Triple
T7059208
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Garrett Birkhoff |
E164171
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Universal Algebra
Universal Algebra is a foundational mathematical text that systematically studies algebraic structures in a unified, abstract framework.
|
E637941
|
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: Universal Algebra | Statement: [Garrett Birkhoff, notableWork, Universal Algebra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Universal Algebra Context triple: [Garrett Birkhoff, notableWork, Universal Algebra]
-
A.
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.
-
B.
Kleene algebra
Kleene algebra is an algebraic structure used to model and reason about regular expressions, program control flow, and formal languages through operations like choice, sequencing, and iteration.
-
C.
Theory of Groups
Theory of Groups is a foundational textbook in abstract algebra that systematically develops the theory of groups and has been widely used for advanced mathematical study and research.
-
D.
Abelian groups
Abelian groups are algebraic structures in which the group operation is commutative, meaning the order of combining elements does not affect the result.
-
E.
Hilbert-style deductive systems
Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
- 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: Universal Algebra Triple: [Garrett Birkhoff, notableWork, Universal Algebra]
Generated description
Universal Algebra is a foundational mathematical text that systematically studies algebraic structures in a unified, abstract framework.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Universal Algebra Target entity description: Universal Algebra is a foundational mathematical text that systematically studies algebraic structures in a unified, abstract framework.
-
A.
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.
-
B.
Kleene algebra
Kleene algebra is an algebraic structure used to model and reason about regular expressions, program control flow, and formal languages through operations like choice, sequencing, and iteration.
-
C.
Theory of Groups
Theory of Groups is a foundational textbook in abstract algebra that systematically develops the theory of groups and has been widely used for advanced mathematical study and research.
-
D.
Abelian groups
Abelian groups are algebraic structures in which the group operation is commutative, meaning the order of combining elements does not affect the result.
-
E.
Hilbert-style deductive systems
Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
- 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_69c68861678881909961ddf4d779f750 |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6e26b2acc8190b212ec77b74c419f |
completed | March 27, 2026, 8:02 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c788a8c4b481908193ffc795b75796 |
completed | March 28, 2026, 7:52 a.m. |
| NEDg | Description generation | batch_69c789a4a38c8190aee4beecf7c75d48 |
completed | March 28, 2026, 7:56 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c78a11266081908dc24f62ae3fd118 |
completed | March 28, 2026, 7:58 a.m. |
Created at: March 27, 2026, 2:38 p.m.