Triple
T412552
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Marian Smoluchowski |
E9520
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object |
Smoluchowski diffusion equation
The Smoluchowski diffusion equation is a fundamental partial differential equation in statistical physics that describes the time evolution of the probability density of diffusing particles under the influence of forces and thermal fluctuations.
|
E8633
|
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: Smoluchowski diffusion equation | Statement: [Marian Smoluchowski, knownFor, Smoluchowski diffusion equation]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Smoluchowski diffusion equation Context triple: [Marian Smoluchowski, knownFor, Smoluchowski diffusion 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.
Fokker–Planck equation
The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
-
C.
Brownian motion
Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
-
D.
Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
-
E.
Stokes–Einstein relation
The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.
- 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: Smoluchowski diffusion equation Triple: [Marian Smoluchowski, knownFor, Smoluchowski diffusion equation]
Generated description
The Smoluchowski diffusion equation is a fundamental partial differential equation in statistical physics that describes the time evolution of the probability density of diffusing particles under the influence of forces and thermal fluctuations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Smoluchowski diffusion equation Target entity description: The Smoluchowski diffusion equation is a fundamental partial differential equation in statistical physics that describes the time evolution of the probability density of diffusing particles under the influence of forces and thermal fluctuations.
-
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.
Fokker–Planck equation
chosen
The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
-
C.
Brownian motion
Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
-
D.
Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
-
E.
Stokes–Einstein relation
The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.
- F. None of above.
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_69a2e80111fc8190961d5b7c6154123f |
completed | Feb. 28, 2026, 1:05 p.m. |
| NER | Named-entity recognition | batch_69a2ecdafa2481908111accc918ff2e8 |
completed | Feb. 28, 2026, 1:25 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69a42541cbe88190a35797797c17f3a1 |
completed | March 1, 2026, 11:38 a.m. |
| NEDg | Description generation | batch_69a425ea176c8190a4f8197d779cbc94 |
completed | March 1, 2026, 11:41 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69a42636b9cc8190a7bf2b16ef3f2a33 |
completed | March 1, 2026, 11:42 a.m. |
Created at: Feb. 28, 2026, 1:09 p.m.