Triple
T16490039
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Thomas Archer Hirst |
E400543
|
entity |
| Predicate | influencedBy |
P9
|
FINISHED |
| Object |
German school of geometry
The German school of geometry was a 19th-century mathematical movement centered in Germany that advanced projective and synthetic geometry through the work of figures like Felix Klein and Bernhard Riemann.
|
E1216262
|
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: German school of geometry | Statement: [Thomas Archer Hirst, influencedBy, German school of geometry]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: German school of geometry Context triple: [Thomas Archer Hirst, influencedBy, German school of geometry]
-
A.
Grundlagen der Geometrie
Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
-
B.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
C.
Göttingen school of mathematics
The Göttingen school of mathematics was a highly influential early 20th-century mathematical tradition centered at the University of Göttingen, renowned for groundbreaking work in analysis, topology, and mathematical physics under figures like David Hilbert and Felix Klein.
-
D.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
-
E.
Erlangen Program
The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
- 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: German school of geometry Triple: [Thomas Archer Hirst, influencedBy, German school of geometry]
Generated description
The German school of geometry was a 19th-century mathematical movement centered in Germany that advanced projective and synthetic geometry through the work of figures like Felix Klein and Bernhard Riemann.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: German school of geometry Target entity description: The German school of geometry was a 19th-century mathematical movement centered in Germany that advanced projective and synthetic geometry through the work of figures like Felix Klein and Bernhard Riemann.
-
A.
Grundlagen der Geometrie
Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
-
B.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
C.
Göttingen school of mathematics
The Göttingen school of mathematics was a highly influential early 20th-century mathematical tradition centered at the University of Göttingen, renowned for groundbreaking work in analysis, topology, and mathematical physics under figures like David Hilbert and Felix Klein.
-
D.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
-
E.
Erlangen Program
The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
- 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_69d883813098819084f5409539723b59 |
completed | April 10, 2026, 4:58 a.m. |
| NER | Named-entity recognition | batch_69e32e2f31f48190825af5934d976ab7 |
completed | April 18, 2026, 7:09 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a00582472388190a3c338ab636da9c6 |
completed | May 10, 2026, 10:04 a.m. |
| NEDg | Description generation | batch_6a0059126e588190b531c145f3c155b4 |
completed | May 10, 2026, 10:08 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a0059bf355c81909d6796482fe7f3e3 |
completed | May 10, 2026, 10:11 a.m. |
Created at: April 10, 2026, 5:13 a.m.