Triple

T7871744
Position Surface form Disambiguated ID Type / Status
Subject Hamilton–Jacobi equation E182751 entity
Predicate influenced P9 FINISHED
Object Feynman path integral formulation E21993 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: Feynman path integral formulation | Statement: [Hamilton–Jacobi equation, influenced, Feynman path integral formulation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Feynman path integral formulation
Context triple: [Hamilton–Jacobi equation, influenced, Feynman path integral formulation]
  • A. Feynman path integral chosen
    The Feynman path integral is a formulation of quantum mechanics in which a particle’s behavior is described as a sum over all possible paths it can take, each weighted by a phase factor derived from the classical action.
  • B. Feynman checkerboard model
    The Feynman checkerboard model is a path-integral-based lattice model introduced by Richard Feynman to illustrate and derive the behavior of relativistic quantum particles, particularly the Dirac equation in one spatial dimension.
  • C. Schrödinger formulation of quantum mechanics
    The Schrödinger formulation of quantum mechanics is the standard wave-mechanics approach in which the state of a quantum system evolves in time according to the Schrödinger equation acting on wavefunctions in Hilbert space.
  • D. Monnet method of functional integration
    The Monnet method of functional integration is a gradual, pragmatic approach to European unification that advances political integration through concrete economic and technical cooperation between states.
  • E. Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED
    Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED is a landmark theoretical result that rigorously demonstrated the mathematical consistency and mutual compatibility of different approaches to quantum electrodynamics.
  • 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_69ca82894d9081908a832bfce71a4714 completed March 30, 2026, 2:02 p.m.
NER Named-entity recognition batch_69cb39a5950481908399211c5dfe2569 completed March 31, 2026, 3:04 a.m.
NED1 Entity disambiguation (via context triple) batch_69cb5b6bc7248190adbf4377c52e16a9 completed March 31, 2026, 5:28 a.m.
Created at: March 30, 2026, 4:56 p.m.