Triple
T11098654
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | (2,3,7) triangle group |
E262443
|
entity |
| Predicate | hasMinimalSumOfReciprocals |
P97248
|
FINISHED |
| Object | among hyperbolic triangle groups |
—
|
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: among hyperbolic triangle groups | Statement: [(2,3,7) triangle group, hasMinimalSumOfReciprocals, among hyperbolic triangle groups]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasMinimalSumOfReciprocals Context triple: [(2,3,7) triangle group, hasMinimalSumOfReciprocals, among hyperbolic triangle groups]
-
A.
requiresUniqueRepresentationAsSum
Indicates that something must have a single, uniquely determined way of being expressed as a sum of specified components or parts.
-
B.
isQuotientOf
Indicates that one quantity is the result of dividing another quantity by a specified divisor.
-
C.
commensurableWith
Indicates that two quantities share a common measure, meaning their sizes can be expressed as integer multiples of the same unit.
-
D.
hasInfiniteSumSide
Indicates that one side of a relationship or equation involves an infinite sum or series rather than a finite quantity.
-
E.
isIntegralCombinationOf
Indicates that one entity can be expressed as a linear combination of other entities using only integer coefficients.
- 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_69d6aa9a40d88190a373e2c7e48285db |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d79a0c46308190889b94c23ebaca62 |
completed | April 9, 2026, 12:22 p.m. |
| PD | Predicate disambiguation | batch_69d7441aa3548190b92dbde57841c135 |
completed | April 9, 2026, 6:15 a.m. |
| PDg | Predicate description generation | batch_69d750ca52ec8190a559432a5de106fd |
completed | April 9, 2026, 7:10 a.m. |
Created at: April 8, 2026, 9:27 p.m.