A fund is a fund with a specific purpose and use, and projects funded by the fund are regarded as fund projects. The subject is a scientific research project, which needs funds, but the source of funds is not just funds. In other words, not all projects are funded projects. So the project number is not necessarily the fund number.
In the sense of fund, it refers to a certain amount of fund established for a certain purpose. The subject is a scientific research project, and the research of the subject depends on the support of funds. Without funds, the research cannot be carried out. Therefore, the project fund refers to the project research funds.