Triple

T14030325
Position Surface form Disambiguated ID Type / Status
Subject Leonardo Fibonacci E337570 entity
Predicate notableWork P4 FINISHED
Object Liber Quadratorum
Liber Quadratorum is a 13th-century mathematical treatise by Leonardo Fibonacci that focuses on number theory, particularly problems involving squares and Diophantine equations.
E1074916 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: Liber Quadratorum | Statement: [Leonardo Fibonacci, notableWork, Liber Quadratorum]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Liber Quadratorum
Context triple: [Leonardo Fibonacci, notableWork, Liber Quadratorum]
  • A. De institutione arithmetica
    De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
  • B. Liber Abaci
    Liber Abaci is a 1202 mathematical treatise by Leonardo of Pisa (Fibonacci) that introduced and promoted the use of Hindu–Arabic numerals and modern arithmetic to medieval Europe.
  • C. Libellus de quinque corporibus regularibus
    Libellus de quinque corporibus regularibus is a 15th-century mathematical treatise by Piero della Francesca that systematically studies the five Platonic solids and their geometric properties.
  • D. De triangulis omnimodis
    De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
  • E. Trattato d’abaco
    Trattato d’abaco is a mathematical treatise by Renaissance artist and mathematician Piero della Francesca, focusing on arithmetic and practical calculation methods.
  • 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: Liber Quadratorum
Triple: [Leonardo Fibonacci, notableWork, Liber Quadratorum]
Generated description
Liber Quadratorum is a 13th-century mathematical treatise by Leonardo Fibonacci that focuses on number theory, particularly problems involving squares and Diophantine equations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Liber Quadratorum
Target entity description: Liber Quadratorum is a 13th-century mathematical treatise by Leonardo Fibonacci that focuses on number theory, particularly problems involving squares and Diophantine equations.
  • A. De institutione arithmetica
    De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
  • B. Liber Abaci
    Liber Abaci is a 1202 mathematical treatise by Leonardo of Pisa (Fibonacci) that introduced and promoted the use of Hindu–Arabic numerals and modern arithmetic to medieval Europe.
  • C. Libellus de quinque corporibus regularibus
    Libellus de quinque corporibus regularibus is a 15th-century mathematical treatise by Piero della Francesca that systematically studies the five Platonic solids and their geometric properties.
  • D. De triangulis omnimodis
    De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
  • E. Trattato d’abaco
    Trattato d’abaco is a mathematical treatise by Renaissance artist and mathematician Piero della Francesca, focusing on arithmetic and practical calculation methods.
  • 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_69d81c6543a48190bd5ba93d7419e797 completed April 9, 2026, 9:38 p.m.
NER Named-entity recognition batch_69de2fa9f8248190930954d609dee5f1 completed April 14, 2026, 12:14 p.m.
NED1 Entity disambiguation (via context triple) batch_69fbc335a474819084c310b10e0ded9a completed May 6, 2026, 10:39 p.m.
NEDg Description generation batch_69fbc51585608190817e9a80666b7740 completed May 6, 2026, 10:47 p.m.
NED2 Entity disambiguation (via description) batch_69fbc57bf4188190aace2c976d842b43 completed May 6, 2026, 10:49 p.m.
Created at: April 9, 2026, 10:20 p.m.