Triple
T10388496
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Vladimir Voevodsky |
E244828
|
entity |
| Predicate | notableIdea |
P4
|
FINISHED |
| Object |
univalent foundations program
The univalent foundations program is a research initiative that redefines the foundations of mathematics using homotopy type theory, emphasizing computationally verifiable proofs and new connections between logic, topology, and category theory.
|
E860090
|
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: univalent foundations program | Statement: [Vladimir Voevodsky, notableIdea, univalent foundations program]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: univalent foundations program Context triple: [Vladimir Voevodsky, notableIdea, univalent foundations program]
-
A.
Archive of Formal Proofs
The Archive of Formal Proofs is an online, peer-reviewed collection of machine-checked mathematical and computer science proofs formalized primarily in the Isabelle proof assistant.
-
B.
Isabelle proof assistant
Isabelle proof assistant is a widely used interactive theorem prover and generic proof assistant designed for formal verification and mathematical logic, particularly known for its support of higher-order logic.
-
C.
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.
-
D.
Recent Synthetic Differential Geometry
"Recent Synthetic Differential Geometry" is a mathematical work by Herbert Busemann that develops differential geometry using synthetic, axiomatic methods rather than traditional analytic techniques.
-
E.
Grothendieck toposes
Grothendieck toposes are highly structured categories that generalize topological spaces and serve as a unifying framework for geometry, logic, and cohomology in modern mathematics.
- 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: univalent foundations program Triple: [Vladimir Voevodsky, notableIdea, univalent foundations program]
Generated description
The univalent foundations program is a research initiative that redefines the foundations of mathematics using homotopy type theory, emphasizing computationally verifiable proofs and new connections between logic, topology, and category theory.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: univalent foundations program Target entity description: The univalent foundations program is a research initiative that redefines the foundations of mathematics using homotopy type theory, emphasizing computationally verifiable proofs and new connections between logic, topology, and category theory.
-
A.
Archive of Formal Proofs
The Archive of Formal Proofs is an online, peer-reviewed collection of machine-checked mathematical and computer science proofs formalized primarily in the Isabelle proof assistant.
-
B.
Isabelle proof assistant
Isabelle proof assistant is a widely used interactive theorem prover and generic proof assistant designed for formal verification and mathematical logic, particularly known for its support of higher-order logic.
-
C.
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.
-
D.
Recent Synthetic Differential Geometry
"Recent Synthetic Differential Geometry" is a mathematical work by Herbert Busemann that develops differential geometry using synthetic, axiomatic methods rather than traditional analytic techniques.
-
E.
Grothendieck toposes
Grothendieck toposes are highly structured categories that generalize topological spaces and serve as a unifying framework for geometry, logic, and cohomology in modern mathematics.
- 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_69d381b5116081908d85227bab6d3c0c |
completed | April 6, 2026, 9:49 a.m. |
| NER | Named-entity recognition | batch_69d4e9a59d688190b1da1ea0ed48fafa |
completed | April 7, 2026, 11:25 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d795b2423c8190a7c0e9b6fcbcc6db |
completed | April 9, 2026, 12:04 p.m. |
| NEDg | Description generation | batch_69d7998acbf881909b6f063c4bf2d0a6 |
completed | April 9, 2026, 12:20 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69d79aa0cc5481908bc14cda8fb6e8b1 |
completed | April 9, 2026, 12:25 p.m. |
Created at: April 6, 2026, 12:05 p.m.