Triple
T18956187
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kummer surface |
E463785
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Enriques surfaces
Enriques surfaces are a special class of complex algebraic surfaces of Kodaira dimension zero with finite fundamental group, notable in the classification of algebraic surfaces and closely related to K3 and Kummer surfaces.
|
E1351143
|
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: Enriques surfaces | Statement: [Kummer surface, relatedTo, Enriques surfaces]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Enriques surfaces Context triple: [Kummer surface, relatedTo, Enriques surfaces]
-
A.
Hirzebruch surfaces
Hirzebruch surfaces are a family of complex algebraic surfaces that serve as fundamental examples in algebraic geometry and the classification of complex surfaces.
-
B.
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.
-
C.
"Algebraic Surfaces"
"Algebraic Surfaces" is a foundational monograph in algebraic geometry that systematically develops the theory and classification of algebraic surfaces.
-
D.
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.
-
E.
Hurwitz surfaces
Hurwitz surfaces are compact Riemann surfaces of maximal possible automorphism group size for their genus, achieving the Hurwitz bound of 84(g−1) symmetries.
- 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: Enriques surfaces Triple: [Kummer surface, relatedTo, Enriques surfaces]
Generated description
Enriques surfaces are a special class of complex algebraic surfaces of Kodaira dimension zero with finite fundamental group, notable in the classification of algebraic surfaces and closely related to K3 and Kummer surfaces.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Enriques surfaces Target entity description: Enriques surfaces are a special class of complex algebraic surfaces of Kodaira dimension zero with finite fundamental group, notable in the classification of algebraic surfaces and closely related to K3 and Kummer surfaces.
-
A.
Hirzebruch surfaces
Hirzebruch surfaces are a family of complex algebraic surfaces that serve as fundamental examples in algebraic geometry and the classification of complex surfaces.
-
B.
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.
-
C.
"Algebraic Surfaces"
"Algebraic Surfaces" is a foundational monograph in algebraic geometry that systematically develops the theory and classification of algebraic surfaces.
-
D.
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.
-
E.
Hurwitz surfaces
Hurwitz surfaces are compact Riemann surfaces of maximal possible automorphism group size for their genus, achieving the Hurwitz bound of 84(g−1) symmetries.
- 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_69d8dcffc278819086792a4ebfddfafa |
completed | April 10, 2026, 11:20 a.m. |
| NER | Named-entity recognition | batch_69e5d5cdf2d08190a0aecd3fa5335a75 |
completed | April 20, 2026, 7:29 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a059fd529c8819099696dce6a9040de |
completed | May 14, 2026, 10:11 a.m. |
| NEDg | Description generation | batch_6a05a161c8e88190a6f9c9abe3314487 |
completed | May 14, 2026, 10:18 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a05a1cb500481908608daee7537dd0c |
completed | May 14, 2026, 10:19 a.m. |
Created at: April 10, 2026, noon