Triple
T20265563
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Avner Friedman |
E498957
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object | Partial Differential Equations of Parabolic Type |
—
|
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: Partial Differential Equations of Parabolic Type | Statement: [Avner Friedman, notableWork, Partial Differential Equations of Parabolic Type]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Partial Differential Equations of Parabolic Type Context triple: [Avner Friedman, notableWork, Partial Differential Equations of Parabolic Type]
-
A.
Lectures on Cauchy’s problem in linear partial differential equations
"Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
-
B.
Lectures on Partial Differential Equations
"Lectures on Partial Differential Equations" is a concise, influential textbook by Vladimir Arnold that presents the theory of partial differential equations with a strong geometric and intuitive emphasis.
-
C.
Agmon–Douglis–Nirenberg estimates
Agmon–Douglis–Nirenberg estimates are fundamental a priori estimates in the theory of linear elliptic partial differential equations and systems, providing precise control of solution regularity in terms of data norms.
-
D.
"Partial Differential Equations"
chosen
"Partial Differential Equations" is a foundational mathematical text that systematically develops the theory and methods for analyzing equations involving multivariable functions and their partial derivatives.
-
E.
Methods of Mathematical Physics
Methods of Mathematical Physics is a classic textbook that systematically develops the mathematical techniques used in theoretical physics, co-authored by Harold Jeffreys.
- 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_69da6275fa6c8190952924930adee150 |
completed | April 11, 2026, 3:02 p.m. |
| NER | Named-entity recognition | batch_69e674cf3d648190a0b0a7795045228a |
completed | April 20, 2026, 6:47 p.m. |
Created at: April 11, 2026, 11:41 p.m.