Triple

T17040826
Position Surface form Disambiguated ID Type / Status
Subject John Crank E413441 entity
Predicate notableWork P4 FINISHED
Object The Mathematics of Diffusion
The Mathematics of Diffusion is a classic scientific monograph by John Crank that rigorously develops the theory and mathematical methods for analyzing diffusion processes in physics, chemistry, and engineering.
E1247500 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: The Mathematics of Diffusion | Statement: [John Crank, notableWork, The Mathematics of Diffusion]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: The Mathematics of Diffusion
Context triple: [John Crank, notableWork, The Mathematics of Diffusion]
  • A. Fick's first law of diffusion
    Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
  • B. Krogh model of capillary diffusion
    The Krogh model of capillary diffusion is a classic physiological model that describes how oxygen diffuses from capillaries into surrounding tissue, forming the basis for quantitative analysis of microcirculatory oxygen transport.
  • C. "Partial Differential Equations"
    "Partial Differential Equations" is a foundational mathematical text that systematically develops the theory and methods for analyzing equations involving multivariable functions and their partial derivatives.
  • D. "Continuous Markov Processes and Stochastic Equations"
    "Continuous Markov Processes and Stochastic Equations" is a foundational mathematical work that rigorously develops the theory of continuous-time Markov processes and their representation via stochastic differential equations.
  • E. Cahn–Hilliard equation
    The Cahn–Hilliard equation is a nonlinear partial differential equation that models phase separation and coarsening in binary mixtures and other systems undergoing spinodal decomposition.
  • 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: The Mathematics of Diffusion
Triple: [John Crank, notableWork, The Mathematics of Diffusion]
Generated description
The Mathematics of Diffusion is a classic scientific monograph by John Crank that rigorously develops the theory and mathematical methods for analyzing diffusion processes in physics, chemistry, and engineering.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: The Mathematics of Diffusion
Target entity description: The Mathematics of Diffusion is a classic scientific monograph by John Crank that rigorously develops the theory and mathematical methods for analyzing diffusion processes in physics, chemistry, and engineering.
  • A. Fick's first law of diffusion
    Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
  • B. Krogh model of capillary diffusion
    The Krogh model of capillary diffusion is a classic physiological model that describes how oxygen diffuses from capillaries into surrounding tissue, forming the basis for quantitative analysis of microcirculatory oxygen transport.
  • C. "Partial Differential Equations"
    "Partial Differential Equations" is a foundational mathematical text that systematically develops the theory and methods for analyzing equations involving multivariable functions and their partial derivatives.
  • D. "Continuous Markov Processes and Stochastic Equations"
    "Continuous Markov Processes and Stochastic Equations" is a foundational mathematical work that rigorously develops the theory of continuous-time Markov processes and their representation via stochastic differential equations.
  • E. Cahn–Hilliard equation
    The Cahn–Hilliard equation is a nonlinear partial differential equation that models phase separation and coarsening in binary mixtures and other systems undergoing spinodal decomposition.
  • 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_69d886cd18288190b006abab23f811b7 completed April 10, 2026, 5:12 a.m.
NER Named-entity recognition batch_69e3d8f6a0c08190a838279b83b55b72 completed April 18, 2026, 7:18 p.m.
NED1 Entity disambiguation (via context triple) batch_6a012338a95c8190951db96209edb61a completed May 11, 2026, 12:30 a.m.
NEDg Description generation batch_6a01241510048190ae1c459873f8a587 completed May 11, 2026, 12:34 a.m.
NED2 Entity disambiguation (via description) batch_6a0124e389908190b2ee3121be2c9383 completed May 11, 2026, 12:37 a.m.
Created at: April 10, 2026, 5:33 a.m.