Triple

T17529593
Position Surface form Disambiguated ID Type / Status
Subject Luca Pacioli E426893 entity
Predicate notableWork P4 FINISHED
Object De divina proportione
De divina proportione is a 1509 mathematical treatise on proportion and geometry, famous for its discussion of the golden ratio and its illustrations of polyhedra by Leonardo da Vinci.
E1273550 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: De divina proportione | Statement: [Luca Pacioli, notableWork, De divina proportione]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: De divina proportione
Context triple: [Luca Pacioli, notableWork, De divina proportione]
  • A. 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.
  • B. Practica Geometriae
    Practica Geometriae is a 13th-century mathematical treatise by Leonardo Fibonacci that systematically presents practical and theoretical geometry for use in surveying, measurement, and commerce.
  • C. Harmonices Mundi
    Harmonices Mundi is Johannes Kepler’s 1619 treatise in which he explores the mathematical harmony of the cosmos and formulates his third law of planetary motion.
  • D. Mysterium Cosmographicum
    Mysterium Cosmographicum is Johannes Kepler’s early astronomical treatise in which he proposes a geometric model of the solar system based on nested Platonic solids to explain the spacing of the planets.
  • E. Della nuova geometria
    Della nuova geometria is a Renaissance-era mathematical treatise by philosopher Francesco Patrizi that proposes an alternative, more philosophical approach to geometry.
  • 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: De divina proportione
Triple: [Luca Pacioli, notableWork, De divina proportione]
Generated description
De divina proportione is a 1509 mathematical treatise on proportion and geometry, famous for its discussion of the golden ratio and its illustrations of polyhedra by Leonardo da Vinci.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: De divina proportione
Target entity description: De divina proportione is a 1509 mathematical treatise on proportion and geometry, famous for its discussion of the golden ratio and its illustrations of polyhedra by Leonardo da Vinci.
  • A. 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.
  • B. Practica Geometriae
    Practica Geometriae is a 13th-century mathematical treatise by Leonardo Fibonacci that systematically presents practical and theoretical geometry for use in surveying, measurement, and commerce.
  • C. Harmonices Mundi
    Harmonices Mundi is Johannes Kepler’s 1619 treatise in which he explores the mathematical harmony of the cosmos and formulates his third law of planetary motion.
  • D. Mysterium Cosmographicum
    Mysterium Cosmographicum is Johannes Kepler’s early astronomical treatise in which he proposes a geometric model of the solar system based on nested Platonic solids to explain the spacing of the planets.
  • E. Della nuova geometria
    Della nuova geometria is a Renaissance-era mathematical treatise by philosopher Francesco Patrizi that proposes an alternative, more philosophical approach to geometry.
  • 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_69d889de677081909b22d2657b1f0292 completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e45367d68c819097f300381322f11d completed April 19, 2026, 4 a.m.
NED1 Entity disambiguation (via context triple) batch_6a01c9494c28819086d10adb536ffed8 completed May 11, 2026, 12:19 p.m.
NEDg Description generation batch_6a01ca2927f081908856b2d206776e44 completed May 11, 2026, 12:23 p.m.
NED2 Entity disambiguation (via description) batch_6a01caa5d0c8819085dea57b00c498e0 completed May 11, 2026, 12:25 p.m.
Created at: April 10, 2026, 5:49 a.m.