Triple

T27562846
Position Surface form Disambiguated ID Type / Status
Subject Legendre polynomials E695818 entity
Predicate haveZeros P162706 FINISHED
Object n distinct simple zeros in (-1,1) for P_n(x) 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: n distinct simple zeros in (-1,1) for P_n(x) | Statement: [Legendre polynomials, haveZeros, n distinct simple zeros in (-1,1) for P_n(x)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: haveZeros
Context triple: [Legendre polynomials, haveZeros, n distinct simple zeros in (-1,1) for P_n(x)]
  • A. hasIndependentDigitZero
    Indicates that an entity possesses at least one digit or numeral component that is a zero considered as a distinct, standalone element.
  • B. hasZeroPosition
    Indicates that an entity occupies or is assigned to the reference (zero) position within a defined coordinate system or ordered structure.
  • C. conditionOnZeros
    Indicates that one entity’s state, behavior, or validity depends specifically on the presence, position, or pattern of zero values in another entity.
  • D. isZeroFor
    Indicates that a given value, expression, or function evaluates to zero when applied to or considered with respect to a specified entity or context.
  • E. isZeroIf
    Indicates that a value or expression becomes zero when a specified condition holds or a particular argument takes a given value.
  • F. None of above. chosen

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_69ef53891af88190a193c5e2a1dac9b1 completed April 27, 2026, 12:16 p.m.
NER Named-entity recognition batch_69f62fbbc4408190b9afd456a429f61b completed May 2, 2026, 5:09 p.m.
PD Predicate disambiguation batch_69f62c1921008190a62675a31f66a875 completed May 2, 2026, 4:53 p.m.
PDg Predicate description generation batch_69f62d14c24c81909e86678c1b5fd429 completed May 2, 2026, 4:57 p.m.
Created at: April 27, 2026, 1:40 p.m.