Triple

T27562817
Position Surface form Disambiguated ID Type / Status
Subject Legendre polynomials E695818 entity
Predicate satisfyRecurrence P25791 FINISHED
Object (n+1)P_{n+1}(x) = (2n+1)xP_n(x) - nP_{n-1}(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+1)P_{n+1}(x) = (2n+1)xP_n(x) - nP_{n-1}(x) | Statement: [Legendre polynomials, satisfyRecurrence, (n+1)P_{n+1}(x) = (2n+1)xP_n(x) - nP_{n-1}(x)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: satisfyRecurrence
Context triple: [Legendre polynomials, satisfyRecurrence, (n+1)P_{n+1}(x) = (2n+1)xP_n(x) - nP_{n-1}(x)]
  • A. satisfiesRecurrence chosen
    Indicates that one entity fulfills or conforms to a specified recurrence relation defined by another entity.
  • B. definesRecurrenceFor
    Indicates that one entity specifies or establishes the recurrence pattern or schedule that applies to another entity.
  • C. mayRecurAfter
    Indicates that an event, condition, or state has the potential to occur again following a previous occurrence.
  • D. recurringDuring
    Indicates that an event or state happens repeatedly within the time span or context defined by another event or interval.
  • E. recurrenceType
    Indicates the pattern or frequency with which an event or action repeats over time.
  • 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_69ef53891af88190a193c5e2a1dac9b1 completed April 27, 2026, 12:16 p.m.
NER Named-entity recognition batch_69f6359e3d3c81909814e2f0a7fb0ea9 completed May 2, 2026, 5:34 p.m.
PD Predicate disambiguation batch_69f631871c888190bf29466fe4254e51 completed May 2, 2026, 5:16 p.m.
Created at: April 27, 2026, 1:40 p.m.