Triple

T2789331
Position Surface form Disambiguated ID Type / Status
Subject Josef Stefan E61890 entity
Predicate knownFor P22 FINISHED
Object Stefan problem
The Stefan problem is a classical mathematical model in heat transfer that describes how phase-change boundaries, such as the interface between ice and water, move over time.
E298871 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: Stefan problem | Statement: [Josef Stefan, knownFor, Stefan problem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Stefan problem
Context triple: [Josef Stefan, knownFor, Stefan problem]
  • 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. Cauchy problem
    The Cauchy problem is a fundamental type of initial value problem in partial differential equations, where one seeks a solution satisfying prescribed data on a given initial surface.
  • C. Laplace equation
    The Laplace equation is a fundamental second-order partial differential equation widely used in physics and engineering to describe steady-state phenomena such as electrostatics, gravitation, and heat conduction.
  • D. Saffman–Taylor instability
    The Saffman–Taylor instability is a fluid dynamics phenomenon in which a less viscous fluid penetrating a more viscous one in a confined geometry leads to finger-like interfacial patterns, often called viscous fingering.
  • E. Hilbert’s twenty-second problem
    Hilbert’s twenty-second problem is one of David Hilbert’s famous list of 23 problems, concerning the uniformization of analytic relations and the representation of multi-valued analytic functions by single-valued ones on suitable Riemann surfaces.
  • 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: Stefan problem
Triple: [Josef Stefan, knownFor, Stefan problem]
Generated description
The Stefan problem is a classical mathematical model in heat transfer that describes how phase-change boundaries, such as the interface between ice and water, move over time.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Stefan problem
Target entity description: The Stefan problem is a classical mathematical model in heat transfer that describes how phase-change boundaries, such as the interface between ice and water, move over time.
  • 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. Cauchy problem
    The Cauchy problem is a fundamental type of initial value problem in partial differential equations, where one seeks a solution satisfying prescribed data on a given initial surface.
  • C. Laplace equation
    The Laplace equation is a fundamental second-order partial differential equation widely used in physics and engineering to describe steady-state phenomena such as electrostatics, gravitation, and heat conduction.
  • D. Saffman–Taylor instability
    The Saffman–Taylor instability is a fluid dynamics phenomenon in which a less viscous fluid penetrating a more viscous one in a confined geometry leads to finger-like interfacial patterns, often called viscous fingering.
  • E. Hilbert’s twenty-second problem
    Hilbert’s twenty-second problem is one of David Hilbert’s famous list of 23 problems, concerning the uniformization of analytic relations and the representation of multi-valued analytic functions by single-valued ones on suitable Riemann surfaces.
  • 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_69ab4b7f51d881908768300ebd2fbdae completed March 6, 2026, 9:47 p.m.
NER Named-entity recognition batch_69abddb3d63c8190b3ab5fa363c69db8 completed March 7, 2026, 8:11 a.m.
NED1 Entity disambiguation (via context triple) batch_69afc6589558819088442f09db328dac completed March 10, 2026, 7:20 a.m.
NEDg Description generation batch_69afc6d485d88190b281abec460ff24d completed March 10, 2026, 7:23 a.m.
NED2 Entity disambiguation (via description) batch_69afc750fee08190bf3c112f6f204af4 completed March 10, 2026, 7:25 a.m.
Created at: March 6, 2026, 9:58 p.m.