[aw1621107]

Yes, that's the section I read. None of it supports a claim that bot numbers were fabricated.

The first and biggest problem is that the paragraph is talking about the total number of spam bots on Twitter, while the number that Twitter represented to Musk was the percentage of false/spam accounts as a percentage of mDAU. These are two different metrics and cannot be directly compared. Even if the paragraph directly accused Twitter of falsifying and/or fabricating the total number of spam bots on Twitter, it would have no relevance towards the merger since Twitter made no representations of the total number of spam bots on Twitter to Musk.

The second problem is that nothing in that paragraph implies fabrication - it's basically complaining that Twitter isn't paying attention to a metric Mudge thinks should be measured. "We don't know the answer and aren't interested in finding out" is not the same thing as "We don't know the answer and made something up instead".

The third problem is that Musk's own analysis failed to hint at fabrication as well - even if Mudge directly accused Twitter of fabrication, his claim was contradicted by other evidence.

[rybosworld]

> None of it supports a claim that bot numbers were fabricated

'In fact, Mudge learned deliberate ignorance was the norm amongst the executive leadership team. In early 2021, as a new executive, Mudge asked the Head of Site Integrity (responsible for addressing platform manipulation including spam and botnets), what the underlying spam bot numbers were. Their response was “we don't really know."'

If they don't know what the spam numbers are, then where is the 5% figure coming from?

I already quoted this part but this is also relevant: "The company could not even provide an accurate upper bound on the total number of spam bots on the platform."

They aren't able to provide an upper bound on the total number of spam accounts.

None of this is to due with the spam accounts that are known, and not counted as part of mDau. Those spam accounts are KNOWN, and not included in counts.

These documents are stating that twitter has no information on the actual total number of spam accounts.

[aw1621107]

> If they don't know what the spam numbers are, then where is the 5% figure coming from?

Again, that is 5% of mDAU, not 5% of accounts. Mudge is complaining about the latter, Twitter only represented the former.

In any case, Twitter's methodology to get the 5% figure, based on what was stated in court, appears to be:

1. Every day, have someone(s) randomly sample 100 users from the mDAU pool and use various pieces of data to try to determine which of those sampled accounts are spam/false accounts

2. At the end of the quarter, use the 90 samples to estimate the proportion of spam/false accounts among all mDAU users

This allows one to get a relatively tight estimate of the proportion of spam/false accounts among mDAU users without knowing the precise number of spam accounts among mDAU or the upper bound on the total number of spam accounts among all users on the platform. The former isn't known because of the statistical nature of the method, and the latter isn't known because the pool the samples are drawn from isn't the one needed to determine the total number of bots.

> None of this is to due with the spam accounts that are known, and not counted as part of mDau. Those spam accounts are KNOWN, and not included in counts.

Non-mDAU users consist of more than just spam accounts, though - for example, inactive users and users using non-monetizable clients are excluded. If the precise makeup of the pool of non-mDAU users is not known, then that would easily explain not knowing the upper bound on spam accounts.

Strictly speaking, one can trivially provide an upper bound on the number of spam accounts - just give the total number of accounts - but that's hardly a useful answer. Presumably Mudge wanted something with more precision, and if that information is not tracked than Twitter obviously wouldn't be able to give a useful answer, no deception needed.

> These documents are stating that twitter has no information on the actual total number of spam accounts.

But it doesn't state that Twitter fabricated the total number of spam accounts, does it?

And once again, the total number of spam bots is irrelevant to Musk's purchase. Twitter made no representations regarding such a statistic in its SEC filings or in the merger agreement, so there can be no fraud or falsification regarding that statistic. The only statistic Twitter provided regarding bots was the 5% number, and that was bots as a percentage of mDAU, which is different from the statistic Mudge was complaining about.

[jcranmer]

> If they don't know what the spam numbers are, then where is the 5% figure coming from?

It's 5% of mDAU.