Triple

T4410538
Position Surface form Disambiguated ID Type / Status
Subject Ramanujan partition congruences E94841 entity
Predicate thirdCongruence P56106 FINISHED
Object p(11k+6) ≡ 0 (mod 11) 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: p(11k+6) ≡ 0 (mod 11) | Statement: [Ramanujan partition congruences, thirdCongruence, p(11k+6) ≡ 0 (mod 11)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: thirdCongruence
Context triple: [Ramanujan partition congruences, thirdCongruence, p(11k+6) ≡ 0 (mod 11)]
  • A. thirdConsul
    Indicates that an entity holds the position or role of the third consul in a specified governing body or context.
  • B. thirdSingle
    Indicates that an entity is the third single (e.g., third single release) associated with another entity, typically in a sequence such as from an album or artist.
  • C. thirdWord
    Indicates that one entity is the third word in sequence within another entity (such as a text or phrase).
  • D. thirdPrecept
    Indicates refraining from sexual misconduct or inappropriate sexual behavior in accordance with the third moral precept.
  • E. thirdTier
    Indicates that an entity occupies a third level or rank within a hierarchical structure or classification.
  • F. None of above. chosen

Provenance (4 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_69b34539638c8190abfea3eb29425210 completed March 12, 2026, 10:59 p.m.
NER Named-entity recognition batch_69b354e4c58c8190b4190aad3095a1dd completed March 13, 2026, 12:05 a.m.
PD Predicate disambiguation batch_69b34f5b36a881909bf2e970aa523390 completed March 12, 2026, 11:42 p.m.
PDg Predicate description generation batch_69b3509997208190933f167f7e20ccfa completed March 12, 2026, 11:47 p.m.
Created at: March 12, 2026, 11:29 p.m.