Triple

T490381
Position Surface form Disambiguated ID Type / Status
Subject Charles Proteus Steinmetz E9974 entity
Predicate knownFor P22 FINISHED
Object Steinmetz solid
The Steinmetz solid is a three-dimensional geometric shape formed by the intersection of two or more cylinders at right angles, often studied in calculus and solid geometry for its interesting volume and symmetry properties.
E61291 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: Steinmetz solid | Statement: [Charles Proteus Steinmetz, knownFor, Steinmetz solid]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Steinmetz solid
Context triple: [Charles Proteus Steinmetz, knownFor, Steinmetz solid]
  • A. Platonic solids
    Platonic solids are the five highly symmetrical, convex polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) that have identical regular polygonal faces and are fundamental in geometry and classical philosophy.
  • B. Klein quartic
    The Klein quartic is a highly symmetric algebraic curve of genus 3 that plays a central role in complex geometry, group theory, and the study of Riemann surfaces.
  • C. Euler’s polyhedron formula
    Euler’s polyhedron formula is a fundamental result in topology and geometry that relates the numbers of vertices, edges, and faces of a convex polyhedron through the equation V − E + F = 2.
  • D. Levitated Mass
    Levitated Mass is a large-scale outdoor sculpture by artist Michael Heizer featuring a massive suspended boulder installed at the Los Angeles County Museum of Art.
  • E. Mathematical Bridge
    The Mathematical Bridge is a famous wooden footbridge at Queens' College, Cambridge, known for its elegant arch that is constructed entirely from straight timbers.
  • 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: Steinmetz solid
Triple: [Charles Proteus Steinmetz, knownFor, Steinmetz solid]
Generated description
The Steinmetz solid is a three-dimensional geometric shape formed by the intersection of two or more cylinders at right angles, often studied in calculus and solid geometry for its interesting volume and symmetry properties.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Steinmetz solid
Target entity description: The Steinmetz solid is a three-dimensional geometric shape formed by the intersection of two or more cylinders at right angles, often studied in calculus and solid geometry for its interesting volume and symmetry properties.
  • A. Platonic solids
    Platonic solids are the five highly symmetrical, convex polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) that have identical regular polygonal faces and are fundamental in geometry and classical philosophy.
  • B. Klein quartic
    The Klein quartic is a highly symmetric algebraic curve of genus 3 that plays a central role in complex geometry, group theory, and the study of Riemann surfaces.
  • C. Euler’s polyhedron formula
    Euler’s polyhedron formula is a fundamental result in topology and geometry that relates the numbers of vertices, edges, and faces of a convex polyhedron through the equation V − E + F = 2.
  • D. Levitated Mass
    Levitated Mass is a large-scale outdoor sculpture by artist Michael Heizer featuring a massive suspended boulder installed at the Los Angeles County Museum of Art.
  • E. Mathematical Bridge
    The Mathematical Bridge is a famous wooden footbridge at Queens' College, Cambridge, known for its elegant arch that is constructed entirely from straight timbers.
  • 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_69a2e802e2908190ab17c9479e0b6412 completed Feb. 28, 2026, 1:05 p.m.
NER Named-entity recognition batch_69a2f0e22a308190b04d12974fd08a38 completed Feb. 28, 2026, 1:42 p.m.
NED1 Entity disambiguation (via context triple) batch_69a4777eab9c8190894b34e011190a54 completed March 1, 2026, 5:29 p.m.
NEDg Description generation batch_69a477d94d3c819096d8bad88a5c8cb9 completed March 1, 2026, 5:31 p.m.
NED2 Entity disambiguation (via description) batch_69a478abe5c08190b7fff1ddd8d89449 completed March 1, 2026, 5:34 p.m.
Created at: Feb. 28, 2026, 1:12 p.m.