Triple

T14265440
Position Surface form Disambiguated ID Type / Status
Subject Wacław Sierpiński E353630 entity
Predicate notableIdea P4 FINISHED
Object Sierpiński arrowhead curve
The Sierpiński arrowhead curve is a self-similar fractal curve that recursively forms a triangular, dragon-like pattern and is closely related to the Sierpiński triangle.
E1091122 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: Sierpiński arrowhead curve | Statement: [Wacław Sierpiński, notableIdea, Sierpiński arrowhead curve]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Sierpiński arrowhead curve
Context triple: [Wacław Sierpiński, notableIdea, Sierpiński arrowhead curve]
  • A. Peano curve
    The Peano curve is a space-filling fractal curve that continuously maps a one-dimensional interval onto a two-dimensional area, demonstrating that a line can completely fill a square.
  • B. Sierpiński carpet
    The Sierpiński carpet is a classic two-dimensional fractal formed by repeatedly removing central squares from a larger square, resulting in a highly intricate, self-similar pattern with zero area but infinite perimeter.
  • C. Menger sponge
    The Menger sponge is a classic three-dimensional fractal object characterized by infinite surface area and zero volume, constructed by recursively removing cubes from a larger cube.
  • D. Fractale
    Fractale is a 2011 science-fiction anime series set in a future society controlled by a ubiquitous virtual reality system, exploring themes of freedom, faith, and human connection.
  • E. Mandelbrot set
    The Mandelbrot set is a famous complex-plane fractal defined by iterating quadratic polynomials, known for its infinitely intricate boundary and iconic role in chaos theory and complex dynamics.
  • 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: Sierpiński arrowhead curve
Triple: [Wacław Sierpiński, notableIdea, Sierpiński arrowhead curve]
Generated description
The Sierpiński arrowhead curve is a self-similar fractal curve that recursively forms a triangular, dragon-like pattern and is closely related to the Sierpiński triangle.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Sierpiński arrowhead curve
Target entity description: The Sierpiński arrowhead curve is a self-similar fractal curve that recursively forms a triangular, dragon-like pattern and is closely related to the Sierpiński triangle.
  • A. Peano curve
    The Peano curve is a space-filling fractal curve that continuously maps a one-dimensional interval onto a two-dimensional area, demonstrating that a line can completely fill a square.
  • B. Sierpiński carpet
    The Sierpiński carpet is a classic two-dimensional fractal formed by repeatedly removing central squares from a larger square, resulting in a highly intricate, self-similar pattern with zero area but infinite perimeter.
  • C. Menger sponge
    The Menger sponge is a classic three-dimensional fractal object characterized by infinite surface area and zero volume, constructed by recursively removing cubes from a larger cube.
  • D. Fractale
    Fractale is a 2011 science-fiction anime series set in a future society controlled by a ubiquitous virtual reality system, exploring themes of freedom, faith, and human connection.
  • E. Mandelbrot set
    The Mandelbrot set is a famous complex-plane fractal defined by iterating quadratic polynomials, known for its infinitely intricate boundary and iconic role in chaos theory and complex dynamics.
  • 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_69d8278c43e08190824146f4632b89a5 completed April 9, 2026, 10:26 p.m.
NER Named-entity recognition batch_69de6357a8188190ba518a486521052b completed April 14, 2026, 3:55 p.m.
NED1 Entity disambiguation (via context triple) batch_69fd3d150b188190a0858ab94f81d9a8 completed May 8, 2026, 1:32 a.m.
NEDg Description generation batch_69fd3e13914c81908f4dcda7f0f6a927 completed May 8, 2026, 1:36 a.m.
NED2 Entity disambiguation (via description) batch_69fd3ee3f66081909301276aeee05350 completed May 8, 2026, 1:39 a.m.
Created at: April 10, 2026, 1:09 a.m.