Triple

T23265619
Position Surface form Disambiguated ID Type / Status
Subject tâtonnement process E588136 entity
Predicate relatedResult P96512 FINISHED
Object Arrow–Hurwicz stability analysis NE NERFINISHED

How this triple was built (3 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: Arrow–Hurwicz stability analysis | Statement: [tâtonnement process, relatedResult, Arrow–Hurwicz stability analysis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Arrow–Hurwicz stability analysis
Context triple: [tâtonnement process, relatedResult, Arrow–Hurwicz stability analysis]
  • A. Inners and Stability of Dynamic Systems
    "Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
  • B. The Computation of Economic Equilibria
    "The Computation of Economic Equilibria" is a seminal book in mathematical economics that develops algorithmic and computational methods for finding general equilibrium solutions in economic models.
  • C. Stability of Linear Systems
    "Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
  • D. Lyapunov stability theory
    Lyapunov stability theory is a fundamental framework in dynamical systems and control theory that uses energy-like functions to assess the stability of equilibrium points without explicitly solving differential equations.
  • E. Routh–Hurwitz stability criterion
    The Routh–Hurwitz stability criterion is a mathematical test in control theory that determines whether all roots of a system’s characteristic polynomial lie in the left half of the complex plane, ensuring system stability without explicitly computing the roots.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Arrow–Hurwicz stability analysis
Target entity description: Arrow–Hurwicz stability analysis is a foundational framework in mathematical economics that studies whether and how price adjustment processes converge to a general equilibrium.
  • A. Inners and Stability of Dynamic Systems
    "Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
  • B. The Computation of Economic Equilibria
    "The Computation of Economic Equilibria" is a seminal book in mathematical economics that develops algorithmic and computational methods for finding general equilibrium solutions in economic models.
  • C. Stability of Linear Systems
    "Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
  • D. Lyapunov stability theory
    Lyapunov stability theory is a fundamental framework in dynamical systems and control theory that uses energy-like functions to assess the stability of equilibrium points without explicitly solving differential equations.
  • E. Routh–Hurwitz stability criterion
    The Routh–Hurwitz stability criterion is a mathematical test in control theory that determines whether all roots of a system’s characteristic polynomial lie in the left half of the complex plane, ensuring system stability without explicitly computing the roots.
  • F. None of above. chosen

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_69e25d148adc819088efbf42672604e9 completed April 17, 2026, 4:17 p.m.
NER Named-entity recognition batch_69f194cc3b908190aaefd036aa2b52b5 completed April 29, 2026, 5:19 a.m.
Created at: April 17, 2026, 4:34 p.m.