Triple

T17386213

Position	Surface form	Disambiguated ID	Type / Status
Subject	Oscar Zariski	`E422693`	entity
Predicate	knownFor	`P22`	FINISHED
Object	Zariski–Samuel "Commutative Algebra" textbooks The Zariski–Samuel "Commutative Algebra" textbooks are a foundational two-volume work that rigorously develops modern commutative algebra and underpins much of contemporary algebraic geometry.	`E1266005`	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: Zariski–Samuel "Commutative Algebra" textbooks | Statement: [Oscar Zariski, knownFor, Zariski–Samuel "Commutative Algebra" textbooks]

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Zariski–Samuel "Commutative Algebra" textbooks
Context triple: [Oscar Zariski, knownFor, Zariski–Samuel "Commutative Algebra" textbooks]

A. Eisenbud’s Commutative Algebra
Eisenbud’s *Commutative Algebra* is a widely used graduate-level textbook that develops modern commutative algebra with strong connections to algebraic geometry, featuring topics such as free resolutions, syzygies, and Castelnuovo–Mumford regularity.
B. “Introduction to Commutative Algebra” (with Ian G. Macdonald)
“Introduction to Commutative Algebra” (with Ian G. Macdonald) is a classic introductory textbook that provides a concise, rigorous foundation in commutative algebra, widely used by advanced undergraduates and beginning graduate students in mathematics.
C. Cours d’algèbre commutative
Cours d’algèbre commutative is a foundational French textbook on commutative algebra authored by mathematician Jean-Daniel Perrin.
D. Hartshorne Algebraic Geometry
Hartshorne Algebraic Geometry is a foundational graduate-level textbook by Robin Hartshorne that systematically develops modern algebraic geometry using schemes and cohomology.
E. Moderne Algebra
Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
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: Zariski–Samuel "Commutative Algebra" textbooks
Triple: [Oscar Zariski, knownFor, Zariski–Samuel "Commutative Algebra" textbooks]

Generated description

The Zariski–Samuel "Commutative Algebra" textbooks are a foundational two-volume work that rigorously develops modern commutative algebra and underpins much of contemporary algebraic geometry.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Zariski–Samuel "Commutative Algebra" textbooks
Target entity description: The Zariski–Samuel "Commutative Algebra" textbooks are a foundational two-volume work that rigorously develops modern commutative algebra and underpins much of contemporary algebraic geometry.

A. Eisenbud’s Commutative Algebra
Eisenbud’s *Commutative Algebra* is a widely used graduate-level textbook that develops modern commutative algebra with strong connections to algebraic geometry, featuring topics such as free resolutions, syzygies, and Castelnuovo–Mumford regularity.
B. “Introduction to Commutative Algebra” (with Ian G. Macdonald)
“Introduction to Commutative Algebra” (with Ian G. Macdonald) is a classic introductory textbook that provides a concise, rigorous foundation in commutative algebra, widely used by advanced undergraduates and beginning graduate students in mathematics.
C. Cours d’algèbre commutative
Cours d’algèbre commutative is a foundational French textbook on commutative algebra authored by mathematician Jean-Daniel Perrin.
D. Hartshorne Algebraic Geometry
Hartshorne Algebraic Geometry is a foundational graduate-level textbook by Robin Hartshorne that systematically develops modern algebraic geometry using schemes and cohomology.
E. Moderne Algebra
Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
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.