Triple
T1057129
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | inverse function theorem |
E22819
|
entity |
| Predicate | historicallyAssociatedWith |
P2830
|
FINISHED |
| Object | Bernhard Riemann |
E8325
|
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: Bernhard Riemann | Statement: [inverse function theorem, historicallyAssociatedWith, Bernhard Riemann]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Bernhard Riemann Context triple: [inverse function theorem, historicallyAssociatedWith, Bernhard Riemann]
-
A.
Bernhard Riemann
chosen
Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
-
B.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
-
C.
Peter Gustav Lejeune Dirichlet
Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
-
D.
Felix Klein
Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
-
E.
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.
- 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_69ac6f0a15e48190a011c4aff5c285af |
completed | March 7, 2026, 6:31 p.m. |
Created at: March 1, 2026, 7:42 p.m.