Triple

T20471153
Position Surface form Disambiguated ID Type / Status
Subject Hermite–Biehler theorem E502194 entity
Predicate givesCriterionFor P120597 FINISHED
Object all zeros of a polynomial lying in the open upper half-plane 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: all zeros of a polynomial lying in the open upper half-plane | Statement: [Hermite–Biehler theorem, givesCriterionFor, all zeros of a polynomial lying in the open upper half-plane]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: givesCriterionFor
Context triple: [Hermite–Biehler theorem, givesCriterionFor, all zeros of a polynomial lying in the open upper half-plane]
  • A. establishesCriterion chosen
    Indicates that an entity defines or sets a standard, rule, or condition by which another entity is to be judged, selected, or evaluated.
  • B. proposesCriterion
    Indicates that one entity suggests or puts forward a specific criterion to be considered or used by another entity or within a given context.
  • C. grantingCriteria
    Indicates the conditions or requirements that must be satisfied for something (such as a request, permission, or benefit) to be granted.
  • D. hasComparisonCriterion
    Indicates that one entity is used as the basis or standard by which another entity is compared or evaluated.
  • E. hasCriterionType
    Indicates that something is associated with or classified by a specific type of criterion used for evaluation or decision-making.
  • 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_69e0b4ae5f1081908768b0c9a3a0bf38 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e699608d7c8190910217817e789915 completed April 20, 2026, 9:23 p.m.
PD Predicate disambiguation batch_69e57679eb40819086142df3e39c928e completed April 20, 2026, 12:42 a.m.
Created at: April 16, 2026, 11:33 a.m.