Triple

T14265436
Position Surface form Disambiguated ID Type / Status
Subject Wacław Sierpiński E353630 entity
Predicate notableIdea P4 FINISHED
Object Sierpiński curve
The Sierpiński curve is a space-filling fractal curve that recursively subdivides a square into smaller regions, ultimately passing through every point in a two-dimensional area.
E403670 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 curve | Statement: [Wacław Sierpiński, notableIdea, Sierpiński curve]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Sierpiński curve
Context triple: [Wacław Sierpiński, notableIdea, Sierpiński 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. 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.
  • E. 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.
  • 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 curve
Triple: [Wacław Sierpiński, notableIdea, Sierpiński curve]
Generated description
The Sierpiński curve is a space-filling fractal curve that recursively subdivides a square into smaller regions, ultimately passing through every point in a two-dimensional area.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Sierpiński curve
Target entity description: The Sierpiński curve is a space-filling fractal curve that recursively subdivides a square into smaller regions, ultimately passing through every point in a two-dimensional area.
  • A. Peano curve chosen
    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. 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.
  • E. 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.
  • F. None of above.

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_69fd326551b08190ae8fe220a6422339 completed May 8, 2026, 12:46 a.m.
NEDg Description generation batch_69fd3417e8e88190b099bfe4ba30f364 completed May 8, 2026, 12:53 a.m.
NED2 Entity disambiguation (via description) batch_69fd37df3dfc8190a594abb2c14e11bb completed May 8, 2026, 1:09 a.m.
Created at: April 10, 2026, 1:09 a.m.