Triple
T23953832
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | positive mass theorem |
E603722
|
entity |
| Predicate | zeroMassCase |
P154485
|
FINISHED |
| Object | manifold is isometric to Euclidean space in the Riemannian version |
—
|
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: manifold is isometric to Euclidean space in the Riemannian version | Statement: [positive mass theorem, zeroMassCase, manifold is isometric to Euclidean space in the Riemannian version]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: zeroMassCase Context triple: [positive mass theorem, zeroMassCase, manifold is isometric to Euclidean space in the Riemannian version]
-
A.
zeroDefinition
Indicates that something has no defined value, quantity, or specification within the given context.
-
B.
zeroConcept
Indicates a conceptual or abstract entity that has no concrete instances or realizations in the given context.
-
C.
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.
-
D.
isMasslessIn
Indicates that an entity has zero rest mass within a specified context, system, or environment.
-
E.
minimumMass
Indicates the smallest mass value that an entity or system is required, allowed, or observed to have within a given 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_69e2954222288190a7323554d0cca8d7 |
completed | April 17, 2026, 8:17 p.m. |
| NER | Named-entity recognition | batch_69f1d0d558748190a51b5732a3e6713c |
completed | April 29, 2026, 9:35 a.m. |
| PD | Predicate disambiguation | batch_69f1615518088190a206f54e2fdb14a3 |
completed | April 29, 2026, 1:39 a.m. |
| PDg | Predicate description generation | batch_69f16e348b548190b76e50f9b611f76d |
completed | April 29, 2026, 2:34 a.m. |
Created at: April 17, 2026, 9:21 p.m.