Triple

T7278038
Position Surface form Disambiguated ID Type / Status
Subject Sprague–Grundy theorem E163078 entity
Predicate alsoKnownAs P39 FINISHED
Object Sprague–Grundy theory E163078 NE 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: Sprague–Grundy theory | Statement: [Sprague–Grundy theorem, alsoKnownAs, Sprague–Grundy theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Sprague–Grundy theory
Context triple: [Sprague–Grundy theorem, alsoKnownAs, Sprague–Grundy theory]
  • A. Sprague–Grundy theorem chosen
    The Sprague–Grundy theorem is a fundamental result in combinatorial game theory that assigns each impartial game position a nonnegative integer (its Grundy value), allowing such games to be analyzed and combined via nim-like addition.
  • B. Winning Ways for your Mathematical Plays
    Winning Ways for your Mathematical Plays is a multi-volume book on combinatorial game theory that popularizes and systematically explores mathematical games and their underlying structures.
  • C. Conway’s games
    Conway’s games are a class of combinatorial games introduced by mathematician John Horton Conway, forming the foundation of surreal numbers and studied for their rich algebraic and strategic properties.
  • D. The Dots and Boxes Game: Sophisticated Child's Play
    "The Dots and Boxes Game: Sophisticated Child's Play" is a mathematical analysis of the classic pencil-and-paper game Dots and Boxes, exploring its underlying combinatorial game theory and advanced strategies.
  • E. Wythoff Nim
    Wythoff Nim is a classic impartial combinatorial game involving two piles of tokens, whose optimal play is characterized by positions related to the golden ratio.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69c6885c5964819085b209701769877f completed March 27, 2026, 1:38 p.m.
NER Named-entity recognition batch_69c6eb309a648190a2a2f2cca9ce2f56 completed March 27, 2026, 8:40 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7eedbbc3c81909a02c4fb63e428c0 completed March 28, 2026, 3:08 p.m.
Created at: March 27, 2026, 2:59 p.m.