Triple
T6800982
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lagrange's four-square theorem |
E156185
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | Joseph-Louis Lagrange |
E29045
|
NE FINISHED |
How this triple was built (2 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: Joseph-Louis Lagrange | Statement: [Lagrange's four-square theorem, namedAfter, Joseph-Louis Lagrange]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Joseph-Louis Lagrange Context triple: [Lagrange's four-square theorem, namedAfter, Joseph-Louis Lagrange]
-
A.
Joseph-Louis Lagrange
chosen
Joseph-Louis Lagrange was an 18th-century mathematician and astronomer renowned for his foundational contributions to analysis, number theory, and classical mechanics, including the formulation of Lagrangian mechanics.
-
B.
Marie-Joseph Lagrange
Marie-Joseph Lagrange was a French Dominican priest and pioneering biblical scholar known for advancing historical-critical study of Scripture within the Catholic Church.
-
C.
Adrien-Marie Legendre
Adrien-Marie Legendre was an influential 18th–19th century French mathematician known for major contributions to number theory, analysis, and mathematical statistics.
-
D.
Pierre-Simon Laplace
Pierre-Simon Laplace was a French mathematician, physicist, and astronomer whose work laid the foundations of celestial mechanics, probability theory, and statistics.
-
E.
Jean d’Alembert
Jean d’Alembert was an 18th-century French mathematician, physicist, and philosopher best known for his foundational work in calculus, mechanics (including d’Alembert’s principle), and co-editing the Encyclopédie.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69c68826e6a48190a3d220b541e639de |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d2e595188190a0bb4b595df3adb2 |
completed | March 27, 2026, 6:56 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c7425a26d88190ab1e3de2e5596108 |
completed | March 28, 2026, 2:52 a.m. |
Created at: March 27, 2026, 2:16 p.m.