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.