diff --git a/EIPS/eip-4844.md b/EIPS/eip-4844.md
index c0af580d875d9e..61a628a9355baa 100644
--- a/EIPS/eip-4844.md
+++ b/EIPS/eip-4844.md
@@ -39,8 +39,6 @@ Compared to full data sharding, this EIP has a reduced cap on the number of thes
 
 | Constant | Value |
 | - | - |
-| `SYSTEM_STATE_ADDRESS` | `0x000.....0100`|
-| `TOTAL_BLOB_TXS_STORAGE_SLOT` | `0` |
 | `BLOB_TX_TYPE` | `Bytes1(0x05)` |
 | `FIELD_ELEMENTS_PER_BLOB` | `4096` |
 | `BLS_MODULUS` | `52435875175126190479447740508185965837690552500527637822603658699938581184513` |
@@ -234,6 +232,44 @@ def get_origin(tx: SignedBlobTransaction) -> Address:
     return ecrecover(tx_hash(tx), int(sig.y_parity)+27, sig.r, sig.s)
 ```
 
+### Header extension
+
+The current header encoding is extended with a new 256-bit unsigned integer field `blob_txs`. This is the running
+total of blob txs included on chain since this EIP was activated. The resulting RLP encoding of the header is therefore:
+
+```
+rlp([
+    parent_hash,
+    ommers_hash,
+    coinbase,
+    state_root,
+    tx_root,
+    receipt_root,
+    bloom,
+    difficulty,
+    number,
+    gas_limit,
+    gas_used,
+    time,
+    extra,
+    mix_digest,
+    nonce,
+    base_fee,
+    blob_txs
+])
+```
+
+The value of `blob_txs` can be calculated using the parent header and number of blob transactions in the block.
+
+```python
+def calc_blob_gas(parent: Header, blob_txs_in_block: int) -> int:
+    # Don't let the new total fall behind the targeted total to avoid
+    # accumulating a long period of very low fees
+    blocks_since_start = header.Number - FORK_BLKNUM
+    targeted_total = blocks_since_start * TARGET_BLOB_TXS_PER_BLOCK
+    return max(header.blob_txs + blob_txs_in_block, targeted_total)
+```
+
 ### Beacon chain validation
 
 On the consensus-layer the blobs are now referenced, but not fully encoded, in the beacon block body.
@@ -290,8 +326,8 @@ For early draft implementations, we simply change `get_blob_gas(pre_state)` to a
 ### Gas price update rule (Full version)
 
 We propose a simple independent EIP-1559-style targeting rule to compute the gas cost of the transaction.
-We use the `TOTAL_BLOB_TXS_STORAGE_SLOT` storage slot of the `SYSTEM_STATE_ADDRESS` address
-to store persistent data needed to compute the cost.
+We use the `blob_txs` header field to store persistent data needed to compute the cost.
+
 Note that unlike existing transaction types, the gas cost is dependent on the pre-state of the block.
 
 ```python
@@ -307,14 +343,10 @@ def get_intrinsic_gas(tx: SignedBlobTransaction, pre_state: ExecState) -> int:
     intrinsic_gas += len(tx.message.blob_versioned_hashes) * get_blob_gas(pre_state)
     return intrinsic_gas
 
-def get_blob_gas(pre_state: ExecState) -> int:
+def get_blob_gas(header: Header) -> int:
     blocks_since_start = get_current_block(pre_state) - FORK_BLKNUM
     targeted_total = blocks_since_start * TARGET_BLOB_TXS_PER_BLOCK
-    actual_total = read_storage(
-        pre_state,
-        SYSTEM_STATE_ADDRESS,
-        TOTAL_BLOB_TXS_STORAGE_SLOT
-    )
+    actual_total = header.blob_txs
     if actual_total < targeted_total:
         return 0
     else:
@@ -324,28 +356,6 @@ def get_blob_gas(pre_state: ExecState) -> int:
         )
 ```
 
-We update at the end of a block, as follows:
-
-```python
-def update_blob_gas(state: ExecState, blob_txs_in_block: int):
-    current_total = read_storage(
-        state,
-        SYSTEM_STATE_ADDRESS,
-        TOTAL_BLOB_TXS_STORAGE_SLOT
-    )
-    # Don't let the new total fall behind the targeted total to avoid
-    # accumulating a long period of very low fees
-    blocks_since_start = get_current_block(pre_state) - FORK_BLKNUM
-    targeted_total = blocks_since_start * TARGET_BLOB_TXS_PER_BLOCK
-    new_total = max(current_total + blob_txs_in_block, targeted_total)
-    write_storage(
-        state,
-        SYSTEM_STATE_ADDRESS,
-        TOTAL_BLOB_TXS_STORAGE_SLOT,
-        new_total
-    )
-```
-
 ### Networking
 
 Transactions are presented as `TransactionType || TransactionNetworkPayload` on the execution layer network,
@@ -465,7 +475,6 @@ This EIP also sets the stage for longer-term protocol cleanups:
   and paves the precedent that all new transaction types should be SSZ
 * It defines `TransactionNetworkPayload` to separate network and block encodings of a transaction type
 * Its (cleaner) gas price update rule could be applied to the primary basefee.
-  It also starts the trend toward using the state to store system state instead of having "implied state" such as historical blocks and hashes.
 
 ### How rollups would function