From World of Gene Krupa: That Legendary Drummin' Man by Bruce H. Klauber, p. 208:
Krupa billed for contractual reasons as "Chicago Flash" on original 78 issues, no drummer credited on Stinson LP notes.
That's true, I've never noticed it before. There is no drummer mentioned in Norman Granz' liner notes on the inner gatefold album cover (still to be added here, same as on the Stinson reissue), and there is only a "Chicago Flash" on drums listed on the record labels - and even this alias had to disappear as later issues of the album show (see Stinson 453) - even the third record of this album here (453-3) has the drummer deleted.
As quoted, this first volume of Jazz At The Philharmonic albums did not supply the recordings from the first JATP concert on July 2, 1944 in the Philharmonic Auditorium, Los Angeles, CA. These recordings were released only in 1946/47 on Volumes 4 and 5.
Norman Granz, the initiator of the concerts and the recordings, had unintentionally sold the rights and the masters of this first album to the Asch Records label, which by then was a joint venture of Moe Asch and the Stinson Trading Co., and Stinson would re-release them in different formats for many decades (first here).
As "How High the Moon", the first tune on the first JATP volume, had become the theme song of JATP and this original recording was not available for Granz, he substituted it for his series with an excellent new version featuring Coleman Hawkins, recorded on March 5, 1947 at the Syria Mosque Auditorium in Pittsburgh, PA (Mercury JATP, later Clef/Verve MG Vol. 1).
From the CD booklet of the 10 CD JATP 1944-1949 box set (cited here):
Joe Guy, Howard McGhee (t), Willie Smith (as), Illinois Jacquet, Charlie Ventura (ts), Garland Finney (p), Ulysses Livingston (g), Red Callender (b), Gene Krupa (d)
February 12, 1945, Philharmonic Auditorium, Los Angeles.
Oh, Lady Be Good (11:57)
How High the Moon? (13:57)
Announcement by Al Jarvis (0:24)
78s:
Asch 453-1, Stinson 453-1 (parts 1 & 2 of How High the Moon)
Asch 453-2, Stinson 453-2 (part 3 of How High the Moon, part 1 of Lady Be Good)
Asch 453-3, Stinson 453-3 (parts 2 & 3 of Lady Be Good)
10" and 12" 33 RPM:
Stinson LP 23
From John McDonough's An Introduction to JATP (cited here):
"The original 1944 concert recordings [...] would not reach the market for three years. But Granz continued recording at the Philharmonic. [...]
By 1945 the concerts had become nearly monthly events. One of them, on February 12, 1945, yielded strong recordings of "How High the Moon?" and "Oh, Lady, Be Good!" with Gene Krupa. These were the two that Asch decided to release as Jazz at the Philharmonice Volume 1. "[It] represents a trend that jazz is likely to take in the years ahead," Granz decreed in a prophetic liner note, "when instead of small, dimly lit nightclubs containing seventeen glazed-of-eye jazz fans, the concert stage will attract thousands.
The record was so successful, it made "How High the Moon?" a kind of JATP theme. "Unfortunately," Granz recalled, "Moe had made some strange distribution deal with Stinson Records, whereby they got the master and I lost it. I learned my lesson the hard way on Volume 1." [...]
By June 1947, incidentally, the Pittsburgh performance had the distinction of becoming the inaugural album on Granz' own JATP series on Mercury/Clef Records (two 78 rpm discs at $3.40, thank you). It was an appropriate kickoff, replacing the "How High the Moon?" he had lost to Stinson."