Triple
T5915433
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Commentary on the Difficulties of Certain Postulates of Euclid |
E131567
|
entity |
| Predicate | relatedWork |
P37
|
FINISHED |
| Object |
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.
|
E555120
|
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: Treatise on the Division of Quadrants (Omar Khayyam) | Statement: [Commentary on the Difficulties of Certain Postulates of Euclid, relatedWork, Treatise on the Division of Quadrants (Omar Khayyam)]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Treatise on the Division of Quadrants (Omar Khayyam) Context triple: [Commentary on the Difficulties of Certain Postulates of Euclid, relatedWork, Treatise on the Division of Quadrants (Omar Khayyam)]
-
A.
Al-Farghani's Elements of Astronomy
Al-Farghani's Elements of Astronomy is a foundational 9th-century Arabic treatise that systematically summarizes and explains Ptolemaic astronomy and became highly influential in both the Islamic world and medieval Europe.
-
B.
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.
-
C.
Ulugh Beg's Zij-i Sultani
Ulugh Beg's Zij-i Sultani is a 15th-century astronomical star catalogue and set of planetary tables compiled at the Samarkand observatory, renowned for its remarkably accurate measurements and lasting influence on later astronomy.
-
D.
Treatise on Astronomy
Treatise on Astronomy is a 19th-century textbook by American mathematician and astronomer Elias Loomis that systematically presents the fundamental principles and observations of astronomy for students and general readers.
-
E.
Al-Zarqali's Toledan Tables
Al-Zarqali's Toledan Tables are a highly influential set of medieval astronomical tables, compiled in Toledo, that provided precise planetary positions and were widely used across the Islamic world and later in Europe.
- 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: Treatise on the Division of Quadrants (Omar Khayyam) Triple: [Commentary on the Difficulties of Certain Postulates of Euclid, relatedWork, Treatise on the Division of Quadrants (Omar Khayyam)]
Generated description
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.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Treatise on the Division of Quadrants (Omar Khayyam) Target entity description: 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.
-
A.
Al-Farghani's Elements of Astronomy
Al-Farghani's Elements of Astronomy is a foundational 9th-century Arabic treatise that systematically summarizes and explains Ptolemaic astronomy and became highly influential in both the Islamic world and medieval Europe.
-
B.
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.
-
C.
Ulugh Beg's Zij-i Sultani
Ulugh Beg's Zij-i Sultani is a 15th-century astronomical star catalogue and set of planetary tables compiled at the Samarkand observatory, renowned for its remarkably accurate measurements and lasting influence on later astronomy.
-
D.
Treatise on Astronomy
Treatise on Astronomy is a 19th-century textbook by American mathematician and astronomer Elias Loomis that systematically presents the fundamental principles and observations of astronomy for students and general readers.
-
E.
Al-Zarqali's Toledan Tables
Al-Zarqali's Toledan Tables are a highly influential set of medieval astronomical tables, compiled in Toledo, that provided precise planetary positions and were widely used across the Islamic world and later in Europe.
- 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_69c008593a44819081a07ae0efe6c574 |
completed | March 22, 2026, 3:18 p.m. |
| NER | Named-entity recognition | batch_69c037bb538c8190acc514c2d49359f4 |
completed | March 22, 2026, 6:40 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c0c02430bc8190a63b91b6dbdbc9f2 |
completed | March 23, 2026, 4:23 a.m. |
| NEDg | Description generation | batch_69c0c0cb4fac8190b1f73d6707200112 |
completed | March 23, 2026, 4:25 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c0c1f6fe60819080a00976740b6a9c |
completed | March 23, 2026, 4:30 a.m. |
Created at: March 22, 2026, 3:59 p.m.