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.