Triple
T33320521
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Blaschke product |
E853121
|
entity |
| Predicate | isUnimodularOn |
P176488
|
FINISHED |
| Object | unit circle almost everywhere |
—
|
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: unit circle almost everywhere | Statement: [Blaschke product, isUnimodularOn, unit circle almost everywhere]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isUnimodularOn Context triple: [Blaschke product, isUnimodularOn, unit circle almost everywhere]
-
A.
isUnimodular
Indicates that a matrix (or linear transformation) has determinant ±1, preserving volume and invertibility over the integers.
-
B.
isUnipotent
Indicates that an element (typically a linear operator or matrix) differs from the identity by a nilpotent part, so that some power of (element − identity) equals zero.
-
C.
isEvenUnimodular
Indicates that a lattice is both even (all vector norms are even integers) and unimodular (has determinant ±1, i.e., is self-dual).
-
D.
isUniqueEvenUnimodularLatticeOfRank
Indicates that the subject is the only even unimodular lattice (up to isomorphism) having the specified rank.
-
E.
isMultiplicativelyIndecomposable
Indicates that an entity (typically a number or algebraic object) cannot be expressed as a nontrivial product of other entities of the same kind.
- 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_69f349685f088190b8fda44083a018a9 |
completed | April 30, 2026, 12:22 p.m. |
| NER | Named-entity recognition | batch_69f6e3156ea48190b604e414665ef351 |
completed | May 3, 2026, 5:54 a.m. |
| PD | Predicate disambiguation | batch_69f6de0b9ba48190887c9eb5d06a2e94 |
completed | May 3, 2026, 5:32 a.m. |
| PDg | Predicate description generation | batch_69f6e312d7fc819094dec41810f2585d |
completed | May 3, 2026, 5:54 a.m. |
Created at: May 1, 2026, 1:33 a.m.