Triple

T25930044
Position Surface form Disambiguated ID Type / Status
Subject Wythoff Nim E653413 entity
Predicate hasBeattySequenceProperty P165330 FINISHED
Object P-positions correspond to complementary Beatty sequences for φ and φ² 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: P-positions correspond to complementary Beatty sequences for φ and φ² | Statement: [Wythoff Nim, hasBeattySequenceProperty, P-positions correspond to complementary Beatty sequences for φ and φ²]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasBeattySequenceProperty
Context triple: [Wythoff Nim, hasBeattySequenceProperty, P-positions correspond to complementary Beatty sequences for φ and φ²]
  • A. hasGrundySequence
    Indicates that there exists a specific ordered sequence of Grundy numbers associated with the given entity or game position.
  • B. isLimitOfRatioOfConsecutiveTerms
    Indicates that one quantity is the limit of the ratio formed by dividing each term in a sequence by its immediately preceding term.
  • C. hasMinimalSumOfReciprocals
    Indicates that the related entities are arranged or selected such that the sum of the reciprocals of certain associated values is as small as possible compared to alternatives.
  • D. hasOrderlinessProperty
    Indicates that something possesses a characteristic related to order, organization, or structured arrangement.
  • E. hasEquidistribution
    Indicates that something is distributed uniformly or evenly across a given set, space, or range.
  • 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_69e7ab3eb9b881909c1390690551f868 completed April 21, 2026, 4:52 p.m.
NER Named-entity recognition batch_69f658a91ba0819084fbe3dd8a09f7cd completed May 2, 2026, 8:03 p.m.
PD Predicate disambiguation batch_69f6575ba12081909396036f78757a76 completed May 2, 2026, 7:58 p.m.
PDg Predicate description generation batch_69f657f2c8b08190bfeb3173ef78207d completed May 2, 2026, 8 p.m.
Created at: April 22, 2026, 8:36 a.m.