diff --git a/packages/coding-agent/docs/compaction.md b/packages/coding-agent/docs/compaction.md
index de9d02d47..788348eea 100644
--- a/packages/coding-agent/docs/compaction.md
+++ b/packages/coding-agent/docs/compaction.md
@@ -1,6 +1,6 @@
 # Compaction & Branch Summarization
 
-LLMs have limited context windows. When conversations grow too long, pi uses compaction to summarize older content while preserving recent work. This page covers both auto-compaction and branch summarization.
+LLMs have limited context windows. When conversations grow too long, Pi uses compaction to summarize older content while preserving recent work. This page covers both auto-compaction and branch summarization.
 
 **Source files** ([pi-mono](https://github.com/earendil-works/pi-mono)):
 - [`packages/coding-agent/src/core/compaction/compaction.ts`](https://github.com/earendil-works/pi-mono/blob/main/packages/coding-agent/src/core/compaction/compaction.ts) - Auto-compaction logic
@@ -48,7 +48,7 @@ You can also trigger manually with `/compact [instructions]`, where optional ins
 Before compaction:
 
   entry:  0     1     2     3      4     5     6      7      8     9
-        ┌─────┬─────┬─────┬─────┬──────┬─────┬─────┬──────┬──────┬─────┐
+        ┌─────┬─────┬─────┬─────┬──────┬─────┬──── ─┬──────┬─────┬─────┐
         │ hdr │ usr │ ass │ tool │ usr │ ass │ tool │ tool │ ass │ tool│
         └─────┴─────┴─────┴──────┴─────┴─────┴──────┴──────┴─────┴─────┘
                 └────────┬───────┘ └──────────────┬──────────────┘
@@ -59,7 +59,7 @@ Before compaction:
 After compaction (new entry appended):
 
   entry:  0     1     2     3      4     5     6      7      8     9     10
-        ┌─────┬─────┬─────┬─────┬──────┬─────┬─────┬──────┬──────┬─────┬─────┐
+        ┌─────┬─────┬─────┬─────┬──────┬─────┬──── ─┬──────┬─────┬─────┬─────┐
         │ hdr │ usr │ ass │ tool │ usr │ ass │ tool │ tool │ ass │ tool│ cmp │
         └─────┴─────┴─────┴──────┴─────┴─────┴──────┴──────┴─────┴─────┴─────┘
                └──────────┬──────┘ └──────────────────────┬───────────────────┘
@@ -102,7 +102,7 @@ Split turn (one huge turn exceeds budget):
   turnPrefixMessages = [usr, ass, tool, ass, tool, tool]
 ```
 
-For split turns, pi generates two summaries and merges them:
+For split turns, Pi generates two summaries and merges them:
 1. **History summary**: Previous context (if any)
 2. **Turn prefix summary**: The early part of the split turn
 
@@ -149,7 +149,7 @@ See [`prepareCompaction()`](https://github.com/earendil-works/pi-mono/blob/main/
 
 ### When It Triggers
 
-When you use `/tree` to navigate to a different branch, pi offers to summarize the work you're leaving. This injects context from the left branch into the new branch.
+When you use `/tree` to navigate to a different branch, Pi offers to summarize the work you're leaving. This injects context from the left branch into the new branch.
 
 ### How It Works