Triple

T8640804
Position Surface form Disambiguated ID Type / Status
Subject Erdős–Rényi model E204641 entity
Predicate hasVariant P455 FINISHED
Object G(n,p) model E204641 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: G(n,p) model | Statement: [Erdős–Rényi model, hasVariant, G(n,p) model]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: G(n,p) model
Context triple: [Erdős–Rényi model, hasVariant, G(n,p) model]
  • A. Erdős–Rényi model chosen
    The Erdős–Rényi model is a fundamental random graph model in probability theory and network science, where edges between pairs of nodes are included independently with a fixed probability.
  • B. Erdős–Rényi law of large numbers
    The Erdős–Rényi law of large numbers is a refinement of the classical law of large numbers that provides precise asymptotic behavior and convergence rates for sums of independent random variables, developed by mathematicians Pál Erdős and Alfréd Rényi.
  • C. Pólya’s urn model
    Pólya’s urn model is a classic probabilistic scheme in which drawing and then reinforcing the color of balls in an urn produces rich-get-richer dynamics and illustrates concepts like contagion, dependence, and random reinforcement.
  • D. Erdős–Stone theorem
    The Erdős–Stone theorem is a fundamental result in extremal graph theory that asymptotically determines the maximum number of edges in an n-vertex graph that avoids containing a given subgraph.
  • E. Erdős–Gallai theorem
    The Erdős–Gallai theorem is a fundamental result in graph theory that characterizes which sequences of nonnegative integers can occur as the degree sequences of simple graphs.
  • 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_69ca834ca1c88190a11ffb0200342fac completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cc47944d1c819081f448f14d04bf9d completed March 31, 2026, 10:15 p.m.
NED1 Entity disambiguation (via context triple) batch_69cebc3b1f508190978df29d995f494c completed April 2, 2026, 6:58 p.m.
Created at: March 30, 2026, 6:28 p.m.