Triple
T5896701
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Pál Erdős |
E131117
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object |
Erdős number concept
The Erdős number concept is a measure of collaborative distance in mathematical research, indicating how many coauthorship links separate a given author from the prolific Hungarian mathematician Pál Erdős.
|
E554296
|
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: Erdős number concept | Statement: [Pál Erdős, knownFor, Erdős number concept]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Erdős number concept Context triple: [Pál Erdős, knownFor, Erdős number concept]
-
A.
Pál Erdős
Pál Erdős was a highly prolific 20th-century Hungarian mathematician renowned for his extensive contributions to number theory, combinatorics, and discrete mathematics, as well as his famously collaborative working style.
-
B.
Eddington number
The Eddington number is a dimensionless quantity in astrophysics that represents the maximum luminosity a star can have before radiation pressure overcomes gravitational attraction, leading to mass loss.
-
C.
Conway's 99-graph problem
Conway's 99-graph problem is an unsolved combinatorial question in graph theory, posed by John H. Conway, concerning the existence and properties of a hypothetical 99-vertex graph with highly constrained adjacency conditions.
-
D.
Dyson’s transform in number theory
Dyson’s transform in number theory is a combinatorial technique introduced by Freeman Dyson to manipulate and relate integer partitions, particularly in the study of partition identities and congruences.
-
E.
Mertens’ theorems
Mertens’ theorems are classical results in analytic number theory that give precise asymptotic estimates for sums involving the Möbius function and the reciprocals of primes, illuminating the distribution of primes and their connection to the Riemann zeta function.
- 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: Erdős number concept Triple: [Pál Erdős, knownFor, Erdős number concept]
Generated description
The Erdős number concept is a measure of collaborative distance in mathematical research, indicating how many coauthorship links separate a given author from the prolific Hungarian mathematician Pál Erdős.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Erdős number concept Target entity description: The Erdős number concept is a measure of collaborative distance in mathematical research, indicating how many coauthorship links separate a given author from the prolific Hungarian mathematician Pál Erdős.
-
A.
Pál Erdős
Pál Erdős was a highly prolific 20th-century Hungarian mathematician renowned for his extensive contributions to number theory, combinatorics, and discrete mathematics, as well as his famously collaborative working style.
-
B.
Eddington number
The Eddington number is a dimensionless quantity in astrophysics that represents the maximum luminosity a star can have before radiation pressure overcomes gravitational attraction, leading to mass loss.
-
C.
Conway's 99-graph problem
Conway's 99-graph problem is an unsolved combinatorial question in graph theory, posed by John H. Conway, concerning the existence and properties of a hypothetical 99-vertex graph with highly constrained adjacency conditions.
-
D.
Dyson’s transform in number theory
Dyson’s transform in number theory is a combinatorial technique introduced by Freeman Dyson to manipulate and relate integer partitions, particularly in the study of partition identities and congruences.
-
E.
Mertens’ theorems
Mertens’ theorems are classical results in analytic number theory that give precise asymptotic estimates for sums involving the Möbius function and the reciprocals of primes, illuminating the distribution of primes and their connection to the Riemann zeta function.
- 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_69c00857439c819095950754176aa58a |
completed | March 22, 2026, 3:18 p.m. |
| NER | Named-entity recognition | batch_69c036f4b56c8190aa52c9460eae8fbe |
completed | March 22, 2026, 6:37 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c0b159cb908190b78b78d1e854212b |
completed | March 23, 2026, 3:19 a.m. |
| NEDg | Description generation | batch_69c0b22d661c8190a055abd3ca6fa92f |
completed | March 23, 2026, 3:23 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c0b608a10881908c9bca7d09a99b05 |
completed | March 23, 2026, 3:39 a.m. |
Created at: March 22, 2026, 3:58 p.m.