Description:

Build the complete publication management system for the admin panel with CRUD operations, DOI auto-fill via OpenAlex/Crossref, and drag-and-drop index ordering. Implement consistent date-based sorting for public pages with year grouping. The publication model supports automated citation/topic sync fields for future crawler integration (crawler implementation is a separate task).

Tasks:

• Implement Publication CRUD with continuous unique index management
• Add DOI lookup integration (OpenAlex/Crossref) for metadata auto-fill
• Implement drag-and-drop reordering using @dnd-kit (matching member/collaborator patterns)
• Create TagInput components for Authors and Journal fields with autocomplete
• Add search/filter functionality with real-time results
• Fix public page sorting inconsistency (ensure newest-first within year groups)
• Display index badges on public publication cards
• Update seed data to assign higher indices to newer publications
• Add form validation and error handling across all publication forms