Triple

T7420204
Position Surface form Disambiguated ID Type / Status
Subject quadratic reciprocity law E171226 entity
Predicate secondSupplementStates P76854 FINISHED
Object for odd prime p, (2/p) = (-1)^{(p^2-1)/8} 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: for odd prime p, (2/p) = (-1)^{(p^2-1)/8} | Statement: [quadratic reciprocity law, secondSupplementStates, for odd prime p, (2/p) = (-1)^{(p^2-1)/8}]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: secondSupplementStates
Context triple: [quadratic reciprocity law, secondSupplementStates, for odd prime p, (2/p) = (-1)^{(p^2-1)/8}]
  • A. secondaryState
    Indicates that an entity is in a subordinate or less primary condition, status, or mode relative to its main or primary state.
  • B. secondaryTo
    Indicates that one condition, event, or factor occurs as a consequence of, or is caused by, another primary condition, event, or factor.
  • C. secondTier
    Indicates that something occupies a secondary or subordinate level of importance, quality, or rank relative to a primary or top tier.
  • D. secondedBy
    Indicates that an initial proposal, motion, or action by one entity is formally supported or endorsed by another entity as a second.
  • E. secondaryProducts
    Indicates that certain entities arise as secondary or byproduct outputs from a primary process, activity, or production.
  • 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_69c68a625d048190af70eb8b63bec5a0 completed March 27, 2026, 1:47 p.m.
NER Named-entity recognition batch_69c6f2ea61248190886e8e55b42ba5f1 completed March 27, 2026, 9:13 p.m.
PD Predicate disambiguation batch_69c6f0345040819094c5756dfa487faf completed March 27, 2026, 9:01 p.m.
PDg Predicate description generation batch_69c6f1c3307481909a7f6bb69d4fddac completed March 27, 2026, 9:08 p.m.
Created at: March 27, 2026, 3:11 p.m.