Triple

T2364582
Position Surface form Disambiguated ID Type / Status
Subject Riemann–Roch theorem E47350 entity
Predicate originallyProvedBy P21917 FINISHED
Object Bernhard Riemann E8325 NE FINISHED

How this triple was built (3 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: Bernhard Riemann | Statement: [Riemann–Roch theorem, originallyProvedBy, Bernhard Riemann]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bernhard Riemann
Context triple: [Riemann–Roch theorem, originallyProvedBy, Bernhard Riemann]
  • A. Bernhard Riemann chosen
    Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
  • B. Karl Weierstrass
    Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
  • C. Peter Gustav Lejeune Dirichlet
    Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
  • D. Felix Klein
    Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
  • E. David Hilbert
    David Hilbert was a pioneering German mathematician whose foundational work in fields such as invariant theory, axiomatic systems, and functional analysis profoundly shaped modern mathematics.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: originallyProvedBy
Context triple: [Riemann–Roch theorem, originallyProvedBy, Bernhard Riemann]
  • A. originallyEnforcedBy
    Indicates that a rule, law, policy, or agreement was first implemented and upheld by a particular enforcing authority or agent.
  • B. attestedBy
    Indicates that the existence, occurrence, or validity of something is supported, confirmed, or documented by a specified source or authority.
  • C. attestedFrom
    Indicates the earliest point in time or source from which something is documented, recorded, or evidenced as existing or in use.
  • D. proved chosen
    Indicates that one entity has demonstrated the truth or validity of another entity (such as a statement, theorem, or claim) through logical or evidential means.
  • E. originallyIn
    Indicates that something first appeared, was created, or was initially located within a particular context, source, or place.
  • F. None of above.

Provenance (4 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_69a88a1a4a6081908645b0f2914521ab completed March 4, 2026, 7:38 p.m.
NER Named-entity recognition batch_69abc7486cb48190acef1891cc87bdb1 completed March 7, 2026, 6:35 a.m.
NED1 Entity disambiguation (via context triple) batch_69af5cce716c8190b87b117b270b9a84 completed March 9, 2026, 11:50 p.m.
PD Predicate disambiguation batch_69abc599b92c819093d9e15d4437705d completed March 7, 2026, 6:28 a.m.
Created at: March 4, 2026, 7:55 p.m.