Triple

T1057062
Position Surface form Disambiguated ID Type / Status
Subject Riemann curvature tensor E22818 entity
Predicate equalsZeroIf P9150 FINISHED
Object manifold is locally isometric to Euclidean space LITERAL 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: manifold is locally isometric to Euclidean space | Statement: [Riemann curvature tensor, equalsZeroIf, manifold is locally isometric to Euclidean space]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: equalsZeroIf
Context triple: [Riemann curvature tensor, equalsZeroIf, manifold is locally isometric to Euclidean space]
  • A. isZeroFor chosen
    Indicates that a given value, expression, or function evaluates to zero when applied to or considered with respect to a specified entity or context.
  • B. isNonzeroFor
    Indicates that a given value, function, or quantity is not equal to zero under specified conditions or for specified inputs.
  • C. hasIndependentDigitZero
    Indicates that an entity possesses at least one digit or numeral component that is a zero considered as a distinct, standalone element.
  • D. isNonNegative
    Indicates that a value is greater than or equal to zero.
  • E. isMinimumWhen
    Indicates that a value or state is at its smallest or least level precisely under certain specified conditions or circumstances.
  • F. None of above.

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_69a493dada0481909c43649f9843ea91 completed March 1, 2026, 7:30 p.m.
NER Named-entity recognition batch_69a4ba6e35ac8190802341c31bda0e3b completed March 1, 2026, 10:15 p.m.
PD Predicate disambiguation batch_69a4b7340a048190807363f19d17a58f completed March 1, 2026, 10:01 p.m.
Created at: March 1, 2026, 7:42 p.m.