST replace the `created_at` field in the query with the algo field. For example, a SQL relay should turn this:
+But now when a `client` requests events to be filtered by an algo field, the `relay` MUST replace the `created_at` field in the query with the algo field. For example, when filtering by the `asc`
+algo, a SQL relay should turn this:
 
 `SELECT * FROM events WHERE kind in (1) ORDER BY        created_at        DESC LIMIT 5`
 
@@ -21,8 +22,6 @@ Into this:
 
 `SELECT * FROM events WHERE kind in (1) ORDER BY            asc           DESC LIMIT 5`
 
-Upon replying to such requests, the supporting `relay` MUST add `algo: { score: "<asc value>" }` field to each returned event JSON.
-
 ## Querying
 
 An extra `algo` filter key holds the selected algorithm as value. For example, the above
@@ -30,9 +29,30 @@ query is ran in response to the following request:
 
 `["REQ", <sub_id>, { kinds: [1], limit: 5, algo: "asc" }]`
 
+Upon replying to such requests, the supporting `relay` MUST add an extra `score` field,
+namespaced in an `algo` key, holding the selected algo's event field value. It must be
+added to each returned event JSON.
+
+The algo field is calculated as described in the [Algorithms](#algorithms) section below.
+
+For example, considering above request, one of the events replied should be as follows:
+
+```js
+{
+  id: "...",
+  // ... (other regular event fields)
+  kind: 1,
+  algo: {
+    score: 1695408196 // the stored event.asc field value
+  }
+}
+```
+
 ## Algorithms
 
-### Asc
+This section describes how the extra event field is calculated for each algo before saving it to the database.
+
+### Ascending (asc)
 
 `Relay` computes `asc` field once upon receiving the event. The lower the `created_at`, the higher `asc` will be.
 
@@ -47,7 +67,7 @@ function getAsc (createdAt) {
 event.asc = getAsc(event.created_at)
 ```
 
-### Seen At
+### Seen At (seen_at)
 
 `Relay` computes `seen_at` field once upon receiving the event. The event field is set with the timestamp of the moment the `relay` first became aware of it, in seconds.