Triple
T7685049
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lev Pontryagin |
E174094
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Ordinary Differential Equations
Ordinary Differential Equations is a classic mathematical text that systematically develops the theory and methods for solving differential equations involving functions of a single variable, widely used in advanced undergraduate and graduate studies.
|
E681630
|
NE FINISHED |
How this triple was built (4 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: Ordinary Differential Equations | Statement: [Lev Pontryagin, notableWork, Ordinary Differential Equations]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Ordinary Differential Equations Context triple: [Lev Pontryagin, notableWork, Ordinary Differential Equations]
-
A.
ODE
ODE is the state agency responsible for overseeing public education and implementing education policy in Oregon.
-
B.
Linear Differential Equations and Their Applications
"Linear Differential Equations and Their Applications" is a classic mathematical text by Maxime Bôcher that systematically develops the theory of linear differential equations and demonstrates their use in solving applied problems.
-
C.
Bernoulli differential equations
Bernoulli differential equations are a class of first-order nonlinear differential equations that can be transformed into linear form and are fundamental in the study of ordinary differential equations.
-
D.
Riccati equation
A Riccati equation is a type of nonlinear differential or difference equation, often quadratic in the unknown function, that plays a central role in control theory, filtering, and various areas of applied mathematics.
-
E.
Cauchy problem
The Cauchy problem is a fundamental type of initial value problem in partial differential equations, where one seeks a solution satisfying prescribed data on a given initial surface.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Ordinary Differential Equations Triple: [Lev Pontryagin, notableWork, Ordinary Differential Equations]
Generated description
Ordinary Differential Equations is a classic mathematical text that systematically develops the theory and methods for solving differential equations involving functions of a single variable, widely used in advanced undergraduate and graduate studies.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Ordinary Differential Equations Target entity description: Ordinary Differential Equations is a classic mathematical text that systematically develops the theory and methods for solving differential equations involving functions of a single variable, widely used in advanced undergraduate and graduate studies.
-
A.
ODE
ODE is the state agency responsible for overseeing public education and implementing education policy in Oregon.
-
B.
Linear Differential Equations and Their Applications
"Linear Differential Equations and Their Applications" is a classic mathematical text by Maxime Bôcher that systematically develops the theory of linear differential equations and demonstrates their use in solving applied problems.
-
C.
Bernoulli differential equations
Bernoulli differential equations are a class of first-order nonlinear differential equations that can be transformed into linear form and are fundamental in the study of ordinary differential equations.
-
D.
Riccati equation
A Riccati equation is a type of nonlinear differential or difference equation, often quadratic in the unknown function, that plays a central role in control theory, filtering, and various areas of applied mathematics.
-
E.
Cauchy problem
The Cauchy problem is a fundamental type of initial value problem in partial differential equations, where one seeks a solution satisfying prescribed data on a given initial surface.
- F. None of above. chosen
Provenance (5 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_69c6995840408190a19de6c51090f46f |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c7022118908190a3a93cfda79be0a4 |
completed | March 27, 2026, 10:18 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c8a25c2a308190908ffdd2f0b7262f |
completed | March 29, 2026, 3:54 a.m. |
| NEDg | Description generation | batch_69c8a37c995881908c71791c6cc002f3 |
completed | March 29, 2026, 3:58 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c8a3fe63a4819086bcb5f80cdbd30b |
completed | March 29, 2026, 4:01 a.m. |
Created at: March 27, 2026, 4:02 p.m.