Triple

T18628564
Position Surface form Disambiguated ID Type / Status
Subject On a General Method in Dynamics E455349 entity
Predicate relatedTo P37 FINISHED
Object Hamilton–Jacobi theory — 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: Hamilton–Jacobi theory | Statement: [On a General Method in Dynamics, relatedTo, Hamilton–Jacobi theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Hamilton–Jacobi theory
Context triple: [On a General Method in Dynamics, relatedTo, Hamilton–Jacobi theory]
  • A. Hamilton–Jacobi equation chosen
    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.
  • B. Hamiltonian mechanics
    Hamiltonian mechanics is a reformulation of classical mechanics that describes physical systems in terms of generalized coordinates and conjugate momenta using a Hamiltonian function, providing a powerful framework for both classical and quantum physics.
  • C. Mathematical Methods of Classical Mechanics
    Mathematical Methods of Classical Mechanics is a highly influential textbook by Vladimir Arnold that presents classical mechanics using rigorous mathematical methods and modern geometric language.
  • D. mathematical foundations of mechanics
    The mathematical foundations of mechanics comprise the rigorous principles and equations, rooted in calculus and Newtonian laws, that describe and predict the motion and interaction of physical bodies.
  • E. Hamilton’s maximum principle
    Hamilton’s maximum principle is a fundamental analytical tool in geometric analysis that extends the classical maximum principle to tensor-valued quantities, playing a key role in studying the behavior of solutions to the Ricci flow and related geometric evolution equations.
  • 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_69d8d38cc7948190a55ea64e5638994e completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e54f063a1c819087e544c64f5cf80f completed April 19, 2026, 9:54 p.m.
Created at: April 10, 2026, 11:46 a.m.