Triple
T7450474
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | HOMFLY-PT polynomial |
E171994
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
Lickorish
Lickorish is a mathematician known for his influential contributions to low-dimensional topology and knot theory.
|
E665086
|
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: Lickorish | Statement: [HOMFLY-PT polynomial, namedAfter, Lickorish]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lickorish Context triple: [HOMFLY-PT polynomial, namedAfter, Lickorish]
-
A.
Wirtinger presentation of knot groups
The Wirtinger presentation of knot groups is a classical method in knot theory that describes the fundamental group of a knot complement using generators and relations derived from a knot diagram.
-
B.
Hoste–Thistlethwaite–Weeks knot tables
The Hoste–Thistlethwaite–Weeks knot tables are comprehensive, systematically generated lists of prime knots (and links) organized by crossing number, widely used as a modern extension and refinement of classical knot tabulations in knot theory.
-
C.
Vaughan Jones
Vaughan Jones was a New Zealand mathematician renowned for his groundbreaking work in knot theory and operator algebras, for which he received the Fields Medal.
-
D.
Dowker–Thistlethwaite notation
Dowker–Thistlethwaite notation is a numerical encoding system used in knot theory to uniquely represent knot diagrams and facilitate their classification and study.
-
E.
Kauffman polynomial
The Kauffman polynomial is a two-variable knot invariant in knot theory that generalizes and extends the information captured by the Jones polynomial.
- 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: Lickorish Triple: [HOMFLY-PT polynomial, namedAfter, Lickorish]
Generated description
Lickorish is a mathematician known for his influential contributions to low-dimensional topology and knot theory.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Lickorish Target entity description: Lickorish is a mathematician known for his influential contributions to low-dimensional topology and knot theory.
-
A.
Wirtinger presentation of knot groups
The Wirtinger presentation of knot groups is a classical method in knot theory that describes the fundamental group of a knot complement using generators and relations derived from a knot diagram.
-
B.
Hoste–Thistlethwaite–Weeks knot tables
The Hoste–Thistlethwaite–Weeks knot tables are comprehensive, systematically generated lists of prime knots (and links) organized by crossing number, widely used as a modern extension and refinement of classical knot tabulations in knot theory.
-
C.
Vaughan Jones
Vaughan Jones was a New Zealand mathematician renowned for his groundbreaking work in knot theory and operator algebras, for which he received the Fields Medal.
-
D.
Dowker–Thistlethwaite notation
Dowker–Thistlethwaite notation is a numerical encoding system used in knot theory to uniquely represent knot diagrams and facilitate their classification and study.
-
E.
Kauffman polynomial
The Kauffman polynomial is a two-variable knot invariant in knot theory that generalizes and extends the information captured by the Jones polynomial.
- 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_69c68a66554c8190add75c65942c0317 |
completed | March 27, 2026, 1:47 p.m. |
| NER | Named-entity recognition | batch_69c6f38af3fc8190bc5c57ca89d976bc |
completed | March 27, 2026, 9:15 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c827b54a4881909f800bf37990a297 |
completed | March 28, 2026, 7:10 p.m. |
| NEDg | Description generation | batch_69c828ca24bc81909357b9f40a9004af |
completed | March 28, 2026, 7:15 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69c8297c1de4819099acfac611a519e5 |
completed | March 28, 2026, 7:18 p.m. |
Created at: March 27, 2026, 3:14 p.m.