Triple

T6801306
Position Surface form Disambiguated ID Type / Status
Subject Poincaré–Hopf theorem E156192 entity
Predicate namedAfter P63 FINISHED
Object Heinz Hopf E173181 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: Heinz Hopf | Statement: [Poincaré–Hopf theorem, namedAfter, Heinz Hopf]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Heinz Hopf
Context triple: [Poincaré–Hopf theorem, namedAfter, Heinz Hopf]
  • A. Heinz Hopf chosen
    Heinz Hopf was a German mathematician renowned for his foundational contributions to topology, including the Hopf fibration and Hopf invariant.
  • B. Friedrich Hirzebruch
    Friedrich Hirzebruch was a German mathematician renowned for his foundational work in topology and algebraic geometry, particularly the Hirzebruch–Riemann–Roch theorem.
  • C. Norman Steenrod
    Norman Steenrod was an influential American mathematician best known for his foundational work in algebraic topology, including the development of Steenrod squares and contributions to cohomology theory.
  • D. Ernst Witt
    Ernst Witt was a German mathematician known for his influential work in algebra, particularly in the theory of quadratic forms, Witt vectors, and the classification of finite simple groups.
  • E. Wilhelm Blaschke
    Wilhelm Blaschke was a prominent Austrian mathematician known for his influential work in differential and integral geometry and for mentoring several leading 20th-century geometers.
  • 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_69c71a9b0cc48190819380aeaf0228e7 completed March 28, 2026, 12:02 a.m.
Created at: March 27, 2026, 2:16 p.m.