Triple

T11970332
Position Surface form Disambiguated ID Type / Status
Subject Karen E. Smith E284901 entity
Predicate notableWork P4 FINISHED
Object textbook "An Invitation to Algebraic Geometry"
"An Invitation to Algebraic Geometry" is an introductory textbook that presents the fundamental concepts and techniques of modern algebraic geometry in an accessible and intuitive way.
E956411 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: textbook "An Invitation to Algebraic Geometry" | Statement: [Karen E. Smith, notableWork, textbook "An Invitation to Algebraic Geometry"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: textbook "An Invitation to Algebraic Geometry"
Context triple: [Karen E. Smith, notableWork, textbook "An Invitation to Algebraic Geometry"]
  • A. 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.
  • B. 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.
  • C. A Shorter Course in Algebra
    A Shorter Course in Algebra is a concise algebra textbook authored by Confederate general and educator D. H. Hill for use in 19th-century American schools.
  • D. Foundations of Algebraic Geometry
    Foundations of Algebraic Geometry is a landmark mathematical treatise that systematically developed the modern foundations of algebraic geometry and profoundly influenced the field’s subsequent evolution.
  • E. Chevalley’s theorem in algebraic geometry
    Chevalley’s theorem in algebraic geometry is a fundamental result stating that the image of a morphism of finite type between schemes (or varieties) is a constructible set, playing a key role in understanding how geometric properties behave under mappings.
  • 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: textbook "An Invitation to Algebraic Geometry"
Triple: [Karen E. Smith, notableWork, textbook "An Invitation to Algebraic Geometry"]
Generated description
"An Invitation to Algebraic Geometry" is an introductory textbook that presents the fundamental concepts and techniques of modern algebraic geometry in an accessible and intuitive way.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: textbook "An Invitation to Algebraic Geometry"
Target entity description: "An Invitation to Algebraic Geometry" is an introductory textbook that presents the fundamental concepts and techniques of modern algebraic geometry in an accessible and intuitive way.
  • A. 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.
  • B. 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.
  • C. A Shorter Course in Algebra
    A Shorter Course in Algebra is a concise algebra textbook authored by Confederate general and educator D. H. Hill for use in 19th-century American schools.
  • D. Foundations of Algebraic Geometry
    Foundations of Algebraic Geometry is a landmark mathematical treatise that systematically developed the modern foundations of algebraic geometry and profoundly influenced the field’s subsequent evolution.
  • E. Chevalley’s theorem in algebraic geometry
    Chevalley’s theorem in algebraic geometry is a fundamental result stating that the image of a morphism of finite type between schemes (or varieties) is a constructible set, playing a key role in understanding how geometric properties behave under mappings.
  • 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_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9037bee54819085242a3ef3e286f9 completed April 10, 2026, 2:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69f459691ff0819099282172933d2d81 completed May 1, 2026, 7:42 a.m.
NEDg Description generation batch_69f4645ef63881909b46937f73d637a3 completed May 1, 2026, 8:29 a.m.
NED2 Entity disambiguation (via description) batch_69f465be4db08190882898a17d077019 completed May 1, 2026, 8:35 a.m.
Created at: April 8, 2026, 9:46 p.m.