summaryrefslogtreecommitdiff
path: root/a2/5ccd9f2ed04e6bbc5df4c212e67938bc276315
blob: 9c36d6044ffd6ba8f6abee937bded64ecfe812a8 (plain)
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
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
Delivery-date: Sat, 21 Dec 2024 15:26:01 -0800
Received: from mail-yw1-f184.google.com ([209.85.128.184])
	by mail.fairlystable.org with esmtps  (TLS1.3) tls TLS_ECDHE_RSA_WITH_AES_128_GCM_SHA256
	(Exim 4.94.2)
	(envelope-from <bitcoindev+bncBCU2P6FJ3EBBB7U4TW5QMGQE3SLVLGA@googlegroups.com>)
	id 1tP8r9-0000U8-Fl
	for bitcoindev@gnusha.org; Sat, 21 Dec 2024 15:26:01 -0800
Received: by mail-yw1-f184.google.com with SMTP id 00721157ae682-6eeeb850458sf24256377b3.2
        for <bitcoindev@gnusha.org>; Sat, 21 Dec 2024 15:25:59 -0800 (PST)
DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed;
        d=googlegroups.com; s=20230601; t=1734823553; x=1735428353; darn=gnusha.org;
        h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post
         :list-id:mailing-list:precedence:x-original-sender:mime-version
         :subject:references:in-reply-to:message-id:to:from:date:sender:from
         :to:cc:subject:date:message-id:reply-to;
        bh=9Vge0CgLz9kxIYtlbiO/kZOsZdvfWhRleoTgTZt1vjw=;
        b=j6bjE6HkXyO0vXSo4KhuojE0WBir63XC4IAxHjUbho+arULnH8qzQBK8a/SIxEs/3V
         RY1JOq8JBlGhGtnMUiElAE8+JCYBH9c6I/AiD+aKWs9yfJBEl2i+Pv1FKVgKUCAs4wNJ
         HTkYH4KtiAaqna3J5NbUF2iz6fPPATgfU4+k8+kjp6mjrrpAVNfYaF/0obR34Ojo+gwb
         MguUz43D/7kSJI8HaM+fu+uDKPDs7PF8s+1UktHGBW379Ga2NQCsxn+0QWQjY9/vuroP
         wRFrIxeWoBrgc8ljNl37XsoGtAsH2v0S2NGvp4ZNyo5nAs12itslDG83ddc9lzmM38QF
         cAeg==
DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed;
        d=gmail.com; s=20230601; t=1734823553; x=1735428353; darn=gnusha.org;
        h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post
         :list-id:mailing-list:precedence:x-original-sender:mime-version
         :subject:references:in-reply-to:message-id:to:from:date:from:to:cc
         :subject:date:message-id:reply-to;
        bh=9Vge0CgLz9kxIYtlbiO/kZOsZdvfWhRleoTgTZt1vjw=;
        b=C0bOGR3osVbh+lDBtRvWjbXlds56QmHCLiTwmNiFC3ayLi7PsMJTi7/xM0Vo4qkoCu
         AfMVq+S1ZOxIM83gbFyluPviyGSCqWLVvYbMPw+WA6mKdEMkBA3xpEk5PuK5ZGK/287s
         5jetoAdv24aHUH1MypLoOHQkNjDIvOlJE5fXIRk6bt42CNdQvg48HkoQEbRUoWu2L825
         YrYHSIzXkot9ywLXpvCBXvl/Z+VIsdnOBLbaAOP1DtQdVYGc+++6q/OtPObaXEsCcdzu
         Bc0ahxv/qrqbYkhthsgA3hL1fLOwd1mmpYtf6vPgIWAB9m59pSjBOH3n4s5Vuyrg7QhP
         90QA==
X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed;
        d=1e100.net; s=20230601; t=1734823553; x=1735428353;
        h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post
         :list-id:mailing-list:precedence:x-original-sender:mime-version
         :subject:references:in-reply-to:message-id:to:from:date:x-beenthere
         :x-gm-message-state:sender:from:to:cc:subject:date:message-id
         :reply-to;
        bh=9Vge0CgLz9kxIYtlbiO/kZOsZdvfWhRleoTgTZt1vjw=;
        b=K0htrNkuxVglvu8tlDVxkBNAkg9NzNU/nCi1GfbwLUzDUeYP53c4a+vGI1zMvCTxxP
         4Wr09c5T/R0oRTqTKb9g80bwsJKN/paFdcPTC3L1TbPdgRHqOE0SgN1WsV8oBvmPb8Rg
         fkyRgveSnJt7IhwZJWl+wXBsDxj0yWSVosOUjhWXLDEMsStA0qFWQVoRFxrtm5Lt+99X
         AjjzxDTBBfTpu50Uvd1jC/17PlkY4iAkIL7olwGpE3Y/ald22tHo7NSdT5bbNkf2gSxE
         TfbaPYGHzMfZ7w61AaK5qGHBkLlgr+BneapkPPZU1lvEUOqMg38Sj+/o8Jxs4a5nUpso
         4HXw==
Sender: bitcoindev@googlegroups.com
X-Forwarded-Encrypted: i=1; AJvYcCVEmMwTLkh7rGVStBYkkqXFDz8+nWWLBWJleb8xLebZrR6lCB6OGAYbRHL2mCDfBjRuYtVmlnCznmjW@gnusha.org
X-Gm-Message-State: AOJu0Yx53R2FMuvOlOUTz9VT+8bI706F3yfGlny2uCARxjexfAHKnsFl
	j2eK71TSlNPX6fZC9D+O/dwW+SzkVfRgKXzoQp2T9aibAoYr4taN
X-Google-Smtp-Source: AGHT+IHknBD48PsCQR70cOFSsieq4U9baH2oSaUSStC+o8cmXcCRCxVRzJdpMu+fW5IwWH3G+XBzxw==
X-Received: by 2002:a05:6902:10ce:b0:e39:80cd:cac1 with SMTP id 3f1490d57ef6-e538c40245bmr6320300276.49.1734823552664;
        Sat, 21 Dec 2024 15:25:52 -0800 (PST)
X-BeenThere: bitcoindev@googlegroups.com
Received: by 2002:a25:ad4f:0:b0:e30:e1d9:fe2c with SMTP id 3f1490d57ef6-e5375fdb21dls536144276.1.-pod-prod-03-us;
 Sat, 21 Dec 2024 15:25:50 -0800 (PST)
X-Received: by 2002:a05:690c:4986:b0:6ee:6c7d:4888 with SMTP id 00721157ae682-6f3f8144f76mr65359887b3.22.1734823550019;
        Sat, 21 Dec 2024 15:25:50 -0800 (PST)
Received: by 2002:a0d:d202:0:b0:6ef:7d10:5a2f with SMTP id 00721157ae682-6f3f56f322bms7b3;
        Sat, 21 Dec 2024 15:03:34 -0800 (PST)
X-Received: by 2002:a05:690c:620c:b0:6ee:65ae:2184 with SMTP id 00721157ae682-6f3f8239147mr63264727b3.37.1734822213374;
        Sat, 21 Dec 2024 15:03:33 -0800 (PST)
Date: Sat, 21 Dec 2024 15:03:32 -0800 (PST)
From: /dev /fd0 <alicexbtong@gmail.com>
To: Bitcoin Development Mailing List <bitcoindev@googlegroups.com>
Message-Id: <51eb0cc8-c9e0-4a50-9928-461f5f13264en@googlegroups.com>
In-Reply-To: <-LMvaPkFoIOkgwJOch3qo7y_ueGgiOSJWqdu0gpv3wSHTunca6AB14V-ZiR4IoDcvIkPTdoQeiy_JigGwl0ei2VpBj2tFyK-GFeE2gXZzXE=@proton.me>
References: <27b19012-20da-46a7-8a84-f90e0070aa77n@googlegroups.com>
 <-LMvaPkFoIOkgwJOch3qo7y_ueGgiOSJWqdu0gpv3wSHTunca6AB14V-ZiR4IoDcvIkPTdoQeiy_JigGwl0ei2VpBj2tFyK-GFeE2gXZzXE=@proton.me>
Subject: Re: [bitcoindev] Censorship and Privacy in Chaumian ecash implementations
MIME-Version: 1.0
Content-Type: multipart/mixed; 
	boundary="----=_Part_192402_838158198.1734822212929"
X-Original-Sender: alicexbtong@gmail.com
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: -0.5 (/)

------=_Part_192402_838158198.1734822212929
Content-Type: multipart/alternative; 
	boundary="----=_Part_192403_1051169886.1734822212929"

------=_Part_192403_1051169886.1734822212929
Content-Type: text/plain; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

Hi conduition,

>  For P2PK, the solution there seems deadly obvious: Just don't use raw=20
unobfuscated Nostr keys to receive ecash. Tweak it, or use a new random=20
key. This is a non-issue

This is an issue at present. I hope you fix it as you seem to be=20
[involved][1] in cashu development. The workarounds that you suggested will=
=20
still allow a **specific** key to be censored.

>  As for authentication systems, yes of course KYC-backed authentication=
=20
would allow censorship, but that is an optional spec which mints aren't=20
compelled to implement or use, even once the spec is finished. AFAIK no=20
mint implementations have this system in code yet, so it's not even a=20
feature at this point: just a proposed NUT document, sitting in draft=20
status. Your assertion that "none of the ecash implementation are=20
censorship resistant" is a blatantly false statement bereft of fact or=20
depth.

Being optional does not matter. It is **possible** for a mint to use=20
authentication which is the whole point of this mailing list post. It is=20
true that none of the ecash implementations are censorship resistant. Just=
=20
because censorship isn't implemented yet by mints does not mean the=20
protocol is censorship resistant.

The false statements exist in cashu docs with misleading things about=20
censorship resistance.

>  At worst they might lose the money they already stored with the=20
compromised mint, which is always a risk to keep in mind with ecash.

This is already described in my post.

>  So ecash devs have proposed standardized auth systems which would give=
=20
mint runners the *option* of knuckling under to KYC. I agree it would suck=
=20
to be put to that choice, but giving them the freedom to choose is=20
important and valid, and in no way compromises the integrity of other=20
non-KYC mints who perhaps operate freely in more enlightened jurisdictions.=
=20

Standardizing KYC in the protocol is the opposite of freedom and privacy.=
=20
Jurisdictions do not matter if a mint is large enough to be attacked by the=
=20
government agencies. There are enough examples for it.

>  If it's not part of the NUT standards, and mint runners need it, then=20
someone will just fork off and add it themselves. Better to pre-empt that=
=20
and keep the standards from fragmenting - that's the point of standards.=20

There are ways to avoid any kind of authentication and KYC in the protocol.=
=20
If someone still forks then it won't remain cashu protocol. However, I=20
won't waste my time explaining it because the goal seem to be helping=20
regulated entities to use cashu.

[1]: https://conduition.io/cryptography/ecash-dlc/

/dev/fd0
floppy disk guy

On Sunday, December 22, 2024 at 3:34:17=E2=80=AFAM UTC+5:30 conduition wrot=
e:

> Hi fd0,
>
> For P2PK, the solution there seems deadly obvious: Just don't use raw=20
> unobfuscated Nostr keys to receive ecash. Tweak it, or use a new random=
=20
> key. This is a non-issue.
>
> As for authentication systems, yes of course KYC-backed authentication=20
> would allow censorship, but that is an optional spec which mints aren't=
=20
> compelled to implement or use, even once the spec is finished. AFAIK no=
=20
> mint implementations have this system in code yet, so it's not even a=20
> feature at this point: just a proposed NUT document, sitting in draft=20
> status. Your assertion that "none of the ecash implementation are=20
> censorship resistant" is a blatantly false statement bereft of fact or=20
> depth.
>
> Even if we fast forward several years when perhaps *some* ecash mint=20
> implementations do implement the authentication spec as a fully-formed=20
> feature ready to go... If a mint starts enforcing KYC, or any other badne=
ss=20
> like censoring by IP address, users are free to switch to a different=20
> non-KYC mint instance. At worst they might lose the money they already=20
> stored with the compromised mint, which is always a risk to keep in mind=
=20
> with ecash.
>
> Your argument seems to be that introducing an opt-in feature spec like=20
> external authentication is inherently bad because it encourages/enables K=
YC=20
> in the first place, and that ecash devs should refuse to even standardize=
=20
> any protocol which enables KYC.=20
>
> Well I have hard news for you: Governments don't care about whether=20
> compliance is "easy" or "standardized". If uncle sam wants your mint to=
=20
> enforce KYC, he won't balk just because the mint's code doesn't provide a=
n=20
> easy way to do it. He'll give you a deadline to enforce KYC on your users=
,=20
> and if you can't prove you're compliant by then, you can kiss your busine=
ss=20
> goodbye.
>
> When faced with this choice, the ecash mint runner can either shut down=
=20
> their mint, or add KYC. Without an authentication system in place already=
,=20
> the mint runner would have to implement it all themselves to enforce KYC=
=20
> and stay in business. So ecash devs have proposed standardized auth syste=
ms=20
> which would give mint runners the *option* of knuckling under to KYC. I=
=20
> agree it would suck to be put to that choice, but giving them the freedom=
=20
> to choose is important and valid, and in no way compromises the integrity=
=20
> of other non-KYC mints who perhaps operate freely in more enlightened=20
> jurisdictions.=20
>
> If it's not part of the NUT standards, and mint runners need it, then=20
> someone will just fork off and add it themselves. Better to pre-empt that=
=20
> and keep the standards from fragmenting - that's the point of standards.=
=20
>
> -c
> On Saturday, December 21st, 2024 at 9:58 AM, /dev /fd0 <alice...@gmail.co=
m>=20
> wrote:
>
> Hi Bitcoin Developers,
>
> This post is about a myth and some misleading things shared about ecash.=
=20
> It is possible to censor specific users and none of the ecash=20
> implementation are censorship resistant.
>
> # Censorship Methods in Cashu
>
> There are 2 ways to censor individual users in cashu:
>
> 1. P2PK
> 2. Authentication
>
> ## P2PK
>
> Ecash tokens issued by cashu mints can be locked using public keys so tha=
t=20
> it can only be redeemed by the user who owns the private key for it. This=
=20
> links ecash with specific public keys and most implementation use nostr=
=20
> keys for it. Most users are doxxed on nostr so they can be censored based=
=20
> on their identity. Even if its linked to an anon they can be censored bas=
ed=20
> on their posts.
>
> You can find relevant code snippets in [conditions.py][1] if using=20
> nutshell for mint:
>
> ```python
> class LedgerSpendingConditions:
> def _verify_p2pk_spending_conditions(self, proof, secret):
> if SecretKind(secret.kind) !=3D SecretKind.P2PK:
> return True
> p2pk_secret =3D P2PKSecret.from_secret(secret)
> pubkeys =3D [p2pk_secret.data] + p2pk_secret.tags.get_tag_all("pubkeys")
> if p2pk_secret.locktime and p2pk_secret.locktime < time.time():
> refund_pubkeys =3D p2pk_secret.tags.get_tag_all("refund")
> if not refund_pubkeys:
> return True
> return self._verify_secret_signatures(
> proof, refund_pubkeys, proof.p2pksigs, 1
> )
> return self._verify_secret_signatures(
> proof, pubkeys, proof.p2pksigs, p2pk_secret.n_sigs
> )
>
> def _verify_htlc_spending_conditions(self, proof, secret):
> if SecretKind(secret.kind) !=3D SecretKind.HTLC:
> return True
> htlc_secret =3D HTLCSecret.from_secret(secret)
> if htlc_secret.locktime and htlc_secret.locktime < time.time():
> refund_pubkeys =3D htlc_secret.tags.get_tag_all("refund")
> if refund_pubkeys:
> return self._verify_secret_signatures(
> proof, refund_pubkeys, proof.p2pksigs, 1
> )
> return True
> assert proof.htlcpreimage, TransactionError("no HTLC preimage provided")
> if not hashlib.sha256(bytes.fromhex(proof.htlcpreimage)).digest() =3D=3D=
=20
> bytes.fromhex(htlc_secret.data):
> raise TransactionError("HTLC preimage does not match.")
> hashlock_pubkeys =3D htlc_secret.tags.get_tag_all("pubkeys")
> if not hashlock_pubkeys:
> return True
> return self._verify_secret_signatures(
> proof, hashlock_pubkeys, proof.htlcsigs or [], htlc_secret.n_sigs
> )
>
> def _verify_secret_signatures(self, proof, pubkeys, signatures,=20
> n_sigs_required=3D1):
> assert len(set(pubkeys)) =3D=3D len(pubkeys), "pubkeys must be unique."
> if not signatures:
> raise TransactionError("no signatures in proof.")
> if len(set(signatures)) !=3D len(signatures):
> raise TransactionError("signatures must be unique.")
> n_sigs_required =3D n_sigs_required or 1
> assert n_sigs_required > 0, "n_sigs must be positive."
> assert len(signatures) >=3D n_sigs_required, f"not enough signatures=20
> provided: {len(signatures)} < {n_sigs_required}."
> n_valid_sigs_per_output =3D 0
> for input_sig in signatures:
> for pubkey in pubkeys:
> if verify_schnorr_signature(
> message=3Dproof.secret.encode("utf-8"),
> pubkey=3DPublicKey(bytes.fromhex(pubkey), raw=3DTrue),
> signature=3Dbytes.fromhex(input_sig),
> ):
> n_valid_sigs_per_output +=3D 1
> assert n_valid_sigs_per_output, "no valid signature provided for input."
> assert n_valid_sigs_per_output >=3D n_sigs_required, f"signature threshol=
d=20
> not met. {n_valid_sigs_per_output} < {n_sigs_required}."
> return True
>
> def _verify_input_spending_conditions(self, proof):
> try:
> secret =3D Secret.deserialize(proof.secret)
> except Exception:
> return True
> if SecretKind(secret.kind) =3D=3D SecretKind.P2PK:
> return self._verify_p2pk_spending_conditions(proof, secret)
> if SecretKind(secret.kind) =3D=3D SecretKind.HTLC:
> return self._verify_htlc_spending_conditions(proof, secret)
> return True
>
> def _verify_output_p2pk_spending_conditions(self, proofs, outputs):
> try:
> secrets_generic =3D [Secret.deserialize(p.secret) for p in proofs]
> p2pk_secrets =3D [P2PKSecret.from_secret(secret) for secret in=20
> secrets_generic]
> except Exception:
> return True
> if not all([SecretKind(secret.kind) =3D=3D SecretKind.P2PK for secret in=
=20
> p2pk_secrets]):
> return True
> if not all([secret.sigflag =3D=3D SigFlags.SIG_ALL for secret in=20
> p2pk_secrets]):
> return True
> pubkeys_per_proof =3D [
> [p2pk_secret.data] + p2pk_secret.tags.get_tag_all("pubkeys")
> for p2pk_secret in p2pk_secrets
> ]
> n_sigs_per_proof =3D [p2pk_secret.n_sigs for p2pk_secret in p2pk_secrets]
> for p2pk_secret in p2pk_secrets:
> if p2pk_secret.locktime and p2pk_secret.locktime < time.time():
> refund_pubkeys =3D p2pk_secret.tags.get_tag_all("refund")
> if refund_pubkeys:
> pubkeys_per_proof.append(refund_pubkeys)
> n_sigs_per_proof.append(1)
> if not pubkeys_per_proof:
> return True
> assert len({tuple(pubs_output) for pubs_output in pubkeys_per_proof}) =3D=
=3D=20
> 1, "pubkeys in all proofs must match."
> assert len(set(n_sigs_per_proof)) =3D=3D 1, "n_sigs in all proofs must ma=
tch."
> pubkeys =3D pubkeys_per_proof[0]
> n_sigs =3D n_sigs_per_proof[0] or 1
> for output in outputs:
> p2pksigs =3D output.p2pksigs
> assert p2pksigs, "no signatures in output."
> assert len(set(p2pksigs)) =3D=3D len(p2pksigs), "duplicate signatures in=
=20
> output."
> n_valid_sigs_per_output =3D 0
> for sig in p2pksigs:
> for pubkey in pubkeys:
> if verify_schnorr_signature(
> message=3Dbytes.fromhex(output.B_),
> pubkey=3DPublicKey(bytes.fromhex(pubkey), raw=3DTrue),
> signature=3Dbytes.fromhex(sig),
> ):
> n_valid_sigs_per_output +=3D 1
> assert n_valid_sigs_per_output, "no valid signature provided for output."
> assert n_valid_sigs_per_output >=3D n_sigs, f"signature threshold not met=
.=20
> {n_valid_sigs_per_output} < {n_sigs}."
> return True
>
> def _verify_output_spending_conditions(self, proofs, outputs):
> return self._verify_output_p2pk_spending_conditions(proofs, outputs)
> ```
>
> ## Authentication
>
> Mints can enforce authentication at some point and do KYC for mint, melt,=
=20
> swap etc. Users who refuse to KYC will not be able to use or redeem their=
=20
> ecash tokens. Some of the KYCed users can be censored based on their=20
> identity. This would also affect privacy.
>
> gandlaf21 agrees this is possible however it is still marketed as=20
> censorship resistant.=20
>
> There was some discussion about it in a pull request and supertestnet als=
o=20
> shared his thoughts:=20
> https://github.com/bitcoinlayers/bitcoinlayers/pull/164
>
> This whole debate started in May 2024 when cashu's twitter account=20
> [announced][2] that they are considering adding an authentication in the=
=20
> protocol as it is requested by regulated entities.
>
> The authentication mechanism is shared in this [pull request][3] which=20
> links each user with linkingkey and it will compromise privacy:
>
> ```
> POST https://bob.com/v1/auth
>
> Post Data:
> {=20
> action:"mint",=20
> k1:"8278e1a48e61c261916791dabb6af760488e4f01932e11fe7054f59754e3de6e"
> signature:c568f78e4b234a5f7d8c3b2a679e48d1234567890abcdef
> linkingKey:7345786068584cd33000582ba87a9ddf77db5377c67910ab59d7e9a5f44
> }
>
> Response:
>
> HTTP/1.1 200 OK
>
> {
> "access_token": "9876543210fedcba",
> "token_type": "Bearer",
> "expires_in": 3600
> }
> ```
>
> This pull request was closed last week and a new authentication mechanism=
=20
> is proposed: https://github.com/cashubtc/nuts/pull/198
>
> It uses clear and blind auth but users can still be censored with KYC=20
> based on their identity. You can understand the details from this=20
> [comment][4].
>
> ## Conclusion
>
> The authentication mechanisms shared above are not the only way mints can=
=20
> restrict users as there is nothing in the protocol that stops mints from=
=20
> using a custom authentication.
>
> Introducing KYC in protocol is against freedom and privacy. These=20
> custodial solutions might end up being another compliant ecash=20
> implementation like [GNU Taler][5]. This would also make it easier for=20
> government agencies to target other mints that do not comply.
>
> [1]:=20
> https://github.com/cashubtc/nutshell/blob/main/cashu/mint/conditions.py
> [2]: https://x.com/CashuBTC/status/1791001643019809146
> [3]: https://github.com/cashubtc/nuts/pull/106
> [4]: https://github.com/cashubtc/nuts/pull/198#issuecomment-2508706328
> [5]: https://taler.net/en/index.html
>
> /dev/fd0
> floppy disk guy
>
> --=20
> You received this message because you are subscribed to the Google Groups=
=20
> "Bitcoin Development Mailing List" group.
> To unsubscribe from this group and stop receiving emails from it, send an=
=20
> email to bitcoindev+...@googlegroups.com.
> To view this discussion visit=20
> https://groups.google.com/d/msgid/bitcoindev/27b19012-20da-46a7-8a84-f90e=
0070aa77n%40googlegroups.com
> .
>
>
>

--=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/=
51eb0cc8-c9e0-4a50-9928-461f5f13264en%40googlegroups.com.

------=_Part_192403_1051169886.1734822212929
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

Hi conduition,<br /><br />&gt;=C2=A0

<span style=3D"font-family: Arial, sans-serif;">For P2PK, the solution ther=
e seems deadly obvious: Just don't use raw unobfuscated Nostr keys to recei=
ve ecash. Tweak it, or use a new random key. This is a non-issue<br /></spa=
n><br />This is an issue at present. I hope you fix it as you seem to be [i=
nvolved][1] in cashu development. The workarounds that you suggested will s=
till allow a **specific** key to be censored.<br /><br />&gt;=C2=A0

<span style=3D"font-family: Arial, sans-serif;">As for authentication syste=
ms, yes of course KYC-backed authentication would allow censorship, but tha=
t is an optional spec which mints aren't compelled to implement or use, eve=
n once the spec is finished. AFAIK no mint implementations have this system=
 in code yet, so it's not even a feature at this point: just a proposed NUT=
 document, sitting in draft status. Your assertion that "</span><span style=
=3D"font-family: Arial, sans-serif;">none of the ecash implementation are c=
ensorship resistant" is a blatantly false statement bereft of fact or depth=
.<br /></span><br />Being optional does not matter. It is **possible** for =
a mint to use authentication which is the whole point of this mailing list =
post. It is true that none of the ecash implementations are censorship resi=
stant. Just because censorship isn't implemented yet by mints does not mean=
 the protocol is censorship resistant.<br /><br />The false statements exis=
t in cashu docs with misleading things about censorship resistance.<br /><b=
r />&gt;=C2=A0

<span style=3D"font-family: Arial, sans-serif;">At worst they might lose th=
e money they already stored with the compromised mint, which is always a ri=
sk to keep in mind with ecash.<br /></span><br />This is already described =
in my post.<br /><br />&gt;=C2=A0

<span style=3D"font-family: Arial, sans-serif;">So ecash devs have proposed=
 standardized auth systems which would give mint runners the=C2=A0</span><i=
 style=3D"font-family: Arial, sans-serif;">option</i><span style=3D"font-fa=
mily: Arial, sans-serif;">=C2=A0of knuckling under to KYC. I agree it would=
 suck to be put to that choice, but giving them the freedom to choose is im=
portant and valid, and in no way compromises the integrity of other non-KYC=
 mints who perhaps operate freely in more enlightened jurisdictions.=C2=A0<=
br /></span><br />Standardizing KYC in the protocol is the opposite of free=
dom and privacy. Jurisdictions do not matter if a mint is large enough to b=
e attacked by the government agencies. There are enough examples for it.<br=
 /><br />&gt;=C2=A0

<span style=3D"font-family: Arial, sans-serif;">If it's not part of the NUT=
 standards, and mint runners need it, then someone will just fork off and a=
dd it themselves. Better to pre-empt that and keep the standards from fragm=
enting - that's the point of standards.=C2=A0<br /></span><br />There are w=
ays to avoid any kind of authentication and KYC in the protocol. If someone=
 still forks then it won't remain cashu protocol. However, I won't waste my=
 time explaining it because the goal seem to be helping regulated entities =
to use cashu.<div><br /></div><div>[1]:=C2=A0https://conduition.io/cryptogr=
aphy/ecash-dlc/<br /><br />/dev/fd0<div>floppy disk guy<br /><br /></div></=
div><div class=3D"gmail_quote"><div dir=3D"auto" class=3D"gmail_attr">On Su=
nday, December 22, 2024 at 3:34:17=E2=80=AFAM UTC+5:30 conduition wrote:<br=
/></div><blockquote class=3D"gmail_quote" style=3D"margin: 0 0 0 0.8ex; bor=
der-left: 1px solid rgb(204, 204, 204); padding-left: 1ex;"><div style=3D"f=
ont-family:Arial,sans-serif;font-size:14px">Hi fd0,</div><div style=3D"font=
-family:Arial,sans-serif;font-size:14px"><br></div><div style=3D"font-famil=
y:Arial,sans-serif;font-size:14px"><span style=3D"display:inline!important;=
background-color:rgb(255,255,255)">For P2PK, the solution there seems deadl=
y obvious: Just don&#39;t use raw unobfuscated Nostr keys to receive ecash.=
 Tweak it, or use a new random key. This is a non-issue.</span><br></div><d=
iv style=3D"font-family:Arial,sans-serif;font-size:14px"><br></div><div sty=
le=3D"font-family:Arial,sans-serif;font-size:14px">As for authentication sy=
stems, yes of course KYC-backed authentication would allow censorship, but =
that is an optional spec which mints aren&#39;t compelled to implement or u=
se, even once the spec is finished. AFAIK no mint implementations have this=
 system in code yet, so it&#39;s not even a feature at this point: just a p=
roposed NUT document, sitting in draft status. Your assertion that &quot;<s=
pan>none of the ecash implementation are censorship resistant&quot; is a bl=
atantly false statement bereft of fact or depth.</span></div><div style=3D"=
font-family:Arial,sans-serif;font-size:14px"><br></div><div style=3D"font-f=
amily:Arial,sans-serif;font-size:14px">Even if we fast forward several year=
s when perhaps <i>some</i> ecash mint implementations do=C2=A0implement the=
 authentication spec as a fully-formed feature ready to go...=C2=A0If a min=
t starts enforcing KYC, or any other badness like censoring by IP address, =
users are free to switch to a different non-KYC mint instance. At worst the=
y might lose the money they already stored with the compromised mint, which=
 is always a risk to keep in mind with ecash.</div><div style=3D"font-famil=
y:Arial,sans-serif;font-size:14px"><span><br></span></div><div style=3D"fon=
t-family:Arial,sans-serif;font-size:14px"><span></span></div><div style=3D"=
font-family:Arial,sans-serif;font-size:14px">Your argument seems to be that=
 introducing an opt-in feature spec like external authentication is inheren=
tly bad because it encourages/enables=C2=A0KYC in the first place, and that=
 ecash devs should refuse to even standardize any protocol which enables KY=
C.=C2=A0</div><div style=3D"font-family:Arial,sans-serif;font-size:14px"><b=
r></div><div style=3D"font-family:Arial,sans-serif;font-size:14px">Well I h=
ave hard news for you: Governments don&#39;t care about whether compliance =
is &quot;easy&quot; or &quot;standardized&quot;. If uncle sam wants your mi=
nt to enforce KYC, he won&#39;t balk just because the mint&#39;s code doesn=
&#39;t provide an easy way to do it. He&#39;ll give you a deadline to enfor=
ce KYC on your users, and if you can&#39;t prove you&#39;re compliant by th=
en, you can kiss your business goodbye.</div><div style=3D"font-family:Aria=
l,sans-serif;font-size:14px"><br></div><div style=3D"font-family:Arial,sans=
-serif;font-size:14px">When faced with this choice, the ecash mint runner c=
an either shut down their mint, or add KYC. Without an authentication syste=
m in place already, the mint runner would have to implement it all themselv=
es to enforce KYC and stay in business. So ecash devs have proposed standar=
dized auth systems which would give mint runners the <i>option</i> of knuck=
ling under to KYC. I agree it would suck to be put to that choice, but givi=
ng them the freedom to choose is important and valid, and in no way comprom=
ises the integrity of other non-KYC mints who perhaps operate freely in mor=
e enlightened jurisdictions.=C2=A0</div><div style=3D"font-family:Arial,san=
s-serif;font-size:14px"><br></div><div style=3D"font-family:Arial,sans-seri=
f;font-size:14px">If it&#39;s not part of the NUT standards, and mint runne=
rs need it, then someone will just fork off and add it themselves. Better t=
o pre-empt that and keep the standards from fragmenting - that&#39;s the po=
int of standards.=C2=A0</div><div style=3D"font-family:Arial,sans-serif;fon=
t-size:14px"><br></div><div style=3D"font-family:Arial,sans-serif;font-size=
:14px">-c</div><div></div><div>
        On Saturday, December 21st, 2024 at 9:58 AM, /dev /fd0 &lt;<a href =
data-email-masked rel=3D"nofollow">alice...@gmail.com</a>&gt; wrote:<br>
        </div><div><blockquote type=3D"cite">
            Hi Bitcoin Developers,<br><br>This post is about a myth and som=
e misleading things shared about ecash. It is possible to censor specific u=
sers and none of the ecash implementation are censorship resistant.<br><div=
><br></div><div># Censorship Methods in Cashu<br><br>There are 2 ways to ce=
nsor individual users in cashu:<br><br>1. P2PK<br>2. Authentication<br><br>=
## P2PK<br><br>Ecash tokens issued by cashu mints can be locked using publi=
c keys so that it can only be redeemed by the user who owns the private key=
 for it. This links ecash with specific public keys and most implementation=
 use nostr keys for it. Most users are doxxed on nostr so they can be censo=
red based on their identity. Even if its linked to an anon they can be cens=
ored based on their posts.<br><br>You can find relevant code snippets in [c=
onditions.py][1] if using nutshell for mint:<br><br>```python<br>class Ledg=
erSpendingConditions:<br>    def _verify_p2pk_spending_conditions(self, pro=
of, secret):<br>        if SecretKind(secret.kind) !=3D SecretKind.P2PK:<br=
>            return True<br>        p2pk_secret =3D P2PKSecret.from_secret(=
secret)<br>        pubkeys =3D [p2pk_secret.data] + p2pk_secret.tags.get_ta=
g_all(&quot;pubkeys&quot;)<br>        if p2pk_secret.locktime and p2pk_secr=
et.locktime &lt; time.time():<br>            refund_pubkeys =3D p2pk_secret=
.tags.get_tag_all(&quot;refund&quot;)<br>            if not refund_pubkeys:=
<br>                return True<br>            return self._verify_secret_s=
ignatures(<br>                proof, refund_pubkeys, proof.p2pksigs, 1<br> =
           )<br>        return self._verify_secret_signatures(<br>         =
   proof, pubkeys, proof.p2pksigs, p2pk_secret.n_sigs<br>        )<br><br> =
   def _verify_htlc_spending_conditions(self, proof, secret):<br>        if=
 SecretKind(secret.kind) !=3D SecretKind.HTLC:<br>            return True<b=
r>        htlc_secret =3D HTLCSecret.from_secret(secret)<br>        if htlc=
_secret.locktime and htlc_secret.locktime &lt; time.time():<br>            =
refund_pubkeys =3D htlc_secret.tags.get_tag_all(&quot;refund&quot;)<br>    =
        if refund_pubkeys:<br>                return self._verify_secret_si=
gnatures(<br>                    proof, refund_pubkeys, proof.p2pksigs, 1<b=
r>                )<br>            return True<br>        assert proof.htlc=
preimage, TransactionError(&quot;no HTLC preimage provided&quot;)<br>      =
  if not hashlib.sha256(bytes.fromhex(proof.htlcpreimage)).digest() =3D=3D =
bytes.fromhex(htlc_secret.data):<br>            raise TransactionError(&quo=
t;HTLC preimage does not match.&quot;)<br>        hashlock_pubkeys =3D htlc=
_secret.tags.get_tag_all(&quot;pubkeys&quot;)<br>        if not hashlock_pu=
bkeys:<br>            return True<br>        return self._verify_secret_sig=
natures(<br>            proof, hashlock_pubkeys, proof.htlcsigs or [], htlc=
_secret.n_sigs<br>        )<br><br>    def _verify_secret_signatures(self, =
proof, pubkeys, signatures, n_sigs_required=3D1):<br>        assert len(set=
(pubkeys)) =3D=3D len(pubkeys), &quot;pubkeys must be unique.&quot;<br>    =
    if not signatures:<br>            raise TransactionError(&quot;no signa=
tures in proof.&quot;)<br>        if len(set(signatures)) !=3D len(signatur=
es):<br>            raise TransactionError(&quot;signatures must be unique.=
&quot;)<br>        n_sigs_required =3D n_sigs_required or 1<br>        asse=
rt n_sigs_required &gt; 0, &quot;n_sigs must be positive.&quot;<br>        =
assert len(signatures) &gt;=3D n_sigs_required, f&quot;not enough signature=
s provided: {len(signatures)} &lt; {n_sigs_required}.&quot;<br>        n_va=
lid_sigs_per_output =3D 0<br>        for input_sig in signatures:<br>      =
      for pubkey in pubkeys:<br>                if verify_schnorr_signature=
(<br>                    message=3Dproof.secret.encode(&quot;utf-8&quot;),<=
br>                    pubkey=3DPublicKey(bytes.fromhex(pubkey), raw=3DTrue=
),<br>                    signature=3Dbytes.fromhex(input_sig),<br>        =
        ):<br>                    n_valid_sigs_per_output +=3D 1<br>       =
 assert n_valid_sigs_per_output, &quot;no valid signature provided for inpu=
t.&quot;<br>        assert n_valid_sigs_per_output &gt;=3D n_sigs_required,=
 f&quot;signature threshold not met. {n_valid_sigs_per_output} &lt; {n_sigs=
_required}.&quot;<br>        return True<br><br>    def _verify_input_spend=
ing_conditions(self, proof):<br>        try:<br>            secret =3D Secr=
et.deserialize(proof.secret)<br>        except Exception:<br>            re=
turn True<br>        if SecretKind(secret.kind) =3D=3D SecretKind.P2PK:<br>=
            return self._verify_p2pk_spending_conditions(proof, secret)<br>=
        if SecretKind(secret.kind) =3D=3D SecretKind.HTLC:<br>            r=
eturn self._verify_htlc_spending_conditions(proof, secret)<br>        retur=
n True<br><br>    def _verify_output_p2pk_spending_conditions(self, proofs,=
 outputs):<br>        try:<br>            secrets_generic =3D [Secret.deser=
ialize(p.secret) for p in proofs]<br>            p2pk_secrets =3D [P2PKSecr=
et.from_secret(secret) for secret in secrets_generic]<br>        except Exc=
eption:<br>            return True<br>        if not all([SecretKind(secret=
.kind) =3D=3D SecretKind.P2PK for secret in p2pk_secrets]):<br>            =
return True<br>        if not all([secret.sigflag =3D=3D SigFlags.SIG_ALL f=
or secret in p2pk_secrets]):<br>            return True<br>        pubkeys_=
per_proof =3D [<br>            [p2pk_secret.data] + p2pk_secret.tags.get_ta=
g_all(&quot;pubkeys&quot;)<br>            for p2pk_secret in p2pk_secrets<b=
r>        ]<br>        n_sigs_per_proof =3D [p2pk_secret.n_sigs for p2pk_se=
cret in p2pk_secrets]<br>        for p2pk_secret in p2pk_secrets:<br>      =
      if p2pk_secret.locktime and p2pk_secret.locktime &lt; time.time():<br=
>                refund_pubkeys =3D p2pk_secret.tags.get_tag_all(&quot;refu=
nd&quot;)<br>                if refund_pubkeys:<br>                    pubk=
eys_per_proof.append(refund_pubkeys)<br>                    n_sigs_per_proo=
f.append(1)<br>        if not pubkeys_per_proof:<br>            return True=
<br>        assert len({tuple(pubs_output) for pubs_output in pubkeys_per_p=
roof}) =3D=3D 1, &quot;pubkeys in all proofs must match.&quot;<br>        a=
ssert len(set(n_sigs_per_proof)) =3D=3D 1, &quot;n_sigs in all proofs must =
match.&quot;<br>        pubkeys =3D pubkeys_per_proof[0]<br>        n_sigs =
=3D n_sigs_per_proof[0] or 1<br>        for output in outputs:<br>         =
   p2pksigs =3D output.p2pksigs<br>            assert p2pksigs, &quot;no si=
gnatures in output.&quot;<br>            assert len(set(p2pksigs)) =3D=3D l=
en(p2pksigs), &quot;duplicate signatures in output.&quot;<br>            n_=
valid_sigs_per_output =3D 0<br>            for sig in p2pksigs:<br>        =
        for pubkey in pubkeys:<br>                    if verify_schnorr_sig=
nature(<br>                        message=3Dbytes.fromhex(output.B_),<br> =
                       pubkey=3DPublicKey(bytes.fromhex(pubkey), raw=3DTrue=
),<br>                        signature=3Dbytes.fromhex(sig),<br>          =
          ):<br>                        n_valid_sigs_per_output +=3D 1<br> =
           assert n_valid_sigs_per_output, &quot;no valid signature provide=
d for output.&quot;<br>            assert n_valid_sigs_per_output &gt;=3D n=
_sigs, f&quot;signature threshold not met. {n_valid_sigs_per_output} &lt; {=
n_sigs}.&quot;<br>        return True<br><br>    def _verify_output_spendin=
g_conditions(self, proofs, outputs):<br>        return self._verify_output_=
p2pk_spending_conditions(proofs, outputs)<br>```<br><br>## Authentication<b=
r><br>Mints can enforce authentication at some point and do KYC for mint, m=
elt, swap etc. Users who refuse to KYC will not be able to use or redeem th=
eir ecash tokens. Some of the KYCed users can be censored based on their id=
entity. This would also affect privacy.<br><br>gandlaf21 agrees this is pos=
sible however it is still marketed as censorship resistant. <br><br>There w=
as some discussion about it in a pull request and supertestnet also shared =
his thoughts: <a href=3D"https://github.com/bitcoinlayers/bitcoinlayers/pul=
l/164" target=3D"_blank" rel=3D"nofollow" data-saferedirecturl=3D"https://w=
ww.google.com/url?hl=3Den&amp;q=3Dhttps://github.com/bitcoinlayers/bitcoinl=
ayers/pull/164&amp;source=3Dgmail&amp;ust=3D1734907024882000&amp;usg=3DAOvV=
aw3aVPG8X82bQmUeSO1W3TtU">https://github.com/bitcoinlayers/bitcoinlayers/pu=
ll/164</a><br><br>This whole debate started in May 2024 when cashu&#39;s tw=
itter account [announced][2] that they are considering adding an authentica=
tion in the protocol as it is requested by regulated entities.<br><br>The a=
uthentication mechanism is shared in this [pull request][3] which links eac=
h user with linkingkey and it will compromise privacy:<br><br>```<br>POST <=
a href=3D"https://bob.com/v1/auth" target=3D"_blank" rel=3D"nofollow" data-=
saferedirecturl=3D"https://www.google.com/url?hl=3Den&amp;q=3Dhttps://bob.c=
om/v1/auth&amp;source=3Dgmail&amp;ust=3D1734907024882000&amp;usg=3DAOvVaw3o=
TrtvIJYHu1id-3npeyJ3">https://bob.com/v1/auth</a><br><br>Post Data:<br>{ <b=
r>  action:&quot;mint&quot;, <br>  k1:&quot;8278e1a48e61c261916791dabb6af76=
0488e4f01932e11fe7054f59754e3de6e&quot;<br>  signature:c568f78e4b234a5f7d8c=
3b2a679e48d1234567890abcdef<br>  linkingKey:7345786068584cd33000582ba87a9dd=
f77db5377c67910ab59d7e9a5f44<br>}<br><br>Response:<br><br>HTTP/1.1 200 OK<b=
r><br>{<br>  &quot;access_token&quot;: &quot;9876543210fedcba&quot;,<br>  &=
quot;token_type&quot;: &quot;Bearer&quot;,<br>  &quot;expires_in&quot;: 360=
0<br>}<br>```<br><br>This pull request was closed last week and a new authe=
ntication mechanism is proposed: <a href=3D"https://github.com/cashubtc/nut=
s/pull/198" target=3D"_blank" rel=3D"nofollow" data-saferedirecturl=3D"http=
s://www.google.com/url?hl=3Den&amp;q=3Dhttps://github.com/cashubtc/nuts/pul=
l/198&amp;source=3Dgmail&amp;ust=3D1734907024882000&amp;usg=3DAOvVaw1srbMVH=
PtK1qi3EzcmZn1H">https://github.com/cashubtc/nuts/pull/198</a><br><br>It us=
es clear and blind auth but users can still be censored with KYC based on t=
heir identity. You can understand the details from this [comment][4].<br><b=
r>## Conclusion<br><br>The authentication mechanisms shared above are not t=
he only way mints can restrict users as there is nothing in the protocol th=
at stops mints from using a custom authentication.<br><br>Introducing KYC i=
n protocol is against freedom and privacy. These custodial solutions might =
end up being another compliant ecash implementation like [GNU Taler][5]. Th=
is would also make it easier for government agencies to target other mints =
that do not comply.<br><br>[1]: <a href=3D"https://github.com/cashubtc/nuts=
hell/blob/main/cashu/mint/conditions.py" target=3D"_blank" rel=3D"nofollow"=
 data-saferedirecturl=3D"https://www.google.com/url?hl=3Den&amp;q=3Dhttps:/=
/github.com/cashubtc/nutshell/blob/main/cashu/mint/conditions.py&amp;source=
=3Dgmail&amp;ust=3D1734907024882000&amp;usg=3DAOvVaw0ysBnDUr4ArG3xaDT7ZX20"=
>https://github.com/cashubtc/nutshell/blob/main/cashu/mint/conditions.py</a=
><br>[2]: <a href=3D"https://x.com/CashuBTC/status/1791001643019809146" tar=
get=3D"_blank" rel=3D"nofollow" data-saferedirecturl=3D"https://www.google.=
com/url?hl=3Den&amp;q=3Dhttps://x.com/CashuBTC/status/1791001643019809146&a=
mp;source=3Dgmail&amp;ust=3D1734907024882000&amp;usg=3DAOvVaw3wmjyBTXGk8ipm=
GufUDG2c">https://x.com/CashuBTC/status/1791001643019809146</a><br>[3]: <a =
href=3D"https://github.com/cashubtc/nuts/pull/106" target=3D"_blank" rel=3D=
"nofollow" data-saferedirecturl=3D"https://www.google.com/url?hl=3Den&amp;q=
=3Dhttps://github.com/cashubtc/nuts/pull/106&amp;source=3Dgmail&amp;ust=3D1=
734907024882000&amp;usg=3DAOvVaw1WcmgB1AU6XK2nlkPYS3m1">https://github.com/=
cashubtc/nuts/pull/106</a><br>[4]: <a href=3D"https://github.com/cashubtc/n=
uts/pull/198#issuecomment-2508706328" target=3D"_blank" rel=3D"nofollow" da=
ta-saferedirecturl=3D"https://www.google.com/url?hl=3Den&amp;q=3Dhttps://gi=
thub.com/cashubtc/nuts/pull/198%23issuecomment-2508706328&amp;source=3Dgmai=
l&amp;ust=3D1734907024882000&amp;usg=3DAOvVaw1s4K7aDIcwlCLsuExsq73I">https:=
//github.com/cashubtc/nuts/pull/198#issuecomment-2508706328</a><br>[5]: <a =
href=3D"https://taler.net/en/index.html" target=3D"_blank" rel=3D"nofollow"=
 data-saferedirecturl=3D"https://www.google.com/url?hl=3Den&amp;q=3Dhttps:/=
/taler.net/en/index.html&amp;source=3Dgmail&amp;ust=3D1734907024882000&amp;=
usg=3DAOvVaw3H5Pad3n2SlM2ZOQ6k4cwY">https://taler.net/en/index.html</a><br>=
<br>/dev/fd0<br>floppy disk guy</div>

<p></p></blockquote></div><div><blockquote type=3D"cite">

-- <br>
You received this message because you are subscribed to the Google Groups &=
quot;Bitcoin Development Mailing List&quot; group.<br>
To unsubscribe from this group and stop receiving emails from it, send an e=
mail to <a href rel=3D"noreferrer nofollow noopener" data-email-masked>bitc=
oindev+...@googlegroups.com</a>.<br>
To view this discussion visit <a href=3D"https://groups.google.com/d/msgid/=
bitcoindev/27b19012-20da-46a7-8a84-f90e0070aa77n%40googlegroups.com" rel=3D=
"noreferrer nofollow noopener" target=3D"_blank" data-saferedirecturl=3D"ht=
tps://www.google.com/url?hl=3Den&amp;q=3Dhttps://groups.google.com/d/msgid/=
bitcoindev/27b19012-20da-46a7-8a84-f90e0070aa77n%2540googlegroups.com&amp;s=
ource=3Dgmail&amp;ust=3D1734907024882000&amp;usg=3DAOvVaw3gWNMKyQN7bAEutVee=
zX0z">https://groups.google.com/d/msgid/bitcoindev/27b19012-20da-46a7-8a84-=
f90e0070aa77n%40googlegroups.com</a>.<br>

        </blockquote><br>
    </div></blockquote></div>

<p></p>

-- <br />
You received this message because you are subscribed to the Google Groups &=
quot;Bitcoin Development Mailing List&quot; 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/51eb0cc8-c9e0-4a50-9928-461f5f13264en%40googlegroups.com?utm_med=
ium=3Demail&utm_source=3Dfooter">https://groups.google.com/d/msgid/bitcoind=
ev/51eb0cc8-c9e0-4a50-9928-461f5f13264en%40googlegroups.com</a>.<br />

------=_Part_192403_1051169886.1734822212929--

------=_Part_192402_838158198.1734822212929--