Triple

T6801390
Position Surface form Disambiguated ID Type / Status
Subject Poincaré lemma E156193 entity
Predicate relatedTo P37 FINISHED
Object Stokes theorem E155868 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: Stokes theorem | Statement: [Poincaré lemma, relatedTo, Stokes theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Stokes theorem
Context triple: [Poincaré lemma, relatedTo, Stokes theorem]
  • A. Stokes' theorem chosen
    Stokes' theorem is a fundamental result in vector calculus that relates the surface integral of the curl of a vector field over a surface to the line integral of the field around the surface’s boundary.
  • B. Green's theorem
    Green's theorem is a fundamental result in vector calculus that relates a line integral around a simple closed curve in the plane to a double integral over the region it encloses.
  • C. Poincaré lemma
    The Poincaré lemma is a fundamental result in differential geometry and topology stating that every closed differential form on a star-shaped (or more generally, contractible) domain is locally exact.
  • D. Stokes
    Stokes is a surname most famously associated with George Gabriel Stokes, a 19th-century Irish mathematician and physicist known for his foundational work in fluid dynamics and optics.
  • E. Gauss–Bonnet theorem (early form)
    The Gauss–Bonnet theorem (early form) is an early version of the fundamental result in differential geometry that links the total curvature of a surface to its topological characteristics, originally developed by Carl Friedrich Gauss.
  • 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.