Fix BIP44 coin type (#480)

* fix docsearch

* update BIP44 coin type

* changelog

* set HD path

docs/basics/accounts.md

@@ -6,16 +6,45 @@ order: 1
 
 This document describes the in-built accounts system of Ethermint. {synopsis}
 
-## Cosmos SDK Accounts
+## Pre-requisite Readings
 
-<!-- TODO: -->
+- [Cosmos SDK Accounts](https://docs.cosmos.network/master/basics/accounts.html) {prereq}
+- [Ethereum Accounts](https://ethereum.org/en/whitepaper/#ethereum-accounts) {prereq}
 
 ## Ethermint Accounts
 
-<!-- TODO: -->
+Ethermint defines its own custom `Account` type that uses Ethereum's ECDSA secp256k1 curve for keys. This
+satisfies the [EIP84](https://github.com/ethereum/EIPs/issues/84) for full [BIP44](https://github.com/bitcoin/bips/blob/master/bip-0044.mediawiki) paths.
+The root HD path for Ethermint-based accounts is `m/44'/60'/0'/0`.
+
++++ https://github.com/ChainSafe/ethermint/blob/v0.1.0/types/account.go#L31-L36
+
+## Addresses and Public Keys
+
+There are 3 main types of `Addresses`/`PubKeys` available by default on Ethermint:
+
+- Addresses and Keys for **accounts**, which identify users (e.g. the sender of a `message`). They are derived using the **`eth_secp256k1`** curve.
+- Addresses and Keys for **validator operators**, which identify the operators of validators. They are derived using the **`eth_secp256k1`** curve.
+- Addresses and Keys for **consensus nodes**, which identify the validator nodes participating in consensus. They are derived using the **`ed25519`** curve.
+
+|                    | Address bech32 Prefix | Pubkey bech32 Prefix | Curve           | Address byte length | Pubkey byte length |
+|--------------------|-----------------------|----------------------|-----------------|---------------------|--------------------|
+| Accounts           | `eth`                 | `ethpub`             | `eth_secp256k1` | `20`                | `33` (compressed)  |
+| Validator Operator | `ethvaloper`          | `ethvaloperpub`      | `eth_secp256k1` | `20`                | `33` (compressed)  |
+| Consensus Nodes    | `ethvalcons`          | `ethvalconspub`      | `ed25519`       | `20`                | `32`               |
 
 ## Address formats for clients
 
+`EthAccount`s have can be represented in both [Bech32](https://en.bitcoin.it/wiki/Bech32) and hex format for Ethereum's Web3 tooling compatibility.
+
+The Bech32 format is the default format for Cosmos-SDK queries and transactions through CLI and REST
+clients. The hex format on the other hand, is the Ethereum `common.Address` representation of a
+Cosmos `sdk.AccAddress`.
+
+- Address (Bech32): `eth1crwhac03z2pcgu88jfnqnwu66xlthlz2rhljah`
+- Address (Hex): `0xc0dd7ee1f112838470e7926609bb9ad1bebbfc4a`
+- Public Key (Bech32): `ethpub1pfqnmk6pqnwwuw0h9hj58t2hyzwvqc3truhhp5tl5hfucezcfy2rs8470nkyzju2vmk645fzmw2wveaqcqek767kwa0es9rmxe9nmmjq84cpny3fvj6tpg`
+
 ## Next {hide}
 
 Learn about Ethermint [transactions](./transactions.md) {hide}