Triple

T1056962
Position Surface form Disambiguated ID Type / Status
Subject Euclidean space E22816 entity
Predicate satisfies P4233 FINISHED
Object Pythagorean theorem
The Pythagorean theorem is a fundamental principle of geometry stating that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
E121353 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: Pythagorean theorem | Statement: [Euclidean space, satisfies, Pythagorean theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Pythagorean theorem
Context triple: [Euclidean space, satisfies, Pythagorean theorem]
  • A. Pythagoras
    Pythagoras was an ancient Greek philosopher and mathematician best known for founding the Pythagorean school and for the Pythagorean theorem in geometry.
  • B. Pascal's triangle
    Pascal's triangle is a triangular array of numbers in which each entry is the sum of the two directly above it, widely used in combinatorics, algebra, and probability.
  • C. Pythagoras of Rhegion
    Pythagoras of Rhegion was an ancient Greek sculptor renowned for his realistic bronze statues and is traditionally credited with creating the famous Charioteer of Delphi.
  • D. Pyramid
    Pyramid is a lightweight, flexible Python web framework designed to scale from small applications to large, complex systems while offering great configurability and extensibility.
  • E. Fibonacci sequence
    The Fibonacci sequence is an infinite series of numbers where each term is the sum of the two preceding ones, widely used in mathematics, art, and design due to its connection with the golden ratio and natural growth patterns.
  • 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: Pythagorean theorem
Triple: [Euclidean space, satisfies, Pythagorean theorem]
Generated description
The Pythagorean theorem is a fundamental principle of geometry stating that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Pythagorean theorem
Target entity description: The Pythagorean theorem is a fundamental principle of geometry stating that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
  • A. Pythagoras
    Pythagoras was an ancient Greek philosopher and mathematician best known for founding the Pythagorean school and for the Pythagorean theorem in geometry.
  • B. Pascal's triangle
    Pascal's triangle is a triangular array of numbers in which each entry is the sum of the two directly above it, widely used in combinatorics, algebra, and probability.
  • C. Pythagoras of Rhegion
    Pythagoras of Rhegion was an ancient Greek sculptor renowned for his realistic bronze statues and is traditionally credited with creating the famous Charioteer of Delphi.
  • D. Pyramid
    Pyramid is a lightweight, flexible Python web framework designed to scale from small applications to large, complex systems while offering great configurability and extensibility.
  • E. Fibonacci sequence
    The Fibonacci sequence is an infinite series of numbers where each term is the sum of the two preceding ones, widely used in mathematics, art, and design due to its connection with the golden ratio and natural growth patterns.
  • 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_69a493dada0481909c43649f9843ea91 completed March 1, 2026, 7:30 p.m.
NER Named-entity recognition batch_69a4b8da80dc8190b79beaf509910725 completed March 1, 2026, 10:08 p.m.
NED1 Entity disambiguation (via context triple) batch_69ac3bd110ac8190b66163de42bd3034 completed March 7, 2026, 2:53 p.m.
NEDg Description generation batch_69ac3d4b32348190883244f2b8af32a0 completed March 7, 2026, 2:59 p.m.
NED2 Entity disambiguation (via description) batch_69ac3dbf5c70819084a942fc97a9b50f completed March 7, 2026, 3:01 p.m.
Created at: March 1, 2026, 7:42 p.m.