Triple
T26970967
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Alexander–Spanier cohomology |
E679316
|
entity |
| Predicate | cochainDefinition |
P151070
|
FINISHED |
| Object | cochains defined on all finite subsets of a space |
—
|
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: cochains defined on all finite subsets of a space | Statement: [Alexander–Spanier cohomology, cochainDefinition, cochains defined on all finite subsets of a space]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: cochainDefinition Context triple: [Alexander–Spanier cohomology, cochainDefinition, cochains defined on all finite subsets of a space]
-
A.
cochainComplex
Indicates that one mathematical object is a cochain complex, i.e., a sequence of abelian groups or modules connected by homomorphisms whose composition of consecutive maps is zero.
-
B.
definesCohomologyClass
Indicates that one mathematical object (such as a cocycle, form, or map) specifies or determines a particular cohomology class in a given cohomology group.
-
C.
codifferentialDefinedAs
chosen
Indicates that a codifferential is being introduced and specified in terms of a defining formula or construction.
-
D.
chain
Indicates that one entity is linked or connected in sequence to another, typically as part of a series or chain of related elements or actions.
-
E.
chains
Indicates that one entity is physically or metaphorically bound, linked, or restrained by another through chains or a chain-like connection.
- 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_69eeeb507a7081909d516e1fa08b7d29 |
completed | April 27, 2026, 4:51 a.m. |
| NER | Named-entity recognition | batch_69f621cbc48881908d104c648c91c715 |
completed | May 2, 2026, 4:09 p.m. |
| PD | Predicate disambiguation | batch_69f620e0b37481909a280574decbd443 |
completed | May 2, 2026, 4:05 p.m. |
Created at: April 27, 2026, 6:39 a.m.