Triple
T23234832
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Möbius geometry |
E581257
|
entity |
| Predicate | uses |
P98
|
FINISHED |
| Object | differential geometry |
—
|
NE NERFINISHED |
How this triple was built (2 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: differential geometry | Statement: [Möbius geometry, uses, differential geometry]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: differential geometry Context triple: [Möbius geometry, uses, differential geometry]
-
A.
differential geometry
chosen
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.
-
B.
Foundations of Differential Geometry
Foundations of Differential Geometry is a classic two-volume textbook by Shoshichi Kobayashi and Katsumi Nomizu that systematically develops modern differential geometry, including connections, curvature, and geometric structures on manifolds.
-
C.
Riemannian manifolds
Riemannian manifolds are smooth manifolds equipped with an inner product on each tangent space that allows one to measure lengths, angles, and curvature in a curved geometric setting.
-
D.
affine differential geometry
Affine differential geometry is a branch of differential geometry that studies geometric properties of submanifolds and spaces invariant under volume-preserving affine transformations.
-
E.
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.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69e2460556f88190be1744a84a84173f |
completed | April 17, 2026, 2:39 p.m. |
| NER | Named-entity recognition | batch_69f192e8c7548190b53434eeb2620a6e |
completed | April 29, 2026, 5:11 a.m. |
Created at: April 17, 2026, 4:09 p.m.