To address your questions regarding the pathway enrichment analysis from the provided article, let's examine the relevant sections and extract available information:

1. **Tool Used for Pathway Enrichment Analysis:**
   - The tool used is not explicitly described in the excerpt you've shared.

2. **Tool Version Number Provided:**
   - No version number of the tool is mentioned in your provided text.

3. **Gene Set Library Queried (e.g., GO, KEGG, Reactome, or other):**
   - The gene set library queried includes "KEGG," as indicated by the mention of a gene-pathway network constructed using the KEGG database in Figure 1B.

4. **Background Gene List Defined for Pathway Enrichment Analysis:**
   - There is no specific information provided about whether a background gene list was defined for pathway enrichment analysis.

5. **Statistical Test Used for Enrichment Analysis:**
   - The statistical test used is not described in the provided text.

6. **False Discovery Rate Correction Used:**
   - The use of false discovery rate (FDR) correction to control the number of false positives is not mentioned in the excerpt.

If you have access to other parts of the article, it might provide additional details on these points. However, based on what you've shared:

| Question                                                                 | Answer                  |
|--------------------------------------------------------------------------|-------------------------|
| Tool Used for Pathway Enrichment Analysis                                | Not described           |
| Tool Version Number Provided                                             | Not described           |
| Gene Set Library Queried (e.g., GO, KEGG, Reactome, or other)             | KEGG                    |
| Background Gene List Defined for Pathway Enrichment Analysis             | Not described           |
| Statistical Test Used for Enrichment Analysis                             | Not described           |
| False Discovery Rate Correction Used                                     | Not described           |

If you have access to the full article, it may provide additional insights.