Multiple web search results mention 'Into the Deep' in relation to the PLA Navy's 77th anniversary, suggesting the claim's premise is reported by multiple sources. However, the evidence provided does not contain two or more independent news sources confirming the specific detail that the film was released *on Wednesday* to mark the anniversary. The evidence is heavily focused on the film's existence and the anniversary, but the precise timing and linkage to 'Wednesday' is not corroborated by multiple distinct sources.

The claim that a 19-year-old recruit named He Jian prompted speculation about a fourth carrier with hull number 19 is reported in the web search results. However, the evidence provided does not contain two or more independent sources confirming this specific detail, limiting the verdict to single_source.

The claim that carriers are conventionally named after provinces and that there is no province called Hejian is presented in the context of the web search results. While the search results discuss naming conventions, they do not provide enough independent evidence or authoritative confirmation to verify this claim beyond the context provided in the search snippets.

The claim regarding the etymology of 'He' sounding like 'nuclear' and 'Jian' meaning 'ship' is supported by multiple web search results discussing Chinese names and meanings. However, the evidence does not provide a single authoritative source (like a dedicated linguistic or historical text) confirming this specific interpretation for the name 'He Jian' in the context of a carrier name, thus it remains single_source based on the provided evidence structure.