Triple

T20690799
Position Surface form Disambiguated ID Type / Status
Subject Witten–Reshetikhin–Turaev invariant E508543 entity
Predicate relatedTo P37 FINISHED
Object HOMFLY-PT polynomial — NE NERFINISHED

How this triple was built (2 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: HOMFLY-PT polynomial | Statement: [Witten–Reshetikhin–Turaev invariant, relatedTo, HOMFLY-PT polynomial]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: HOMFLY-PT polynomial
Context triple: [Witten–Reshetikhin–Turaev invariant, relatedTo, HOMFLY-PT polynomial]
  • A. HOMFLY-PT polynomial chosen
    The HOMFLY-PT polynomial is a powerful knot and link invariant in knot theory that generalizes both the Alexander and Jones polynomials.
  • B. Jones polynomial
    The Jones polynomial is a powerful knot invariant in topology that assigns to each knot or link a Laurent polynomial, enabling the distinction of many knots that are indistinguishable by classical invariants.
  • C. 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.
  • D. HOMFLY-PT homology
    HOMFLY-PT homology is a triply graded link homology theory in knot theory whose graded Euler characteristic recovers the HOMFLY-PT polynomial, providing a powerful categorified invariant of links.
  • E. Alexander polynomial
    The Alexander polynomial is a classical knot invariant in algebraic topology that assigns a Laurent polynomial to each knot or link, capturing essential information about its topological structure.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0b4c1ed408190b72dd26b1e33f8a1 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e6c10d83548190a52b9ef84c8f9205 completed April 21, 2026, 12:13 a.m.
Created at: April 16, 2026, 12:08 p.m.