Triple

T10076759
Position Surface form Disambiguated ID Type / Status
Subject Harry Kesten E213782 entity
Predicate notableConcept P201 FINISHED
Object Kesten–Stigum theorem
The Kesten–Stigum theorem is a fundamental result in branching process theory that characterizes when a suitably normalized supercritical branching process converges to a non-degenerate limit.
E839311 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: Kesten–Stigum theorem | Statement: [Harry Kesten, notableConcept, Kesten–Stigum theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kesten–Stigum theorem
Context triple: [Harry Kesten, notableConcept, Kesten–Stigum theorem]
  • A. Slepian–Wolf coding theorem
    The Slepian–Wolf coding theorem is a fundamental result in information theory that characterizes the limits of lossless data compression for correlated sources encoded separately but decoded jointly.
  • B. Graham–Pollak theorem
    The Graham–Pollak theorem is a result in graph theory that states the edges of a complete graph on n vertices cannot be partitioned into fewer than n−1 complete bipartite subgraphs.
  • C. Blum axioms
    Blum axioms are a set of formal conditions introduced by Manuel Blum that rigorously define what constitutes a valid complexity measure in computational complexity theory.
  • D. Shannon–Hartley theorem
    The Shannon–Hartley theorem is a fundamental result in information theory that quantifies the maximum error-free data transmission rate over a communication channel with a given bandwidth and signal-to-noise ratio.
  • E. Szekeres–Lindström theorem
    The Szekeres–Lindström theorem is a result in combinatorics that characterizes the maximum size of intersecting families of subsets, serving as a precursor to and special case of the Erdős–Ko–Rado theorem.
  • 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: Kesten–Stigum theorem
Triple: [Harry Kesten, notableConcept, Kesten–Stigum theorem]
Generated description
The Kesten–Stigum theorem is a fundamental result in branching process theory that characterizes when a suitably normalized supercritical branching process converges to a non-degenerate limit.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Kesten–Stigum theorem
Target entity description: The Kesten–Stigum theorem is a fundamental result in branching process theory that characterizes when a suitably normalized supercritical branching process converges to a non-degenerate limit.
  • A. Slepian–Wolf coding theorem
    The Slepian–Wolf coding theorem is a fundamental result in information theory that characterizes the limits of lossless data compression for correlated sources encoded separately but decoded jointly.
  • B. Graham–Pollak theorem
    The Graham–Pollak theorem is a result in graph theory that states the edges of a complete graph on n vertices cannot be partitioned into fewer than n−1 complete bipartite subgraphs.
  • C. Blum axioms
    Blum axioms are a set of formal conditions introduced by Manuel Blum that rigorously define what constitutes a valid complexity measure in computational complexity theory.
  • D. Shannon–Hartley theorem
    The Shannon–Hartley theorem is a fundamental result in information theory that quantifies the maximum error-free data transmission rate over a communication channel with a given bandwidth and signal-to-noise ratio.
  • E. Szekeres–Lindström theorem
    The Szekeres–Lindström theorem is a result in combinatorics that characterizes the maximum size of intersecting families of subsets, serving as a precursor to and special case of the Erdős–Ko–Rado theorem.
  • 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_69ca839bf730819086900c323c9b8c95 completed March 30, 2026, 2:07 p.m.
NER Named-entity recognition batch_69cdd0190d808190847ea0fa401ef06c completed April 2, 2026, 2:10 a.m.
NED1 Entity disambiguation (via context triple) batch_69d29ac67cb48190ba53a87c3749a245 completed April 5, 2026, 5:24 p.m.
NEDg Description generation batch_69d29c98e470819098bdf9fa51f40d1f completed April 5, 2026, 5:32 p.m.
NED2 Entity disambiguation (via description) batch_69d29d0190988190891c264556856f60 completed April 5, 2026, 5:33 p.m.
Created at: March 30, 2026, 8:59 p.m.