Triple

T20690866
Position Surface form Disambiguated ID Type / Status
Subject Donaldson invariants E508544 entity
Predicate hasVariant P455 FINISHED
Object Donaldson polynomial
The Donaldson polynomial is a specific type of Donaldson invariant that encodes smooth four-manifold topology through polynomial-valued functions derived from moduli spaces of anti-self-dual connections.
E1447642 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: Donaldson polynomial | Statement: [Donaldson invariants, hasVariant, Donaldson polynomial]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Donaldson polynomial
Context triple: [Donaldson invariants, hasVariant, Donaldson polynomial]
  • A. 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.
  • B. 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.
  • C. HOMFLY-PT polynomial
    The HOMFLY-PT polynomial is a powerful knot and link invariant in knot theory that generalizes both the Alexander and Jones polynomials.
  • D. 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.
  • E. Conway polynomial
    The Conway polynomial is an invariant of knots and links in topology that assigns a polynomial to each knot, capturing essential information about its structure and helping distinguish non-equivalent knots.
  • 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: Donaldson polynomial
Triple: [Donaldson invariants, hasVariant, Donaldson polynomial]
Generated description
The Donaldson polynomial is a specific type of Donaldson invariant that encodes smooth four-manifold topology through polynomial-valued functions derived from moduli spaces of anti-self-dual connections.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Donaldson polynomial
Target entity description: The Donaldson polynomial is a specific type of Donaldson invariant that encodes smooth four-manifold topology through polynomial-valued functions derived from moduli spaces of anti-self-dual connections.
  • A. 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.
  • B. 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.
  • C. HOMFLY-PT polynomial
    The HOMFLY-PT polynomial is a powerful knot and link invariant in knot theory that generalizes both the Alexander and Jones polynomials.
  • D. 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.
  • E. Conway polynomial
    The Conway polynomial is an invariant of knots and links in topology that assigns a polynomial to each knot, capturing essential information about its structure and helping distinguish non-equivalent knots.
  • 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_69e0b4c1ed408190b72dd26b1e33f8a1 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e6c10d83548190a52b9ef84c8f9205 completed April 21, 2026, 12:13 a.m.
NED1 Entity disambiguation (via context triple) batch_6a08e046e4388190b9a347c246c4ad58 completed May 16, 2026, 9:23 p.m.
NEDg Description generation batch_6a08e52bd83c8190988400dd3319884a completed May 16, 2026, 9:44 p.m.
NED2 Entity disambiguation (via description) batch_6a08e57f6fec8190b17cbba543650f9e completed May 16, 2026, 9:45 p.m.
Created at: April 16, 2026, 12:08 p.m.