Triple

T16249698
Position Surface form Disambiguated ID Type / Status
Subject Boltzmann–Kac equation E394467 entity
Predicate namedAfter P63 FINISHED
Object Mark Kac E16842 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: Mark Kac | Statement: [Boltzmann–Kac equation, namedAfter, Mark Kac]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Mark Kac
Context triple: [Boltzmann–Kac equation, namedAfter, Mark Kac]
  • A. Mark Kac chosen
    Mark Kac was a Polish-American mathematician renowned for his work in probability theory and mathematical physics, particularly for linking stochastic processes with partial differential equations.
  • B. Hermann Kesten
    Hermann Kesten was a German-Jewish writer, editor, and prominent figure in the literary exile movement, known for his advocacy of persecuted authors and his leadership in the PEN Center of German-Speaking Authors Abroad.
  • C. Stanislaw Ulam
    Stanislaw Ulam was a Polish-American mathematician and physicist known for his key contributions to the development of the hydrogen bomb, the Monte Carlo method, and early work in computing and set theory.
  • D. Leo Kadanoff
    Leo Kadanoff was an influential American physicist renowned for his pioneering work on phase transitions and the renormalization group, which helped lay the foundations of modern statistical physics and condensed matter theory.
  • E. Martin Gutzwiller
    Martin Gutzwiller was a Swiss-American physicist best known for his pioneering work in quantum chaos and the development of the Gutzwiller trace formula.
  • 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_69d87f2171208190951025e526947816 completed April 10, 2026, 4:40 a.m.
NER Named-entity recognition batch_69e2459606f88190a53905186f7f73be completed April 17, 2026, 2:37 p.m.
NED1 Entity disambiguation (via context triple) batch_6a000ee568a48190835ce76f84461044 completed May 10, 2026, 4:51 a.m.
Created at: April 10, 2026, 5:04 a.m.