Triple

T7450499
Position Surface form Disambiguated ID Type / Status
Subject HOMFLY-PT polynomial E171994 entity
Predicate introducedIndependentlyBy P53618 FINISHED
Object Paweł Traczyk
Paweł Traczyk is a mathematician known for his independent co-introduction of the HOMFLY-PT polynomial, a fundamental knot invariant in knot theory.
E667984 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: Paweł Traczyk | Statement: [HOMFLY-PT polynomial, introducedIndependentlyBy, Paweł Traczyk]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Paweł Traczyk
Context triple: [HOMFLY-PT polynomial, introducedIndependentlyBy, Paweł Traczyk]
  • A. Rafał Dutkiewicz
    Rafał Dutkiewicz is a Polish politician and mathematician best known for serving as the long-time mayor of Wrocław, where he oversaw significant urban development and modernization.
  • B. Maciej Rybiński
    Maciej Rybiński was a Polish general best known as one of the last commanders-in-chief of the Polish forces during the November Uprising against the Russian Empire in 1830–1831.
  • C. Paweł Nowak
    Paweł Nowak is a Polish individual notable enough to be recognized as a prominent bearer of the common surname Nowak.
  • D. Grzegorz Napieralski
    Grzegorz Napieralski is a Polish left-wing politician who served as a prominent leader of the Democratic Left Alliance and a member of the Polish parliament and European Parliament.
  • E. Piotr Stanczyk
    Piotr Stanczyk is a Polish-Canadian ballet dancer renowned as a longtime principal artist with the National Ballet of Canada, acclaimed for his powerful technique and dramatic stage presence.
  • 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: Paweł Traczyk
Triple: [HOMFLY-PT polynomial, introducedIndependentlyBy, Paweł Traczyk]
Generated description
Paweł Traczyk is a mathematician known for his independent co-introduction of the HOMFLY-PT polynomial, a fundamental knot invariant in knot theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Paweł Traczyk
Target entity description: Paweł Traczyk is a mathematician known for his independent co-introduction of the HOMFLY-PT polynomial, a fundamental knot invariant in knot theory.
  • A. Rafał Dutkiewicz
    Rafał Dutkiewicz is a Polish politician and mathematician best known for serving as the long-time mayor of Wrocław, where he oversaw significant urban development and modernization.
  • B. Maciej Rybiński
    Maciej Rybiński was a Polish general best known as one of the last commanders-in-chief of the Polish forces during the November Uprising against the Russian Empire in 1830–1831.
  • C. Paweł Nowak
    Paweł Nowak is a Polish individual notable enough to be recognized as a prominent bearer of the common surname Nowak.
  • D. Grzegorz Napieralski
    Grzegorz Napieralski is a Polish left-wing politician who served as a prominent leader of the Democratic Left Alliance and a member of the Polish parliament and European Parliament.
  • E. Piotr Stanczyk
    Piotr Stanczyk is a Polish-Canadian ballet dancer renowned as a longtime principal artist with the National Ballet of Canada, acclaimed for his powerful technique and dramatic stage presence.
  • 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_69c6f4ec85488190a1f7fb913e0fbe35 completed March 27, 2026, 9:21 p.m.
NED1 Entity disambiguation (via context triple) batch_69c83c57e1d0819081562638236debce completed March 28, 2026, 8:38 p.m.
NEDg Description generation batch_69c83e244d408190b96b1db58e754a88 completed March 28, 2026, 8:46 p.m.
NED2 Entity disambiguation (via description) batch_69c83e9189e4819093a8fe97895e2f9f completed March 28, 2026, 8:48 p.m.
Created at: March 27, 2026, 3:14 p.m.