Triple
T7375240
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hindu–Arabic numeral system |
E170106
|
entity |
| Predicate | popularizedByWork |
P71099
|
FINISHED |
| Object |
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.
|
E660683
|
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 Abaci | Statement: [Hindu–Arabic numeral system, popularizedByWork, Liber Abaci]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Liber Abaci Context triple: [Hindu–Arabic numeral system, popularizedByWork, Liber Abaci]
-
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.
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.
-
C.
Al-Khwarizmi's Al-jabr wa-l-muqabala
Al-Khwarizmi's *Al-jabr wa-l-muqabala* is a foundational 9th-century mathematical treatise that systematically introduced and developed algebra as an independent discipline.
-
D.
Treatise on the Division of Quadrants (Omar Khayyam)
Treatise on the Division of Quadrants is a mathematical work by Omar Khayyam in which he investigates geometric constructions and the division of arcs and quadrants, contributing to the development of geometry beyond Euclid.
-
E.
Zīj al-Sindhind
Zīj al-Sindhind is an influential early 9th-century astronomical handbook and set of tables by Al-Khwarizmi that helped introduce and adapt Indian and Persian astronomical methods to the Islamic world.
- 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 Abaci Triple: [Hindu–Arabic numeral system, popularizedByWork, Liber Abaci]
Generated description
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.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Liber Abaci Target entity description: 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.
-
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.
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.
-
C.
Al-Khwarizmi's Al-jabr wa-l-muqabala
Al-Khwarizmi's *Al-jabr wa-l-muqabala* is a foundational 9th-century mathematical treatise that systematically introduced and developed algebra as an independent discipline.
-
D.
Treatise on the Division of Quadrants (Omar Khayyam)
Treatise on the Division of Quadrants is a mathematical work by Omar Khayyam in which he investigates geometric constructions and the division of arcs and quadrants, contributing to the development of geometry beyond Euclid.
-
E.
Zīj al-Sindhind
Zīj al-Sindhind is an influential early 9th-century astronomical handbook and set of tables by Al-Khwarizmi that helped introduce and adapt Indian and Persian astronomical methods to the Islamic world.
- 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_69c68a5bfaac81909ce7f001dfb70c76 |
completed | March 27, 2026, 1:47 p.m. |
| NER | Named-entity recognition | batch_69c6f1a780f88190abf11994e307b6ad |
completed | March 27, 2026, 9:07 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c802ce8e408190946637d04083521c |
completed | March 28, 2026, 4:33 p.m. |
| NEDg | Description generation | batch_69c80739a09c819096267cc415e3655e |
completed | March 28, 2026, 4:52 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69c80810aff481909f4ac43f72101eb7 |
completed | March 28, 2026, 4:55 p.m. |
Created at: March 27, 2026, 3:07 p.m.