Triple
T1422433
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Winning Ways for your Mathematical Plays |
E30253
|
entity |
| Predicate | coversConcept |
P1393
|
FINISHED |
| Object |
Hackenbush
Hackenbush is a combinatorial game played on colored line-graphs, famous in recreational mathematics for illustrating concepts in game theory and surreal numbers.
|
E163079
|
NE FINISHED |
How this triple was built (4 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: Hackenbush | Statement: [Winning Ways for your Mathematical Plays, coversConcept, Hackenbush]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hackenbush Context triple: [Winning Ways for your Mathematical Plays, coversConcept, Hackenbush]
-
A.
Conway’s Game of Sprouts
Conway’s Game of Sprouts is a pencil-and-paper topological game in which players alternately connect dots with lines under simple rules, leading to rich combinatorial and mathematical analysis.
-
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.
Mathematical Games
"Mathematical Games" is a long-running Scientific American column by Martin Gardner that popularized recreational mathematics and puzzles for a broad audience.
-
D.
On Numbers and Games
On Numbers and Games is a mathematical book by John H. Conway that introduces surreal numbers and explores combinatorial game theory in a rigorous yet playful style.
-
E.
Surreal numbers
Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Hackenbush Triple: [Winning Ways for your Mathematical Plays, coversConcept, Hackenbush]
Generated description
Hackenbush is a combinatorial game played on colored line-graphs, famous in recreational mathematics for illustrating concepts in game theory and surreal numbers.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Hackenbush Target entity description: Hackenbush is a combinatorial game played on colored line-graphs, famous in recreational mathematics for illustrating concepts in game theory and surreal numbers.
-
A.
Conway’s Game of Sprouts
Conway’s Game of Sprouts is a pencil-and-paper topological game in which players alternately connect dots with lines under simple rules, leading to rich combinatorial and mathematical analysis.
-
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.
Mathematical Games
"Mathematical Games" is a long-running Scientific American column by Martin Gardner that popularized recreational mathematics and puzzles for a broad audience.
-
D.
On Numbers and Games
On Numbers and Games is a mathematical book by John H. Conway that introduces surreal numbers and explores combinatorial game theory in a rigorous yet playful style.
-
E.
Surreal numbers
Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
- F. None of above. chosen
Provenance (5 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_69a498fb823c8190a67ce4c4837e641a |
completed | March 1, 2026, 7:52 p.m. |
| NER | Named-entity recognition | batch_69a4c4ba798881909c2259987248b030 |
completed | March 1, 2026, 10:59 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ad0161e23c819099a1c72627f13dd0 |
completed | March 8, 2026, 4:56 a.m. |
| NEDg | Description generation | batch_69ad01c53e808190824b9702c309f0a2 |
completed | March 8, 2026, 4:57 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69ad0241546881908f1044616255f146 |
completed | March 8, 2026, 4:59 a.m. |
Created at: March 1, 2026, 8 p.m.