As Jim states above, this is best directed to Wolfram Sales, however, you can get a reasonable idea From the Wolfram portal describing the license:

Home Edition Accessing, installing, and using Home Edition is governed by the terms and conditions set forth in the Product License Agreement and the associated Product License Certificate. The Use Class for this Product is restricted to those using Home Edition solely for their personal use, not for commercial gain. As such, the following Prohibited Uses supplement those in the general Product License Agreement: a. the Software may not be used for work or research in which the work product benefits, or is "work for hire" on behalf of, any Commercial, Nonprofit, Academic, or Governmental organization; and b. the Software may not be used for any purpose associated with seeking commercial advantage or private monetary gain.

I hope this helps

Regards,

Neil

Wouldn't scientific publishing count as non-profit? What about open access publishing/preprints/blog posts? There is an increasing grey zone of what constitutes "scientific publishing".

I think this is something that you need to contact Wolfram, Inc. directly rather than through this forum. You probably should be prepared with your license number and an answer to the question about if this scientific publication requiring (or at least using) Mathematica is part of your job duties and/or if the publication leads to enriching your or your colleagues either directly or indirectly.

For example, SAS (a statistical package) has a "University Edition" free to download which on the associated community website has answers to such questions (again, about SAS). In essence, if money is involved (directly or indirectly), the answer is "No".