Triple

T1382611
Position Surface form Disambiguated ID Type / Status
Subject Gauss’s constant E29371 entity
Predicate catalogCode P8090 FINISHED
Object 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.
E157394 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: OEIS A064988 | Statement: [Gauss’s constant, catalogCode, OEIS A064988]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: OEIS A064988
Context triple: [Gauss’s constant, catalogCode, OEIS A064988]
  • A. Look-and-say sequence
    The look-and-say sequence is a famous integer sequence where each term is generated by verbally describing the digits of the previous term, studied for its surprising combinatorial and growth properties.
  • B. Ulam sequence
    The Ulam sequence is an integer sequence starting with 1 and 2 in which each subsequent term is the smallest integer that can be written uniquely as the sum of two distinct earlier terms.
  • C. Bernoulli numbers
    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.
  • D. Hardy–Ramanujan asymptotic formula
    The Hardy–Ramanujan asymptotic formula is a landmark result in number theory that gives an approximate expression for the partition function p(n), describing how the number of integer partitions of n grows rapidly with n.
  • E. Pascal's triangle
    Pascal's triangle is a triangular array of numbers in which each entry is the sum of the two directly above it, widely used in combinatorics, algebra, and probability.
  • 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: OEIS A064988
Triple: [Gauss’s constant, catalogCode, OEIS A064988]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: OEIS A064988
Target entity description: 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.
  • A. Look-and-say sequence
    The look-and-say sequence is a famous integer sequence where each term is generated by verbally describing the digits of the previous term, studied for its surprising combinatorial and growth properties.
  • B. Ulam sequence
    The Ulam sequence is an integer sequence starting with 1 and 2 in which each subsequent term is the smallest integer that can be written uniquely as the sum of two distinct earlier terms.
  • C. Bernoulli numbers
    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.
  • D. Hardy–Ramanujan asymptotic formula
    The Hardy–Ramanujan asymptotic formula is a landmark result in number theory that gives an approximate expression for the partition function p(n), describing how the number of integer partitions of n grows rapidly with n.
  • E. Pascal's triangle
    Pascal's triangle is a triangular array of numbers in which each entry is the sum of the two directly above it, widely used in combinatorics, algebra, and probability.
  • 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_69a498d883a48190bfdca525296ef7ee completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c3361bf08190b3f6bbf82e17685b completed March 1, 2026, 10:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69acd48c41f4819092f7e1302d803662 completed March 8, 2026, 1:44 a.m.
NEDg Description generation batch_69acd543a0ac8190b9fd5e921b5ad9ea completed March 8, 2026, 1:47 a.m.
NED2 Entity disambiguation (via description) batch_69acd5b8fa2481908fd52d94e55b6377 completed March 8, 2026, 1:49 a.m.
Created at: March 1, 2026, 7:59 p.m.