Triple

T3978808
Position Surface form Disambiguated ID Type / Status
Subject Thales of Miletus E85706 entity
Predicate knownFor P22 FINISHED
Object Thales’ theorem
Thales’ theorem is a fundamental result in Euclidean geometry stating that any angle inscribed in a semicircle is a right angle.
E403439 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: Thales’ theorem | Statement: [Thales of Miletus, knownFor, Thales’ theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Thales’ theorem
Context triple: [Thales of Miletus, knownFor, Thales’ theorem]
  • A. 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.
  • B. Pythagoreio
    Pythagoreio is a historic coastal town and popular tourist resort on the Greek island of Samos, known for its ancient harbor and archaeological sites.
  • C. Fermat point
    The Fermat point is a special point inside a triangle that minimizes the total distance to the triangle’s three vertices.
  • D. Pythagoras
    Pythagoras was an ancient Greek philosopher and mathematician best known for founding the Pythagorean school and for the Pythagorean theorem in geometry.
  • E. Tusi couple
    The Tusi couple is a geometric device from medieval Islamic astronomy that generates linear motion from the sum of two circular motions, later influencing Copernican models of planetary motion.
  • 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: Thales’ theorem
Triple: [Thales of Miletus, knownFor, Thales’ theorem]
Generated description
Thales’ theorem is a fundamental result in Euclidean geometry stating that any angle inscribed in a semicircle is a right angle.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Thales’ theorem
Target entity description: Thales’ theorem is a fundamental result in Euclidean geometry stating that any angle inscribed in a semicircle is a right angle.
  • A. 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.
  • B. Pythagoreio
    Pythagoreio is a historic coastal town and popular tourist resort on the Greek island of Samos, known for its ancient harbor and archaeological sites.
  • C. Fermat point
    The Fermat point is a special point inside a triangle that minimizes the total distance to the triangle’s three vertices.
  • D. Pythagoras
    Pythagoras was an ancient Greek philosopher and mathematician best known for founding the Pythagorean school and for the Pythagorean theorem in geometry.
  • E. Tusi couple
    The Tusi couple is a geometric device from medieval Islamic astronomy that generates linear motion from the sum of two circular motions, later influencing Copernican models of planetary motion.
  • 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_69aed93908348190a26c8aaf4fab3e86 completed March 9, 2026, 2:29 p.m.
NER Named-entity recognition batch_69aef9b9cdd08190b193735367b0b3cf completed March 9, 2026, 4:47 p.m.
NED1 Entity disambiguation (via context triple) batch_69b5401dd24481908d143a9da6786757 completed March 14, 2026, 11:01 a.m.
NEDg Description generation batch_69b5417d951c8190974f8449dd643eab completed March 14, 2026, 11:07 a.m.
NED2 Entity disambiguation (via description) batch_69b5421a2fd4819094e82aec70837aeb completed March 14, 2026, 11:10 a.m.
Created at: March 9, 2026, 3:33 p.m.