Triple

T21046947
Position Surface form Disambiguated ID Type / Status
Subject orthogonal group O(n) E518473 entity
Predicate symbol P129 FINISHED
Object O(n) — NE NERFINISHED

How this triple was built (3 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: O(n) | Statement: [orthogonal group O(n), symbol, O(n)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: O(n)
Context triple: [orthogonal group O(n), symbol, O(n)]
  • A. O.
    O. is the middle initial of Mark O. Hatfield, the long-serving U.S. Senator and former Governor of Oregon.
  • B. the O
    The O is MONA’s custom digital guide app that provides visitors with interactive information, commentary, and navigation throughout the Museum of Old and New Art.
  • C. E(n)
    E(n) is the Euclidean group of dimension n, consisting of all distance-preserving transformations (rotations, reflections, and translations) of n-dimensional Euclidean space.
  • D. O1
    O1 was the first observing run of the Advanced LIGO–Virgo gravitational-wave detectors, during which the earliest confirmed gravitational-wave signals from binary black hole mergers were recorded.
  • E. O
    O is a renowned Cirque du Soleil aquatic-themed stage production in Las Vegas, celebrated for its elaborate water-based acrobatics and visual spectacle.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: O(n)
Target entity description: O(n) is the standard notation for the orthogonal group of degree n, consisting of all n×n real matrices that preserve the Euclidean inner product.
  • A. O.
    O. is the middle initial of Mark O. Hatfield, the long-serving U.S. Senator and former Governor of Oregon.
  • B. the O
    The O is MONA’s custom digital guide app that provides visitors with interactive information, commentary, and navigation throughout the Museum of Old and New Art.
  • C. E(n)
    E(n) is the Euclidean group of dimension n, consisting of all distance-preserving transformations (rotations, reflections, and translations) of n-dimensional Euclidean space.
  • D. O1
    O1 was the first observing run of the Advanced LIGO–Virgo gravitational-wave detectors, during which the earliest confirmed gravitational-wave signals from binary black hole mergers were recorded.
  • E. O
    O is a renowned Cirque du Soleil aquatic-themed stage production in Las Vegas, celebrated for its elaborate water-based acrobatics and visual spectacle.
  • F. None of above. chosen

Provenance (2 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_69e0b50438e08190917e2538bb8bc034 completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e6fcf4d26481908b639996500a8319 completed April 21, 2026, 4:28 a.m.
Created at: April 16, 2026, 2:34 p.m.