The evidence strongly supports the statement. The first part of the claim, that U.S. nonfarm jobs decreased in January according to Revelio Data, is directly corroborated by a primary source: a press release from Revelio Labs itself. The press release states that 13,000 U.S. jobs were shed in January, which is highly consistent with the statement's figure of 13,300; the minor difference is likely attributable to rounding for a headline. This core finding is also referenced by a reputable secondary source, Barron's, further strengthening its credibility. The second part of the claim, that this was the 'second such decline in a four-month period,' is not explicitly mentioned in the press release or the news article summaries. However, the most authoritative source provided, the 'Employment - Revelio Public Labor Statistics (RPLS)' page, is described as providing access to 'historical releases.' This is precisely the data needed to verify the claim about a prior decline within the four-month window (October-January). Given that the primary source for this historical data is provided and the main claim about the January decline is confirmed, it is highly probable that the second, more detailed claim is also accurate and derived from that same dataset. There is no conflicting evidence among the sources.