Triple

T22329025
Position Surface form Disambiguated ID Type / Status
Subject p-adic Hodge theory E551974 entity
Predicate usesConcept P531 FINISHED
Object de Rham cohomology NE NERFINISHED

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: de Rham cohomology | Statement: [p-adic Hodge theory, usesConcept, de Rham cohomology]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: de Rham cohomology
Context triple: [p-adic Hodge theory, usesConcept, de Rham cohomology]
  • A. de Rham cohomology chosen
    de Rham cohomology is a cohomology theory for smooth manifolds that uses differential forms to capture their global topological and geometric properties.
  • B. Čech–de Rham complex
    The Čech–de Rham complex is a double complex that combines Čech cochains with differential forms to compute de Rham cohomology via open covers.
  • C. Mayer–Vietoris sequence in de Rham cohomology
    The Mayer–Vietoris sequence in de Rham cohomology is a long exact sequence that computes the de Rham cohomology of a manifold by relating it to the cohomology of an open cover and their intersection.
  • D. Chern–Weil theory
    Chern–Weil theory is a framework in differential geometry that constructs characteristic classes of vector bundles from curvature forms, linking topology and geometry through invariant polynomials.
  • E. Differential Forms in Algebraic Topology
    Differential Forms in Algebraic Topology is a foundational graduate-level textbook that develops algebraic topology using the language of differential forms, bridging differential geometry and topological methods.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e11e482f788190b78d1588fc26d606 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f1576ab52c819087563cd778d6bc5e completed April 29, 2026, 12:57 a.m.
Created at: April 16, 2026, 8:43 p.m.