Triple

T10772655
Position Surface form Disambiguated ID Type / Status
Subject étale cohomology E254118 entity
Predicate formalizedIn P6279 FINISHED
Object Éléments de géométrie algébrique E254127 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: Éléments de géométrie algébrique | Statement: [étale cohomology, formalizedIn, Éléments de géométrie algébrique]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Éléments de géométrie algébrique
Context triple: [étale cohomology, formalizedIn, Éléments de géométrie algébrique]
  • A. Éléments de géométrie algébrique chosen
    Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
  • B. Sur les courbes algébriques et les variétés qui s’en déduisent
    Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
  • C. Séminaire de Géométrie Algébrique du Bois Marie
    Séminaire de Géométrie Algébrique du Bois Marie is a foundational multi-volume series of advanced seminars that reshaped modern algebraic geometry through the development of schemes, cohomology theories, and the Grothendieck school’s methods.
  • D. Éléments de mathématique
    Éléments de mathématique is an influential, multi-volume treatise that systematically rebuilds modern mathematics from set-theoretic foundations in a highly rigorous and abstract style.
  • E. L’Analysis Situs et la Géométrie Algébrique
    L’Analysis Situs et la Géométrie Algébrique is a foundational mathematical treatise that helped establish modern algebraic topology and its connections with algebraic geometry.
  • 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_69d6aa5f54f4819082d0bbcb6f8797e6 completed April 8, 2026, 7:19 p.m.
NER Named-entity recognition batch_69d7329a281081909cdc4b971cf69207 completed April 9, 2026, 5:01 a.m.
NED1 Entity disambiguation (via context triple) batch_69de238559b48190abc759e744ab0f8e completed April 14, 2026, 11:22 a.m.
Created at: April 8, 2026, 9:16 p.m.