Triple

T16574870
Position Surface form Disambiguated ID Type / Status
Subject Mikhail Gromov E402682 entity
Predicate notableWork P4 FINISHED
Object Partial Differential Relations
"Partial Differential Relations" is a seminal monograph by Mikhail Gromov that develops the h-principle and a geometric theory for solving broad classes of partial differential relations in differential topology and geometry.
E1221220 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: Partial Differential Relations | Statement: [Mikhail Gromov, notableWork, Partial Differential Relations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Partial Differential Relations
Context triple: [Mikhail Gromov, notableWork, Partial Differential Relations]
  • A. "Partial Differential Equations"
    "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.
  • B. Dolan–Grady relations
    The Dolan–Grady relations are algebraic commutation relations between two operators that generate the Onsager algebra and play a key role in the study of exactly solvable models in statistical mechanics.
  • C. PDE
    PDE is the state agency responsible for overseeing public education and related policies in Pennsylvania.
  • D. 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.
  • E. Cauchy–Riemann equations
    The Cauchy–Riemann equations are fundamental conditions in complex analysis that characterize when a complex-valued function is holomorphic (complex differentiable).
  • 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: Partial Differential Relations
Triple: [Mikhail Gromov, notableWork, Partial Differential Relations]
Generated description
"Partial Differential Relations" is a seminal monograph by Mikhail Gromov that develops the h-principle and a geometric theory for solving broad classes of partial differential relations in differential topology and geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Partial Differential Relations
Target entity description: "Partial Differential Relations" is a seminal monograph by Mikhail Gromov that develops the h-principle and a geometric theory for solving broad classes of partial differential relations in differential topology and geometry.
  • A. "Partial Differential Equations"
    "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.
  • B. Dolan–Grady relations
    The Dolan–Grady relations are algebraic commutation relations between two operators that generate the Onsager algebra and play a key role in the study of exactly solvable models in statistical mechanics.
  • C. PDE
    PDE is the state agency responsible for overseeing public education and related policies in Pennsylvania.
  • D. 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.
  • E. Cauchy–Riemann equations
    The Cauchy–Riemann equations are fundamental conditions in complex analysis that characterize when a complex-valued function is holomorphic (complex differentiable).
  • 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_69d88387363c8190a97a0c942130de97 completed April 10, 2026, 4:58 a.m.
NER Named-entity recognition batch_69e3595bbbbc8190b023f4872908c031 completed April 18, 2026, 10:13 a.m.
NED1 Entity disambiguation (via context triple) batch_6a006eea409c8190808170a0b3f4bd17 completed May 10, 2026, 11:41 a.m.
NEDg Description generation batch_6a006f7ca0dc8190a75d84d9ffbf83e0 completed May 10, 2026, 11:43 a.m.
NED2 Entity disambiguation (via description) batch_6a00705453c081909e8401024e92b5aa completed May 10, 2026, 11:47 a.m.
Created at: April 10, 2026, 5:16 a.m.