Triple

T29968983
Position Surface form Disambiguated ID Type / Status
Subject Hilbert’s nineteenth problem E761265 entity
Predicate typicalFormulationUses P11801 FINISHED
Object Euler–Lagrange equations E54267 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: Euler–Lagrange equations | Statement: [Hilbert’s nineteenth problem, typicalFormulationUses, Euler–Lagrange equations]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: typicalFormulationUses
Context triple: [Hilbert’s nineteenth problem, typicalFormulationUses, Euler–Lagrange equations]
  • A. isFormulatedUsing
    Indicates that something is created, defined, or expressed by means of a specified method, material, or set of components.
  • B. formalizationUses
    Indicates that one formalization or formal system makes use of, depends on, or incorporates another resource, method, or framework in its construction or application.
  • C. exampleFormulation
    Indicates that one entity serves as a representative or illustrative formulation or expression of another entity.
  • D. widelyUsedIn chosen
    Indicates that something is commonly or extensively utilized within a particular context, domain, or group.
  • E. formulatedIn
    Indicates that something was created, developed, or expressed within a particular context, place, or framework.
  • F. None of above.

Provenance (4 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_69f22467626081908d5afea489590e96 completed April 29, 2026, 3:31 p.m.
NER Named-entity recognition batch_6a031e24299c81908dcbbf1b88f43dfd completed May 12, 2026, 12:33 p.m.
NED1 Entity disambiguation (via context triple) batch_6a2721f5b47481908f1d4402a260fe77 completed June 8, 2026, 8:11 p.m.
PD Predicate disambiguation batch_6a031ce232a48190b62bca3e94162f2f completed May 12, 2026, 12:28 p.m.
Created at: April 29, 2026, 6:31 p.m.