Triple

T17386219
Position Surface form Disambiguated ID Type / Status
Subject Oscar Zariski E422693 entity
Predicate coWrote P7732 FINISHED
Object "Algebraic Surfaces"
"Algebraic Surfaces" is a foundational monograph in algebraic geometry that systematically develops the theory and classification of algebraic surfaces.
 E1266007 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: "Algebraic Surfaces" | Statement: [Oscar Zariski, coWrote, "Algebraic Surfaces"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: "Algebraic Surfaces"
Context triple: [Oscar Zariski, coWrote, "Algebraic Surfaces"]
  • 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. 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.
  • C. Theorie der algebraischen Kurven
    "Theorie der algebraischen Kurven" is a foundational 19th-century mathematical treatise by Julius Plücker that systematically develops the geometry and classification of algebraic curves.
  • D. Contributions to the theory of algebraic curves
    "Contributions to the Theory of Algebraic Curves" is a foundational mathematical work by Henry Frederick Baker that systematically develops the geometry and function theory of algebraic curves.
  • E. Topological Methods in Algebraic Geometry
    Topological Methods in Algebraic Geometry is a foundational mathematical monograph by Friedrich Hirzebruch that applies topological techniques, particularly characteristic classes and cobordism theory, to problems in algebraic geometry.
  • 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: "Algebraic Surfaces"
Triple: [Oscar Zariski, coWrote, "Algebraic Surfaces"]
Generated description
"Algebraic Surfaces" is a foundational monograph in algebraic geometry that systematically develops the theory and classification of algebraic surfaces.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: "Algebraic Surfaces"
Target entity description: "Algebraic Surfaces" is a foundational monograph in algebraic geometry that systematically develops the theory and classification of algebraic surfaces.
  • 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. 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.
  • C. Theorie der algebraischen Kurven
    "Theorie der algebraischen Kurven" is a foundational 19th-century mathematical treatise by Julius Plücker that systematically develops the geometry and classification of algebraic curves.
  • D. Contributions to the theory of algebraic curves
    "Contributions to the Theory of Algebraic Curves" is a foundational mathematical work by Henry Frederick Baker that systematically develops the geometry and function theory of algebraic curves.
  • E. Topological Methods in Algebraic Geometry
    Topological Methods in Algebraic Geometry is a foundational mathematical monograph by Friedrich Hirzebruch that applies topological techniques, particularly characteristic classes and cobordism theory, to problems in algebraic geometry.
  • 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_69d889d710288190bf0f4762801fefae completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e43a89c5008190a277a68e5cfe67b7 completed April 19, 2026, 2:14 a.m.
NED1 Entity disambiguation (via context triple) batch_6a019ff95e7c81909564abc3fe319611 completed May 11, 2026, 9:23 a.m.
NEDg Description generation batch_6a01a0c2f1108190b3cdabdcd3da7253 completed May 11, 2026, 9:26 a.m.
NED2 Entity disambiguation (via description) batch_6a01a14aeab881908abf4ec28164ba84 completed May 11, 2026, 9:28 a.m.
Created at: April 10, 2026, 5:45 a.m.