Triple
T10661699
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Levi-Civita symbol |
E251240
|
entity |
| Predicate | appearsIn |
P795
|
FINISHED |
| Object | Einstein summation convention |
E869109
|
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: [Levi-Civita symbol, appearsIn, Einstein summation convention]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Einstein summation convention Context triple: [Levi-Civita symbol, appearsIn, Einstein summation convention]
-
A.
Einstein notation
chosen
Einstein notation is a concise index-based convention in tensor calculus that simplifies expressions by implying summation over repeated indices.
-
B.
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.
-
C.
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.
-
D.
Ricci calculus
Ricci calculus is a mathematical framework for tensor analysis on manifolds that underpins much of modern differential geometry and general relativity.
-
E.
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.
- 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_69d6aa5b0d2881909584b20efc5877f0 |
completed | April 8, 2026, 7:19 p.m. |
| NER | Named-entity recognition | batch_69d6e018d1e881909b8e62682104e842 |
completed | April 8, 2026, 11:09 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d97a8cabc88190b430cb08ed0fc515 |
completed | April 10, 2026, 10:32 p.m. |
Created at: April 8, 2026, 9:08 p.m.