Triple
T17105425
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Erik Verlinde |
E415085
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object |
Verlinde algebra
Verlinde algebra is a mathematical structure arising in conformal field theory and representation theory that encodes the fusion rules of primary fields or representations.
|
E1250502
|
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: Verlinde algebra | Statement: [Erik Verlinde, knownFor, Verlinde algebra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Verlinde algebra Context triple: [Erik Verlinde, knownFor, Verlinde algebra]
-
A.
Schur–Weyl duality
Schur–Weyl duality is a fundamental result in representation theory that links representations of the symmetric group and the general linear group via their commuting actions on tensor powers of a vector space.
-
B.
Symanzik polynomials
Symanzik polynomials are graph-based polynomials that arise in the parametric representation of Feynman integrals in quantum field theory, encoding the topology and kinematic dependence of Feynman diagrams.
-
C.
Duistermaat–Heckman formula
The Duistermaat–Heckman formula is a result in symplectic geometry that describes how the pushforward of the Liouville measure under a moment map behaves, showing it is piecewise polynomial and linking geometry with equivariant localization techniques.
-
D.
Temperley–Lieb algebra
The Temperley–Lieb algebra is a diagrammatic algebra arising in statistical mechanics and knot theory, central to the study of exactly solvable models and link invariants.
-
E.
Macdonald polynomials
Macdonald polynomials are a family of orthogonal symmetric functions depending on two parameters that generalize several classical symmetric polynomials, such as Schur and Jack polynomials, and play a central role in algebraic combinatorics and representation theory.
- 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: Verlinde algebra Triple: [Erik Verlinde, knownFor, Verlinde algebra]
Generated description
Verlinde algebra is a mathematical structure arising in conformal field theory and representation theory that encodes the fusion rules of primary fields or representations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Verlinde algebra Target entity description: Verlinde algebra is a mathematical structure arising in conformal field theory and representation theory that encodes the fusion rules of primary fields or representations.
-
A.
Schur–Weyl duality
Schur–Weyl duality is a fundamental result in representation theory that links representations of the symmetric group and the general linear group via their commuting actions on tensor powers of a vector space.
-
B.
Symanzik polynomials
Symanzik polynomials are graph-based polynomials that arise in the parametric representation of Feynman integrals in quantum field theory, encoding the topology and kinematic dependence of Feynman diagrams.
-
C.
Duistermaat–Heckman formula
The Duistermaat–Heckman formula is a result in symplectic geometry that describes how the pushforward of the Liouville measure under a moment map behaves, showing it is piecewise polynomial and linking geometry with equivariant localization techniques.
-
D.
Temperley–Lieb algebra
The Temperley–Lieb algebra is a diagrammatic algebra arising in statistical mechanics and knot theory, central to the study of exactly solvable models and link invariants.
-
E.
Macdonald polynomials
Macdonald polynomials are a family of orthogonal symmetric functions depending on two parameters that generalize several classical symmetric polynomials, such as Schur and Jack polynomials, and play a central role in algebraic combinatorics and representation theory.
- 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_69d886cfc8e88190b05ba466edd35591 |
completed | April 10, 2026, 5:12 a.m. |
| NER | Named-entity recognition | batch_69e3dc2683fc81908af2df9012addecb |
completed | April 18, 2026, 7:31 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0139ffbe808190a24e827331ee4a6c |
completed | May 11, 2026, 2:07 a.m. |
| NEDg | Description generation | batch_6a013ae388548190b09d2c81e1ab0d02 |
completed | May 11, 2026, 2:11 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a013b4df74c81908b3b99e276531e13 |
completed | May 11, 2026, 2:13 a.m. |
Created at: April 10, 2026, 5:35 a.m.