Triple
T12198305
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Thomas Heath |
E290646
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Diophantus of Alexandria: A Study in the History of Greek Algebra
Diophantus of Alexandria: A Study in the History of Greek Algebra is Thomas Heath’s seminal scholarly monograph examining the life, works, and mathematical contributions of the ancient Greek mathematician Diophantus, with particular focus on his role in the development of algebra.
|
E970390
|
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: Diophantus of Alexandria: A Study in the History of Greek Algebra | Statement: [Thomas Heath, notableWork, Diophantus of Alexandria: A Study in the History of Greek Algebra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Diophantus of Alexandria: A Study in the History of Greek Algebra Context triple: [Thomas Heath, notableWork, Diophantus of Alexandria: A Study in the History of Greek Algebra]
-
A.
Hellenistic mathematics
Hellenistic mathematics was the advanced mathematical tradition that flourished in the Greek-speaking world after Alexander the Great, characterized by rigorous geometric proofs and significant developments in fields such as geometry, number theory, and astronomy.
-
B.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
-
C.
A History of Mathematics: From Mesopotamia to Modernity
A History of Mathematics: From Mesopotamia to Modernity is a comprehensive survey book that traces the development of mathematical ideas across different cultures and historical periods, from ancient Mesopotamia to the modern era.
-
D.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
-
E.
Commentary on Euclid's Elements
Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
- 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: Diophantus of Alexandria: A Study in the History of Greek Algebra Triple: [Thomas Heath, notableWork, Diophantus of Alexandria: A Study in the History of Greek Algebra]
Generated description
Diophantus of Alexandria: A Study in the History of Greek Algebra is Thomas Heath’s seminal scholarly monograph examining the life, works, and mathematical contributions of the ancient Greek mathematician Diophantus, with particular focus on his role in the development of algebra.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Diophantus of Alexandria: A Study in the History of Greek Algebra Target entity description: Diophantus of Alexandria: A Study in the History of Greek Algebra is Thomas Heath’s seminal scholarly monograph examining the life, works, and mathematical contributions of the ancient Greek mathematician Diophantus, with particular focus on his role in the development of algebra.
-
A.
Hellenistic mathematics
Hellenistic mathematics was the advanced mathematical tradition that flourished in the Greek-speaking world after Alexander the Great, characterized by rigorous geometric proofs and significant developments in fields such as geometry, number theory, and astronomy.
-
B.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
-
C.
A History of Mathematics: From Mesopotamia to Modernity
A History of Mathematics: From Mesopotamia to Modernity is a comprehensive survey book that traces the development of mathematical ideas across different cultures and historical periods, from ancient Mesopotamia to the modern era.
-
D.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
-
E.
Commentary on Euclid's Elements
Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
- 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_69d6ab64de5881908d56eb7a75c6cc69 |
completed | April 8, 2026, 7:24 p.m. |
| NER | Named-entity recognition | batch_69d91c56b4d88190b6a32baff3375dc4 |
completed | April 10, 2026, 3:50 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f60a9150448190b30e6e2dd8eec3b4 |
completed | May 2, 2026, 2:30 p.m. |
| NEDg | Description generation | batch_69f60bdb39f48190ad6bc51db6c34163 |
completed | May 2, 2026, 2:36 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f60d4889d48190b2dfda8a0978cc72 |
completed | May 2, 2026, 2:42 p.m. |
Created at: April 8, 2026, 9:50 p.m.