Detective Works
Saw this tweet and immediately wondered if I could use the newspaper Paul Newman is reading to identify the date the photograph was taken†. Turns out, yeah, I could.
I looked at the headline on the upper left of Newman's paper, and I was able to make out most of the words: "JOHNSON... RESERVE CALL-UP TO ASSIST SAIGON"‡. And there it was, the top result: July 14, 1965.
To put a bow on the find: inside that link was a photo/reproduction of the exact front page Newman is holding in the original image, with that article highlighted.
A further bit of fun:
The guy getting Newman's hair correct is Jay Sebring.
I figured I could use that information (Newman and Sebring working together) to confirm that the photograph was indeed taken during the filming of Harper (1966; penned by none other than William Goldman). Turns out, no, I couldn't. And the reason I couldn't is Sebring wasn't credited as working on that movie. Or, for that matter, on any Paul Newman joint, on Bastille Day, 1965, or any other.
The moral of the story: Sometimes searching pays off. Sometimes it results in an interesting whiff.
† The likely date, that is – there remains the bizarre off-chance that dude was reading an earlier day's paper.
‡ The ellipsis elides "weighing" which was too tricky to make out and was, fortunately, unneeded.