Triple
T29565553
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Witt group of quadratic forms |
E753152
|
entity |
| Predicate | hasTrivialGroup |
P195770
|
FINISHED |
| Object | for algebraically closed fields of characteristic not 2 |
—
|
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 algebraically closed fields of characteristic not 2 | Statement: [Witt group of quadratic forms, hasTrivialGroup, for algebraically closed fields of characteristic not 2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasTrivialGroup Context triple: [Witt group of quadratic forms, hasTrivialGroup, for algebraically closed fields of characteristic not 2]
-
A.
hasTrivialAbelianization
Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
-
B.
hasTrivialCenter
Indicates that the group’s center consists only of the identity element, meaning it has no nontrivial elements that commute with all others.
-
C.
hasTrivialSchurMultiplier
Indicates that the Schur multiplier (second homology group) of a given group is trivial, meaning it is the zero group and there are no nontrivial central extensions detected by this invariant.
-
D.
hasTrivialOuterAutomorphismGroup
Indicates that the outer automorphism group associated with an object is trivial, meaning it contains only the identity element and thus no nontrivial outer automorphisms exist.
-
E.
isCenterNontrivial
Indicates that the center of a given algebraic structure (such as a group or ring) is not trivial, i.e., contains elements other than the identity.
- 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_69f0ef7fcb4881908a933110adb9bda1 |
completed | April 28, 2026, 5:33 p.m. |
| NER | Named-entity recognition | batch_69fde5d7d9548190880a9d95b8f0f66b |
completed | May 8, 2026, 1:32 p.m. |
| PD | Predicate disambiguation | batch_69fde4e1bf9c81909754545275eccc03 |
completed | May 8, 2026, 1:28 p.m. |
| PDg | Predicate description generation | batch_69fde5d677b88190bc904e6df8617c18 |
completed | May 8, 2026, 1:32 p.m. |
Created at: April 28, 2026, 5:52 p.m.