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.