Triple

T2652982
Position Surface form Disambiguated ID Type / Status
Subject Whitney stratification E53942 entity
Predicate regularityCondition P19413 FINISHED
Object Whitney conditions E53942 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: Whitney conditions | Statement: [Whitney stratification, regularityCondition, Whitney conditions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Whitney conditions
Context triple: [Whitney stratification, regularityCondition, Whitney conditions]
  • A. Whitney stratification chosen
    Whitney stratification is a method in differential topology for decomposing singular spaces into smoothly compatible manifolds (strata) that fit together under specific regularity conditions, enabling rigorous analysis of singularities.
  • B. Whitney approximation theorem
    The Whitney approximation theorem is a fundamental result in differential topology stating that any continuous function between smooth manifolds can be uniformly approximated by smooth functions.
  • C. Weierstrass preparation theorem
    The Weierstrass preparation theorem is a fundamental result in complex analysis and analytic geometry that locally expresses analytic functions near a zero as a product of a polynomial and a unit, enabling a power-series analogue of factorization.
  • D. Whitney
    Whitney is the multi-platinum 1987 studio album by Whitney Houston that solidified her status as a global pop and R&B superstar.
  • E. Whitney
    Whitney is an unincorporated community and census-designated place in the Las Vegas Valley of Clark County, Nevada.
  • 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: regularityCondition
Context triple: [Whitney stratification, regularityCondition, Whitney conditions]
  • A. regularization
    Indicates the application of a constraint or penalty to a model or function to prevent overfitting and encourage simpler, more generalizable behavior.
  • B. conditionForNorm chosen
    Indicates that a certain condition or set of conditions must hold for a particular norm, rule, or obligation to be applicable or in force.
  • C. uniquenessCondition
    Indicates that a specified element, value, or combination of attributes must be unique within a given set, context, or domain, with no duplicates allowed.
  • D. subjectToRegulation
    Indicates that an entity is governed, constrained, or controlled by a specific rule, law, or regulatory framework.
  • E. regulatesIn
    Indicates that one entity controls, modulates, or influences the activity, expression, or behavior of another entity within a system or process.
  • 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_69ab495e192081909c77b622e8e7e15a completed March 6, 2026, 9:38 p.m.
NER Named-entity recognition batch_69abda0ba2208190ad87763ecbef8c3c completed March 7, 2026, 7:55 a.m.
NED1 Entity disambiguation (via context triple) batch_69af98ce81fc8190b7c6c66acfcb87c7 completed March 10, 2026, 4:06 a.m.
PD Predicate disambiguation batch_69abd815d06481909535c02b0aba8553 completed March 7, 2026, 7:47 a.m.
Created at: March 6, 2026, 9:53 p.m.