Triple

T1234857
Position Surface form Disambiguated ID Type / Status
Subject Sophus Lie E26524 entity
Predicate givenName P17 FINISHED
Object Sophus
Sophus was the given name of the Norwegian mathematician Sophus Lie, a pioneer in the theory of continuous transformation groups now known as Lie groups.
 E141118 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: Sophus | Statement: [Sophus Lie, givenName, Sophus]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Sophus
Context triple: [Sophus Lie, givenName, Sophus]
  • A. Euclidean group
    The Euclidean group is the group of all distance-preserving transformations of Euclidean space, consisting of rotations, reflections, and translations.
  • B. Cartan
    Cartan is a French surname most famously associated with mathematician Élie Cartan and his influential family of mathematicians.
  • C. ROS
    ROS is the National Rail station code for Rosyth railway station in Fife, Scotland.
  • D. Cartan decomposition
    Cartan decomposition is a fundamental structural result in Lie theory that expresses a Lie algebra or Lie group as a direct sum or product of subspaces or subgroups with specific symmetry properties, widely used in differential geometry and representation theory.
  • E. Lorentz group
    The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
  • 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: Sophus
Triple: [Sophus Lie, givenName, Sophus]
Generated description
Sophus was the given name of the Norwegian mathematician Sophus Lie, a pioneer in the theory of continuous transformation groups now known as Lie groups.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Sophus
Target entity description: Sophus was the given name of the Norwegian mathematician Sophus Lie, a pioneer in the theory of continuous transformation groups now known as Lie groups.
  • A. Euclidean group
    The Euclidean group is the group of all distance-preserving transformations of Euclidean space, consisting of rotations, reflections, and translations.
  • B. Cartan
    Cartan is a French surname most famously associated with mathematician Élie Cartan and his influential family of mathematicians.
  • C. ROS
    ROS is the National Rail station code for Rosyth railway station in Fife, Scotland.
  • D. Cartan decomposition
    Cartan decomposition is a fundamental structural result in Lie theory that expresses a Lie algebra or Lie group as a direct sum or product of subspaces or subgroups with specific symmetry properties, widely used in differential geometry and representation theory.
  • E. Lorentz group
    The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
  • 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_69a4948571c88190a9191e451e6035fd completed March 1, 2026, 7:33 p.m.
NER Named-entity recognition batch_69a4be5e421081908f2432528019db25 completed March 1, 2026, 10:31 p.m.
NED1 Entity disambiguation (via context triple) batch_69ac8a16badc8190b5b603db0ca738cb completed March 7, 2026, 8:27 p.m.
NEDg Description generation batch_69ac8b70bd888190bed944579237bfad completed March 7, 2026, 8:32 p.m.
NED2 Entity disambiguation (via description) batch_69ac8bce4be48190b7e396d31e881450 completed March 7, 2026, 8:34 p.m.
Created at: March 1, 2026, 7:47 p.m.