MTOTP: Wouldn't it be nice if you were the 2FA device?

20 days ago (github.com)

What makes this 2FA? It's "something you know, plus mental labor", which makes it a password.

2FA is "something you have" (or ".. you are", for biometrics): it is supposed to prove that you currently physically posses the single copy of a token. The textbook example is a TOTP stored in a Yubikey.

Granted, this has been watered down a lot by the way-too-common practice of storing TOTP secrets in password managers, but that's how it is supposed to work.

Does your mTOTP prove you own the single copy? No, you could trivially tell someone else the secret key. Does it prove that you currently own it? No, you can pre-calculate a verification token for future use.

I still think it is a very neat idea on paper, but I'm not quite seeing the added value. The obvious next step is to do all the math in client-side code and just have the user enter the secret - doing this kind of mental math every time you log in is something only the most hardcore nerds get excited about.

  • TOTP is also just password + some computation. So where is the difference? There is a lot of security theatre around TOTP with the QR code and then need of an app but you can write a 8 liner in python that does the same when you extract the password out of the QR code.

       import base64
       import hmac
       import struct
       import time
    
       def totp(key, time_step=30, digits=6, digest='sha1'):
            key = base64.b32decode(key.upper() + '=' \* ((8 - len(key)) % 8))
            counter = struct.pack('>Q', int(time.time() / time_step))
            mac = hmac.new(key, counter, digest).digest()
            offset = mac[-1] & 0x0f
            binary = struct.unpack('>L', mac[offset:offset+4])[0] & 0x7fffffff
            return str(binary)[-digits:].zfill(digits)
    
    

    https://dev.to/yusadolat/understanding-totp-what-really-happ...

    • Yes, TOTP is a secret + computation, and generating it is trivial once you have the secret. The security difference is that the TOTP secret is separate from the user’s password and the output is short-lived. Each of the two factors address different threat models.

    • You are supposed to store the password in a Secure Enclave, which you can only query for the current token value. You are also supposed to immediately destroy the QR code after importing it.

      As I already mentioned, the fact that people often use it wrong undermines its security, but that doesn't change the intended outcome.

      20 replies →

  • In practice most TOTP implementation also do not prove that you have a device which is the sole owner of the secret. Except for proprietary app-based solutions the usual protocol is to display a QR code which just encodes the secret in plain text.

    As long as you never enter the secret anywhere but only do the computation is your head, this is just using your brain as the second factor. I would not call this a password since it is not used in the same way. Passwords are entered in plain text into fields that you trust, but that also means that passwords can be stolen. This proves that you are in possession of your brain.

    • > Passwords are entered in plain text into fields that you trust, but that also means that passwords can be stolen

      The only difference here is that you are hashing the password in your head, instead of trusting the client to hash it for you before submitting it to the server.

      Which makes the threat model here what, exactly? Keyloggers, or login pages that use outdated/insecure methods to authenticate with the server?

      2 replies →

  • > 2FA is "something you have" (or ".. you are", for biometrics): it is supposed to prove that you currently physically posses the single copy of a token. The textbook example is a TOTP stored in a Yubikey.

    No, 2FA means authentication using 2 factors of the following 3 factors:

    - What you know (eg password)

    - What you have (eg physical token)

    - What you are (eg biometrics)

    You can "be the 2FA" without a token by combining a password (what you know) and biometrics (what you are). Eg, fingerprint reader + password, where you need both to login.

    • Of course, but in most applications the use of a password is a given, so in day-to-day use "2FA" had come to mean "the other auth method, besides your password".

      Combine that with the practical problems with biometrics when trying to auth to a remote system, and in practice that second factor is more often than not "something you have". And biometrics is usually more of a three-factor system, with the device you enrolled your fingerprints on being an essential part of the equation.

  • > this has been watered down a lot by the way-too-common practice of storing TOTP secrets in password managers

    I'm open to discovering I'm wrong here, but I have never understood this line of thinking. Assuming you 2fa into your password manager when you first sign in on your device, it's still 2 factors all the way down.

    As you sign into your password manager, the "something you have" is your 2fa device that you use to sign into your password manager (which is obviously not being filled in by your password manager). Subsequent password manager unlocks which don't prompt for your token are still 2fa because the "something you have" is your computer with which you signed into your password manager.

    Why is this a problem?

    • What if your computer, which runs your password manager, is compromised? If the malware has system access, it can often export all the passwords. Depending on level of protection and OS, this could require kernel access, root access, a regular user access or maybe just a hijacked browser extension.

      This leaks every single password in the vault, including any TOTP keys - so if you were storing your TOTP password here, you are now screwed, and attacker has a full access. On the other hand, if your TOTP was a separate device, your TOTP-protected accounts are fine. And even if it's just an app on your phone, you are likely still fine, as phones have much stronger isolation, and people don't usually "npm install" random stuff on them.

      (And that's Google Authenticator adding cloud backup functionality is such a bad idea.. If you enable it, then all your 2FAs are leaked once Google password is leaked)

      (You could argue that your password manager stores TOTP secrets in secure enclave and it's impossible to extract from there... but those same secrets have to be stored in your account as well, and they could be extracted from there)

      1 reply →

  • Time based skew makes it a changeable second factor, additional changeable pass makes it the second factor, Also - if the first factor is a password manager or ssh key - this is the second factor.

    The idea of it was so neat to me, I just had to thinker with it.

  • I tend to agree that this doesn't really add a second factor. After all, both the mTOTP secret and the password are something you know, and something you could tell someone else.

    However, I do think there is added value here, at least in principle: It increases the difficulty of credential stuffing attacks, which, IMHO is the main value of having a TOTP secret stored in one or more password managers.

    "Regular" TOTP stored in a password manager also helps with password reuse when a site is compromised because each site has a different TOTP secret. It seems implausible that a user could remember a different mTOTP secret for each site.

  • The single copy part would be a lot more common if it was widely supported to have multiple tokens registered to an account.

    And the main point (though I agree that it doesn't make it 2FA), is to not have the secret be disclosed when you prove that you have it, which is what TOTP also achieves, which makes phishing or sniffing it significantly less valuable.

    • Are there any mainstream websites which only allow a single TOTP token to be enrolled? I can't remember having ever run into that issue. I do recall it occasionally being an issue with Passkeys, though.

      The non-disclosure is indeed neat, but the same can be achieved with a password. For example: generate public/private keypair on account creation. Encrypt private key with user password. Store both on server. On auth, client downloads encrypted priv key, decrypts it with user-entered password, then signs nonce and provides it to server as proof of knowledge of user password.

      4 replies →

    • I guess it's a spectrum. At one extreme is the most physically resistant hardware token in existence. On the other end is a password transmitted in plaintext.

      An ssh keyfile requires an attacker to break into the device but is likely fairly easy to snag with only user level access.

      Bypassing a password manager that handles TOTP calculations or your ssh key or similar likely requires gaining root and even then could be fairly tricky depending on the precise configuration and implementation. That should generally be sufficient to necessitate knowledge of the master password plus device theft by an insufficiently sophisticated attacker.

      Given TOTP or an ssh key managed exclusively by a hardware token it will be all but impossible for anyone to avoid device theft. Still, even TPMs have occasionally had zero day vulnerabilities exposed.

  • I don't think OP claimed it adds value.

    > It explores the limits of time-based authentication under strict human constraints and makes no claims of cryptographic equivalence to standard TOTP.

    I think they're just having fun.

  • misunderstanding of 2FA annoys me.

    Like, banking site requiring phone's 2FA (whether actual or SMS), okay, you have to know password and access to the device or at least a SIM card so 2 things need to be compromised. Computer vulnerable, no problem, phone vulerable, no problem, both need to be vulnerable to defeat it

    ...then someone decided to put banking on the second factor and now phone has both password and token (or access to SMS) to make a transaction, so whole system is one exploit away from defeat.

If you can be tied to a chair and beaten with a rubber hose until you produce the token, it's just a password, albeit one that rotates.

TOTP works because you have to possess the secure device at the time you're authenticating. If you don't have the device, then no amount of time with the rubber hose can make you cough up the required token.

An interesting idea but in theory just three correct pass codes and some brute force will reveal the secret key so you'd have to be very careful about only inputting the pass code to sites that you trust well.

It's definitely computable on a piece of paper and reasonably secure against replay attacks.

  • I was wondering about the overall security. How did you determine that 3 pass codes and brute force will reveal the secret key?

    • Thinking about it, there are only 10 billion different keys and somewhat fewer sboxes.

      So given a single pass code and the login time, you can just compute all possible pass codes. Since more than one key could produce the same pass code, you would need 2 or 3 to narrow it down.

      In fact, you don't even need to know the login time really, even just knowing roughly when would only increase the space to search by a bit.

      3 replies →

  • Yep, I am aware, 2 or 3 OTP's and timestamps plus some brute forcing using the source-code. Server-side brute force by input should or could be implausible. But that is why I am signaling here that I would love a genius or a playful expert/enthusiast contributing a bit or two to it - or becoming a co-author.

    • I'm not an expert, but roughly know the numbers. Usually with password-based key derivation, one would increase resource needs (processor time, memory demand) to counter brute forcing. Not an option for a human brain, I guess.

      So the key would have to be longer. And random or a lot longer. Over 80 random bits is generally a good idea. That's roughly 24 decimal digits (random!). I guess about 16 alphanumerical characters would do to, again random. Or a very long passphrase.

      So either remember long, random strings or doing a lot more math. I think it's doable but really not convenient.

      1 reply →

I see 2FA is often misunderstood by people. The basic premise with 2FA is that you combine “something you know” with “something you have”.

You are already part of the 2FA — you’re the first factor: “something you know”.

The second factor: “something you have” — often a personal device, or an object. This is ideally something no one else can be in possession of at the same time as you are.

  • Except that for 99% of my passwords, I am 100% sure I do not, and never will, know them, they are 60-100+ bytes of random data, only known by my passwordmanager. The only thing I know, is the passphrase for my passwordmanager. TOTP codes are also stored in there, but I see it more as a replay-protection for captured passwords, though this is also really a non-issue in this time of almost no plaintext protocols.

This is an early experiment in human-computable TOTP. Not production crypto, but a serious attempt to reach reasonable security for plausible 2FA. Protocol revisions, criticism, and contributions are welcome.

  • I don't really get what tone you're doing for. Is this "a serious attempt", or is this "something that does not guarantee any cryptographic security"?

    Nonetheless I do not see what issues 2FA has that this solves. Having the electronic device is the security. Without it there is no security.

    • The security advantage I see in mtotp is that you never reveal the password to the system you are authenticating with, but that there is also no electronic device that can be compromised

  • The algorithm for the checksum (the sixth digit) is subject to one of the most common human errors, swapping adjacent digits. The UPC checksum algorithm handles this without significantly more complexity. They have you multiply all of the numbers in odd positions by 3 and then add up all numbers. The last digit is chosen to make the sum a multiple of 10.

    To use your example: 51076, you'd do `5*3 + 1 + 0*3 + 7 + 6*3 = 15 + 1 + 0 + 7 + 18 = 41`. The sixth digit would be 9 ((10 - (41 mod 10)) mod 10). If you were to transpose any two adjacent numbers the checksum would be off. 3 is chosen because it's the smallest number that is co-prime with 10.

Yes! I've been thinking about a similar idea in October, using a "keyed hash" of the challenge computed with playing cards. I have no idea how secure this is, but the concept itself is exciting: the mental labor might function as a useful anti-coercion/fishing tool.

The idea is interesting, but I don't think this qualifies as a second factor, as it can be reduced to a factor you have to remember, so equivalent to a password. The second factor should be derived either from something you own, or something that can be obtained from biometry.

  • In that case nothing based on RFC 6838 would qualify as a second factor because nothing prevents you from just remembering the TOTP secret and compute the one-time code using a piece of JS. Or even putting it in your password manager.

    I think it is too simple to reduce the definition of second factor to how it is stored. It is rather a question of what you need to log in. For TOTP the client has the freedom to choose any of (not exhaustive):

    1. Remember password, put TOTP in an app on smartphone => Client has to remember password and be in possession of smartphone.

    2. Put password and TOTP in password manager => Client has to remember the master password to the password manager and be in possession of the device on which it runs. Technically, you have to be in possession of just the encrypted bits making up the password database, but it is still a second factor separate from the master password.

    • For proper 2nd factors the secret is a hardware key that practically can not be extracted so it is impossible for someone to know it. They must obtain the piece of hardware to use the key.

      7 replies →

    • > I think it is too simple to reduce the definition of second factor to how it is stored.

      I think the defining characteristic is how it is used. I can use a password like a second factor, and I can use a TOTP code like a password. The service calls it a password or a second factor because that was the intention of the designer. But I can thwart those intentions if I so choose.

      Recall the macabre observation that for some third factor implementations the "something you are" can quickly be turned into "something your attacker has".

So, in my head, once I heard the idea, I started thinking of something WAY different, and maybe its worth considering. I was thinking something like a combination "security question," "captcha" and "secondary identifier" (whatever the thing that google et al do when they tell you to match the picture on your phone to complete the login)

I don't know, something like "name the fruits that correspond to your first school colors" or similar

  • Maybe some type of long physical probe you have to sit on and it generates a hash from the exact shape of your "cavity".

    Seriously, am I the only one who was happier without any of this "2FA" crap? VPS/Domain/Google with a hardware token is the one narrow scope where I see any value, and even those I could do without. Every other site is just a non-consensual nagging that hassles me when logging in. Bank accounts are the worst, as every bit of friction for checking my balance/transactions actually decreases my security!

    • As op, yeah I'm actually with you on this.

      And at the very least, 2FA should be a much more "openly open standard." Which is to say, just do TOTP everywhere, let people have their initial generating key and be done with it.

      I generate mine from my computer when I can, but I'm surrounded by all this magic that implies that something different is going on, e.g. the Duo system which I'm forced to use by my job and doesn't make this sort of thing easy, if possible at all.

or we could use asymmetric biometric fingerprints. Turns out features can be extracted into public and private sets, and both are required for a match. I hold a patent on it btw

  • I remain very skeptical of fingerprints.

    They are both too mutable (cuts and burns will alter them) and not mutable enough (you can't re-roll your fingerprints after a leak).

    On top of that, you are also literally leaving them on everything you touch, making it trivial for anyone in your physical presence to steal them.

    They are probably pretty decent for police use, but I don't believe they are a good replacement for current tech when it comes to remote auth.

    • Biometrics are "something you are" but they are not a good substitute for either "something you have" or "something you know".

      My concern with them nearly always comes down to privacy. They are far too easy to abuse for collecting and selling user data. There are probably ways around that but how much will you ever be able to trust an opaque black box that pinky promises to irreversibly and uniquely hash your biometric data? It's an issue of trust and transparency.

What is the purpose of the 6th digit?

It doesnt add any security, as it is trivially computable from the other digits already computed.

It appears to be a checksum, but I can't see why one would be needed.

  • I originally included it as a structural integrity digit, with the option for early rejection on the server side. That early exit check is not implemented in the current PAM module yet.

    This is an early POC, and sanity checks like this are exactly the kind of feedback I’m looking for.

    • Probably not needed.

      The computation of the code is not computationally expensive (human computation is a requirement) so no real impact on server having to perform the full computation.

      I guess if implemented client side it might provide a sanity check for the user before submitting, but it's more work for the human and they are almost as likely to get the checksum calculation wrong as any other part of it.

      So I would probably remove it.

  • That is what I thought too, when I read it. (I was going to mention it if I did not find someone else already did.)

  • It probably isn't for security, it is more likely a quick check that the code that you memorized makes sense.

I've been pondering about something like this for a while, nice to see someone who didn't give up after seeing how demanding actual crypto is, like I did.

I now wonder if it's possible to store a random value in one's head without it being eavesdroppable. Humans don't really do random, but it's essential for auth.

Only if I'm not useful for 2FA when dead (taking away some incentive from killing me to get to the 2FA) and the functionality isn't tied to some part of my body that can be severed by bad actors (taking away the incentive to mutilate me to get to the 2FA).

Interesting idea but I don't think my users will grok this :)

The worst thing about it is that people will go like "uuuh naaaah" and will just grab a random app off the play store and put their code in it. Now you are leaking secrets to whatever random app they use.

Why base this on time? Using a simple HOTP which uses a rolling index for the "time value" seems like a much better choice for humans

Isn't this just manually hashing a password with a timed-salt? I don't see how this relates to TOTP

  • TOTP is also just hashing a password with a time salt. The purpose is just to prove that you are in possession of the device that stores the password without actually ever entering the password anywhere where it can be leaked. In this case the device is just your brain.

    • > In this case the device is just your brain

      And that makes it a password (i.e. the primary factor, not a second factor). The whole point of a second factor is that it's not trivially cloneable (hence why, for example, SMS is a poor form of 2FA in the presence of widespread SIM cloning attacks).

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No. I'm comfortable remembering passwords.

  • You’ve never had a concussion, gone under anesthesia, or gotten older? Memory based passwords are not durable; I personally forgot my Google account password after a surgery.