In contrast, let's examine the Wrights' claim:

1. years of notebooks where they logged their ideas, progress, data, designs, etc. The notebooks clearly betray their understanding of what they're doing

2. a clear photograph of their first flight (a contender for the greatest photograph in history)

3. witnesses

4. a stream of prototypes leading up to the first flight

5. a stream of improved machines after the first flight

6. many demonstration flights

7. the original machine was preserved and sits in the Smithsonian for anyone to examine

8. exacting replicas have been built, which fly and exhibit flight characteristics that match what the Wrights described

The other claimants have literally zero of any of these.