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.