Triple
T6293590
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bernoulli numbers |
E141076
|
entity |
| Predicate | sequenceID |
P70742
|
FINISHED |
| Object | OEIS:A164555 (Bernoulli numbers B_n) |
E141076
|
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: OEIS:A164555 (Bernoulli numbers B_n) | Statement: [Bernoulli numbers, sequenceID, OEIS:A164555 (Bernoulli numbers B_n)]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: OEIS:A164555 (Bernoulli numbers B_n) Context triple: [Bernoulli numbers, sequenceID, OEIS:A164555 (Bernoulli numbers B_n)]
-
A.
Bernoulli numbers
chosen
Bernoulli numbers are a sequence of rational numbers that play a central role in number theory and analysis, especially in formulas for sums of powers of integers and in the study of special functions like the Riemann zeta function.
-
B.
OEIS A064988
OEIS A064988 is the entry in the On-Line Encyclopedia of Integer Sequences that records the decimal expansion of Gauss’s constant, a notable mathematical constant arising in elliptic integrals and number theory.
-
C.
Sylvester sequence
The Sylvester sequence is an integer sequence defined recursively where each term is one more than the product of all previous terms, yielding rapidly growing, pairwise coprime numbers closely related to Egyptian fraction representations.
-
D.
Ramanujan’s sum
Ramanujan’s sum is a number-theoretic function introduced by Srinivasa Ramanujan, expressing certain periodic arithmetic functions as finite trigonometric sums over primitive roots of unity.
-
E.
Bernstein polynomials
Bernstein polynomials are a family of polynomials used in approximation theory that provide a constructive proof of the Weierstrass approximation theorem by uniformly approximating continuous functions on a closed interval.
- 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_69c008cdf2ac8190bb640c94478fb4ed |
completed | March 22, 2026, 3:20 p.m. |
| NER | Named-entity recognition | batch_69c06741fbbc81908d947182b197bf59 |
completed | March 22, 2026, 10:03 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c51988f1388190b36212b0d9756863 |
completed | March 26, 2026, 11:33 a.m. |
Created at: March 22, 2026, 4:27 p.m.