Triple

T7450469
Position Surface form Disambiguated ID Type / Status
Subject HOMFLY-PT polynomial E171994 entity
Predicate alsoKnownAs P39 FINISHED
Object HOMFLYPT polynomial E171994 NE FINISHED

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: HOMFLYPT polynomial | Statement: [HOMFLY-PT polynomial, alsoKnownAs, HOMFLYPT polynomial]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: HOMFLYPT polynomial
Context triple: [HOMFLY-PT polynomial, alsoKnownAs, HOMFLYPT 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 (3 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_69c83c57e1d0819081562638236debce completed March 28, 2026, 8:38 p.m.
Created at: March 27, 2026, 3:14 p.m.