Triple

T20523459
Position Surface form Disambiguated ID Type / Status
Subject Helge von Koch E503870 entity
Predicate hasWork P6260 FINISHED
Object Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire
"Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire" is Helge von Koch’s seminal 1904 paper introducing the Koch curve, a classic fractal example of a continuous curve that is nowhere differentiable.
E1435907 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: Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire | Statement: [Helge von Koch, hasWork, Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire
Context triple: [Helge von Koch, hasWork, Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire]
  • A. Analyse des infiniment petits pour l’intelligence des lignes courbes
    *Analyse des infiniment petits pour l’intelligence des lignes courbes* is a landmark 1696 calculus textbook by Guillaume de l’Hôpital, notable as the first published work on differential calculus and for popularizing methods developed by Leibniz and the Bernoullis.
  • B. Frey curve construction
    The Frey curve construction is a method in number theory that associates an elliptic curve to a putative solution of Fermat’s Last Theorem, playing a key role in the proof by linking the theorem to modularity.
  • C. Tangents
    Tangents are small metal blades in a clavichord that strike and divide the strings to produce different musical pitches.
  • D. Jordan curve theorem
    The Jordan curve theorem is a fundamental result in topology stating that any simple closed curve in the plane divides the plane into exactly two distinct regions, an "inside" and an "outside."
  • E. Curve division
    Curve division is the plus-size and curve-focused modeling division of the international agency Wilhelmina Models.
  • 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: Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire
Triple: [Helge von Koch, hasWork, Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire]
Generated description
"Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire" is Helge von Koch’s seminal 1904 paper introducing the Koch curve, a classic fractal example of a continuous curve that is nowhere differentiable.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire
Target entity description: "Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire" is Helge von Koch’s seminal 1904 paper introducing the Koch curve, a classic fractal example of a continuous curve that is nowhere differentiable.
  • A. Analyse des infiniment petits pour l’intelligence des lignes courbes
    *Analyse des infiniment petits pour l’intelligence des lignes courbes* is a landmark 1696 calculus textbook by Guillaume de l’Hôpital, notable as the first published work on differential calculus and for popularizing methods developed by Leibniz and the Bernoullis.
  • B. Frey curve construction
    The Frey curve construction is a method in number theory that associates an elliptic curve to a putative solution of Fermat’s Last Theorem, playing a key role in the proof by linking the theorem to modularity.
  • C. Tangents
    Tangents are small metal blades in a clavichord that strike and divide the strings to produce different musical pitches.
  • D. Jordan curve theorem
    The Jordan curve theorem is a fundamental result in topology stating that any simple closed curve in the plane divides the plane into exactly two distinct regions, an "inside" and an "outside."
  • E. Curve division
    Curve division is the plus-size and curve-focused modeling division of the international agency Wilhelmina Models.
  • 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_69e0b4b3a6e08190ae663701f50fab8e completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e69f471f18819091e8a57161fe0225 completed April 20, 2026, 9:48 p.m.
NED1 Entity disambiguation (via context triple) batch_6a089d43c6588190a4be58521ca67698 completed May 16, 2026, 4:37 p.m.
NEDg Description generation batch_6a089e00cde081908dca3893f03e3398 completed May 16, 2026, 4:40 p.m.
NED2 Entity disambiguation (via description) batch_6a089e8a05488190b3470f4ffb5927ce completed May 16, 2026, 4:42 p.m.
Created at: April 16, 2026, 11:36 a.m.