Ark Notes (#379)

* ark credits

* rename "ecash" --> "ark credit"

* rework note_test.go

* NewFromString

* create several notes

* note repo: rename "push" to "add"

* RegisterInputsForNextRoundRequest: move "notes" to field #3

* use uint64 as note ID

* rename to voucher

* add nostr notification

* nostr notification test and fixes

* bump badger to 4.3

* allow npub to be registered

* rename poolTxID

* add default relays

* Update server/internal/config/config.go

Co-authored-by: Marco Argentieri <3596602+tiero@users.noreply.github.com>

* fix RedeemVouchers test

* notification = voucher

* WASM wrappers

* fix arkd voucher cmd

* test_utils.go ignore gosec rule G101

* fix permissions

* rename ALL to notes

* add URI prefix

* note.go : fix signature encoding

* fix decode note.Data

* Update server/internal/infrastructure/notifier/nostr/nostr.go

Co-authored-by: Pietralberto Mazza <18440657+altafan@users.noreply.github.com>

* Update pkg/client-sdk/wasm/browser/wrappers.go

Co-authored-by: Pietralberto Mazza <18440657+altafan@users.noreply.github.com>

* Update server/internal/infrastructure/notifier/nostr/nostr.go

Co-authored-by: Pietralberto Mazza <18440657+altafan@users.noreply.github.com>

* rework note and entity db + sqlite implementations

* NOTIFICATION_PREFIX -> NOTE_URI_PREFIX

* validate NOTE_URI_PREFIX

* Update defaults to convenant-less mainnet (#2)

* config: defaults to convenant-less tx builder

* Drop env var for blockchain scanner

---------

Co-authored-by: altafan <18440657+altafan@users.noreply.github.com>

* add // before URI prefix

* add URI prefix in admin CreateNote

* Fixes

* rework nonces encoding (#4)

* rework nonces encoding

* add a check in Musig2Nonce decode function

* musig2_test: increase number of signers to 20

* musig2.json: add a test case with a 35 leaves tree

* GetEventStream REST rework

* fix round phases time intervals

* [SDK] Use server-side streams in rest client

* Fix history

* make the URI optional

* Updates

* Fix settled txs in history

* fix e2e test

* go work sync in sdk unit test

* fix signMessage in btc and liquid sdk wallets

---------

Co-authored-by: Marco Argentieri <3596602+tiero@users.noreply.github.com>
Co-authored-by: Pietralberto Mazza <18440657+altafan@users.noreply.github.com>

server/internal/core/application/proof.go

@@ -0,0 +1,72 @@
+package application
+
+import (
+	"crypto/sha256"
+	"encoding/binary"
+	"encoding/hex"
+	"fmt"
+
+	"github.com/ark-network/ark/common/bitcointree"
+	"github.com/ark-network/ark/common/tree"
+	"github.com/ark-network/ark/server/internal/core/domain"
+	"github.com/btcsuite/btcd/btcec/v2/schnorr"
+	"github.com/btcsuite/btcd/chaincfg/chainhash"
+	"github.com/btcsuite/btcd/txscript"
+	"github.com/decred/dcrd/dcrec/secp256k1/v4"
+)
+
+// OwnershipProof is a proof that the owner of a vtxo has the secret key able to sign the forfeit leaf.
+type OwnershipProof struct {
+	ControlBlock *txscript.ControlBlock
+	Script       []byte
+	Signature    *schnorr.Signature
+}
+
+func (p OwnershipProof) validate(vtxo domain.Vtxo) error {
+	// verify revealed script and extract user public key
+	pubkey, err := decodeForfeitClosure(p.Script)
+	if err != nil {
+		return err
+	}
+
+	// verify control block
+	rootHash := p.ControlBlock.RootHash(p.Script)
+	vtxoTapKey := txscript.ComputeTaprootOutputKey(bitcointree.UnspendableKey(), rootHash)
+
+	if hex.EncodeToString(schnorr.SerializePubKey(vtxoTapKey)) != vtxo.Pubkey {
+		return fmt.Errorf("invalid control block")
+	}
+
+	// verify signature
+	txhash, err := chainhash.NewHashFromStr(vtxo.Txid)
+	if err != nil {
+		return err
+	}
+
+	voutBytes := make([]byte, 4)
+	binary.BigEndian.PutUint32(voutBytes, vtxo.VOut)
+
+	outpointBytes := append(txhash[:], voutBytes...)
+	sigMsg := sha256.Sum256(outpointBytes)
+
+	if !p.Signature.Verify(sigMsg[:], pubkey) {
+		return fmt.Errorf("invalid signature")
+	}
+
+	return nil
+}
+
+func decodeForfeitClosure(script []byte) (*secp256k1.PublicKey, error) {
+	var covenantLessForfeitClosure bitcointree.MultisigClosure
+
+	if valid, err := covenantLessForfeitClosure.Decode(script); err == nil && valid {
+		return covenantLessForfeitClosure.Pubkey, nil
+	}
+
+	var covenantForfeitClosure tree.CSVSigClosure
+	if valid, err := covenantForfeitClosure.Decode(script); err == nil && valid {
+		return covenantForfeitClosure.Pubkey, nil
+	}
+
+	return nil, fmt.Errorf("invalid forfeit closure script")
+}