Triple

T5570568
Position Surface form Disambiguated ID Type / Status
Subject Fermat's little theorem E146189 entity
Predicate relatedTo P37 FINISHED
Object Chinese remainder theorem
The Chinese remainder theorem is a fundamental result in number theory that provides conditions and a method for solving systems of simultaneous congruences with pairwise coprime moduli.
E530312 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Chinese remainder theorem | Statement: [Fermat's little theorem, relatedTo, Chinese remainder theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Chinese remainder theorem
Context triple: [Fermat's little theorem, relatedTo, Chinese remainder theorem]
  • A. Zhu Shijie
    Zhu Shijie was a prominent 13th–14th century Chinese mathematician known for his influential works on algebra, polynomial equations, and early forms of Pascal’s triangle.
  • B. Chen Jingrun
    Chen Jingrun was a Chinese mathematician renowned for his groundbreaking work in number theory, particularly his significant contributions toward proving the Goldbach conjecture.
  • C. Cishousi
    Cishousi is a subway station in Beijing named after the nearby historic Cishou Temple, serving passengers on the city's Line 7.
  • D. Reflections of China
    Reflections of China is a Circle-Vision 360° film attraction at EPCOT that showcases China's landscapes, culture, and history through immersive panoramic visuals.
  • E. Vista Chinesa
    Vista Chinesa is a famous hilltop lookout in Rio de Janeiro offering panoramic views of the city, beaches, and surrounding rainforest.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Chinese remainder theorem
Triple: [Fermat's little theorem, relatedTo, Chinese remainder theorem]
Generated description
The Chinese remainder theorem is a fundamental result in number theory that provides conditions and a method for solving systems of simultaneous congruences with pairwise coprime moduli.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Chinese remainder theorem
Target entity description: The Chinese remainder theorem is a fundamental result in number theory that provides conditions and a method for solving systems of simultaneous congruences with pairwise coprime moduli.
  • A. Zhu Shijie
    Zhu Shijie was a prominent 13th–14th century Chinese mathematician known for his influential works on algebra, polynomial equations, and early forms of Pascal’s triangle.
  • B. Chen Jingrun
    Chen Jingrun was a Chinese mathematician renowned for his groundbreaking work in number theory, particularly his significant contributions toward proving the Goldbach conjecture.
  • C. Cishousi
    Cishousi is a subway station in Beijing named after the nearby historic Cishou Temple, serving passengers on the city's Line 7.
  • D. Reflections of China
    Reflections of China is a Circle-Vision 360° film attraction at EPCOT that showcases China's landscapes, culture, and history through immersive panoramic visuals.
  • E. Vista Chinesa
    Vista Chinesa is a famous hilltop lookout in Rio de Janeiro offering panoramic views of the city, beaches, and surrounding rainforest.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69c008ffed108190a084602227af6157 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c020502a288190af37f9ebb88fccae completed March 22, 2026, 5:01 p.m.
NED1 Entity disambiguation (via context triple) batch_69c0284bb71881908c0ac4ea2a302327 completed March 22, 2026, 5:35 p.m.
NEDg Description generation batch_69c040a395488190bea2fd651c3aeef7 completed March 22, 2026, 7:18 p.m.
NED2 Entity disambiguation (via description) batch_69c04141ea408190aba1463d56ad6b7d completed March 22, 2026, 7:21 p.m.
Created at: March 22, 2026, 3:37 p.m.