Triple

T11099159
Position Surface form Disambiguated ID Type / Status
Subject Évariste Galois E262457 entity
Predicate notableWork P4 FINISHED
Object Mémoire sur les conditions de résolubilité des équations par radicaux E63710 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: Mémoire sur les conditions de résolubilité des équations par radicaux | Statement: [Évariste Galois, notableWork, Mémoire sur les conditions de résolubilité des équations par radicaux]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Mémoire sur les conditions de résolubilité des équations par radicaux
Context triple: [Évariste Galois, notableWork, Mémoire sur les conditions de résolubilité des équations par radicaux]
  • A. 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.
  • B. Leçons sur les méthodes de Sturm
    Leçons sur les méthodes de Sturm is a mathematical treatise by Maxime Bôcher that systematically develops and explains Sturm's methods in the theory of differential equations and real-rooted polynomials.
  • C. Abel–Ruffini theorem chosen
    The Abel–Ruffini theorem is a fundamental result in algebra proving that there is no general solution in radicals for polynomial equations of degree five or higher.
  • D. Theorie der binären algebraischen Formen
    "Theorie der binären algebraischen Formen" is a foundational 19th-century mathematical treatise by Alfred Clebsch on the theory of binary algebraic forms and invariants.
  • E. Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes
    Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes is a seminal mathematical paper by Niels Henrik Abel that develops fundamental results on transcendental functions and helped lay groundwork for modern analysis.
  • 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_69d6aa9a40d88190a373e2c7e48285db completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d79a0c46308190889b94c23ebaca62 completed April 9, 2026, 12:22 p.m.
NED1 Entity disambiguation (via context triple) batch_69e3e7eca9bc8190b43bae081d97d804 completed April 18, 2026, 8:22 p.m.
Created at: April 8, 2026, 9:27 p.m.