Triple
T17529592
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Luca Pacioli |
E426893
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Summa de arithmetica, geometria, proportioni et proportionalità
Summa de arithmetica, geometria, proportioni et proportionalità is a landmark 1494 mathematics treatise by Luca Pacioli that systematized arithmetic, algebra, and geometry and contained the first published description of double-entry bookkeeping.
|
E1273549
|
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: Summa de arithmetica, geometria, proportioni et proportionalità | Statement: [Luca Pacioli, notableWork, Summa de arithmetica, geometria, proportioni et proportionalità]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Summa de arithmetica, geometria, proportioni et proportionalità Context triple: [Luca Pacioli, notableWork, Summa de arithmetica, geometria, proportioni et proportionalità]
-
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.
Arithmeticæ et Geometriæ Practicæ Methodus Facilissima
Arithmeticæ et Geometriæ Practicæ Methodus Facilissima is a mathematical treatise by Adriaan Metius that presents practical methods for arithmetic and geometry, aimed at making their application easier and more accessible.
-
C.
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.
-
D.
De triangulis omnimodis
De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
-
E.
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.
- 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: Summa de arithmetica, geometria, proportioni et proportionalità Triple: [Luca Pacioli, notableWork, Summa de arithmetica, geometria, proportioni et proportionalità]
Generated description
Summa de arithmetica, geometria, proportioni et proportionalità is a landmark 1494 mathematics treatise by Luca Pacioli that systematized arithmetic, algebra, and geometry and contained the first published description of double-entry bookkeeping.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Summa de arithmetica, geometria, proportioni et proportionalità Target entity description: Summa de arithmetica, geometria, proportioni et proportionalità is a landmark 1494 mathematics treatise by Luca Pacioli that systematized arithmetic, algebra, and geometry and contained the first published description of double-entry bookkeeping.
-
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.
Arithmeticæ et Geometriæ Practicæ Methodus Facilissima
Arithmeticæ et Geometriæ Practicæ Methodus Facilissima is a mathematical treatise by Adriaan Metius that presents practical methods for arithmetic and geometry, aimed at making their application easier and more accessible.
-
C.
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.
-
D.
De triangulis omnimodis
De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
-
E.
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.
- 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.