Triple

T2384667
Position Surface form Disambiguated ID Type / Status
Subject Edwin Catmull E46391 entity
Predicate knownFor P22 FINISHED
Object Catmull–Rom spline
The Catmull–Rom spline is a type of interpolating spline commonly used in computer graphics and animation to create smooth curves that pass through a given set of control points.
E260383 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: Catmull–Rom spline | Statement: [Edwin Catmull, knownFor, Catmull–Rom spline]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Catmull–Rom spline
Context triple: [Edwin Catmull, knownFor, Catmull–Rom spline]
  • A. Bezier curves
    Bézier curves are mathematically defined parametric curves widely used in computer graphics and digital design to model smooth, scalable shapes and paths.
  • B. B-splines
    B-splines are piecewise polynomial functions widely used in computer graphics and numerical analysis to create smooth, flexible curves and surfaces controlled by a set of control points.
  • C. Archimedes' spiral
    Archimedes' spiral is a classical mathematical curve that winds outward from a fixed point at a constant rate as it revolves around that point.
  • D. Page curve
    The Page curve is a theoretical prediction in black hole physics that describes how the entanglement entropy of Hawking radiation should rise and then fall over time if black hole evaporation is ultimately unitary.
  • E. Carathéodory–Fejér interpolation
    Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
  • 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: Catmull–Rom spline
Triple: [Edwin Catmull, knownFor, Catmull–Rom spline]
Generated description
The Catmull–Rom spline is a type of interpolating spline commonly used in computer graphics and animation to create smooth curves that pass through a given set of control points.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Catmull–Rom spline
Target entity description: The Catmull–Rom spline is a type of interpolating spline commonly used in computer graphics and animation to create smooth curves that pass through a given set of control points.
  • A. Bezier curves
    Bézier curves are mathematically defined parametric curves widely used in computer graphics and digital design to model smooth, scalable shapes and paths.
  • B. B-splines
    B-splines are piecewise polynomial functions widely used in computer graphics and numerical analysis to create smooth, flexible curves and surfaces controlled by a set of control points.
  • C. Archimedes' spiral
    Archimedes' spiral is a classical mathematical curve that winds outward from a fixed point at a constant rate as it revolves around that point.
  • D. Page curve
    The Page curve is a theoretical prediction in black hole physics that describes how the entanglement entropy of Hawking radiation should rise and then fall over time if black hole evaporation is ultimately unitary.
  • E. Simpson's rule
    Simpson's rule is a numerical integration technique that approximates the area under a curve by fitting parabolas through groups of data points.
  • 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_69a88a1554a48190a0180682bcf099be completed March 4, 2026, 7:37 p.m.
NER Named-entity recognition batch_69abc7bc87d0819090cd9d19d748bcc3 completed March 7, 2026, 6:37 a.m.
NED1 Entity disambiguation (via context triple) batch_69aea8bae2ec8190962479832bf7762e completed March 9, 2026, 11:02 a.m.
NEDg Description generation batch_69aeab4258f88190a7a009d0fa501dd4 completed March 9, 2026, 11:13 a.m.
NED2 Entity disambiguation (via description) batch_69aeaba59cd08190981af351019b3e81 completed March 9, 2026, 11:14 a.m.
Created at: March 4, 2026, 7:57 p.m.