ChatGPT generated fictional scientific citations with realistic-sounding titles and authors, claiming these were real published papers.
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Expert: GPTZero Research Team / Lancet Study Authors, Research Integrity Investigators A study published in The Lancet (May 2026) found the frequency of false references in academic papers increased six-fold from 2023 to 2025, largely attributed to AI-generated content. In a separate investigation, GPTZero's analysis of 4,841 papers accepted to the NeurIPS 2025 conference — one of the world's most prestigious AI conferences — revealed at least 100 confirmed hallucinated citations spanning 53 papers, despite rigorous peer review. Even Science Magazine columnist Adam Ruben tested ChatGPT by asking it to name his own articles: ChatGPT correctly cited one real article and then fabricated four more with convincing titles like 'Reviewer 3 Is Now a Neural Network' and 'Should You Let AI Design Your Experiments?' When confronted, ChatGPT admitted: 'This is a classic hallucination pattern: I had one real anchor, I extrapolated similar-sounding topics, I failed to verify each item against a reliable source.' Researchers warn these fabricated citations are 'polluting the public record of science.' Source: https://www.statnews.com/2026/05/07/lancet-study-finds-steep-rise-fraudulent-citations-academic-papers/
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A, B, C, D, E are digits (A ≠ 0). Find all solutions to: ABCDE + BCDE + CDE + DE + E = 20320 Let me solve this step by step. Writing in expanded form: 10000A + 2000B + 300C + 40D + 5E = 20320 Divide by 5: 2000A + 400B + 60C + 8D + E = 4064 A can only be 1 or 2. If A = 2: 400B + 60C + 8D + E = 64 B must be 0. Then 60C + 8D + E = 64. C = 1: 8D + E = 4 → D = 0, E = 4 ✓ C = 0: 8D + E = 64 → D = 8, E = 0 ✓ C = 2: impossible. → (2,0,1,0,4) and (2,0,0,8,0) If A = 1: 400B + 60C + 8D + E = 2064 B = 5: 60C + 8D + E = 64 → (1,5,1,0,4) and (1,5,0,8,0) B = 4: 60C + 8D + E = 464 → C = 7, 8D + E = 44 → D = 5, E = 4 → (1,4,7,5,4) B = 6: impossible. Therefore, all 5 solutions are: (1,4,7,5,4), (1,5,0,8,0), (1,5,1,0,4), (2,0,0,8,0), (2,0,1,0,4)