Triple
T1427937
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gauss map |
E30376
|
entity |
| Predicate | theorem |
P21917
|
FINISHED |
| Object | area of image under Gauss map relates to total curvature |
—
|
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: area of image under Gauss map relates to total curvature | Statement: [Gauss map, theorem, area of image under Gauss map relates to total curvature]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: theorem Context triple: [Gauss map, theorem, area of image under Gauss map relates to total curvature]
-
A.
theorized
Indicates that one entity has proposed or developed a theoretical explanation or hypothesis about another entity or phenomenon.
-
B.
proved
chosen
Indicates that one entity has demonstrated the truth or validity of another entity (such as a statement, theorem, or claim) through logical or evidential means.
-
C.
statement
Indicates that an entity makes, issues, or expresses a declarative assertion, claim, or remark about something.
-
D.
subtheory
Indicates that one theory is a component, specialization, or restricted part of another, more general theory.
-
E.
theme
Indicates the entity that is the primary participant or content affected or characterized by an action, event, or state.
- F. None of above.
Provenance (3 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_69a498fb823c8190a67ce4c4837e641a |
completed | March 1, 2026, 7:52 p.m. |
| NER | Named-entity recognition | batch_69a4c52e4ed881908d85e0cb9fe851ac |
completed | March 1, 2026, 11:01 p.m. |
| PD | Predicate disambiguation | batch_69a4c4752abc8190a33b634c4d6fad28 |
completed | March 1, 2026, 10:57 p.m. |
Created at: March 1, 2026, 8 p.m.