Triple
T10410817
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | ICM |
E245382
|
entity |
| Predicate | hasTrack |
P3284
|
FINISHED |
| Object |
geometry and topology
Geometry and topology is a major branch of mathematics focused on the properties, shapes, and structures of spaces, ranging from classical Euclidean geometry to abstract manifolds and their continuous deformations.
|
E862008
|
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: geometry and topology | Statement: [ICM, hasTrack, geometry and topology]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: geometry and topology Context triple: [ICM, hasTrack, geometry and topology]
-
A.
Three-dimensional geometry and topology
Three-dimensional geometry and topology is a foundational mathematical monograph by William Thurston that develops the modern theory of 3-manifolds and introduces influential concepts such as hyperbolic structures and the geometrization viewpoint.
-
B.
Topology
"Topology" is a foundational mathematical text by Solomon Lefschetz that systematically develops the concepts and methods of algebraic topology.
-
C.
The geometry of four-manifolds
The Geometry of Four-Manifolds is a foundational monograph in differential geometry that develops the theory of smooth four-dimensional manifolds using gauge theory and Yang–Mills instantons.
-
D.
Möbius geometry
Möbius geometry is a branch of geometry that studies properties of figures invariant under Möbius (conformal) transformations of the extended complex plane or higher-dimensional spheres.
-
E.
differential geometry
Differential geometry is a branch of mathematics that uses the techniques of calculus and linear algebra to study the properties and curvature of smooth shapes and spaces such as curves, surfaces, and manifolds.
- 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: geometry and topology Triple: [ICM, hasTrack, geometry and topology]
Generated description
Geometry and topology is a major branch of mathematics focused on the properties, shapes, and structures of spaces, ranging from classical Euclidean geometry to abstract manifolds and their continuous deformations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: geometry and topology Target entity description: Geometry and topology is a major branch of mathematics focused on the properties, shapes, and structures of spaces, ranging from classical Euclidean geometry to abstract manifolds and their continuous deformations.
-
A.
Three-dimensional geometry and topology
Three-dimensional geometry and topology is a foundational mathematical monograph by William Thurston that develops the modern theory of 3-manifolds and introduces influential concepts such as hyperbolic structures and the geometrization viewpoint.
-
B.
Topology
"Topology" is a foundational mathematical text by Solomon Lefschetz that systematically develops the concepts and methods of algebraic topology.
-
C.
The geometry of four-manifolds
The Geometry of Four-Manifolds is a foundational monograph in differential geometry that develops the theory of smooth four-dimensional manifolds using gauge theory and Yang–Mills instantons.
-
D.
Möbius geometry
Möbius geometry is a branch of geometry that studies properties of figures invariant under Möbius (conformal) transformations of the extended complex plane or higher-dimensional spheres.
-
E.
differential geometry
Differential geometry is a branch of mathematics that uses the techniques of calculus and linear algebra to study the properties and curvature of smooth shapes and spaces such as curves, surfaces, and manifolds.
- 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_69d381be340c8190b05998703d42d224 |
completed | April 6, 2026, 9:49 a.m. |
| NER | Named-entity recognition | batch_69d4e9fb98748190a3a6c161edd8f400 |
completed | April 7, 2026, 11:26 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d7fbfae96c8190ac496e9a1158afe4 |
completed | April 9, 2026, 7:20 p.m. |
| NEDg | Description generation | batch_69d822d6a0188190a7ee6de5aab50486 |
completed | April 9, 2026, 10:06 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69d859e40bf88190a6dc8deed3049d31 |
completed | April 10, 2026, 2:01 a.m. |
Created at: April 6, 2026, 12:09 p.m.