Triple
T1382997
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Saunders Mac Lane |
E29380
|
entity |
| Predicate | coAuthor |
P398
|
FINISHED |
| Object |
Garrett Birkhoff
Garrett Birkhoff was an American mathematician best known for his foundational work in lattice theory and abstract algebra.
|
E164171
|
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: Garrett Birkhoff | Statement: [Saunders Mac Lane, coAuthor, Garrett Birkhoff]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Garrett Birkhoff Context triple: [Saunders Mac Lane, coAuthor, Garrett Birkhoff]
-
A.
Saunders Mac Lane
Saunders Mac Lane was an American mathematician best known as a co-founder of category theory and for his influential work in algebra and homological algebra.
-
B.
Samuel Eilenberg
Samuel Eilenberg was a Polish-American mathematician renowned for his foundational work in algebraic topology and category theory, including the development of Eilenberg–MacLane spaces and homological algebra.
-
C.
Solomon Lefschetz
Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point theory.
-
D.
Hassler Whitney
Hassler Whitney was an influential American mathematician known for foundational contributions to differential topology and geometry, including work on manifolds, embeddings, and singularities.
-
E.
Gian-Carlo Rota
Gian-Carlo Rota was an influential Italian-American mathematician and philosopher best known for his foundational work in combinatorics and probability, as well as his impactful essays on the philosophy 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: Garrett Birkhoff Triple: [Saunders Mac Lane, coAuthor, Garrett Birkhoff]
Generated description
Garrett Birkhoff was an American mathematician best known for his foundational work in lattice theory and abstract algebra.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Garrett Birkhoff Target entity description: Garrett Birkhoff was an American mathematician best known for his foundational work in lattice theory and abstract algebra.
-
A.
Saunders Mac Lane
Saunders Mac Lane was an American mathematician best known as a co-founder of category theory and for his influential work in algebra and homological algebra.
-
B.
Samuel Eilenberg
Samuel Eilenberg was a Polish-American mathematician renowned for his foundational work in algebraic topology and category theory, including the development of Eilenberg–MacLane spaces and homological algebra.
-
C.
Solomon Lefschetz
Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point theory.
-
D.
Hassler Whitney
Hassler Whitney was an influential American mathematician known for foundational contributions to differential topology and geometry, including work on manifolds, embeddings, and singularities.
-
E.
Gian-Carlo Rota
Gian-Carlo Rota was an influential Italian-American mathematician and philosopher best known for his foundational work in combinatorics and probability, as well as his impactful essays on the philosophy 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_69a498d883a48190bfdca525296ef7ee |
completed | March 1, 2026, 7:51 p.m. |
| NER | Named-entity recognition | batch_69a4c3361bf08190b3f6bbf82e17685b |
completed | March 1, 2026, 10:52 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ad0153f1648190abd63beadfb6709b |
completed | March 8, 2026, 4:55 a.m. |
| NEDg | Description generation | batch_69ad01deec588190b33efd988e0db5d2 |
completed | March 8, 2026, 4:58 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69ad024e077c8190b0ef48ac7042ac5b |
completed | March 8, 2026, 4:59 a.m. |
Created at: March 1, 2026, 7:59 p.m.