Triple
T7251351
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poincaré–Birkhoff fixed-point theorem |
E157608
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | George David Birkhoff |
E643822
|
NE FINISHED |
How this triple was built (2 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: George David Birkhoff | Statement: [Poincaré–Birkhoff fixed-point theorem, namedAfter, George David Birkhoff]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: George David Birkhoff Context triple: [Poincaré–Birkhoff fixed-point theorem, namedAfter, George David Birkhoff]
-
A.
George David Birkhoff
chosen
George David Birkhoff was an influential American mathematician best known for his work in dynamical systems and for formulating the ergodic theorem.
-
B.
Garrett Birkhoff
Garrett Birkhoff was an American mathematician best known for his foundational work in lattice theory and abstract 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.
Oswald Veblen
Oswald Veblen was an American mathematician known for his foundational work in topology and geometry and for helping to shape the early development of the Institute for Advanced Study.
-
E.
E. H. Moore
E. H. Moore was an influential American mathematician known for his work in abstract algebra and for helping to shape the development of modern mathematical research in the United States.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69c6882d81d4819085f7ff862951ee4f |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6ea791fec8190aee56ab4503770be |
completed | March 27, 2026, 8:37 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c7d3a7502081909d2a97a60cc445ae |
completed | March 28, 2026, 1:12 p.m. |
Created at: March 27, 2026, 2:56 p.m.