Triple

T10829344
Position Surface form Disambiguated ID Type / Status
Subject K-theory E255574 entity
Predicate developedBy P73 FINISHED
Object Friedrich Hirzebruch E142524 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: Friedrich Hirzebruch | Statement: [K-theory, developedBy, Friedrich Hirzebruch]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Friedrich Hirzebruch
Context triple: [K-theory, developedBy, Friedrich Hirzebruch]
  • A. Friedrich Hirzebruch chosen
    Friedrich Hirzebruch was a German mathematician renowned for his foundational work in topology and algebraic geometry, particularly the Hirzebruch–Riemann–Roch theorem.
  • B. Isadore Singer
    Isadore Singer was an American mathematician renowned for co-formulating the Atiyah–Singer Index Theorem, a foundational result linking analysis, topology, and geometry.
  • C. John Milnor
    John Milnor is an American mathematician renowned for his groundbreaking work in differential topology, K-theory, and dynamical systems, and is one of the most influential figures in modern mathematics.
  • D. Heinz Hopf
    Heinz Hopf was a German mathematician renowned for his foundational contributions to topology, including the Hopf fibration and Hopf invariant.
  • E. Michael Atiyah
    Michael Atiyah was a renowned British-Lebanese mathematician celebrated for his fundamental contributions to topology and geometry, including the development of K-theory and the Atiyah–Singer Index Theorem.
  • 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_69d6aa8081448190a9324184f2bd1c26 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d74420fa188190b5b3c59e1a9f551d completed April 9, 2026, 6:16 a.m.
NED1 Entity disambiguation (via context triple) batch_69dff7c45f288190a5235b5d7000a32c completed April 15, 2026, 8:40 p.m.
Created at: April 8, 2026, 9:19 p.m.