Triple

T12071207
Position Surface form Disambiguated ID Type / Status
Subject Zermelo recurrence objection E287425 entity
Predicate usesConcept P531 FINISHED
Object Hamiltonian dynamics 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 dynamics | Statement: [Zermelo recurrence objection, usesConcept, Hamiltonian dynamics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Hamiltonian dynamics
Context triple: [Zermelo recurrence objection, usesConcept, Hamiltonian dynamics]
  • 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. 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.
  • C. 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.
  • D. 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.
  • 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_69d6ab4846e081908ee7bbd66a6d3459 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9045a507081909070ea37173d6f97 completed April 10, 2026, 2:08 p.m.
NED1 Entity disambiguation (via context triple) batch_69f5f65ccc788190942e16c56f2a495f completed May 2, 2026, 1:04 p.m.
Created at: April 8, 2026, 9:48 p.m.