Triple

T7450498
Position Surface form Disambiguated ID Type / Status
Subject HOMFLY-PT polynomial E171994 entity
Predicate introducedIndependentlyBy P53618 FINISHED
Object Józef H. Przytycki
Józef H. Przytycki is a Polish mathematician and knot theorist known for his independent co-introduction of the HOMFLY-PT polynomial, a fundamental invariant in knot theory.
E665094 NE FINISHED

How this triple was built (5 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: Józef H. Przytycki | Statement: [HOMFLY-PT polynomial, introducedIndependentlyBy, Józef H. Przytycki]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Józef H. Przytycki
Context triple: [HOMFLY-PT polynomial, introducedIndependentlyBy, Józef H. Przytycki]
  • A. Stefan Mazurkiewicz
    Stefan Mazurkiewicz was a Polish mathematician known for his contributions to topology, measure theory, and probability, and as a prominent member of the Warsaw School of Mathematics.
  • B. Karol Borsuk
    Karol Borsuk was a Polish mathematician best known for his contributions to topology, including the Borsuk–Ulam theorem and work on retracts and shape theory.
  • C. Jan A. P. Kaczmarek
    Jan A. P. Kaczmarek was an Academy Award–winning Polish composer best known for his evocative film scores, including the music for "Finding Neverland."
  • D. Wojciech Nowak
    Wojciech Nowak is a Polish personal name shared by several individuals across fields such as academia, sports, and public life.
  • E. Jacek Malczewski
    Jacek Malczewski was a prominent Polish painter associated with Symbolism, known for his allegorical and patriotic works at the turn of the 19th and 20th centuries.
  • 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: Józef H. Przytycki
Triple: [HOMFLY-PT polynomial, introducedIndependentlyBy, Józef H. Przytycki]
Generated description
Józef H. Przytycki is a Polish mathematician and knot theorist known for his independent co-introduction of the HOMFLY-PT polynomial, a fundamental invariant in knot theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Józef H. Przytycki
Target entity description: Józef H. Przytycki is a Polish mathematician and knot theorist known for his independent co-introduction of the HOMFLY-PT polynomial, a fundamental invariant in knot theory.
  • A. Stefan Mazurkiewicz
    Stefan Mazurkiewicz was a Polish mathematician known for his contributions to topology, measure theory, and probability, and as a prominent member of the Warsaw School of Mathematics.
  • B. Karol Borsuk
    Karol Borsuk was a Polish mathematician best known for his contributions to topology, including the Borsuk–Ulam theorem and work on retracts and shape theory.
  • C. Jan A. P. Kaczmarek
    Jan A. P. Kaczmarek was an Academy Award–winning Polish composer best known for his evocative film scores, including the music for "Finding Neverland."
  • D. Wojciech Nowak
    Wojciech Nowak is a Polish personal name shared by several individuals across fields such as academia, sports, and public life.
  • E. Jacek Malczewski
    Jacek Malczewski was a prominent Polish painter associated with Symbolism, known for his allegorical and patriotic works at the turn of the 19th and 20th centuries.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: introducedIndependentlyBy
Context triple: [HOMFLY-PT polynomial, introducedIndependentlyBy, Józef H. Przytycki]
  • A. firstAnnouncedBy
    Indicates that one entity is the original source or originator that publicly disclosed, reported, or made known another entity or item for the first time.
  • B. independentlyFormulated chosen
    Indicates that multiple entities arrived at the same or similar idea, result, or formulation without influencing or relying on each other.
  • C. wasInventedBy
    Indicates that something (typically an object, concept, or process) was created or brought into existence by a particular inventor or originator.
  • D. co-discoveredWith
    Indicates that two or more entities jointly discovered the same object, phenomenon, or finding.
  • E. introducedVia
    Indicates that one entity was brought to the attention, presence, or awareness of another entity through a specific intermediary, method, or channel.
  • F. None of above.

Provenance (6 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.
PD Predicate disambiguation batch_69c6f039f7248190bb4183f97b605763 completed March 27, 2026, 9:01 p.m.
Created at: March 27, 2026, 3:14 p.m.