Triple

T4597309
Position Surface form Disambiguated ID Type / Status
Subject Kronecker delta E100234 entity
Predicate appearsIn P795 FINISHED
Object Einstein summation convention E247936 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: Einstein summation convention | Statement: [Kronecker delta, appearsIn, Einstein summation convention]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Einstein summation convention
Context triple: [Kronecker delta, appearsIn, Einstein summation convention]
  • A. Levi-Civita symbol
    The Levi-Civita symbol is an antisymmetric tensor used in mathematics and physics to represent orientations, cross products, and determinants in multiple dimensions.
  • B. Minkowski metric η_{μν}
    The Minkowski metric η_{μν} is the flat spacetime metric of special relativity, describing a four-dimensional spacetime with Lorentzian signature that serves as the background for many formulations of relativistic physics.
  • C. Ricci calculus chosen
    Ricci calculus is a mathematical framework for tensor analysis on manifolds that underpins much of modern differential geometry and general relativity.
  • D. Kronecker delta
    The Kronecker delta is a function of two variables that equals 1 when the variables are equal and 0 otherwise, widely used in linear algebra, tensor calculus, and discrete mathematics to represent identity relations.
  • E. Ricci-Curbastro
    Ricci-Curbastro is the surname of the Italian mathematician Gregorio Ricci-Curbastro, a pioneer of tensor calculus and differential geometry.
  • 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_69bd43cbc014819098b45f435908f88a completed March 20, 2026, 12:55 p.m.
NER Named-entity recognition batch_69bd59420c108190b5c2c5039e964da5 completed March 20, 2026, 2:27 p.m.
NED1 Entity disambiguation (via context triple) batch_69bdfa4a99c88190b7332fd2e1799b3a completed March 21, 2026, 1:54 a.m.
Created at: March 20, 2026, 1:11 p.m.