Triple

T12220687
Position Surface form Disambiguated ID Type / Status
Subject Hermann Grassmann E291205 entity
Predicate notableIdea P4 FINISHED
Object Grassmann–Plücker relations E291200 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: Grassmann–Plücker relations | Statement: [Hermann Grassmann, notableIdea, Grassmann–Plücker relations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Grassmann–Plücker relations
Context triple: [Hermann Grassmann, notableIdea, Grassmann–Plücker relations]
  • A. Clebsch–Aronhold invariants
    The Clebsch–Aronhold invariants are classical algebraic invariants associated with binary forms, particularly quartic forms, that play a key role in invariant theory and the classification of algebraic curves.
  • B. Plücker formulas
    Plücker formulas are classical algebraic geometry relations that connect the degree and singularities of plane algebraic curves with the invariants of their dual curves.
  • C. Plücker coordinates chosen
    Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
  • D. Symanzik polynomials
    Symanzik polynomials are graph-based polynomials that arise in the parametric representation of Feynman integrals in quantum field theory, encoding the topology and kinematic dependence of Feynman diagrams.
  • E. Hodge–Riemann bilinear relations
    The Hodge–Riemann bilinear relations are fundamental positivity and orthogonality conditions on the intersection form in Hodge theory that underpin results such as the hard Lefschetz theorem and the Hodge index theorem.
  • 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_69d6ab668acc8190963ba424049d6aee completed April 8, 2026, 7:24 p.m.
NER Named-entity recognition batch_69d91c961d648190ad6ce5f7d228eee4 completed April 10, 2026, 3:51 p.m.
NED1 Entity disambiguation (via context triple) batch_69f60aa4f4388190a787dde12190c51a completed May 2, 2026, 2:31 p.m.
Created at: April 8, 2026, 9:51 p.m.