Triple

T17647584
Position Surface form Disambiguated ID Type / Status
Subject David Eisenbud E429400 entity
Predicate doctoralThesisTitle P1860 FINISHED
Object Some Aspects of the Theory of Algebraic Curves
"Some Aspects of the Theory of Algebraic Curves" is David Eisenbud's doctoral dissertation, focusing on foundational and advanced properties of algebraic curves within algebraic geometry.
E1281444 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: Some Aspects of the Theory of Algebraic Curves | Statement: [David Eisenbud, doctoralThesisTitle, Some Aspects of the Theory of Algebraic Curves]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Some Aspects of the Theory of Algebraic Curves
Context triple: [David Eisenbud, doctoralThesisTitle, Some Aspects of the Theory of Algebraic Curves]
  • A. 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.
  • B. 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.
  • C. Sur les courbes algébriques et les variétés qui s’en déduisent
    Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
  • D. Introduction to the Theory of Algebraic Functions of One Variable
    Introduction to the Theory of Algebraic Functions of One Variable is a classic monograph by Claude Chevalley that provides a rigorous, modern foundation for the theory of algebraic function fields in one variable.
  • E. "Algebraic Surfaces"
    "Algebraic Surfaces" is a foundational monograph in algebraic geometry that systematically develops the theory and classification of algebraic surfaces.
  • 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: Some Aspects of the Theory of Algebraic Curves
Triple: [David Eisenbud, doctoralThesisTitle, Some Aspects of the Theory of Algebraic Curves]
Generated description
"Some Aspects of the Theory of Algebraic Curves" is David Eisenbud's doctoral dissertation, focusing on foundational and advanced properties of algebraic curves within algebraic geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Some Aspects of the Theory of Algebraic Curves
Target entity description: "Some Aspects of the Theory of Algebraic Curves" is David Eisenbud's doctoral dissertation, focusing on foundational and advanced properties of algebraic curves within algebraic geometry.
  • A. 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.
  • B. 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.
  • C. Sur les courbes algébriques et les variétés qui s’en déduisent
    Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
  • D. Introduction to the Theory of Algebraic Functions of One Variable
    Introduction to the Theory of Algebraic Functions of One Variable is a classic monograph by Claude Chevalley that provides a rigorous, modern foundation for the theory of algebraic function fields in one variable.
  • E. "Algebraic Surfaces"
    "Algebraic Surfaces" is a foundational monograph in algebraic geometry that systematically develops the theory and classification of algebraic surfaces.
  • 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_69d889e2c2608190b762e76d9b2262f1 completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e46e3a5ad8819085d4bef669fc3152 completed April 19, 2026, 5:55 a.m.
NED1 Entity disambiguation (via context triple) batch_6a021650aed4819089892c32c0236e3e completed May 11, 2026, 5:48 p.m.
NEDg Description generation batch_6a021a2ae13c8190a6a7a524b6c8879d completed May 11, 2026, 6:04 p.m.
NED2 Entity disambiguation (via description) batch_6a021ac1dd1c81909a1a13bc0556a985 completed May 11, 2026, 6:06 p.m.
Created at: April 10, 2026, 6:05 a.m.