Triple

T22423290
Position Surface form Disambiguated ID Type / Status
Subject Erdős distinct distances problem E554301 entity
Predicate improvedLowerBound P140216 FINISHED
Object c·n / log n LITERAL 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: c·n / log n | Statement: [Erdős distinct distances problem, improvedLowerBound, c·n / log n]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: improvedLowerBound
Context triple: [Erdős distinct distances problem, improvedLowerBound, c·n / log n]
  • A. knownLowerBoundProvedBy
    Indicates that a specific lower bound has been formally established or proven by a particular method, proof, or source.
  • B. boundedByApprox
    Indicates that one quantity is constrained by another within an approximate or tolerance-based bound, rather than an exact strict limit.
  • C. givesBoundOn
    Indicates that one quantity provides an upper or lower limit (a bound) on the value or behavior of another quantity.
  • D. lowerBoundGrowth chosen
    Indicates that one quantity grows at least as fast as another, establishing a minimum rate or bound on its growth relative to that reference.
  • E. isBoundedBelow
    Indicates that every value in a set or function is greater than or equal to some fixed lower bound.
  • F. None of above.

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_69e11e4f2d0c819091aa3558ea2ee630 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15a2af620819083338127e78137dc completed April 29, 2026, 1:08 a.m.
PD Predicate disambiguation batch_69e898a327948190beee5e168006a0a7 completed April 22, 2026, 9:45 a.m.
Created at: April 16, 2026, 8:47 p.m.