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.