Triple

T3044268
Position Surface form Disambiguated ID Type / Status
Subject Karush–Kuhn–Tucker conditions E83405 entity
Predicate relatedTo P37 FINISHED
Object Fritz John conditions E256919 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: Fritz John conditions | Statement: [Karush–Kuhn–Tucker conditions, relatedTo, Fritz John conditions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Fritz John conditions
Context triple: [Karush–Kuhn–Tucker conditions, relatedTo, Fritz John conditions]
  • A. Karush–Kuhn–Tucker conditions
    The Karush–Kuhn–Tucker conditions are fundamental optimality criteria in nonlinear programming that generalize Lagrange multipliers to handle inequality constraints.
  • B. Fritz John chosen
    Fritz John was a German-American mathematician renowned for his contributions to partial differential equations, calculus of variations, and functional analysis.
  • C. Courant–Friedrichs–Lewy condition
    The Courant–Friedrichs–Lewy condition is a fundamental stability criterion in numerical analysis that restricts the time step size in discretized partial differential equations to ensure convergence of the computed solution.
  • D. Hessian forces
    Hessian forces were German auxiliary troops hired by the British Crown during the American Revolutionary War, known for their disciplined fighting and prominent role in key battles such as Trenton.
  • E. Grothendieck inequality
    The Grothendieck inequality is a fundamental result in functional analysis and theoretical computer science that bounds certain bilinear forms and has deep implications for Banach space theory, operator theory, and approximation algorithms.
  • 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_69ad8b24924c8190a9bb6f61d519e4ae completed March 8, 2026, 2:43 p.m.
NER Named-entity recognition batch_69ad9b5ec5988190b8b6c95c743c6d1e completed March 8, 2026, 3:53 p.m.
NED1 Entity disambiguation (via context triple) batch_69b1ded35e008190be7dd72aa7537a3b completed March 11, 2026, 9:29 p.m.
Created at: March 8, 2026, 3:01 p.m.