Triple

T2361997
Position Surface form Disambiguated ID Type / Status
Subject Einstein bed-load function E47293 entity
Predicate relatedTo P37 FINISHED
Object Meyer-Peter–Müller bed-load formula
The Meyer-Peter–Müller bed-load formula is a classic empirical equation in fluvial hydraulics used to estimate the transport rate of coarse sediment along a riverbed under given flow conditions.
E261324 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: Meyer-Peter–Müller bed-load formula | Statement: [Einstein bed-load function, relatedTo, Meyer-Peter–Müller bed-load formula]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Meyer-Peter–Müller bed-load formula
Context triple: [Einstein bed-load function, relatedTo, Meyer-Peter–Müller bed-load formula]
  • A. Einstein bed-load function
    The Einstein bed-load function is a seminal hydraulic engineering formula developed by Hans Albert Einstein to predict the transport rate of sediment particles rolling and sliding along a riverbed under flowing water.
  • B. Kraichnan model of passive scalar advection
    The Kraichnan model of passive scalar advection is a theoretical framework in turbulence that studies how a passively transported quantity (like temperature or pollutant concentration) evolves in a fluid flow modeled by a Gaussian, white-in-time random velocity field.
  • C. Callahan flow
    Callahan flow is a notable basaltic lava flow associated with Medicine Lake Volcano in northern California, formed during one of its relatively recent volcanic eruptions.
  • D. On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
    "On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
  • E. 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.
  • 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: Meyer-Peter–Müller bed-load formula
Triple: [Einstein bed-load function, relatedTo, Meyer-Peter–Müller bed-load formula]
Generated description
The Meyer-Peter–Müller bed-load formula is a classic empirical equation in fluvial hydraulics used to estimate the transport rate of coarse sediment along a riverbed under given flow conditions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Meyer-Peter–Müller bed-load formula
Target entity description: The Meyer-Peter–Müller bed-load formula is a classic empirical equation in fluvial hydraulics used to estimate the transport rate of coarse sediment along a riverbed under given flow conditions.
  • A. Einstein bed-load function
    The Einstein bed-load function is a seminal hydraulic engineering formula developed by Hans Albert Einstein to predict the transport rate of sediment particles rolling and sliding along a riverbed under flowing water.
  • B. Kraichnan model of passive scalar advection
    The Kraichnan model of passive scalar advection is a theoretical framework in turbulence that studies how a passively transported quantity (like temperature or pollutant concentration) evolves in a fluid flow modeled by a Gaussian, white-in-time random velocity field.
  • C. Callahan flow
    Callahan flow is a notable basaltic lava flow associated with Medicine Lake Volcano in northern California, formed during one of its relatively recent volcanic eruptions.
  • D. On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
    "On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
  • E. 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.
  • 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_69a88a1a4a6081908645b0f2914521ab completed March 4, 2026, 7:38 p.m.
NER Named-entity recognition batch_69abc723c66481908a9b94991f651b3b completed March 7, 2026, 6:35 a.m.
NED1 Entity disambiguation (via context triple) batch_69aea8938d5481908ed11efcc8840ca4 completed March 9, 2026, 11:01 a.m.
NEDg Description generation batch_69aeabfeddd4819080205fbebac1a51d completed March 9, 2026, 11:16 a.m.
NED2 Entity disambiguation (via description) batch_69aeacc8445481908a3ae8bd62493413 completed March 9, 2026, 11:19 a.m.
Created at: March 4, 2026, 7:55 p.m.