1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
|
Delivery-date: Wed, 28 May 2025 02:56:33 -0700
Received: from mail-qk1-f187.google.com ([209.85.222.187])
by mail.fairlystable.org with esmtps (TLS1.3) tls TLS_ECDHE_RSA_WITH_AES_128_GCM_SHA256
(Exim 4.94.2)
(envelope-from <bitcoindev+bncBAABBRV33PAQMGQEWG5GE5A@googlegroups.com>)
id 1uKDWS-00045I-58
for bitcoindev@gnusha.org; Wed, 28 May 2025 02:56:33 -0700
Received: by mail-qk1-f187.google.com with SMTP id af79cd13be357-7cd06c31ad6sf114273885a.0
for <bitcoindev@gnusha.org>; Wed, 28 May 2025 02:56:31 -0700 (PDT)
ARC-Seal: i=2; a=rsa-sha256; t=1748426186; cv=pass;
d=google.com; s=arc-20240605;
b=aAm/75FvYH+SbrOAMJjwh6Ypo/l0DF7WZkreDIZizorGhxW1b95SCCfc+xZJ2+TP1k
PqiS+6nOzdSkm6zghOBSzzurbvpztDTwucCOojMlxJnUEKJQEcLiBhzG79MrP7Y8zyf6
zmN264aTuUIGeOhBPcpuTRXXfoy2hntxedv7KAxfvtUXuRFVB3DBRdlG1Po2w5tBjK9R
0agphJ8+2fRGpRineBsqYpcQF3hOscyv5YevUaZGhjj68RPyW49U7MthajGQS/Dos24I
Ls28fOVlMv6kDIQgDcVIqvZz/rHV9LQdzxX2dnrJBHM1GqOVd0per/M8L0GqDuW1uzww
tGSA==
ARC-Message-Signature: i=2; a=rsa-sha256; c=relaxed/relaxed; d=google.com; s=arc-20240605;
h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post
:list-id:mailing-list:precedence:references:to:cc:in-reply-to:date
:subject:mime-version:message-id:from:feedback-id:sender
:dkim-signature;
bh=dkOYERMgyZ9aGwf1wyLN0J6g+7u7ePex1v6yQrWU6jU=;
fh=wIFqFqLySxmoia5iS6gLbsnb1aRN5FpO61cxR3xi+SM=;
b=GzJh5fmimYM4BNPOEbf6+Pjm7HcAgogwn+mP2oXBSqEJyz/AyOBJyye2mi7abfw7LE
N/TRuDvpnG35Qdm7ZhJrV3AvfHpJpho9+f6k01nlbY4cVv3MbYBK72g1NbPCVF2yb6hY
ol1iZ97LJuKOgu0/01yQXvXULtt44YALNZEOZHoHY3XGNJDmjtMJsXhCwLrYPX1xSq0U
ifggvpawkPW4sJ4afxZwaQPy3cb0Om9qbvpJRMh4h0mkc8EupITvWUI1RKz6W/g8a+Wn
6zwjutczXMFABPAuMPhOqtP8NiOLG76opkPblOW8kJFhOd7I3dEIh3w4Gn16BYPWI5Og
7g6A==;
darn=gnusha.org
ARC-Authentication-Results: i=2; gmr-mx.google.com;
dkim=pass header.i=@sprovoost.nl header.s=fm2 header.b=QASKPbcD;
dkim=pass header.i=@messagingengine.com header.s=fm1 header.b=LGmvZ7Ph;
spf=pass (google.com: domain of sjors@sprovoost.nl designates 103.168.172.145 as permitted sender) smtp.mailfrom=sjors@sprovoost.nl;
dmarc=pass (p=NONE sp=NONE dis=NONE) header.from=sprovoost.nl
DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed;
d=googlegroups.com; s=20230601; t=1748426186; x=1749030986; darn=gnusha.org;
h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post
:list-id:mailing-list:precedence:x-original-authentication-results
:x-original-sender:references:to:cc:in-reply-to:date:subject
:mime-version:message-id:from:feedback-id:sender:from:to:cc:subject
:date:message-id:reply-to;
bh=dkOYERMgyZ9aGwf1wyLN0J6g+7u7ePex1v6yQrWU6jU=;
b=LPypVM+hRFzG7OxSa7zgjDGWK4pHc521ZX5Lc8csAH5kJqanCu2su2MBNMx/QPO1OT
+F+JSK6QIRLPg0E/+81V8XxGwv8I+MebbjcPhYixfbX4PDmzQhLJv8t/gSqzjXi974V6
/jbsKZnSN1XD1nt20D+QNRv00sA4iTcNwGzBMTg/WWQKfXiQUBn7frZgdDgKKX/4+fXV
SyCoAClM8ok7jSMcmWpS71HyhUB5zL+cw21RViQzrMNlnwxvdDZnoEGVfx2sZpf/gdpX
Mf3zhh/NEMw8yFrFSu4Z29G3FU2XZEczjZNlTKuOYEz12shrEcif4miXqFDzfV+x+INC
fRyA==
X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed;
d=1e100.net; s=20230601; t=1748426186; x=1749030986;
h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post
:list-id:mailing-list:precedence:x-original-authentication-results
:x-original-sender:references:to:cc:in-reply-to:date:subject
:mime-version:message-id:from:feedback-id:x-beenthere
:x-gm-message-state:sender:from:to:cc:subject:date:message-id
:reply-to;
bh=dkOYERMgyZ9aGwf1wyLN0J6g+7u7ePex1v6yQrWU6jU=;
b=j9cpO5LOsIl5G8WJcA6LAL6XC1Va9BIb+FYdzXZYwhip3fcGMDc1xyX/nLk5t/VXSI
CDYFhXfWgPg4brwgb/l9WFAp2xzyYt2gLC0COkVVJ04UxtG8p5qc4bBpcOTtAEpUwXOQ
f+qDn9V1VOcRx3yMpl9T0WyV3SgYSIJlBfyvhIfUMuvjgtuAWZ3H6FD9ZdRMb08bnXG2
0xSwUjCCuPedUHUHzAAk9Bo3TO+noTTXrRC/qEkOtwwwGaG83z/23pZbXNjx9nafsqNN
+Wa34DlHS6B1EpjbL9bCL7cFPkl1u3IE8ifY9RVQhvzHHf5OzKrDzwAtXz14xxoVoi8I
1kHg==
Sender: bitcoindev@googlegroups.com
X-Forwarded-Encrypted: i=2; AJvYcCUVhadTiVeJ6X4TcW9LJJGJnBmlXLMQGNy8B9r+b1nnk7A2abZxPJM1B3yHgYzuoI1axHtrwv9nhhyE@gnusha.org
X-Gm-Message-State: AOJu0Yz9SK4J5F36VbUz5Cp347NQAW+uDCASN6PUcItxp3J6leB/eGUV
CoInSXMJEkp5Fy4PvUzw2RsxNpK7pePJ6QS+cU2FFHedCvdfYMbghB8z
X-Google-Smtp-Source: AGHT+IGSLYXGhYwppQzOstaC8VnWvJUzBsHIUuFRXXZ4ai4Kx1WduKmkRUtNXJCbP+05NQ1wZjJvWA==
X-Received: by 2002:a05:6214:2461:b0:6fa:abd2:f2bb with SMTP id 6a1803df08f44-6fab9e9c5ecmr63940146d6.8.1748426185759;
Wed, 28 May 2025 02:56:25 -0700 (PDT)
X-BeenThere: bitcoindev@googlegroups.com; h=AZMbMZfwrKojt06bW+oVU6sC+H95CnLzcapbW+w6GNZIrfwq/Q==
Received: by 2002:a05:6214:564c:b0:6f8:b59a:d33d with SMTP id
6a1803df08f44-6fa9d159e5fls43279596d6.2.-pod-prod-00-us; Wed, 28 May 2025
02:56:22 -0700 (PDT)
X-Received: by 2002:a05:620a:2330:b0:7cf:5cdb:7b68 with SMTP id af79cd13be357-7cf5cdb7bd1mr200706485a.0.1748426181882;
Wed, 28 May 2025 02:56:21 -0700 (PDT)
Received: by 2002:a05:620a:144c:b0:7c5:495f:5415 with SMTP id af79cd13be357-7cec7d22123ms85a;
Wed, 28 May 2025 00:46:57 -0700 (PDT)
X-Received: by 2002:a05:620a:40cc:b0:7ce:eb15:6f7d with SMTP id af79cd13be357-7cf06d88c9dmr475400485a.20.1748418416874;
Wed, 28 May 2025 00:46:56 -0700 (PDT)
ARC-Seal: i=1; a=rsa-sha256; t=1748418416; cv=none;
d=google.com; s=arc-20240605;
b=dWIXOg3FInWwCWNOOA8FFpEyqiGZ1lbbs4P6dWLS0Un8ml9vVOKy52l3bxhKq+DNwW
CTNzfP43hY85Z3qAAJe7zcmArl6D+5JoK3BWg8jGls3s54RYpExm+A3S18s8RDUja/dy
3dNUZgmpAq0t6Wi0mv9uXBbFgOuxwmZlKgxP38J5MApgDf6gyxtnof488vQULf+sc97/
WkX2Kgfz0Ay13KKyYwkL0pNLDnhVgzhOACwC/YxQ7dQZiwt0Vz6hayz8kpmoN0InqPy7
IxVSaSbfKAyK0h+cCuNYKcLjjN4uaxPX1BN4PlJidscQn7t1OeLpz8MTbJOeX/RVeK/q
csIA==
ARC-Message-Signature: i=1; a=rsa-sha256; c=relaxed/relaxed; d=google.com; s=arc-20240605;
h=references:to:cc:in-reply-to:date:subject:mime-version:message-id
:from:feedback-id:dkim-signature:dkim-signature;
bh=ROBdRWxRYRoTwD6axeoU8Gb6xoYOckm/ldVD/ljZaY4=;
fh=/KV1b32FPXzZYybBkswvPFG2fOw6xSQXkmWWr/itXoY=;
b=l0Yn5X1LQyRoMBNHLkDOhky53aaE8EyzMDGI43PR0dp5Z7lAgCpW0IyCn5X4XCWO3l
eDN/x8P+S79/AXI5Bu2Nq7SUQQI6+MEh6KyjU7N3vI5idrIJW3avVMshebMZwpLgTI1O
YZ8IB++7Q+/OnKwpRPbMJmaooba65MZ0oTkT4YRACXf4dfDLSOIOxLfhik3Jp664lGO2
KFoHCoCn5W8AV2FBE3IMDEptzDZtVV1oLI9XkfMlUsmfQ2yubBoulrKLWM9H8ryw53vc
EaqrXWgNHRUxGIch0olSjHa2SrycuxJKtYFX/SUT1b6IrFgFVyBX3jdu4LJ/KGA2Gf2r
T7kg==;
dara=google.com
ARC-Authentication-Results: i=1; gmr-mx.google.com;
dkim=pass header.i=@sprovoost.nl header.s=fm2 header.b=QASKPbcD;
dkim=pass header.i=@messagingengine.com header.s=fm1 header.b=LGmvZ7Ph;
spf=pass (google.com: domain of sjors@sprovoost.nl designates 103.168.172.145 as permitted sender) smtp.mailfrom=sjors@sprovoost.nl;
dmarc=pass (p=NONE sp=NONE dis=NONE) header.from=sprovoost.nl
Received: from fout-a2-smtp.messagingengine.com (fout-a2-smtp.messagingengine.com. [103.168.172.145])
by gmr-mx.google.com with ESMTPS id af79cd13be357-7cfc5d6cb4bsi2711685a.7.2025.05.28.00.46.56
for <bitcoindev@googlegroups.com>
(version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256);
Wed, 28 May 2025 00:46:56 -0700 (PDT)
Received-SPF: pass (google.com: domain of sjors@sprovoost.nl designates 103.168.172.145 as permitted sender) client-ip=103.168.172.145;
Received: from phl-compute-09.internal (phl-compute-09.phl.internal [10.202.2.49])
by mailfout.phl.internal (Postfix) with ESMTP id 79FB3138253C;
Wed, 28 May 2025 03:46:56 -0400 (EDT)
Received: from phl-mailfrontend-01 ([10.202.2.162])
by phl-compute-09.internal (MEProxy); Wed, 28 May 2025 03:46:56 -0400
X-ME-Sender: <xms:cL82aKMrL8zTJP4msUbhqg4K1YCsqVgUAc2JIq3bCutidyBDBCI6ww>
<xme:cL82aI8ihC3QuHkxI_ktNcUuhCaoAkAr4wrzI_U-4yMezcJzNu5aNKFLiBHQu9B0S
SrCVjXJDZAukXKwMQ>
X-ME-Received: <xmr:cL82aBSJg-113Z1DrOhbaL_4_I9roveuvavcX-fGKYjNL69Q0ofzYrOS1NwZ3v-dXVZB>
X-ME-Proxy-Cause: gggruggvucftvghtrhhoucdtuddrgeeffedrtddtgddvvdeileculddtuddrgeefvddrtd
dtmdcutefuodetggdotefrodftvfcurfhrohhfihhlvgemucfhrghsthforghilhdpggft
fghnshhusghstghrihgsvgdpuffrtefokffrpgfnqfghnecuuegrihhlohhuthemuceftd
dtnecusecvtfgvtghiphhivghnthhsucdlqddutddtmdenogfuuhhsphgvtghtffhomhgr
ihhnucdlgeelmdenucfjughrpefhkfgtggfuffgjvefvfhfosegrtdhmrehhtdejnecuhf
hrohhmpefujhhorhhsucfrrhhovhhoohhsthcuoehsjhhorhhssehsphhrohhvohhoshht
rdhnlheqnecuggftrfgrthhtvghrnheptddvvdegveduiedtgeelueelffdthfegkeefue
ffieduhfekffetudelgeetveffnecuffhomhgrihhnpehgohhoghhlvgdrtghomhenucev
lhhushhtvghrufhiiigvpedtnecurfgrrhgrmhepmhgrihhlfhhrohhmpehsjhhorhhsse
hsphhrohhvohhoshhtrdhnlhdpnhgspghrtghpthhtohepvddpmhhouggvpehsmhhtphho
uhhtpdhrtghpthhtohepsghithgtohhinhguvghvsehgohhoghhlvghgrhhouhhpshdrtg
homhdprhgtphhtthhopegvkhgrghhgrghtrgesghhmrghilhdrtghomh
X-ME-Proxy: <xmx:cL82aKvBfEl6f38EotywFvYdR0fIw3YnGnnKHbpbKEjJ_T8mnXN_5A>
<xmx:cL82aCfcBXClMKE_Dk-xfyn2dOsKUwRabp_sKtP8fn0DcpwCHIK-0Q>
<xmx:cL82aO1iJD3SUv28EKpqu9VXe5ni5Ezwn_pmjaTWlUhcviVE-drn2g>
<xmx:cL82aG-eeORQzf8slCANqq122vicrI8pwy79YJY3qzAXGqBFY3FfAw>
<xmx:cL82aMw5HoMYbDgmpPpjWQTm6ss61EAonge7dK9425szs6Ih9PeEuZ8F>
Feedback-ID: ie5e042df:Fastmail
Received: by mail.messagingengine.com (Postfix) with ESMTPA; Wed,
28 May 2025 03:46:55 -0400 (EDT)
From: Sjors Provoost <sjors@sprovoost.nl>
Message-Id: <7E385C29-F84D-45E1-8314-D735929F9DC1@sprovoost.nl>
Content-Type: multipart/alternative;
boundary="Apple-Mail=_80E6C95E-B7A2-43A1-A0A1-9EC93DD884B0"
Mime-Version: 1.0 (Mac OS X Mail 16.0 \(3826.600.51.1.1\))
Subject: Re: [bitcoindev] Against Allowing Quantum Recovery of Bitcoin
Date: Wed, 28 May 2025 09:46:40 +0200
In-Reply-To: <c568cc33-abba-4010-ac65-42c84dae6eb8n@googlegroups.com>
Cc: waxwing/ AdamISZ <ekaggata@gmail.com>
To: Bitcoin Development Mailing List <bitcoindev@googlegroups.com>
References: <E8269A1A-1899-46D2-A7CD-4D9D2B732364@astrotown.de>
<CAJDmzYxw+mXQKjS+h+r6mCoe1rwWUpa_yZDwmwx6U_eO5JhZLg@mail.gmail.com>
<zyx7G6H1TyB2sWVEKAfIYmCCvfXniazvrhGlaZuGLeFtjL3Ky7B-9nBptC0GCxuHMjjw8RasO7c3ZX46_6Nerv0SgCP0vOi5_nAXLmiCJOY=@proton.me>
<CAC3UE4+DR=DQqtT+X0SYvH1XCVnmatD7frcHC5dtdVAef39UnQ@mail.gmail.com>
<CAJDmzYycnXODG_e9ATqTkooUu3C-RS703P1-RQLW5CdcCehsqg@mail.gmail.com>
<c568cc33-abba-4010-ac65-42c84dae6eb8n@googlegroups.com>
X-Mailer: Apple Mail (2.3826.600.51.1.1)
X-Original-Sender: sjors@sprovoost.nl
X-Original-Authentication-Results: gmr-mx.google.com; dkim=pass
header.i=@sprovoost.nl header.s=fm2 header.b=QASKPbcD; dkim=pass
header.i=@messagingengine.com header.s=fm1 header.b=LGmvZ7Ph; spf=pass
(google.com: domain of sjors@sprovoost.nl designates 103.168.172.145 as
permitted sender) smtp.mailfrom=sjors@sprovoost.nl; dmarc=pass (p=NONE
sp=NONE dis=NONE) header.from=sprovoost.nl
Precedence: list
Mailing-list: list bitcoindev@googlegroups.com; contact bitcoindev+owners@googlegroups.com
List-ID: <bitcoindev.googlegroups.com>
X-Google-Group-Id: 786775582512
List-Post: <https://groups.google.com/group/bitcoindev/post>, <mailto:bitcoindev@googlegroups.com>
List-Help: <https://groups.google.com/support/>, <mailto:bitcoindev+help@googlegroups.com>
List-Archive: <https://groups.google.com/group/bitcoindev
List-Subscribe: <https://groups.google.com/group/bitcoindev/subscribe>, <mailto:bitcoindev+subscribe@googlegroups.com>
List-Unsubscribe: <mailto:googlegroups-manage+786775582512+unsubscribe@googlegroups.com>,
<https://groups.google.com/group/bitcoindev/subscribe>
X-Spam-Score: -0.7 (/)
--Apple-Mail=_80E6C95E-B7A2-43A1-A0A1-9EC93DD884B0
Content-Transfer-Encoding: quoted-printable
Content-Type: text/plain; charset="UTF-8"
> Op 28 mei 2025, om 03:07 heeft waxwing/ AdamISZ <ekaggata@gmail.com> het =
volgende geschreven:
>=20
> Hi all,
>=20
> I'd like to point out that the worst case scenarios here might be even wo=
rse than one naturally thinks.
Good morning! :-)
> Two more observations:
>=20
> (3) I do really like the "disabled NUMS" concept in regard to taproot ext=
ernal keys, for paving the way to PQC in tapleaf. This is one kind of censo=
rship that cannot be controversial.
I brought this up [0], but it was later pointed out to me that it doesn't w=
ork.
The scriptPubKey that you see on chain is not the NUMS point itself. The in=
ternal key is a NUMS point, but it's tweaked. When this tweaked key is spen=
t, the tweak itself is not revealed, so the blockchain can't tell if a NUMS=
was involved, and can't block the spend.
- Sjors
https://groups.google.com/g/bitcoindev/c/uUK6py0Yjq0/m/bQk2v0E5BQAJ
--=20
You received this message because you are subscribed to the Google Groups "=
Bitcoin Development Mailing List" group.
To unsubscribe from this group and stop receiving emails from it, send an e=
mail to bitcoindev+unsubscribe@googlegroups.com.
To view this discussion visit https://groups.google.com/d/msgid/bitcoindev/=
7E385C29-F84D-45E1-8314-D735929F9DC1%40sprovoost.nl.
--Apple-Mail=_80E6C95E-B7A2-43A1-A0A1-9EC93DD884B0
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="UTF-8"
<html><head><meta http-equiv=3D"content-type" content=3D"text/html; charset=
=3Dus-ascii"></head><body style=3D"overflow-wrap: break-word; -webkit-nbsp-=
mode: space; line-break: after-white-space;"><br id=3D"lineBreakAtBeginning=
OfMessage"><div><br><blockquote type=3D"cite"><div>Op 28 mei 2025, om 03:07=
heeft waxwing/ AdamISZ <ekaggata@gmail.com> het volgende geschreven:=
</div><br class=3D"Apple-interchange-newline"><div><meta charset=3D"UTF-8">=
<div style=3D"caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size:=
12px; font-style: normal; font-variant-caps: normal; font-weight: 400; let=
ter-spacing: normal; text-align: start; text-indent: 0px; text-transform: n=
one; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px=
; text-decoration: none;">Hi all,</div><div style=3D"caret-color: rgb(0, 0,=
0); font-family: Helvetica; font-size: 12px; font-style: normal; font-vari=
ant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: sta=
rt; text-indent: 0px; text-transform: none; white-space: normal; word-spaci=
ng: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;"><br></div>=
<div style=3D"caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size:=
12px; font-style: normal; font-variant-caps: normal; font-weight: 400; let=
ter-spacing: normal; text-align: start; text-indent: 0px; text-transform: n=
one; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px=
; text-decoration: none;">I'd like to point out that the worst case scenari=
os here might be even worse than one naturally thinks.</div></div></blockqu=
ote><div><br></div><div>Good morning! :-)</div><div><br></div><blockquote t=
ype=3D"cite"><div><div style=3D"caret-color: rgb(0, 0, 0); font-family: Hel=
vetica; font-size: 12px; font-style: normal; font-variant-caps: normal; fon=
t-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px;=
text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text=
-stroke-width: 0px; text-decoration: none;">Two more observations:</div><di=
v style=3D"caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12=
px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter=
-spacing: normal; text-align: start; text-indent: 0px; text-transform: none=
; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; t=
ext-decoration: none;"><br></div><div style=3D"caret-color: rgb(0, 0, 0); f=
ont-family: Helvetica; font-size: 12px; font-style: normal; font-variant-ca=
ps: normal; font-weight: 400; letter-spacing: normal; text-align: start; te=
xt-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0p=
x; -webkit-text-stroke-width: 0px; text-decoration: none;">(3) I do really =
like the "disabled NUMS" concept in regard to taproot external keys, for pa=
ving the way to PQC in tapleaf. This is one kind of censorship that cannot =
be controversial.</div></div></blockquote><div><br></div><div>I brought thi=
s up [0], but it was later pointed out to me that it doesn't work.</div><di=
v><br></div><div>The scriptPubKey that you see on chain is not the NUMS poi=
nt itself. The internal key is a NUMS point, but it's tweaked. When this tw=
eaked key is spent, the tweak itself is not revealed, so the blockchain can=
't tell if a NUMS was involved, and can't block the spend.</div><div><br></=
div><div>- Sjors</div><div><br></div><a href=3D"https://groups.google.com/g=
/bitcoindev/c/uUK6py0Yjq0/m/bQk2v0E5BQAJ">https://groups.google.com/g/bitco=
indev/c/uUK6py0Yjq0/m/bQk2v0E5BQAJ</a></div><br></body></html>
<p></p>
-- <br />
You received this message because you are subscribed to the Google Groups &=
quot;Bitcoin Development Mailing List" group.<br />
To unsubscribe from this group and stop receiving emails from it, send an e=
mail to <a href=3D"mailto:bitcoindev+unsubscribe@googlegroups.com">bitcoind=
ev+unsubscribe@googlegroups.com</a>.<br />
To view this discussion visit <a href=3D"https://groups.google.com/d/msgid/=
bitcoindev/7E385C29-F84D-45E1-8314-D735929F9DC1%40sprovoost.nl?utm_medium=
=3Demail&utm_source=3Dfooter">https://groups.google.com/d/msgid/bitcoindev/=
7E385C29-F84D-45E1-8314-D735929F9DC1%40sprovoost.nl</a>.<br />
--Apple-Mail=_80E6C95E-B7A2-43A1-A0A1-9EC93DD884B0--
|
