Triple
T1382992
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Saunders Mac Lane |
E29380
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
|
E157404
|
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: Categories for the Working Mathematician | Statement: [Saunders Mac Lane, notableWork, Categories for the Working Mathematician]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Categories for the Working Mathematician Context triple: [Saunders Mac Lane, notableWork, Categories for the Working Mathematician]
-
A.
Erlangen Program
The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
-
B.
Grothendieck universe
A Grothendieck universe is a set-theoretic construct large enough to contain all the usual objects and operations of mathematics, used to rigorously handle "large" categories while avoiding paradoxes.
-
C.
Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society is a monograph series featuring long, research-level works in pure and applied mathematics.
-
D.
Annals of Mathematics Studies
Annals of Mathematics Studies is a renowned monograph series in advanced mathematics published by Princeton University Press, featuring influential works across a wide range of mathematical fields.
-
E.
Princeton Mathematical Series
Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
- 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: Categories for the Working Mathematician Triple: [Saunders Mac Lane, notableWork, Categories for the Working Mathematician]
Generated description
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Categories for the Working Mathematician Target entity description: Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
-
A.
Erlangen Program
The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
-
B.
Grothendieck universe
A Grothendieck universe is a set-theoretic construct large enough to contain all the usual objects and operations of mathematics, used to rigorously handle "large" categories while avoiding paradoxes.
-
C.
Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society is a monograph series featuring long, research-level works in pure and applied mathematics.
-
D.
Annals of Mathematics Studies
Annals of Mathematics Studies is a renowned monograph series in advanced mathematics published by Princeton University Press, featuring influential works across a wide range of mathematical fields.
-
E.
Princeton Mathematical Series
Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
- 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_69a498d883a48190bfdca525296ef7ee |
completed | March 1, 2026, 7:51 p.m. |
| NER | Named-entity recognition | batch_69a4c3361bf08190b3f6bbf82e17685b |
completed | March 1, 2026, 10:52 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69acd48c41f4819092f7e1302d803662 |
completed | March 8, 2026, 1:44 a.m. |
| NEDg | Description generation | batch_69acd543a0ac8190b9fd5e921b5ad9ea |
completed | March 8, 2026, 1:47 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69acd5b8fa2481908fd52d94e55b6377 |
completed | March 8, 2026, 1:49 a.m. |
Created at: March 1, 2026, 7:59 p.m.