Triple
T9297112
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Castelnuovo–Mumford regularity |
E223664
|
entity |
| Predicate | usedToBound |
P14327
|
FINISHED |
| Object | degrees of defining equations of projective embeddings |
—
|
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: degrees of defining equations of projective embeddings | Statement: [Castelnuovo–Mumford regularity, usedToBound, degrees of defining equations of projective embeddings]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: usedToBound Context triple: [Castelnuovo–Mumford regularity, usedToBound, degrees of defining equations of projective embeddings]
-
A.
boundFor
Indicates that something is destined, directed, or scheduled to go toward a particular destination or target.
-
B.
usedBetween
Indicates that something serves as a means, medium, or shared resource connecting or operating jointly between two entities.
-
C.
usedToInfer
Indicates that one entity serves as a basis or source from which another entity is logically derived or concluded.
-
D.
isUpperBoundFor
chosen
Indicates that one value is greater than or equal to every element in a given set or collection, serving as an upper limit for them.
-
E.
usedUntil
Indicates that something remained in use or operation up to a specified time or event, after which it was no longer used.
- 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_69ca8423edb08190bc0c91287a484768 |
completed | March 30, 2026, 2:09 p.m. |
| NER | Named-entity recognition | batch_69cd089e3ae88190aa4181cdd85a67b8 |
completed | April 1, 2026, 11:59 a.m. |
| PD | Predicate disambiguation | batch_69cc7a5aeb748190afb89c6bbd2a6d6f |
completed | April 1, 2026, 1:52 a.m. |
Created at: March 30, 2026, 7:36 p.m.