Military Embedded Systems

Anti-Tamper Benefits of Encrypted Helper-Data Images for PUFs

Whitepaper

November 29, 2021


Anti-Tamper Benefits of Encrypted Helper-Data Images for PUFsPUFs are mixed-signal circuits which rely on variations unique to a specific chip to self-generate a digital “fingerprint.” Most PUFs require a “helper-data” image that is generated during the initial digitization process, also known as Enrollment. Leveraging the chip-unique transformation function of PUFs and encrypted helper data, an unclonable challenge-response mechanism can be implemented that can distinguish authentic chips from perfect adversarial clones.

Download this white paper to learn:
The nature and capabilities of PUFs
Threats posed by cloned chips
Threat mitigation using PUF helper data

Download Whitepaper

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        • 24. /app/Models/Article.php:375
        • 25. view::theme::layouts.components.sidebar:8
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `article_types` where `article_types`.`id` in (2, 3, 4, 5)
        3.43ms/app/Models/Article.php:375mes
        Metadata
        Backtrace
        • 19. /app/Models/Article.php:375
        • 20. view::theme::layouts.components.sidebar:8
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select `id`, `name`, `shortname` from `categories` where `parent_id` is null and `id` not in (999, 100) and exists (select * from `articles` where `categories`.`id` = `articles`.`primary_category` and `publish_at` < '2025-04-01 17:50:33' and `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')))
        274ms/app/View/Composers/SubfooterComposer.php:38mes
        Metadata
        Bindings
        • 0. 999
        • 1. 100
        • 2. 2025-04-01 17:50:33
        • 3. 
        • 4. 0
        Backtrace
        • 14. /app/View/Composers/SubfooterComposer.php:38
        • 15. /app/View/Composers/SubfooterComposer.php:19
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `categories`.`parent_id` in (1, 2, 3, 4, 5, 6) order by `shortname` asc
        9.84ms/app/View/Composers/SubfooterComposer.php:38mes
        Metadata
        Backtrace
        • 19. /app/View/Composers/SubfooterComposer.php:38
        • 20. /app/View/Composers/SubfooterComposer.php:19
        • 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `articles` where `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')) and `primary_category` in (1, 1000, 1003, 7, 1001, 9, 1002, 8) limit 5
        24.88ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Bindings
        • 0. 
        • 1. 0
        • 2. 1
        • 3. 1000
        • 4. 1003
        • 5. 7
        • 6. 1001
        • 7. 9
        • 8. 1002
        • 9. 8
        Backtrace
        • 14. /app/View/Composers/SubfooterComposer.php:63
        • 15. /app/View/Composers/SubfooterComposer.php:19
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `categories`.`id` in (7, 8, 9, 1000)
        12.34ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 19. /app/View/Composers/SubfooterComposer.php:63
        • 20. /app/View/Composers/SubfooterComposer.php:19
        • 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `categories`.`id` in (1)
        12.84ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 24. /app/View/Composers/SubfooterComposer.php:63
        • 25. /app/View/Composers/SubfooterComposer.php:19
        • 26. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 27. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 30. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `article_types` where `article_types`.`id` in (2)
        3.75ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 19. /app/View/Composers/SubfooterComposer.php:63
        • 20. /app/View/Composers/SubfooterComposer.php:19
        • 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `articles` where `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')) and `primary_category` in (2, 14, 17, 18, 13, 1004, 15, 16, 19) limit 5
        21.6ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Bindings
        • 0. 
        • 1. 0
        • 2. 2
        • 3. 14
        • 4. 17
        • 5. 18
        • 6. 13
        • 7. 1004
        • 8. 15
        • 9. 16
        • 10. 19
        Backtrace
        • 14. /app/View/Composers/SubfooterComposer.php:63
        • 15. /app/View/Composers/SubfooterComposer.php:19
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `categories`.`id` in (15, 16, 18)
        8.37ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 19. /app/View/Composers/SubfooterComposer.php:63
        • 20. /app/View/Composers/SubfooterComposer.php:19
        • 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `categories`.`id` in (2)
        7.06ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 24. /app/View/Composers/SubfooterComposer.php:63
        • 25. /app/View/Composers/SubfooterComposer.php:19
        • 26. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 27. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 30. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `article_types` where `article_types`.`id` in (2)
        1.24ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 19. /app/View/Composers/SubfooterComposer.php:63
        • 20. /app/View/Composers/SubfooterComposer.php:19
        • 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `articles` where `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')) and `primary_category` in (3, 1005, 23, 26, 25, 21, 20, 24, 22) limit 5
        6.33ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Bindings
        • 0. 
        • 1. 0
        • 2. 3
        • 3. 1005
        • 4. 23
        • 5. 26
        • 6. 25
        • 7. 21
        • 8. 20
        • 9. 24
        • 10. 22
        Backtrace
        • 14. /app/View/Composers/SubfooterComposer.php:63
        • 15. /app/View/Composers/SubfooterComposer.php:19
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `categories`.`id` in (20, 23)
        3.39ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 19. /app/View/Composers/SubfooterComposer.php:63
        • 20. /app/View/Composers/SubfooterComposer.php:19
        • 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `categories`.`id` in (3)
        4.61ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 24. /app/View/Composers/SubfooterComposer.php:63
        • 25. /app/View/Composers/SubfooterComposer.php:19
        • 26. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 27. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 30. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `article_types` where `article_types`.`id` in (2)
        2.89ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 19. /app/View/Composers/SubfooterComposer.php:63
        • 20. /app/View/Composers/SubfooterComposer.php:19
        • 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `articles` where `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')) and `primary_category` in (4, 32, 31, 30, 29, 27) limit 5
        98.17ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Bindings
        • 0. 
        • 1. 0
        • 2. 4
        • 3. 32
        • 4. 31
        • 5. 30
        • 6. 29
        • 7. 27
        Backtrace
        • 14. /app/View/Composers/SubfooterComposer.php:63
        • 15. /app/View/Composers/SubfooterComposer.php:19
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `categories`.`id` in (30, 32)
        3.22ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 19. /app/View/Composers/SubfooterComposer.php:63
        • 20. /app/View/Composers/SubfooterComposer.php:19
        • 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `categories`.`id` in (4)
        1.73ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 24. /app/View/Composers/SubfooterComposer.php:63
        • 25. /app/View/Composers/SubfooterComposer.php:19
        • 26. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 27. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 30. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `article_types` where `article_types`.`id` in (2, 3)
        4.13ms/app/View/Composers/SubfooterComposer.php:63mes
        Metadata
        Backtrace
        • 19. /app/View/Composers/SubfooterComposer.php:63
        • 20. /app/View/Composers/SubfooterComposer.php:19
        • 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `categories` where `parent_id` is null and `id` not in (999, 100, 1061)
        4.45msview::theme::layouts.components.category_subfooter:6mes
        Metadata
        Bindings
        • 0. 999
        • 1. 100
        • 2. 1061
        Backtrace
        • 14. view::theme::layouts.components.category_subfooter:6
        • 16. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 17. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 19. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `categories` where `categories`.`id` = 1 limit 1
        2.89ms/app/Models/Category.php:142mes
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 19. /app/Models/Category.php:142
        • 20. view::theme::layouts.components.category_subfooter:18
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `categories` where `categories`.`parent_id` = 1 and `categories`.`parent_id` is not null order by `shortname` asc
        2.51ms/app/Models/Category.php:148mes
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 20. /app/Models/Category.php:148
        • 21. view::theme::layouts.components.category_subfooter:18
        • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 25. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select `articles`.* from `articles` where `publish_at` < '2025-04-01 17:50:33' and `primary_image` is not null and `primary_image` != '0' and `primary_image` != '' and `article_type_id` <> '8' and (`primary_category` = 1 or `primary_category` = 1000 or `primary_category` = 1003 or `primary_category` = 7 or `primary_category` = 1001 or `primary_category` = 9 or `primary_category` = 1002 or `primary_category` = 8) and `article_type_id` <> '8' order by `publish_at` desc limit 5
        389msview::theme::layouts.components.category_subfooter:19mes
        Metadata
        Bindings
        • 0. 2025-04-01 17:50:33
        • 1. 0
        • 2. 
        • 3. 8
        • 4. 1
        • 5. 1000
        • 6. 1003
        • 7. 7
        • 8. 1001
        • 9. 9
        • 10. 1002
        • 11. 8
        • 12. 8
        Backtrace
        • 14. view::theme::layouts.components.category_subfooter:19
        • 16. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 17. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 19. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `categories` where `categories`.`id` in (7, 8, 1000, 1001)
        12.45msview::theme::layouts.components.category_subfooter:19mes
        Metadata
        Backtrace
        • 19. view::theme::layouts.components.category_subfooter:19
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `categories` where `categories`.`id` in (1)
        4.29msview::theme::layouts.components.category_subfooter:19mes
        Metadata
        Backtrace
        • 24. view::theme::layouts.components.category_subfooter:19
        • 26. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 27. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 29. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `article_types` where `article_types`.`id` in (3)
        4.4msview::theme::layouts.components.category_subfooter:19mes
        Metadata
        Backtrace
        • 19. view::theme::layouts.components.category_subfooter:19
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `categories` where `categories`.`id` = 4 limit 1
        3.42ms/app/Models/Category.php:142mes
        Metadata
        Bindings
        • 0. 4
        Backtrace
        • 19. /app/Models/Category.php:142
        • 20. view::theme::layouts.components.category_subfooter:18
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `categories` where `categories`.`parent_id` = 4 and `categories`.`parent_id` is not null order by `shortname` asc
        5.82ms/app/Models/Category.php:148mes
        Metadata
        Bindings
        • 0. 4
        Backtrace
        • 20. /app/Models/Category.php:148
        • 21. view::theme::layouts.components.category_subfooter:18
        • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 25. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select `articles`.* from `articles` where `publish_at` < '2025-04-01 17:50:34' and `primary_image` is not null and `primary_image` != '0' and `primary_image` != '' and `article_type_id` <> '8' and (`primary_category` = 4 or `primary_category` = 32 or `primary_category` = 31 or `primary_category` = 30 or `primary_category` = 29 or `primary_category` = 27) and `article_type_id` <> '8' order by `publish_at` desc limit 5
        505msview::theme::layouts.components.category_subfooter:19mes
        Metadata
        Bindings
        • 0. 2025-04-01 17:50:34
        • 1. 0
        • 2. 
        • 3. 8
        • 4. 4
        • 5. 32
        • 6. 31
        • 7. 30
        • 8. 29
        • 9. 27
        • 10. 8
        Backtrace
        • 14. view::theme::layouts.components.category_subfooter:19
        • 16. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 17. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 19. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `categories` where `categories`.`id` in (27, 31, 32)
        33.38msview::theme::layouts.components.category_subfooter:19mes
        Metadata
        Backtrace
        • 19. view::theme::layouts.components.category_subfooter:19
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `categories` where `categories`.`id` in (4)
        6.72msview::theme::layouts.components.category_subfooter:19mes
        Metadata
        Backtrace
        • 24. view::theme::layouts.components.category_subfooter:19
        • 26. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 27. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 29. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `article_types` where `article_types`.`id` in (2, 3)
        8.9msview::theme::layouts.components.category_subfooter:19mes
        Metadata
        Backtrace
        • 19. view::theme::layouts.components.category_subfooter:19
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `categories` where `categories`.`id` = 5 limit 1
        4.02ms/app/Models/Category.php:142mes
        Metadata
        Bindings
        • 0. 5
        Backtrace
        • 19. /app/Models/Category.php:142
        • 20. view::theme::layouts.components.category_subfooter:18
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `categories` where `categories`.`parent_id` = 5 and `categories`.`parent_id` is not null order by `shortname` asc
        2.24ms/app/Models/Category.php:148mes
        Metadata
        Bindings
        • 0. 5
        Backtrace
        • 20. /app/Models/Category.php:148
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