Triple

T8453085
Position Surface form Disambiguated ID Type / Status
Subject Frederick Soddy E199847 entity
Predicate knownFor P22 FINISHED
Object Soddy circle
A Soddy circle is one of the circles in a configuration of four mutually tangent circles, central to the geometric problem described by Descartes' circle theorem.
E734966 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: Soddy circle | Statement: [Frederick Soddy, knownFor, Soddy circle]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Soddy circle
Context triple: [Frederick Soddy, knownFor, Soddy circle]
  • A. Conway circle theorem
    The Conway circle theorem is a geometric result in triangle geometry that identifies a special circle associated with a triangle and certain constructed points, revealing notable collinearities and concyclicity relationships.
  • B. Malfatti
    Malfatti is an Italian-origin surname notably associated with Brazilian modernist painter Anita Malfatti.
  • 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. Cartesian circle
    The Cartesian circle is a famous alleged circular reasoning in René Descartes’ Meditations, where his proof of God’s existence and his justification of clear and distinct perceptions appear to depend on each other.
  • E. Several Circles
    Several Circles is an abstract painting by Wassily Kandinsky that explores pure geometric forms and color relationships through a dynamic composition of overlapping circles.
  • 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: Soddy circle
Triple: [Frederick Soddy, knownFor, Soddy circle]
Generated description
A Soddy circle is one of the circles in a configuration of four mutually tangent circles, central to the geometric problem described by Descartes' circle theorem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Soddy circle
Target entity description: A Soddy circle is one of the circles in a configuration of four mutually tangent circles, central to the geometric problem described by Descartes' circle theorem.
  • A. Conway circle theorem
    The Conway circle theorem is a geometric result in triangle geometry that identifies a special circle associated with a triangle and certain constructed points, revealing notable collinearities and concyclicity relationships.
  • B. Malfatti
    Malfatti is an Italian-origin surname notably associated with Brazilian modernist painter Anita Malfatti.
  • 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. Cartesian circle
    The Cartesian circle is a famous alleged circular reasoning in René Descartes’ Meditations, where his proof of God’s existence and his justification of clear and distinct perceptions appear to depend on each other.
  • E. Several Circles
    Several Circles is an abstract painting by Wassily Kandinsky that explores pure geometric forms and color relationships through a dynamic composition of overlapping circles.
  • 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_69ca8318231881908fd1bc1c4d45d286 completed March 30, 2026, 2:05 p.m.
NER Named-entity recognition batch_69cbe48aee388190864ef1186d5ee419 completed March 31, 2026, 3:13 p.m.
NED1 Entity disambiguation (via context triple) batch_69ce1dda289c81908e0cc8e1a504caa1 completed April 2, 2026, 7:42 a.m.
NEDg Description generation batch_69ce1eddb9988190a77ab59f2867ad5d completed April 2, 2026, 7:46 a.m.
NED2 Entity disambiguation (via description) batch_69ce1fb9b03c819089976283e1c53ca5 completed April 2, 2026, 7:50 a.m.
Created at: March 30, 2026, 6:09 p.m.