Triple

T7871987
Position Surface form Disambiguated ID Type / Status
Subject Jacobi’s four-square theorem E182757 entity
Predicate countsZeroRepresentation P79481 FINISHED
Object includes representations with zero coordinates 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: includes representations with zero coordinates | Statement: [Jacobi’s four-square theorem, countsZeroRepresentation, includes representations with zero coordinates]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: countsZeroRepresentation
Context triple: [Jacobi’s four-square theorem, countsZeroRepresentation, includes representations with zero coordinates]
  • A. representsZeroLeadingWheelsAs
    Indicates that an entity with zero leading wheels is represented or encoded using a specified form or notation.
  • B. digitSymbolForZero
    Indicates that something serves as the written digit symbol representing the numerical value zero.
  • C. hasIndependentDigitZero
    Indicates that an entity possesses at least one digit or numeral component that is a zero considered as a distinct, standalone element.
  • D. representsDigitsOf
    Indicates that one entity encodes or corresponds to the individual digits that make up the numeric value of another entity.
  • E. isZeroFor
    Indicates that a given value, expression, or function evaluates to zero when applied to or considered with respect to a specified entity or context.
  • 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_69ca82894d9081908a832bfce71a4714 completed March 30, 2026, 2:02 p.m.
NER Named-entity recognition batch_69cb39a5950481908399211c5dfe2569 completed March 31, 2026, 3:04 a.m.
PD Predicate disambiguation batch_69cae928e1b88190b0620f4c4f03bc7d completed March 30, 2026, 9:20 p.m.
PDg Predicate description generation batch_69caf786ec748190b6347b0c94335550 completed March 30, 2026, 10:21 p.m.
Created at: March 30, 2026, 4:56 p.m.