Reporting this from emacs 28, but I first noticed in a freshly compiled
version of emacs.

This does NOT occur in org 9.5.5 that is included with emacs 28.
I do not have any special configuration for org babel.


Open emacs.
Open some .org file with src blocks in some folder <path to file>/some.org
Notice a new folder called babel-stable-nnn (some randome 3 digit
number) appears in the folder containing the .org file.

I think these should be created in my /tmp/ folder, not the folder
containing the .org file.

Sometimes they ARE created in my /tmp/ folder.

These bable-stabe-nnn folders are usually deleted but they sometimes
persist even after closing emacs.

The following generated by M-x org-submit-bug-report:
My full org configuration follows that.


Emacs  : GNU Emacs 28.2 (build 1, x86_64-pc-linux-gnu, GTK+ Version 3.24.36, cairo version 1.17.6)
 of 2023-01-03
Package: Org mode version 9.6.1 ( @ /home/bhrgunatha/.emacs.d/elpa/org-9.6.1/)

current state:
==============
(setq
 org-link-elisp-confirm-function 'yes-or-no-p
 org-hide-emphasis-markers t
 org-bibtex-headline-format-function #[257 "\300\236A\207" [:title] 3 "\n\n(fn ENTRY)"]
 org-export-before-parsing-hook '(org-attach-expand-links)
 org-cycle-tab-first-hook '(org-babel-hide-result-toggle-maybe
                            org-babel-header-arg-expand)
 org-archive-hook '(org-attach-archive-delete-maybe)
 org-cycle-hook '(org-cycle-hide-archived-subtrees
                  org-cycle-show-empty-lines
                  org-cycle-optimize-window-after-visibility-change
                  org-cycle-display-inline-images)
 org-mode-hook '(#[0 "\300\301\302\303\304$\207"
                   [add-hook change-major-mode-hook org-fold-show-all append
                    local]
                   5]
                 #[0 "\300\301\302\303\304$\207"
                   [add-hook change-major-mode-hook
                    org-babel-show-result-all append local]
                   5]
                 org-babel-result-hide-spec org-babel-hide-all-hashes
                 org-superstar-mode org-indent-mode variable-pitch-mode)
 org-ellipsis " ↷"
 org-confirm-shell-link-function 'yes-or-no-p
 outline-isearch-open-invisible-function 'outline-isearch-open-invisible
 org-use-speed-commands '(lambda nil
                          (and (looking-at org-outline-regexp)
                           (looking-back "^**"))
                          )
 org-agenda-before-write-hook '(org-agenda-add-entry-text)
 org-src-mode-hook '(org-src-babel-configure-edit-buffer
                     org-src-mode-configure-edit-buffer)
 org-confirm-elisp-link-function 'yes-or-no-p
 org-hide-leading-stars t
 org-pretty-entities t
 org-speed-command-hook '(org-speed-command-activate
                          org-babel-speed-command-activate)
 org-fold-core-isearch-open-function 'org-fold-core--isearch-reveal
 org-tab-first-hook '(org-babel-hide-result-toggle-maybe
                      org-babel-header-arg-expand)
 org-link-shell-confirm-function 'yes-or-no-p
 org-babel-pre-tangle-hook '(save-buffer)
 org-agenda-loop-over-headlines-in-active-region nil
 org-occur-hook '(org-first-headline-recenter)
 org-metadown-hook '(org-babel-pop-to-session-maybe)
 org-link-parameters '(("attachment" :follow org-attach-follow :complete
                        org-attach-complete-link)
                       ("id" :follow org-id-open)
                       ("eww" :follow org-eww-open :store org-eww-store-link)
                       ("rmail" :follow org-rmail-open :store
                        org-rmail-store-link)
                       ("mhe" :follow org-mhe-open :store org-mhe-store-link)
                       ("irc" :follow org-irc-visit :store
                        org-irc-store-link :export org-irc-export)
                       ("info" :follow org-info-open :export org-info-export
                        :store org-info-store-link :insert-description
                        org-info-description-as-command)
                       ("gnus" :follow org-gnus-open :store
                        org-gnus-store-link)
                       ("docview" :follow org-docview-open :export
                        org-docview-export :store org-docview-store-link)
                       ("bibtex" :follow org-bibtex-open :store
                        org-bibtex-store-link)
                       ("bbdb" :follow org-bbdb-open :export org-bbdb-export
                        :complete org-bbdb-complete-link :store
                        org-bbdb-store-link)
                       ("w3m" :store org-w3m-store-link)
                       ("doi" :follow org-link-doi-open :export
                        org-link-doi-export)
                       ("file+sys") ("file+emacs")
                       ("shell" :follow org-link--open-shell)
                       ("news" :follow
                        #[514 "\301\300\302Q\"\207"
                          ["news" browse-url ":"] 6 "\n\n(fn URL ARG)"]
                        )
                       ("mailto" :follow
                        #[514 "\301\300\302Q\"\207"
                          ["mailto" browse-url ":"] 6 "\n\n(fn URL ARG)"]
                        )
                       ("https" :follow
                        #[514 "\301\300\302Q\"\207"
                          ["https" browse-url ":"] 6 "\n\n(fn URL ARG)"]
                        )
                       ("http" :follow
                        #[514 "\301\300\302Q\"\207"
                          ["http" browse-url ":"] 6 "\n\n(fn URL ARG)"]
                        )
                       ("ftp" :follow
                        #[514 "\301\300\302Q\"\207"
                          ["ftp" browse-url ":"] 6 "\n\n(fn URL ARG)"]
                        )
                       ("help" :follow org-link--open-help :store
                        org-link--store-help)
                       ("file" :complete org-link-complete-file)
                       ("elisp" :follow org-link--open-elisp))
 org-metaup-hook '(org-babel-load-in-session-maybe)
 )


My full configuration of org

(defconst *ORG-PATH*
  (car (directory-files
        (expand-file-name "elpa/" user-emacs-directory)
        t
        ;; org-major[.minor[.revision]]
        (rx "org-" (+ digit)
            (? "." (+ digit)
               (? "." (+ digit)))))))

(use-package org
  :init
  :load-path *ORG-PATH*
  :config
  ;; leave my personal keymap alone please
  (message "org-mode :config START org-babel-temporary-stable-directory: %s"
           (if (boundp 'org-babel-temporary-stable-directory)
               org-babel-temporary-stable-directory
             "not bound"))
  (unbind-key "C-," org-mode-map)
  (setq org-use-speed-commands
        (lambda ()
          (and (looking-at org-outline-regexp)
               (looking-back "^\**"))))
  (setq org-ellipsis " ↷"
        org-hide-emphasis-markers t
        org-hide-leading-stars t
        org-pretty-entities t)
  (message "org-mode :config END   org-babel-temporary-stable-directory: %s"
           (if (boundp 'org-babel-temporary-stable-directory)
               org-babel-temporary-stable-directory
             "not bound"))
  :bind
  (:map org-mode-map ("C-, C-a" . org-cycle-agenda-files))
  (("C-c l" . org-store-link)
   ("C-c a" . org-agenda)
   ("C-c c" . org-capture)
   ("C-c b" . org-switchb)
   ;; org is using S-<left>/<right> already
   ("s-<left>" . previous-buffer)
   ("s-<right>" . next-buffer)))

(use-package org-indent-mode
  :ensure nil
  :load-path *ORG-PATH*
  :hook (org-mode-hook . org-indent-mode))

(use-package org-superstar
  :hook (org-mode-hook . org-superstar-mode)
  :config
  (setq org-superstar-headline-bullets-list '("✪" "✿" "●" "○" "■" "▣" "□" "✦")
        org-superstar-cycle-headline-bullets 8
        org-superstar-prettify-item-bullets t))