Triple
T18964985
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Carl Neumann |
E464010
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object | Neumann series |
—
|
NE NERFINISHED |
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: Neumann series | Statement: [Carl Neumann, knownFor, Neumann series]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Neumann series Context triple: [Carl Neumann, knownFor, Neumann series]
-
A.
Neumann series
chosen
The Neumann series is an infinite series expansion used to represent the inverse of an operator or solve integral and differential equations, analogous to a geometric series in functional analysis.
-
B.
Hahn series
Hahn series are formal power series with exponents in an ordered abelian group and well-ordered supports, providing a general framework for constructing large ordered fields that include structures like the surreal numbers.
-
C.
Cesàro summation
Cesàro summation is a method of assigning finite values to certain divergent series by averaging their partial sums.
-
D.
Picard iteration
Picard iteration is a successive approximation method used to construct solutions to ordinary differential equations and establish their existence and uniqueness.
-
E.
Taylor series
A Taylor series is an infinite sum of terms calculated from the derivatives of a function at a single point, used to represent and approximate functions as power series.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69d8dcffc278819086792a4ebfddfafa |
completed | April 10, 2026, 11:20 a.m. |
| NER | Named-entity recognition | batch_69e5d5d5365881909dcbb4988d273b24 |
completed | April 20, 2026, 7:29 a.m. |
Created at: April 10, 2026, noon