Triple

T7011139
Position Surface form Disambiguated ID Type / Status
Subject Karen Vogtmann E162581 entity
Predicate researchInterest P3 FINISHED
Object Outer space (Culler–Vogtmann Outer space)
Outer space (Culler–Vogtmann Outer space) is a topological space introduced by Culler and Vogtmann that parametrizes marked metric graphs and serves as an analogue of Teichmüller space for the study of the outer automorphism group of a free group.
E634850 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: Outer space (Culler–Vogtmann Outer space) | Statement: [Karen Vogtmann, researchInterest, Outer space (Culler–Vogtmann Outer space)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Outer space (Culler–Vogtmann Outer space)
Context triple: [Karen Vogtmann, researchInterest, Outer space (Culler–Vogtmann Outer space)]
  • A. Dehn complex
    The Dehn complex is a topological construction introduced by Max Dehn in the study of group presentations and decision problems, encoding relations of a group as a 2-dimensional cell complex.
  • B. Dehn algorithm
    The Dehn algorithm is a decision procedure in combinatorial group theory that solves the word problem for certain groups by systematically reducing words using defining relations.
  • C. Dehn surgery
    Dehn surgery is a fundamental operation in 3-manifold topology that modifies a 3-dimensional manifold by cutting out a solid torus and gluing it back in a different way, playing a central role in the classification and study of 3-manifolds.
  • D. Manifold: Space
    Manifold: Space is a hard science fiction novel by Stephen Baxter that explores humanity’s attempts to understand the Fermi paradox and the future of intelligent life in the universe.
  • E. Hyperbolic Manifolds and Discrete Groups
    "Hyperbolic Manifolds and Discrete Groups" is a foundational mathematical monograph that develops the theory of hyperbolic geometry and its deep connections with discrete group actions and low-dimensional topology.
  • 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: Outer space (Culler–Vogtmann Outer space)
Triple: [Karen Vogtmann, researchInterest, Outer space (Culler–Vogtmann Outer space)]
Generated description
Outer space (Culler–Vogtmann Outer space) is a topological space introduced by Culler and Vogtmann that parametrizes marked metric graphs and serves as an analogue of Teichmüller space for the study of the outer automorphism group of a free group.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Outer space (Culler–Vogtmann Outer space)
Target entity description: Outer space (Culler–Vogtmann Outer space) is a topological space introduced by Culler and Vogtmann that parametrizes marked metric graphs and serves as an analogue of Teichmüller space for the study of the outer automorphism group of a free group.
  • A. Dehn complex
    The Dehn complex is a topological construction introduced by Max Dehn in the study of group presentations and decision problems, encoding relations of a group as a 2-dimensional cell complex.
  • B. Dehn algorithm
    The Dehn algorithm is a decision procedure in combinatorial group theory that solves the word problem for certain groups by systematically reducing words using defining relations.
  • C. Dehn surgery
    Dehn surgery is a fundamental operation in 3-manifold topology that modifies a 3-dimensional manifold by cutting out a solid torus and gluing it back in a different way, playing a central role in the classification and study of 3-manifolds.
  • D. Manifold: Space
    Manifold: Space is a hard science fiction novel by Stephen Baxter that explores humanity’s attempts to understand the Fermi paradox and the future of intelligent life in the universe.
  • E. Hyperbolic Manifolds and Discrete Groups
    "Hyperbolic Manifolds and Discrete Groups" is a foundational mathematical monograph that develops the theory of hyperbolic geometry and its deep connections with discrete group actions and low-dimensional topology.
  • 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_69c6885a127c8190867b059bdccf13ff completed March 27, 2026, 1:38 p.m.
NER Named-entity recognition batch_69c6dc5729448190af66dbd6f3e8936e completed March 27, 2026, 7:36 p.m.
NED1 Entity disambiguation (via context triple) batch_69c76a4bd424819097e1543ec59979ff completed March 28, 2026, 5:42 a.m.
NEDg Description generation batch_69c76b1ef6f481908f4c4f610328f633 completed March 28, 2026, 5:46 a.m.
NED2 Entity disambiguation (via description) batch_69c76c01679c8190b61f642c23c25ed5 completed March 28, 2026, 5:49 a.m.
Created at: March 27, 2026, 2:34 p.m.