Triple

T11016765
Position Surface form Disambiguated ID Type / Status
Subject Catmull–Rom spline E260383 entity
Predicate canBeGeneralizedTo P2372 FINISHED
Object non-uniform Catmull–Rom spline E260383 NE FINISHED

How this triple was built (2 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: non-uniform Catmull–Rom spline | Statement: [Catmull–Rom spline, canBeGeneralizedTo, non-uniform Catmull–Rom spline]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: non-uniform Catmull–Rom spline
Context triple: [Catmull–Rom spline, canBeGeneralizedTo, non-uniform Catmull–Rom spline]
  • A. Catmull–Rom spline chosen
    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.
  • 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. Bezier curves
    Bézier curves are mathematically defined parametric curves widely used in computer graphics and digital design to model smooth, scalable shapes and paths.
  • D. Random Curves
    Random Curves is a mathematics book by Neal Koblitz that explores probabilistic and heuristic methods in number theory and algebraic geometry, particularly in relation to elliptic curves and cryptographic applications.
  • E. Birkhoff interpolation
    Birkhoff interpolation is a generalized form of polynomial interpolation that allows prescribing function and derivative values at selected points, not necessarily in a consecutive or complete pattern.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d6aa9687448190b28d353b1b6a610e completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d797a682908190b061d1995e2866b6 completed April 9, 2026, 12:12 p.m.
NED1 Entity disambiguation (via context triple) batch_69e374d371ec8190aba9e77346c6e876 completed April 18, 2026, 12:10 p.m.
Created at: April 8, 2026, 9:25 p.m.