Triple

T10026238
Position Surface form Disambiguated ID Type / Status
Subject Kirkwood approximation E200731 entity
Predicate relatedTo P37 FINISHED
Object Ornstein–Zernike equation
The Ornstein–Zernike equation is a fundamental relation in statistical mechanics that links the total and direct correlation functions of a fluid, forming the basis for many liquid-state theories and approximations.
E835194 NE FINISHED

How this triple was built (4 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: Ornstein–Zernike equation | Statement: [Kirkwood approximation, relatedTo, Ornstein–Zernike equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Ornstein–Zernike equation
Context triple: [Kirkwood approximation, relatedTo, Ornstein–Zernike equation]
  • A. Smoluchowski coagulation equation
    The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
  • B. Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy
    The Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy is a set of coupled equations in statistical mechanics that describes the time evolution of reduced distribution functions for many-particle systems.
  • C. Flory–Huggins solution theory
    Flory–Huggins solution theory is a thermodynamic model that describes the mixing behavior and phase separation of polymer solutions by accounting for the size difference between polymer chains and solvent molecules.
  • D. Debye–Hückel theory
    Debye–Hückel theory is a foundational model in physical chemistry that explains how electrostatic interactions between ions in solution affect properties such as activity coefficients and equilibrium behavior in electrolytes.
  • E. 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.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Ornstein–Zernike equation
Triple: [Kirkwood approximation, relatedTo, Ornstein–Zernike equation]
Generated description
The Ornstein–Zernike equation is a fundamental relation in statistical mechanics that links the total and direct correlation functions of a fluid, forming the basis for many liquid-state theories and approximations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Ornstein–Zernike equation
Target entity description: The Ornstein–Zernike equation is a fundamental relation in statistical mechanics that links the total and direct correlation functions of a fluid, forming the basis for many liquid-state theories and approximations.
  • A. Smoluchowski coagulation equation
    The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
  • B. Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy
    The Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy is a set of coupled equations in statistical mechanics that describes the time evolution of reduced distribution functions for many-particle systems.
  • C. Flory–Huggins solution theory
    Flory–Huggins solution theory is a thermodynamic model that describes the mixing behavior and phase separation of polymer solutions by accounting for the size difference between polymer chains and solvent molecules.
  • D. Debye–Hückel theory
    Debye–Hückel theory is a foundational model in physical chemistry that explains how electrostatic interactions between ions in solution affect properties such as activity coefficients and equilibrium behavior in electrolytes.
  • E. 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.
  • F. None of above. chosen

Provenance (5 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_69ca831c45f08190ac1505cc15076608 completed March 30, 2026, 2:05 p.m.
NER Named-entity recognition batch_69cdcde2009081908eddda7813617df4 completed April 2, 2026, 2:01 a.m.
NED1 Entity disambiguation (via context triple) batch_69d26ac2f14081908deaf3945491af78 completed April 5, 2026, 1:59 p.m.
NEDg Description generation batch_69d26b9212108190bb3cbb6c4c76073f completed April 5, 2026, 2:02 p.m.
NED2 Entity disambiguation (via description) batch_69d26c10eae88190a972fdb7425fd01a completed April 5, 2026, 2:05 p.m.
Created at: March 30, 2026, 8:54 p.m.