Triple
T5837293
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Calabi–Yau manifold |
E129502
|
entity |
| Predicate | example |
P1259
|
FINISHED |
| Object |
K3 surface
A K3 surface is a compact, complex, two-dimensional algebraic surface with trivial canonical bundle and no global holomorphic 1-forms, serving as a fundamental example in algebraic geometry and string theory.
|
E129502
|
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: K3 surface | Statement: [Calabi–Yau manifold, example, K3 surface]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: K3 surface Context triple: [Calabi–Yau manifold, example, K3 surface]
-
A.
Kummer surfaces
Kummer surfaces are special quartic algebraic surfaces in projective three-space characterized by having 16 ordinary double points, extensively studied in the context of complex geometry and abelian varieties.
-
B.
Calabi–Yau manifold
A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
-
C.
Fermat surface
A Fermat surface is an algebraic surface in projective space defined by a homogeneous equation where each variable appears with the same exponent, generalizing the notion of Fermat curves to higher dimensions.
-
D.
Kähler manifold
A Kähler manifold is a complex manifold equipped with a Hermitian metric whose associated symplectic form is closed, making it simultaneously a complex, Riemannian, and symplectic manifold in a compatible way.
-
E.
Clebsch diagonal surfaces
Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
- 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: K3 surface Triple: [Calabi–Yau manifold, example, K3 surface]
Generated description
A K3 surface is a compact, complex, two-dimensional algebraic surface with trivial canonical bundle and no global holomorphic 1-forms, serving as a fundamental example in algebraic geometry and string theory.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: K3 surface Target entity description: A K3 surface is a compact, complex, two-dimensional algebraic surface with trivial canonical bundle and no global holomorphic 1-forms, serving as a fundamental example in algebraic geometry and string theory.
-
A.
Kummer surfaces
Kummer surfaces are special quartic algebraic surfaces in projective three-space characterized by having 16 ordinary double points, extensively studied in the context of complex geometry and abelian varieties.
-
B.
Calabi–Yau manifold
chosen
A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
-
C.
Fermat surface
A Fermat surface is an algebraic surface in projective space defined by a homogeneous equation where each variable appears with the same exponent, generalizing the notion of Fermat curves to higher dimensions.
-
D.
Kähler manifold
A Kähler manifold is a complex manifold equipped with a Hermitian metric whose associated symplectic form is closed, making it simultaneously a complex, Riemannian, and symplectic manifold in a compatible way.
-
E.
Clebsch diagonal surfaces
Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
- F. None of above.
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_69c0084af79c81908af128ccc29983d0 |
completed | March 22, 2026, 3:18 p.m. |
| NER | Named-entity recognition | batch_69c034a48750819099ae917ae2b54e6d |
completed | March 22, 2026, 6:27 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c0a19a6554819086cdae499f4d2247 |
completed | March 23, 2026, 2:12 a.m. |
| NEDg | Description generation | batch_69c0a5ce005c8190a7da8d337caa089c |
completed | March 23, 2026, 2:30 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c0a62cadf481909007a2a16cd36dbf |
completed | March 23, 2026, 2:32 a.m. |
Created at: March 22, 2026, 3:54 p.m.