Triple

T26345243
Position Surface form Disambiguated ID Type / Status
Subject second supplementary law E662762 entity
Predicate hasAlternativeName P39 FINISHED
Object second supplementary law to quadratic reciprocity
The second supplementary law to quadratic reciprocity is a classical number-theoretic result that determines when 2 is a quadratic residue modulo an odd prime, complementing the main quadratic reciprocity law.
 E1720988 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: second supplementary law to quadratic reciprocity | Statement: [second supplementary law, hasAlternativeName, second supplementary law to quadratic reciprocity]
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: second supplementary law to quadratic reciprocity
Triple: [second supplementary law, hasAlternativeName, second supplementary law to quadratic reciprocity]
Generated description
The second supplementary law to quadratic reciprocity is a classical number-theoretic result that determines when 2 is a quadratic residue modulo an odd prime, complementing the main quadratic reciprocity law.

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_69ee81304194819092e20e0fae3aee07 completed April 26, 2026, 9:18 p.m.
NER Named-entity recognition batch_69f60fa657448190b782aef7e153337f completed May 2, 2026, 2:52 p.m.
NED1 Entity disambiguation (via context triple) batch_6a119a61f8ac8190b0c21b79c22c6b0c completed May 23, 2026, 12:15 p.m.
NEDg Description generation batch_6a119b1444008190a4cdcbe5fd8bca98 completed May 23, 2026, 12:18 p.m.
NED2 Entity disambiguation (via description) batch_6a119c370ec481909db25ac02d20efd2 completed May 23, 2026, 12:23 p.m.
Created at: April 26, 2026, 10:41 p.m.