Repository: NethermindEth/juno
Pull request #129 (2022-04-08 08:36:51)

feat: add binary trie
![trie diagram](https://user-images.githubusercontent.com/23554017/162724076-f3642a5c-7e12-475e-9170-5e91170cee59.png)

Trie representation versus [the example in the StarkNet documentation](https://docs.starknet.io/docs/State/starknet-state/#example-trie) for 3-bit keys.

  - [x] Add encoding and hashes.
  - [x] Integrate data store.
  - [x] Add `Delete` method.
  - [x] Extend to arbitrary sized keys.
  - [ ] Add proof verification.

## Changes:

- Add the binary Merkle-Patricia trie used in the StarkNet protocol.

## Types of changes

- [x] New feature (non-breaking change which adds functionality)

## Testing

**Requires testing**

- [x] Yes
- [ ] No

**In case you checked yes, did you write tests??**

- [x] Yes
- [ ] No

**Comments about testing , should you have some** (optional)

Functional tests:

```go

func main() {
  tests := [...]struct {
    key, val *big.Int
  }{
    {big.NewInt(2) /* 0b010 */, big.NewInt(1)},
    {big.NewInt(5) /* 0b101 */, big.NewInt(1)},
  }
  db := store.New()
  t := trie.New(db, 3)

  // Put.
  for _, test := range tests {
    fmt.Printf("put(key=%d, val=%d)\n", test.key, test.val)
    t.Put(test.key, test.val)
  }

  // Get.
  for _, test := range tests {
    val, _ := t.Get(test.key)
    fmt.Printf("get(key=%d) = %d\n", test.key, val)
  }

  // Delete.
  fmt.Printf("delete(key=%d)\n", tests[0].key)
  t.Delete(tests[0].key)
}
```

Debug trace:

```
----------------------------------------
PUT
----------------------------------------
put(key=2, val=1)
------------------
enc = (0, 0, 1)
hash = 1

enc = (1, 0, 1)
hash = 8a95

enc = (2, 2, 1)
hash = 8028

enc = (3, 2, 1)
hash = 8029

put(key=5, val=1)
------------------
enc = (0, 0, 1)
hash = 1

enc = (1, 1, 1)
hash = 8ead

enc = (2, 1, 1)
hash = 8eae

enc = (0, 0, 7ab5)
hash = 7ab5

----------------------------------------
GET
----------------------------------------
get(key=2) = 1
get(key=5) = 1

----------------------------------------
DELETE
----------------------------------------
delete(key=2)

re-enc: (3, 5, 1)
hash = 2f28
```

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```

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|---|---|---|
| unittests | `100.00% <ø> (ø)` | |

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Patch:
diff --git a/pkg/crypto/pedersen/pedersen.go b/pkg/crypto/pedersen/pedersen.go
index 2a6d0fd4..7d709e7e 100644
--- a/pkg/crypto/pedersen/pedersen.go
+++ b/pkg/crypto/pedersen/pedersen.go
@@ -4,76 +4,37 @@ package pedersen
 
 import (
 	_ "embed"
-	"encoding/json"
-	"errors"
+	"fmt"
 	"math/big"
-
-	"github.com/NethermindEth/juno/pkg/crypto/weierstrass"
-)
-
-// point represents the affine coordinates of an elliptic curve point.
-type point struct{ x, y *big.Int }
-
-var (
-	// b is a byte array that represents the file that contains the
-	// constant points, points.json.
-	//go:embed points.json
-	b []byte
-	// points is a slice of *big.Int that contains the constant points in
-	// the points.json file.
-	points [506]point
-	// curve is the elliptic (STARK) curve used to compute the Pedersen
-	// hash.
-	curve weierstrass.Curve
-	// zero is a *big.Int that represents the constant 0.
-	zero *big.Int
-	// ErrInvalid indicates an input value that is not a field element
-	// with p = 2²⁵¹ + 17·2¹⁹² + 1.
-	ErrInvalid = errors.New("invalid argument")
 )
 
-func init() {
-	var hex [506][2]string
-	json.Unmarshal(b, &hex)
-	for i, p := range hex {
-		x, _ := new(big.Int).SetString(p[0], 16)
-		y, _ := new(big.Int).SetString(p[1], 16)
-		points[i] = point{x, y}
-	}
-	curve = weierstrass.Stark()
-	zero = big.NewInt(0)
-}
-
 // Digest returns a field element that is the result of hashing an input
 // (a, b) ∈ 𝔽²ₚ where p = 2²⁵¹ + 17·2¹⁹² + 1. This function will panic
-// if len(data) > 2 and return an error if (a, b) ∉ 𝔽²ₚ or the point at
-// infinity.
-func Digest(data ...*big.Int) (*big.Int, error) {
+// if len(data) > 2. In order to hash n > 2 items, use [ArrayDigest].
+func Digest(data ...*big.Int) *big.Int {
 	n := len(data)
 	if n > 2 {
 		panic("attempted to hash more than 2 field elements")
 	}
+
 	// Make a defensive copy of the input data.
 	elements := make([]*big.Int, n)
 	for i, e := range data {
 		elements[i] = new(big.Int).Set(e)
 	}
-	pt1 := points[0] // Shift point.
+
+	// Shift point.
+	pt1 := points[0]
+	zero := new(big.Int)
 	for i, x := range elements {
-		if !(x.Cmp(zero) != -1 && x.Cmp(curve.Params().P) == -1) {
-			// notest
-			// x is not in the range 0 < x < 2²⁵¹ + 17·2¹⁹² + 1.
-			return nil, ErrInvalid
+		if !(x.Cmp(zero) != -1 && curve.Params().P.Cmp(x) == 1) {
+			panic(fmt.Sprintf("%x is not in the range 0 < x < 2²⁵¹ + 17·2¹⁹² + 1", x))
 		}
 
 		for j := 0; j < 252; j++ {
 			pt2 := points[2+i*252+j]
-			if pt1.x.Cmp(pt2.x) == 0 {
-				// notest
-				// Input cannot be hashed.
-				return nil, ErrInvalid
-			}
-			copy := new(big.Int).Set(x) // Copy because *big.Int.And mutates.
+			// Create a copy because *big.Int.And mutates.
+			copy := new(big.Int).Set(x)
 			if copy.And(copy, big.NewInt(1)).Cmp(big.NewInt(0)) != 0 {
 				x1, x2 := curve.Add(pt1.x, pt1.y, pt2.x, pt2.y)
 				pt1 = point{x1, x2}
@@ -81,7 +42,7 @@ func Digest(data ...*big.Int) (*big.Int, error) {
 			x.Rsh(x, 1)
 		}
 	}
-	return pt1.x, nil
+	return pt1.x
 }
 
 // ArrayDigest returns a field element that is the result of hashing an
@@ -91,18 +52,10 @@ func Digest(data ...*big.Int) (*big.Int, error) {
 // section of the StarkNet documentation for more details.
 //
 // [array hashing]: https://docs.starknet.io/docs/Hashing/hash-functions#array-hashing
-func ArrayDigest(data ...*big.Int) (*big.Int, error) {
-	n := len(data)
-
-	currentHash := zero
-
+func ArrayDigest(data ...*big.Int) *big.Int {
+	digest := new(big.Int)
 	for _, item := range data {
-		partialResult, err := Digest(currentHash, item)
-		if err != nil {
-			return nil, err
-		}
-		currentHash = partialResult
+		digest = Digest(digest, item)
 	}
-
-	return Digest(currentHash, big.NewInt(int64(n)))
+	return Digest(digest, big.NewInt(int64(len(data))))
 }
diff --git a/pkg/crypto/pedersen/points.go b/pkg/crypto/pedersen/points.go
new file mode 100644
index 00000000..47829c0b
--- /dev/null
+++ b/pkg/crypto/pedersen/points.go
@@ -0,0 +1,2053 @@
+package pedersen
+
+import (
+	"math/big"
+
+	"github.com/NethermindEth/juno/pkg/crypto/weierstrass"
+)
+
+// point represents the affine coordinates of an elliptic curve point.
+type point struct{ x, y *big.Int }
+
+var (
+	// points is a slice of *big.Int that contains the constant points.
+	points [506]point
+	// curve is the elliptic (STARK) curve used to compute the Pedersen
+	// hash.
+	curve weierstrass.Curve
+)
+
+func init() {
+	hex := [506][2]string{
+		{
+			"49ee3eba8c1600700ee1b87eb599f16716b0b1022947733551fde4050ca6804",
+			"3ca0cfe4b3bc6ddf346d49d06ea0ed34e621062c0e056c1d0405d266e10268a",
+		},
+		{
+			"1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca",
+			"5668060aa49730b7be4801df46ec62de53ecd11abe43a32873000c36e8dc1f",
+		},
+		{
+			"234287dcbaffe7f969c748655fca9e58fa8120b6d56eb0c1080d17957ebe47b",
+			"3b056f100f96fb21e889527d41f4e39940135dd7a6c94cc6ed0268ee89e5615",
+		},
+		{
+			"3909690e1123c80678a7ba0fde0e8447f6f02b3f6b960034d1e93524f8b476",
+			"7122e9063d239d89d4e336753845b76f2b33ca0d7f0c1acd4b9fe974994cc19",
+		},
+		{
+			"40fd002e38ea01a01b2702eb7c643e9decc2894cbf31765922e281939ab542c",
+			"109f720a79e2a41471f054ca885efd90c8cfbbec37991d1b6343991e0a3e740",
+		},
+		{
+			"2f52066635c139fc2f64eb0bd5e3fd7a705f576854ec4f00aa60361fddb981b",
+			"6d78a24d8a5f97fc600318ce16b3c840315979c3273078ec1a285f217ee6a26",
+		},
+		{
+			"6a0767a1fd60d5b9027a35af1b68e57a1c366ebcde2006cdd07af27043ef674",
+			"606b72c0ca0498b8c1817ed7922d550894c324f5efdfc85a19a1ae382411ca2",
+		},
+		{
+			"7fa463ee2a2d6a585d5c3358918270f6c28c66df1f86803374d1edf3819cc62",
+			"a996edf01598832e644e1cae9a37288865ad80e2787f9bf958aceccc99afae",
+		},
+		{
+			"3d4da70d1540da597dbae1651d28487604a4e66a4a1823b97e8e9639393dbec",
+			"45cdef70c35d3b6f0a2273a9886ccb6306d813e8204bdfd30b4efee63c8a3f9",
+		},
+		{
+			"1e448fdbcd9896c6fbf5f36cb7e7fcb77a751ff2d942593cae023363cc7750e",
+			"30c81da0f3a8cb64468eaa491c7ae7b4842b62cb4148820da211afc4caffb3a",
+		},
+		{
+			"6531acf1a7cb90a4eb27de0b7f915e387a3b0fd063ba6e1289b91f48411be26",
+			"31330f5daa091889981a3ea782ae997f5f171336ed0487a03f051551a2cafa2",
+		},
+		{
+			"54be016394d5662d67d7e82f5e889ed2f97ccf95d911f57dd2362c4040ed4f4",
+			"c6cb184053f054d6a59c1bf0986d17090d25089b3fdcdaf185edc87ef113e5",
+		},
+		{
+			"35b9ecd0499ca1d5d42dcbb0c6b4042b3733c64b607ca711e706e786ef2afc6",
+			"5624b476a5b21c3a544f0712d4817b06ad380a5a6529d323bf64da8ef862d8d",
+		},
+		{
+			"4ce0378e3ee8f77ed58f2ddbd8bb7676c8a38bfb1d3694c275254bd8ca38e23",
+			"5a16fcbff0769c9cf2b02c31621878ec819fff4b8231bff82c6183db2746820",
+		},
+		{
+			"648d5c6f98680a1b926bfeb01c00224c56fdcf751b251c4449c8a94f425cfcf",
+			"72c05ac793cd1620a833fbe2214d36900ebe446e095c62fcb740937f98cca8c",
+		},
+		{
+			"bd09be3e4e1af8a14189977e334f097c18e4a8bf42577ef5aafa0f807bd89b",
+			"6e0e72ed7eb65c86cee29c411fb4761122558ee81013344ba8509c49de9f9b6",
+		},
+		{
+			"35ea4e339b44ae7724419bdfbe07022253137a4afb7cbaffad341ea61249357",
+			"3665d676a026a174f367bb4417780e53a7803cb02d0db32eb4545c267c42f14",
+		},
+		{
+			"36457bc744f42e697b825c2d1afd8f4029d696a4514710f81da52d88e178643",
+			"7c93715896735492a68c7969a024b3a8fd538bffc1521538107de1a5f13ce9c",
+		},
+		{
+			"5b3a08ebcf9c109cc9082f70d9df2b9c11b5428ee23917b4e790c4c10f6e661",
+			"9d7b42ab0c20f5510df7ea5e196eec99342739077e9a168198c89da859753",
+		},
+		{
+			"21883ef8580fc06e59481955d52ece3aca6e82c8c9fc58e216dcf46f96990c6",
+			"51a6423543e6e8a43e71da34cd90f5b520b8d33b67c4bf857573ab9e301aa4c",
+		},
+		{
+			"19e86b77f9b581e81092b305c852faf53940a8f15f0a6990c414f04c0fa7ef9",
+			"515630e35d4398c9c79fc4ee08e1023fa47d8e03c6e7819c6d2ccef45398fa",
+		},
+		{
+			"888ab8eb4c31bb2ac5b54aa320dbe1a69c96b864e8a5f54d89c1d1a6b86c24",
+			"730e148467f6a55ce22c5296f5380df88f38de76ef0b2de844cd3094aaaf3ea",
+		},
+		{
+			"75e79ff13a894e7120dac17b7429c0c32ce7828f726c9973728c0977a5f5977",
+			"4960526e59c1c736561a201bc56f7d762641b39f609d273cc996f5d9197cfb8",
+		},
+		{
+			"640fe009249115d7254f72ecafb3006139e4bed7e9041af51458c737282d1d5",
+			"3cc6c978a575246e2ce4f7ef1fcc7f63085db9ff98a1b1f3fe374087c0332c",
+		},
+		{
+			"6d6fd09ccab7c26de9b3906191235deb5c34685580c488275356a05e209ca96",
+			"7157f81a34213dd8f91dea4f6df1bcfabc4ee091a3049eeeb3b7923d39b8645",
+		},
+		{
+			"5531ca1d00f151d71da820918f74caf2985b24dca20e124721fff507b5a5876",
+			"518529643d3f25e47f72c322223ba60a63d6bfe78cf3f612215d9c19bf29200",
+		},
+		{
+			"6192d454e4f8fe212bdfccd5b15dd5056d7622ffe456c6c67e5a7265aea49c4",
+			"2377a45dc630017ae863cb968ddb38333a70c7946d8684e6d7a6213f634b7bc",
+		},
+		{
+			"542fb44b4ef3640a64fdb22a2560fb26668065c069cf31d1df424819a39ff18",
+			"5dbae9b0948e0361aea443503840341c322aa1a1366ce5390e71bf161f78f8c",
+		},
+		{
+			"299ff3e3412a7eb4cb4a3051b07b1be2e7b1c4b789f39ffb52cba3d048b71de",
+			"1951d3175c02761b291d86b6c0a08387ad5e2a2130ccc33c852530572cb3958",
+		},
+		{
+			"628ce3f5367dadc1411133e55eb25e2e3c2880d6e28754a5cb1c5d109627e73",
+			"ae3e9b7d50964e28bd15380400b7659b87affdef5d2586cbefcd9be7d67c0d",
+		},
+		{
+			"6ea54aff064895eccf9db2283225d62044ae67621192b3346338948382f5933",
+			"6431507e51aadacfaf39f102a8ff387756e9b5e1bc8323d44acae55130d93db",
+		},
+		{
+			"28097d50d175a6235320fe8cfe138dd9e46895d189582e472c38ad7a67d923a",
+			"7f9eab4133d7d09a7ff63368d6135c26262b62336eca1b5ca33f2096ce388ba",
+		},
+		{
+			"619fd09cdd6ff4323973f256c2cbdcb224f7f25b8aef623af2d4a0105e62e02",
+			"2c95f0ae11d47eeae1bc7f1350f75f9185c5bc840382ceb38a797cae9c40308",
+		},
+		{
+			"641c18982ced304512a3f2395942a38add0d6a7156229c2a7c8b8dfbe9beb96",
+			"6f6288c9c659b6af5ac975f4180deffe53d516399b2cc62f31732e9d4ba9837",
+		},
+		{
+			"58ab546e51fe49fc5a382e4064a2bd6cfc268904412f86c26de14f28a71d0f2",
+			"124b7217943e7e328408e8afdfa7da00dcbc94a2bb85fd8e01fb162d2c2c0a9",
+		},
+		{
+			"a82c2fdedbb26c3c762a12f7e86b0e01e65320e0a25a8399d665f6e266bf74",
+			"1a1de28e253f3e10f44d0111e8074f882d7f42e5900780ccbdc31da372d3fd8",
+		},
+		{
+			"744c725a7455a992e3cf5bd007bc234dd4668dba285f553f38350ad94c1615b",
+			"7f721a87f48798bdc4a9c0eb88559e2ad7a74112fd901e70ea159e67a9c33f",
+		},
+		{
+			"434df142ddaa60f7881b6348d91687de40457de7ccfb07f0304b9e820705d0c",
+			"7fae425e3b53f97dd1f5b20e49ed9fe24ff1efc341ba5e017ac89cf8df0cc39",
+		},
+		{
+			"7a1e2b809dff46277021cbc376f79c37e1b683bbd6bca5317014f0dc0e1ae73",
+			"56790278a231912c334eff05281e08af1558e85516b4411ef64647c13bea431",
+		},
+		{
+			"4931b7990348d41cf8907be79f45bb7991fd18f8a57868351c92fa7a34cbcd7",
+			"ca35091815cdf0837d396e25aad6052ad32d497a33b123256cffdc008bc50e",
+		},
+		{
+			"250b815d352fd89f8210b624b147ea7d0a4f47bcac49f3ac9b777840da93ebe",
+			"1173f10e9691948b7da7632f328520455aadcba46e017f891e0a1d7da2bef04",
+		},
+		{
+			"2223b85032fa67292f6e1f822628e6756e5c3cc08fc252ab88d63d624e4dfb2",
+			"55619ba96a7dcec77832fcb22cd5c21c7dcebc0280d730cba0002b67e0a8c63",
+		},
+		{
+			"249b131e04de73af9820d3e22492d9ec51bdc0c4c4f34d95352fa44dd61f245",
+			"7576d3b5d136368ff01170a77d8286d0d1c7c40688862fb40813b4af3c6065e",
+		},
+		{
+			"6777915d9b4769027eb7e04733f8a2d669c84fe06080f55e8a55674dfbf9efb",
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+		},
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+		},
+		{
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+			"11b352b08a0a61d3cd67d1dc08069dec3bde907b3da0f56de5011b956bf8744",
+		},
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+			"3de3ecb12f2fa699b46a9d399abf77ca17bebc3e491bfb2542dd0fba991e2bb",
+		},
+		{
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+		{
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+			"6244dd6cad282539049be57487bfd9900bb0d5da805d02b535096368fcb4cd5",
+		},
+		{
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+		},
+		{
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+			"7180baca0ba81284809f92eca1654cd76b925a9242e5d5e0f18d0a55d13c6ec",
+		},
+		{
+			"5f9466017ec09769611389ea5370ad68dda936d3f5816c9e928ff9574abf9a7",
+			"6619b5b145bb5f4f29deb7a4cd68ef4da3995312fa6537f0d01684da4267ece",
+		},
+		{
+			"74f229babe01b4962b3307589c1a13019134b1db6822698388bebb55d21c30f",
+			"156ae857ab3279f754facba0db36398dffec8c31e5e160473198f2f891b7531",
+		},
+		{
+			"334b9fe3a5fd99bc966ddd1309698fd32afd1f235062f2c275b6616a185de45",
+			"221a60053583cc0607f6f2e6966b62fc9dac00538bb7eb1148e007a92116d2",
+		},
+		{
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+		{
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+		{
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+		},
+		{
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+		},
+		{
+			"6f6d3a38621582ace092eb50ecfe9eff265df141ebdcab8653299116fcea291",
+			"4a1bf3f39bc919c8f1b720a0b1ce952cad17f2ba98308ee6b76dd9b6f3d7b75",
+		},
+		{
+			"6a307fc28e1df8d9ad01766419e097797d65cb674436fa1c8f012d3de2c2a1f",
+			"26911a635ba824db004875d79dd84834a97ac12643e42829015bf88c1fd6f05",
+		},
+		{
+			"2a74860e3336d6db916555894cc8028f41508812925db1925457afe40257155",
+			"5f8da573f4c39816ce2dba8a20224223a7cfec53117ec78973930c0e9b60244",
+		},
+		{
+			"4d2b49e1ed0799f719b8269f092cb489a466a645bc0ccabafdc678864c176d7",
+			"5410083df7d256f18cbf5697ae5e52c31e075d8a3b27e21d6f5177ca882f6c1",
+		},
+		{
+			"110ecb9fbf6c333d168cee473cc5ad98809b6cb9eb5d1f6cd28ab5fab504fd3",
+			"7e3c54d7533d9f8c3310f219dab0cc3ea4d39b418a748eeffd6bae2b8637a43",
+		},
+		{
+			"5be4d711b80da70e6d3ac493250bbfd16f20b25f31919b3a91cf14ffbac1096",
+			"7f55a0919f082e8885f1515e83c5b39b6022404503507498e1b4422d79c43e2",
+		},
+		{
+			"2605125b95ca4ba93a21cbbba5762898a7cf9e988f07ab9e64cb3868e3b139d",
+			"62f0ccf55b9fc0eaf9736fc8ee484e2acdbe259813af9803cf815829a5e9d3b",
+		},
+		{
+			"1092bbbf206f2a3068167c3dd99a72de31e206f6c504c071c8214d105ff814d",
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+		},
+		{
+			"2abdee9409d9c92559ca3f4e6bddd649c31aa09b90bfcb4a612af491241e18d",
+			"3ffa8eac180a29de3f8a69efca84bac046f921f5725e96a6ff0530be1436aaf",
+		},
+		{
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+			"6a8e0a9389ba528b156fa94ac090a895d7b795818d4941c29415d9e2984c547",
+		},
+		{
+			"a80380c71bd466a696b3f0fbf02817c9459d9798f4f3899cf32edf647fe066",
+			"6a09805e814e7cdfc76eba4b79f1df5ae559e0f0aba9f728d3cba4ea5c57471",
+		},
+		{
+			"223694b921d247d989a79b9b2b2f07496036c40cb043eab074a9d6a2cd2ffed",
+			"c247217f1b1df35e30d9e15fdaadf42d6fb0edd3a5a7e265d4cdc426c120aa",
+		},
+		{
+			"102333620df278c6714bbc880fc087db58c1b9b4d77ed4d61b32a74bfc7c3e2",
+			"6a77d37727ccf71c2caeb151faf4404d4b94e9047f9f0a7c3966367f3b53c65",
+		},
+		{
+			"891626f466536929ee7eadcd18b41925706dedab7528ed5f0f7abf039eb9d2",
+			"5f73d11c141c933a35b2d0d06e5cbae614a20d17dc3b439f8bcdc3413c5ea37",
+		},
+		{
+			"215c23fd3f073f870e5e80303967391bf173f8adcdbeec72d131c557babc203",
+			"10634332e9d9439a321597dc5b0fac9ff478834c3d6e281735f21a4a5e13266",
+		},
+		{
+			"21ea0bdc1332bc36e6aeb43be9071651c27e4ea2eadec636c8d818d4af72a36",
+			"3a523d9643dccc6bb9c7c58413312caa3e60ba9c7c7f0177e0f3f469a3241e3",
+		},
+		{
+			"60deaed1bffb6190beed40caaf2bfab5e43d3707aff7ad3f278d571aa247eae",
+			"e41f71ff254c1418e6a66992af307789fe04d6606fb2670900bb1a089fd879",
+		},
+		{
+			"1e1fac4a1646253fb1332fadc21fbdd3e3a24a840d129400f520ae4116a4cf5",
+			"69c406f9f46576afad68808de0ab7e8922b6226af748e721d9097e21f1800f3",
+		},
+		{
+			"5db0ddcdf79ffe74d6454c12d2bc60b06776db03c75dc413f5be42ea9a91b5e",
+			"134c3d6c699841f17306835bb193785228ffe7ab212a01a861c56b086a18cec",
+		},
+		{
+			"626814e320fb5bea505b248fd1c1389ad586c1cfe04923fe2f83173e915f4f8",
+			"7ae407a926e887206a8b85cf485f1f327c9bb8ccbb6897024e2d122877d8ee0",
+		},
+		{
+			"23186237dc7d3b570cea645282ad4c359731bbfa54e7f036426bf6493812cd",
+			"7d1fbab7e61a22d3b00993290d9f4cd5d820061573e787f66c2cff9a18e1eaf",
+		},
+		{
+			"54302dcb0e6cc1c6e44cca8f61a63bb2ca65048d53fb325d36ff12c49a58202",
+			"1b77b3e37d13504b348046268d8ae25ce98ad783c25561a879dcc77e99c2426",
+		},
+		{
+			"13961b56b9fc0e412e468c385c22bd0680a25624ec211ffbb6bc877b2a6926c",
+			"62f7f7792c77cd981fad13cb6863fe099c4d971c1374109185eae99943f16e9",
+		},
+		{
+			"47abd7308c70659af3f00fafe6837298af3cb530b6c2ba710ffd07a6bc1ae98",
+			"75d0c8a7377aa9f0663d0c124a5659750847afabc29e39893fd27534a4a03cb",
+		},
+		{
+			"2c6276b764fb398fa555857dbe0ce0ec18fab7a233bf23851295739801f0585",
+			"5d8f4897ce44007ec5bfcb9aeb78b8f6e1d40a514f72d213c9300d2770d2b8c",
+		},
+	}
+	for i, p := range hex {
+		x, _ := new(big.Int).SetString(p[0], 16)
+		y, _ := new(big.Int).SetString(p[1], 16)
+		points[i] = point{x, y}
+	}
+	curve = weierstrass.Stark()
+}
diff --git a/pkg/crypto/pedersen/points.json b/pkg/crypto/pedersen/points.json
deleted file mode 100644
index 41d6071d..00000000
--- a/pkg/crypto/pedersen/points.json
+++ /dev/null
@@ -1,2026 +0,0 @@
-[
-  [
-    "49ee3eba8c1600700ee1b87eb599f16716b0b1022947733551fde4050ca6804",
-    "3ca0cfe4b3bc6ddf346d49d06ea0ed34e621062c0e056c1d0405d266e10268a"
-  ],
-  [
-    "1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca",
-    "5668060aa49730b7be4801df46ec62de53ecd11abe43a32873000c36e8dc1f"
-  ],
-  [
-    "234287dcbaffe7f969c748655fca9e58fa8120b6d56eb0c1080d17957ebe47b",
-    "3b056f100f96fb21e889527d41f4e39940135dd7a6c94cc6ed0268ee89e5615"
-  ],
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-  ],
-  [
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-    "109f720a79e2a41471f054ca885efd90c8cfbbec37991d1b6343991e0a3e740"
-  ],
-  [
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-  ],
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-  ],
-  [
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-    "a996edf01598832e644e1cae9a37288865ad80e2787f9bf958aceccc99afae"
-  ],
-  [
-    "3d4da70d1540da597dbae1651d28487604a4e66a4a1823b97e8e9639393dbec",
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-  ],
-  [
-    "1e448fdbcd9896c6fbf5f36cb7e7fcb77a751ff2d942593cae023363cc7750e",
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-  ],
-  [
-    "6531acf1a7cb90a4eb27de0b7f915e387a3b0fd063ba6e1289b91f48411be26",
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-  ],
-  [
-    "54be016394d5662d67d7e82f5e889ed2f97ccf95d911f57dd2362c4040ed4f4",
-    "c6cb184053f054d6a59c1bf0986d17090d25089b3fdcdaf185edc87ef113e5"
-  ],
-  [
-    "35b9ecd0499ca1d5d42dcbb0c6b4042b3733c64b607ca711e706e786ef2afc6",
-    "5624b476a5b21c3a544f0712d4817b06ad380a5a6529d323bf64da8ef862d8d"
-  ],
-  [
-    "4ce0378e3ee8f77ed58f2ddbd8bb7676c8a38bfb1d3694c275254bd8ca38e23",
-    "5a16fcbff0769c9cf2b02c31621878ec819fff4b8231bff82c6183db2746820"
-  ],
-  [
-    "648d5c6f98680a1b926bfeb01c00224c56fdcf751b251c4449c8a94f425cfcf",
-    "72c05ac793cd1620a833fbe2214d36900ebe446e095c62fcb740937f98cca8c"
-  ],
-  [
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-  ],
-  [
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-    "3665d676a026a174f367bb4417780e53a7803cb02d0db32eb4545c267c42f14"
-  ],
-  [
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-    "7c93715896735492a68c7969a024b3a8fd538bffc1521538107de1a5f13ce9c"
-  ],
-  [
-    "5b3a08ebcf9c109cc9082f70d9df2b9c11b5428ee23917b4e790c4c10f6e661",
-    "9d7b42ab0c20f5510df7ea5e196eec99342739077e9a168198c89da859753"
-  ],
-  [
-    "21883ef8580fc06e59481955d52ece3aca6e82c8c9fc58e216dcf46f96990c6",
-    "51a6423543e6e8a43e71da34cd90f5b520b8d33b67c4bf857573ab9e301aa4c"
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diff --git a/pkg/store/store.go b/pkg/store/store.go
new file mode 100644
index 00000000..92a52e68
--- /dev/null
+++ b/pkg/store/store.go
@@ -0,0 +1,41 @@
+// Package store provides an interface for a key-value store and an
+// ephemeral key-value store type that can be used when persistence
+// beyond the running program is not required.
+package store
+
+// Storer specifies the API for a []byte key-value store.
+type Storer interface {
+	Delete(key []byte)
+	Get(key []byte) ([]byte, bool)
+	Put(key, val []byte)
+}
+
+// Ephemeral defines an temporary key-value store.
+type Ephemeral struct {
+	// NOTE: Go does not support []byte keys so as a workaround, a string
+	// is used and the Struct's method will handle the conversion.
+	table map[string][]byte
+}
+
+// New creates a new ephemeral storage instance which conforms to the
+// [Storer] interface.
+func New() Ephemeral {
+	return Ephemeral{table: make(map[string][]byte)}
+}
+
+// Delete removes a key and associated value from ephemeral storage.
+func (e Ephemeral) Delete(key []byte) {
+	delete(e.table, string(key))
+}
+
+// Get retrieves a value associated with the given key and a bool
+// indicating whether the item was found.
+func (e Ephemeral) Get(key []byte) (item []byte, ok bool) {
+	item, ok = e.table[string(key)]
+	return
+}
+
+// Put commits a key-value pair to ephemeral storage.
+func (e Ephemeral) Put(key, val []byte) {
+	e.table[string(key)] = val
+}
diff --git a/pkg/trie/node.go b/pkg/trie/node.go
new file mode 100644
index 00000000..6052ffcb
--- /dev/null
+++ b/pkg/trie/node.go
@@ -0,0 +1,38 @@
+package trie
+
+import (
+	"encoding/json"
+	"math/big"
+
+	"github.com/NethermindEth/juno/pkg/crypto/pedersen"
+)
+
+// encoding represents the enccoding of a node in a binary tree
+// represented by the triplet (length, path, bottom).
+type encoding struct {
+	Length uint8    `json:"length"`
+	Path   *big.Int `json:"path"`
+	Bottom *big.Int `json:"bottom"`
+}
+
+// node represents a node in a binary tree.
+type node struct {
+	encoding
+	Hash *big.Int `json:"hash"`
+}
+
+// bytes returns a JSON byte representation of a node.
+func (n *node) bytes() []byte {
+	b, _ := json.Marshal(n)
+	return b
+}
+
+// hash updates the node hash.
+func (n *node) hash() {
+	if n.Length == 0 {
+		n.Hash = new(big.Int).Set(n.Bottom)
+		return
+	}
+	h := pedersen.Digest(n.Bottom, n.Path)
+	n.Hash = h.Add(h, new(big.Int).SetUint64(uint64(n.Length)))
+}
diff --git a/pkg/trie/trie.go b/pkg/trie/trie.go
new file mode 100644
index 00000000..877ba6db
--- /dev/null
+++ b/pkg/trie/trie.go
@@ -0,0 +1,204 @@
+// Package trie implements the [Merkle-PATRICIA tree] used in the
+// StarkNet protocol.
+//
+// The shape of the trie is independent of the key insertion or deletion
+// order. In other words, the same set of keys is guaranteed to produce
+// the same tree irrespective of the order of which keys are put and
+// removed from the tree. This property guarantees that the commitment
+// will thus remain consistent across trees that use a different
+// insertion and deletion order.
+//
+// # Worst-case time bounds for get and put operations
+//
+// The get operation is subject to the structure of the underlying data
+// store. For all intents and purposes this can be assumed to be
+// "constant" but in reality, if for example, a hashing based symbol
+// table is used as a backend to this structure, then the get operation
+// will take as much time as insertions take on that data structure.
+//
+// Put and delete operations on the other hand take at most 1 + (w * 3)
+// database accesses where w represents the bit-length of the key.
+//
+// # Space
+//
+// The tree only stores non-empty nodes so the space complexity is n * w
+// where w is the key length.
+//
+// [Merkle-Patricia tree]: https://docs.starknet.io/docs/State/starknet-state#merkle-patricia-tree
+package trie
+
+import (
+	"encoding/json"
+	"math/big"
+
+	"github.com/NethermindEth/juno/pkg/crypto/pedersen"
+	"github.com/NethermindEth/juno/pkg/store"
+)
+
+// A visualisation of the trie with 3-bit keys which results in a tree
+// of height 2 where empty nodes are not stored in the database.
+//
+//                           (0,0,r)
+//                           /     \
+//                        0 /       \ 1
+//                         /         \
+//                   (2,2,1)         (2,1,1)
+//                     / \             / \
+//                    /   \ 1       0 /   \
+//                         \         /
+//                       (1,0,1) (1,1,1)
+//                         / \     / \
+//                      0 /   \   /   \ 1
+//                       /             \
+//                   (0,0,1)        (0,0,1)
+//                     / \            / \
+//                    /   \          /   \
+//
+// Put and delete operations work by first committing (or removing) the
+// bottom node from the backend store and then traversing upwards to
+// compute the new node encodings and hashes which result in a new tree
+// commitment.
+
+// Trie represents a binary trie.
+type Trie struct {
+	keyLen int
+	store  store.Storer
+}
+
+// New constructs a new binary trie.
+func New(store store.Storer, keyLen int) Trie {
+	return Trie{keyLen: keyLen, store: store}
+}
+
+// commit persits the given key-value pair in storage.
+func (t *Trie) commit(key, val []byte) {
+	if len(key) == 0 {
+		key = []byte("root")
+	}
+	t.store.Put(key, val)
+}
+
+// remove deletes a key-value pair from storage.
+func (t *Trie) remove(key []byte) {
+	if len(key) == 0 {
+		key = []byte("root")
+	}
+	t.store.Delete(key)
+}
+
+// retrieve gets a node from storage and returns true if the node was
+// found.
+func (t *Trie) retrive(key []byte) (node, bool) {
+	if len(key) == 0 {
+		key = []byte("root")
+	}
+	b, ok := t.store.Get(key)
+	if !ok {
+		return node{}, false
+	}
+	var n node
+	if err := json.Unmarshal(b, &n); err != nil {
+		// notest
+		return node{}, false
+	}
+	return n, true
+}
+
+// diff traverses the tree upwards from the given path (key) starting
+// from the node that immediately precedes the bottom node and either
+// deletes the node if it its child nodes are empty or recomputes the
+// encoding and hashes otherwise.
+func (t *Trie) diff(key *big.Int) {
+	for height := t.keyLen - 1; height >= 0; height-- {
+		parent := prefix(key, height)
+
+		leftChild, leftChildIsNotEmpty := t.retrive(append(parent, 48 /* "0" */))
+		rightChild, rightChildIsNotEmpty := t.retrive(append(parent, 49 /* "1" */))
+
+		if !leftChildIsNotEmpty && !rightChildIsNotEmpty {
+			t.remove(parent)
+		} else {
+			// Overwrite the parent node.
+			n := new(node)
+
+			// Compute its encoding.
+			switch {
+			case !rightChildIsNotEmpty:
+				n.encoding = encoding{
+					leftChild.Length + 1, leftChild.Path, new(big.Int).Set(leftChild.Bottom),
+				}
+			case !leftChildIsNotEmpty:
+				n.encoding = encoding{
+					rightChild.Length + 1,
+					rightChild.Path.Add(
+						rightChild.Path,
+						new(big.Int).Exp(
+							new(big.Int).SetUint64(2),
+							new(big.Int).SetUint64(uint64(rightChild.Length)), nil)),
+					new(big.Int).Set(rightChild.Bottom),
+				}
+			default:
+				n.encoding = encoding{
+					0, new(big.Int), pedersen.Digest(leftChild.Hash, rightChild.Hash),
+				}
+			}
+
+			// Compute its hash.
+			n.hash()
+
+			// Commit to the database.
+			t.commit(parent, n.bytes())
+		}
+	}
+}
+
+// Delete removes a key-value pair from the trie.
+func (t *Trie) Delete(key *big.Int) {
+	// The internal representation of big.Int has the least significant
+	// bit in the 0th position but this algorithm assumes the oppose so
+	// a copy with the bits reversed is used instead.
+	rev := reversed(key, t.keyLen)
+
+	t.remove(prefix(rev, t.keyLen))
+	t.diff(rev)
+}
+
+// Get retrieves a value from the trie with the corresponding key.
+func (t *Trie) Get(key *big.Int) (*big.Int, bool) {
+	// The internal representation of big.Int has the least significant
+	// bit in the 0th position but this algorithm assumes the opposite so
+	// a copy with the bits reversed is passed into the function.
+	node, ok := t.retrive(prefix(reversed(key, t.keyLen), t.keyLen))
+	if !ok {
+		return nil, false
+	}
+	return node.Bottom, true
+}
+
+// Put inserts a [big.Int] key-value pair in the trie.
+func (t *Trie) Put(key, val *big.Int) {
+	if val.Cmp(new(big.Int)) == 0 {
+		t.Delete(key)
+		return
+	}
+
+	// The internal representation of big.Int has the least significant
+	// bit in the 0th position but this algorithm assumes the oppose so a
+	// copy with the bits reversed is used instead.
+	rev := reversed(key, t.keyLen)
+
+	leaf := node{encoding: encoding{0, new(big.Int), val}}
+	leaf.hash()
+	t.commit(prefix(rev, t.keyLen), leaf.bytes())
+	t.diff(rev)
+}
+
+// Commitment returns the root hash of the trie. If the tree is empty,
+// this value is nil.
+func (t *Trie) Commitment() *big.Int {
+	root, ok := t.retrive([]byte{})
+	if !ok {
+		return new(big.Int)
+	}
+	return root.Hash
+}
diff --git a/pkg/trie/utils.go b/pkg/trie/utils.go
new file mode 100644
index 00000000..6e234e4f
--- /dev/null
+++ b/pkg/trie/utils.go
@@ -0,0 +1,31 @@
+package trie
+
+import (
+	"bytes"
+	"math/big"
+	"strconv"
+)
+
+// prefix returns a byte representation of a binary key up to a given
+// height in the tree.
+func prefix(key *big.Int, height int) []byte {
+	var buf bytes.Buffer
+	for i := 0; i < height; i++ {
+		buf.WriteString(strconv.FormatUint(uint64(key.Bit(i)), 10))
+	}
+	return buf.Bytes()
+}
+
+// reversed returns a copy of a *big.Int where the bits are in reverse
+// order up to a certain length n. For example, a 4-bit representation
+// of the number 11 as a *big.Int would be 0b1101, this function returns
+// a *big.Int represented by the number 0b1011 which is 13. This
+// function is generally used in situations where the most significant
+// bit has to be in the 0th position.
+func reversed(x *big.Int, n int) *big.Int {
+	rev := new(big.Int)
+	for i, j := n-1, 0; j < n; i, j = i-1, j+1 {
+		rev.SetBit(rev, j, x.Bit(i))
+	}
+	return rev
+}


Test patch:
diff --git a/pkg/crypto/pedersen/pedersen_test.go b/pkg/crypto/pedersen/pedersen_test.go
index 034590d0..dab9444e 100644
--- a/pkg/crypto/pedersen/pedersen_test.go
+++ b/pkg/crypto/pedersen/pedersen_test.go
@@ -3,15 +3,17 @@ package pedersen
 import (
 	"fmt"
 	"math/big"
-	"math/rand"
 	"testing"
 )
 
+// FIXME: See initBenchmarkArrayDigest below.
+/*
 var benchmarkArrayDigestData []*big.Int
 
 func init() {
 	initBenchmarkArrayDigest()
 }
+*/
 
 // BenchmarkDigest runs a benchmark on the Digest function by hashing a
 // *big.Int with a value of 0 N times.
@@ -21,16 +23,11 @@ func BenchmarkDigest(b *testing.B) {
 	}
 }
 
-// ExampleDigest showcases the use of the Pedersen hash function in the
-// autogenerated documentation.
 func ExampleDigest() {
 	a, _ := new(big.Int).SetString("3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb", 16)
 	b, _ := new(big.Int).SetString("208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a", 16)
-	digest, err := Digest(a, b)
-	if err != nil {
-		panic(err)
-	}
-	fmt.Printf("%x\n", digest)
+	fmt.Printf("%x\n", Digest(a, b))
+
 	// Output:
 	// 30e480bed5fe53fa909cc0f8c4d99b8f9f2c016be4c41e13a4848797979c662
 }
@@ -58,32 +55,15 @@ func TestDigest(t *testing.T) {
 		a, _ := new(big.Int).SetString(test.input1, 16)
 		b, _ := new(big.Int).SetString(test.input2, 16)
 		want, _ := new(big.Int).SetString(test.want, 16)
-		got, _ := Digest(a, b)
+		got := Digest(a, b)
 		if got.Cmp(want) != 0 {
 			t.Errorf("Digest(%x, %x) = %x, want %x", a, b, got, want)
 		}
 	}
 }
 
-func TestDigestLimit(t *testing.T) {
-	var tests = [...]string{
-		"800000000000011000000000000000000000000000000000000000000000001",
-		"80000000000001100000000000000000000000000000000000000024b8b90c3",
-		"90000000000001100000000000000000000000000000000000000024b8b90c3",
-		"80000000000001100000000000000300000000000000000000000024b8b90c3",
-	}
-	for _, test := range tests {
-		a, ok := new(big.Int).SetString(test, 16)
-		if !ok {
-			t.Error("error decoding hex-string")
-		}
-		_, err := Digest(a)
-		if err != ErrInvalid {
-			t.Errorf("expected error %s for Digest(%s) because is out of the limits", ErrInvalid, a)
-		}
-	}
-}
-
+// FIXME: Some values generated here are outside 𝔽ₚ.
+/*
 func initBenchmarkArrayDigest() {
 	// max = 2**252 - 1
 	max := new(big.Int)
@@ -100,6 +80,7 @@ func BenchmarkArrayDigest(b *testing.B) {
 		ArrayDigest(benchmarkArrayDigestData...)
 	}
 }
+*/
 
 func TestArrayDigest(t *testing.T) {
 	var tests = [...]struct {
@@ -128,7 +109,7 @@ func TestArrayDigest(t *testing.T) {
 			data = append(data, v)
 		}
 		want, _ := new(big.Int).SetString(test.want, 16)
-		got, _ := ArrayDigest(data...)
+		got := ArrayDigest(data...)
 		if got.Cmp(want) != 0 {
 			t.Errorf("ArrayDigest(%x) = %x, want %x", data, got, want)
 		}
diff --git a/pkg/store/store_test.go b/pkg/store/store_test.go
new file mode 100644
index 00000000..49fb2088
--- /dev/null
+++ b/pkg/store/store_test.go
@@ -0,0 +1,57 @@
+package store
+
+import (
+	"bytes"
+	"fmt"
+	"testing"
+)
+
+var tests = []struct {
+	key, val []byte
+}{
+	{[]byte{2}, []byte{1}},
+	{[]byte{3}, []byte{1}},
+	{[]byte{5}, []byte{1}},
+}
+
+func TestDelete(t *testing.T) {
+	store := New()
+	for _, test := range tests {
+		store.Put(test.key, test.val)
+	}
+
+	for _, test := range tests {
+		t.Run(fmt.Sprintf("delete(%#v)", test.key), func(t *testing.T) {
+			store.Delete(test.key)
+			_, ok := store.Get(test.key)
+			if ok {
+				t.Errorf("key %#v not successfully removed from storage", test.key)
+			}
+		})
+	}
+}
+
+func TestGet(t *testing.T) {
+	store := New()
+	for _, test := range tests {
+		store.Put(test.key, test.val)
+	}
+
+	for _, test := range tests {
+		t.Run(fmt.Sprintf("get(%#v) = %#v", test.key, test.val), func(t *testing.T) {
+			got, _ := store.Get(test.key)
+			if !bytes.Equal(got, test.val) {
+				t.Errorf("get(%#v) = %#v, want %#v", test.key, got, test.val)
+			}
+		})
+	}
+}
+
+func TestPut(t *testing.T) {
+	store := New()
+	for _, test := range tests {
+		t.Run(fmt.Sprintf("put(%#v, %#v)", test.key, test.val), func(t *testing.T) {
+			store.Put(test.key, test.val)
+		})
+	}
+}
diff --git a/pkg/trie/trie_test.go b/pkg/trie/trie_test.go
new file mode 100644
index 00000000..91fb6e89
--- /dev/null
+++ b/pkg/trie/trie_test.go
@@ -0,0 +1,325 @@
+package trie
+
+import (
+	"encoding/json"
+	"fmt"
+	"math/big"
+	"math/rand"
+	"testing"
+	"time"
+
+	"github.com/NethermindEth/juno/pkg/crypto/pedersen"
+	"github.com/NethermindEth/juno/pkg/store"
+)
+
+const testKeyLen = 3
+
+var tests = [...]struct {
+	key, val *big.Int
+}{
+	{big.NewInt(2) /* 0b010 */, big.NewInt(1)},
+	{big.NewInt(3) /* 0b011 */, big.NewInt(1)},
+	{big.NewInt(5) /* 0b101 */, big.NewInt(1)},
+	{big.NewInt(7) /* 0b111 */, big.NewInt(0)},
+}
+
+func init() {
+	rand.Seed(time.Now().UnixNano())
+}
+
+func Example() {
+	var pairs = [...]struct {
+		key, val *big.Int
+	}{
+		{big.NewInt(2) /* 0b010 */, big.NewInt(1)},
+		{big.NewInt(5) /* 0b101 */, big.NewInt(1)},
+	}
+
+	// Provide the storage that the trie will use to persist data.
+	db := store.New()
+
+	// Initialise trie with storage and provide the key length (height of
+	// the tree).
+	t := New(db, 3)
+
+	// Insert items into the trie.
+	for _, pair := range pairs {
+		fmt.Printf("put(key=%d, val=%d)\n", pair.key, pair.val)
+		t.Put(pair.key, pair.val)
+	}
+
+	// Retrieve items from the trie.
+	for _, pair := range pairs {
+		val, _ := t.Get(pair.key)
+		fmt.Printf("get(key=%d) = %d\n", pair.key, val)
+	}
+
+	// Remove items from the trie.
+	for _, pair := range pairs {
+		fmt.Printf("delete(key=%d)\n", pair.key)
+		t.Delete(pair.key)
+	}
+
+	// Output:
+	// put(key=2, val=1)
+	// put(key=5, val=1)
+	// get(key=2) = 1
+	// get(key=5) = 1
+	// delete(key=2)
+	// delete(key=5)
+}
+
+func TestDelete(t *testing.T) {
+	db := store.New()
+	trie := New(db, testKeyLen)
+	for _, test := range tests {
+		trie.Put(test.key, test.val)
+	}
+
+	for _, test := range tests {
+		t.Run(fmt.Sprintf("delete(%#v)", test.key), func(t *testing.T) {
+			trie.Delete(test.key)
+			_, ok := trie.Get(test.key)
+			if ok {
+				t.Errorf("key %#v not successfully removed from storage", test.key)
+			}
+		})
+	}
+}
+
+// TestEmptyTrie asserts that the commitment of an empty trie is zero.
+func TestEmptyTrie(t *testing.T) {
+	trie := New(store.New(), testKeyLen)
+	if trie.Commitment().Cmp(new(big.Int)) != 0 {
+		t.Error("trie.Commitment() != 0 for empty trie")
+	}
+}
+
+func TestGet(t *testing.T) {
+	db := store.New()
+	trie := New(db, testKeyLen)
+	for _, test := range tests {
+		trie.Put(test.key, test.val)
+	}
+
+	for _, test := range tests {
+		t.Run(fmt.Sprintf("get(%#v) = %#v", test.key, test.val), func(t *testing.T) {
+			got, _ := trie.Get(test.key)
+			if test.val.Cmp(new(big.Int)) != 0 && got.Cmp(test.val) != 0 {
+				t.Errorf("get(%#v) = %#v, want %#v", test.key, got, test.val)
+			}
+		})
+	}
+}
+
+// TestInvariant checks that the root hash is independent of the
+// insertion and deletion order.
+func TestInvariant(t *testing.T) {
+	t0 := New(store.New(), testKeyLen)
+	t1 := New(store.New(), testKeyLen)
+
+	for _, test := range tests {
+		t0.Put(test.key, test.val)
+	}
+
+	// Insertion in reverse order.
+	for i := len(tests) - 1; i >= 0; i-- {
+		t1.Put(tests[i].key, tests[i].val)
+	}
+
+	t.Run("insert: t0.Commitment().Cmp(t1.Commitment()) == 0", func(t *testing.T) {
+		if t0.Commitment().Cmp(t1.Commitment()) != 0 {
+			t.Errorf("tries with the same values have diverging root hashes")
+		}
+	})
+
+	t.Run("delete: t0.Commitment().Cmp(t1.Commitment()) == 0", func(t *testing.T) {
+		t0.Delete(tests[1].key)
+		t1.Delete(tests[1].key)
+		if t0.Commitment().Cmp(t1.Commitment()) != 0 {
+			t.Errorf("tries with the same values have diverging root hashes")
+		}
+	})
+
+	t.Run("different: t0.Commitment().Cmp(t1.Commitment()) != 0", func(t *testing.T) {
+		t0.Put(tests[1].key, tests[1].val)
+		if t0.Commitment().Cmp(t1.Commitment()) == 0 {
+			t.Errorf("tries with different values have the same root hashes")
+		}
+	})
+}
+
+// TestRebuild tests that the trie can be reconstructed from storage.
+func TestRebuild(t *testing.T) {
+	db := store.New()
+	oldTrie := New(db, testKeyLen)
+
+	for _, test := range tests {
+		oldTrie.Put(test.key, test.val)
+	}
+
+	// New trie using the same storage.
+	newTrie := New(db, testKeyLen)
+
+	t.Run("oldTrie.Commitment().Cmp(newTrie.Commitment()) == 0", func(t *testing.T) {
+		if oldTrie.Commitment().Cmp(newTrie.Commitment()) != 0 {
+			t.Errorf("new trie produced a different commitment from the same store")
+		}
+	})
+
+	randKey := tests[rand.Int()%len(tests)].key
+	t.Run(
+		fmt.Sprintf("oldTrie.Get(%#v) == newTrie.Get(%#v)", randKey, randKey),
+		func(t *testing.T) {
+			got, _ := oldTrie.Get(randKey)
+			want, _ := newTrie.Get(randKey)
+			if got.Cmp(want) != 0 {
+				t.Errorf("oldTrie.Get(%#v) = %#v != newTrie.Get(%#v) = %#v", randKey, got, randKey, want)
+			}
+		})
+}
+
+func TestPut(t *testing.T) {
+	db := store.New()
+	trie := New(db, testKeyLen)
+	for _, test := range tests {
+		t.Run(fmt.Sprintf("put(%#v, %#v)", test.key, test.val), func(t *testing.T) {
+			trie.Put(test.key, test.val)
+			pre := prefix(reversed(test.key, testKeyLen), testKeyLen)
+			got, ok := db.Get(pre)
+			if !ok {
+				// A key with a value 0 is deleted.
+				if test.val.Cmp(new(big.Int)) == 0 {
+					t.Skip()
+				}
+				t.Fatalf("failed to retrieve value with key %s from database", pre)
+			}
+			var n node
+			if err := json.Unmarshal(got, &n); err != nil {
+				t.Fatal("failed to unmarshal value from database")
+			}
+			if test.val.Cmp(n.Bottom) != 0 {
+				t.Errorf("failed to put value %#v at key %#v", test.key, test.val)
+			}
+		})
+	}
+}
+
+// TestState tests whether the trie produces the same state root as in
+// Block 0 of the StarkNet protocol mainnet.
+func TestState(t *testing.T) {
+	// See https://alpha-mainnet.starknet.io/feeder_gateway/get_state_update?blockNumber=0.
+	type (
+		diff  struct{ key, val string }
+		diffs map[string][]diff
+	)
+
+	var (
+		addresses = diffs{
+			"735596016a37ee972c42adef6a3cf628c19bb3794369c65d2c82ba034aecf2c": {
+				{"5", "64"},
+				{
+					"2f50710449a06a9fa789b3c029a63bd0b1f722f46505828a9f815cf91b31d8",
+					"2a222e62eabe91abdb6838fa8b267ffe81a6eb575f61e96ec9aa4460c0925a2",
+				},
+			},
+			"20cfa74ee3564b4cd5435cdace0f9c4d43b939620e4a0bb5076105df0a626c6": {
+				{"5", "22b"},
+				{
+					"5aee31408163292105d875070f98cb48275b8c87e80380b78d30647e05854d5",
+					"7e5",
+				},
+				{
+					"313ad57fdf765addc71329abf8d74ac2bce6d46da8c2b9b82255a5076620300",
+					"4e7e989d58a17cd279eca440c5eaa829efb6f9967aaad89022acbe644c39b36",
+				},
+				{
+					"313ad57fdf765addc71329abf8d74ac2bce6d46da8c2b9b82255a5076620301",
+					"453ae0c9610197b18b13645c44d3d0a407083d96562e8752aab3fab616cecb0",
+				},
+				{
+					"6cf6c2f36d36b08e591e4489e92ca882bb67b9c39a3afccf011972a8de467f0",
+					"7ab344d88124307c07b56f6c59c12f4543e9c96398727854a322dea82c73240",
+				},
+			},
+			"6ee3440b08a9c805305449ec7f7003f27e9f7e287b83610952ec36bdc5a6bae": {
+				{
+					"1e2cd4b3588e8f6f9c4e89fb0e293bf92018c96d7a93ee367d29a284223b6ff",
+					"71d1e9d188c784a0bde95c1d508877a0d93e9102b37213d1e13f3ebc54a7751",
+				},
+				{
+					"5f750dc13ed239fa6fc43ff6e10ae9125a33bd05ec034fc3bb4dd168df3505f",
+					"7e5",
+				},
+				{
+					"48cba68d4e86764105adcdcf641ab67b581a55a4f367203647549c8bf1feea2",
+					"362d24a3b030998ac75e838955dfee19ec5b6eceb235b9bfbeccf51b6304d0b",
+				},
+				{
+					"449908c349e90f81ab13042b1e49dc251eb6e3e51092d9a40f86859f7f415b0",
+					"6cb6104279e754967a721b52bcf5be525fdc11fa6db6ef5c3a4db832acf7804",
+				},
+				{
+					"5bdaf1d47b176bfcd1114809af85a46b9c4376e87e361d86536f0288a284b65",
+					"28dff6722aa73281b2cf84cac09950b71fa90512db294d2042119abdd9f4b87",
+				},
+				{
+					"5bdaf1d47b176bfcd1114809af85a46b9c4376e87e361d86536f0288a284b66",
+					"57a8f8a019ccab5bfc6ff86c96b1392257abb8d5d110c01d326b94247af161c",
+				},
+			},
+			"31c887d82502ceb218c06ebb46198da3f7b92864a8223746bc836dda3e34b52": {
+				{
+					"5f750dc13ed239fa6fc43ff6e10ae9125a33bd05ec034fc3bb4dd168df3505f",
+					"7c7",
+				},
+				{
+					"df28e613c065616a2e79ca72f9c1908e17b8c913972a9993da77588dc9cae9",
+					"1432126ac23c7028200e443169c2286f99cdb5a7bf22e607bcd724efa059040",
+				},
+			},
+			"31c9cdb9b00cb35cf31c05855c0ec3ecf6f7952a1ce6e3c53c3455fcd75a280": {
+				{"5", "65"},
+				{
+					"5aee31408163292105d875070f98cb48275b8c87e80380b78d30647e05854d5",
+					"7c7",
+				},
+				{
+					"cfc2e2866fd08bfb4ac73b70e0c136e326ae18fc797a2c090c8811c695577e",
+					"5f1dd5a5aef88e0498eeca4e7b2ea0fa7110608c11531278742f0b5499af4b3",
+				},
+				{
+					"5fac6815fddf6af1ca5e592359862ede14f171e1544fd9e792288164097c35d",
+					"299e2f4b5a873e95e65eb03d31e532ea2cde43b498b50cd3161145db5542a5",
+				},
+				{
+					"5fac6815fddf6af1ca5e592359862ede14f171e1544fd9e792288164097c35e",
+					"3d6897cf23da3bf4fd35cc7a43ccaf7c5eaf8f7c5b9031ac9b09a929204175f",
+				},
+			},
+		}
+
+		want, _         = new(big.Int).SetString("021870ba80540e7831fb21c591ee93481f5ae1bb71ff85a86ddd465be4eddee6", 16)
+		contractHash, _ = new(big.Int).SetString("10455c752b86932ce552f2b0fe81a880746649b9aee7e0d842bf3f52378f9f8", 16)
+	)
+
+	height := 251
+	state := New(store.New(), height)
+	for addr, diff := range addresses {
+		storage := New(store.New(), height)
+		for _, slot := range diff {
+			key, _ := new(big.Int).SetString(slot.key, 16)
+			val, _ := new(big.Int).SetString(slot.val, 16)
+			storage.Put(key, val)
+		}
+
+		key, _ := new(big.Int).SetString(addr, 16)
+		val := pedersen.Digest(pedersen.Digest(pedersen.Digest(contractHash, storage.Commitment()), new(big.Int)), new(big.Int))
+		state.Put(key, val)
+	}
+
+	got := state.Commitment()
+	if want.Cmp(got) != 0 {
+		t.Errorf("state.Commitment() = %x, want = %x", got, want)
+	}
+}