Triple

T6293430
Position Surface form Disambiguated ID Type / Status
Subject Johann Bernoulli E141073 entity
Predicate knownFor P22 FINISHED
Object brachistochrone problem E270049 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: brachistochrone problem | Statement: [Johann Bernoulli, knownFor, brachistochrone problem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: brachistochrone problem
Context triple: [Johann Bernoulli, knownFor, brachistochrone problem]
  • A. brachistochrone problem chosen
    The brachistochrone problem is a famous challenge in the calculus of variations that asks for the curve along which a particle will descend between two points in the shortest time under gravity, whose solution is a cycloid.
  • B. Euler–Lagrange equation
    The Euler–Lagrange equation is a fundamental differential equation in the calculus of variations that provides the condition for a function to make a functional stationary, forming the basis of Lagrangian mechanics and many physical theories.
  • C. Hamilton–Jacobi equation
    The Hamilton–Jacobi equation is a fundamental partial differential equation in classical mechanics that reformulates dynamics in terms of a generating function, providing a powerful bridge to quantum mechanics and modern analytical methods.
  • D. Fermat’s principle of least time
    Fermat’s principle of least time is a fundamental variational principle in optics stating that light follows the path that takes the least time, from which many laws of geometrical optics can be derived.
  • E. principle of least action
    The principle of least action is a fundamental concept in physics stating that the path taken by a physical system between two states is the one for which a specific quantity called the action is minimized (or made stationary), forming the basis of Lagrangian and Hamiltonian mechanics.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69c008cdf2ac8190bb640c94478fb4ed completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c0642017588190b6c99c685653f6c2 completed March 22, 2026, 9:50 p.m.
NED1 Entity disambiguation (via context triple) batch_69c51988f1388190b36212b0d9756863 completed March 26, 2026, 11:33 a.m.
Created at: March 22, 2026, 4:27 p.m.