Triple
T1056931
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Brouwer fixed-point theorem |
E22815
|
entity |
| Predicate | proposedBy |
P32
|
FINISHED |
| Object | L. E. J. Brouwer |
E100235
|
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: L. E. J. Brouwer | Statement: [Brouwer fixed-point theorem, proposedBy, L. E. J. Brouwer]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: L. E. J. Brouwer Context triple: [Brouwer fixed-point theorem, proposedBy, L. E. J. Brouwer]
-
A.
Luitzen Egbertus Jan Brouwer
chosen
Luitzen Egbertus Jan Brouwer was a Dutch mathematician and philosopher best known as the founder of intuitionism, a major school in the philosophy of mathematics that challenged classical logic and set theory.
-
B.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
-
C.
David Hilbert
David Hilbert was a pioneering German mathematician whose foundational work in fields such as invariant theory, axiomatic systems, and functional analysis profoundly shaped modern mathematics.
-
D.
Ernst Zermelo
Ernst Zermelo was a German mathematician best known for formulating Zermelo set theory and proving the well-ordering theorem, foundational results in modern set theory and mathematical logic.
-
E.
Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
- 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_69a493dada0481909c43649f9843ea91 |
completed | March 1, 2026, 7:30 p.m. |
| NER | Named-entity recognition | batch_69a4b8da80dc8190b79beaf509910725 |
completed | March 1, 2026, 10:08 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ac429f0580819082d5a2cc6129cb1e |
completed | March 7, 2026, 3:22 p.m. |
Created at: March 1, 2026, 7:42 p.m.