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.