Triple
T5273873
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | topological quantum field theory |
E119326
|
entity |
| Predicate | usedIn |
P98
|
FINISHED |
| Object |
category theory
Category theory is a branch of mathematics that studies abstract structures and relationships between them using the language of objects and morphisms, providing a unifying framework across many areas of math and theoretical computer science.
|
E508538
|
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: category theory | Statement: [topological quantum field theory, usedIn, category theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: category theory Context triple: [topological quantum field theory, usedIn, category theory]
-
A.
Grothendieck category
A Grothendieck category is an abelian category with exact filtered colimits and a generator, providing a highly general framework that extends the properties of module and sheaf categories in homological algebra.
-
B.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
-
C.
Grothendieck topology
A Grothendieck topology is an abstract framework in category theory that generalizes the notion of open covers in topology to define sheaves on arbitrary categories.
-
D.
Grothendieck universe
A Grothendieck universe is a set-theoretic construct large enough to contain all the usual objects and operations of mathematics, used to rigorously handle "large" categories while avoiding paradoxes.
-
E.
Sheaves in Geometry and Logic
Sheaves in Geometry and Logic is a foundational monograph that develops the theory of sheaves and topos theory and explores their deep connections to geometry, logic, and the foundations of mathematics.
- 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: category theory Triple: [topological quantum field theory, usedIn, category theory]
Generated description
Category theory is a branch of mathematics that studies abstract structures and relationships between them using the language of objects and morphisms, providing a unifying framework across many areas of math and theoretical computer science.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: category theory Target entity description: Category theory is a branch of mathematics that studies abstract structures and relationships between them using the language of objects and morphisms, providing a unifying framework across many areas of math and theoretical computer science.
-
A.
Grothendieck category
A Grothendieck category is an abelian category with exact filtered colimits and a generator, providing a highly general framework that extends the properties of module and sheaf categories in homological algebra.
-
B.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
-
C.
Grothendieck topology
A Grothendieck topology is an abstract framework in category theory that generalizes the notion of open covers in topology to define sheaves on arbitrary categories.
-
D.
Grothendieck universe
A Grothendieck universe is a set-theoretic construct large enough to contain all the usual objects and operations of mathematics, used to rigorously handle "large" categories while avoiding paradoxes.
-
E.
Sheaves in Geometry and Logic
Sheaves in Geometry and Logic is a foundational monograph that develops the theory of sheaves and topos theory and explores their deep connections to geometry, logic, and the foundations of mathematics.
- 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_69bd446c38e081908cdaf113bdf86790 |
completed | March 20, 2026, 12:58 p.m. |
| NER | Named-entity recognition | batch_69bd7c22a29081908a022847e61af8a9 |
completed | March 20, 2026, 4:56 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bf06d1f874819098a9b99f8bb9f654 |
completed | March 21, 2026, 9 p.m. |
| NEDg | Description generation | batch_69bf098637148190ab999486de995ee4 |
completed | March 21, 2026, 9:11 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69bf0a1675b8819084024aa2a99ec843 |
completed | March 21, 2026, 9:13 p.m. |
Created at: March 20, 2026, 1:51 p.m.