Triple

T11205607
Position Surface form Disambiguated ID Type / Status
Subject Yang–Yang equation E265150 entity
Predicate relatedTo P37 FINISHED
Object Lieb–Liniger equations E368994 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: Lieb–Liniger equations | Statement: [Yang–Yang equation, relatedTo, Lieb–Liniger equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lieb–Liniger equations
Context triple: [Yang–Yang equation, relatedTo, Lieb–Liniger equations]
  • A. Lieb–Liniger model chosen
    The Lieb–Liniger model is an exactly solvable quantum many-body system describing one-dimensional bosons with delta-function interactions, fundamental in the study of integrable systems and quantum gases.
  • B. Gross–Pitaevskii equation
    The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
  • C. Bogoliubov theory of weakly interacting Bose gases
    Bogoliubov theory of weakly interacting Bose gases is a foundational quantum many-body framework that explains the excitation spectrum and collective behavior of dilute Bose–Einstein condensates by treating interactions as small perturbations around a condensed ground state.
  • D. Bhabha–Corben equations
    The Bhabha–Corben equations are relativistic wave equations in quantum electrodynamics that describe the dynamics of spinning charged particles, developed by physicists Homi J. Bhabha and H. C. Corben.
  • E. Bethe ansatz
    The Bethe ansatz is a powerful method in theoretical physics for exactly solving certain one-dimensional quantum many-body systems by reducing them to algebraic equations for particle momenta.
  • 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_69d6aa9eb9248190b20211772621b4bc completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d7e8d4eef88190a7f05bca82d919b9 completed April 9, 2026, 5:58 p.m.
NED1 Entity disambiguation (via context triple) batch_69e4ad0984e08190af9c8263cc2a079d completed April 19, 2026, 10:23 a.m.
Created at: April 8, 2026, 9:30 p.m.