Triple

T13443944
Position Surface form Disambiguated ID Type / Status
Subject Kolmogorov–Arnold–Moser theory E320432 entity
Predicate field P3 FINISHED
Object Hamiltonian mechanics E300756 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: Hamiltonian mechanics | Statement: [Kolmogorov–Arnold–Moser theory, field, Hamiltonian mechanics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Hamiltonian mechanics
Context triple: [Kolmogorov–Arnold–Moser theory, field, Hamiltonian mechanics]
  • A. Hamiltonian mechanics chosen
    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.
  • B. Lagrangian mechanics
    Lagrangian mechanics is a reformulation of classical mechanics that uses energy-based principles and the calculus of variations to derive the equations of motion for physical systems.
  • C. 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.
  • D. Liouville's theorem in Hamiltonian mechanics
    Liouville's theorem in Hamiltonian mechanics states that the phase-space volume occupied by an ensemble of systems evolving under Hamiltonian dynamics is conserved over time, implying incompressible flow in phase space.
  • E. Structure and Interpretation of Classical Mechanics
    Structure and Interpretation of Classical Mechanics is a textbook that applies the conceptual and pedagogical style of SICP to advanced classical mechanics, emphasizing computational models and deep understanding of physical principles.
  • 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_69d80761e6cc8190a90c844589998ecc completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69dbaee881888190811ddf01bc699864 completed April 12, 2026, 2:40 p.m.
NED1 Entity disambiguation (via context triple) batch_69f739965ef081909e85881ce805bbb5 completed May 3, 2026, 12:03 p.m.
Created at: April 9, 2026, 9:40 p.m.