Triple
T38438197
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lefschetz number |
E904006
|
entity |
| Predicate | sumsOver |
P43790
|
FINISHED |
| Object | all homological degrees k |
—
|
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: all homological degrees k | Statement: [Lefschetz number, sumsOver, all homological degrees k]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: sumsOver Context triple: [Lefschetz number, sumsOver, all homological degrees k]
-
A.
isSumOf
Indicates that one quantity is the result of adding together two or more other quantities.
-
B.
summatoryIdentity
chosen
Indicates that two expressions are identically equal when summed over a specified range, typically expressing an equality between a summation and an equivalent closed-form or alternative summation.
-
C.
requiresUniqueRepresentationAsSum
Indicates that something must have a single, uniquely determined way of being expressed as a sum of specified components or parts.
-
D.
hasInfiniteSumSide
Indicates that one side of a relationship or equation involves an infinite sum or series rather than a finite quantity.
-
E.
hasMinimalSumOfReciprocals
Indicates that the related entities are arranged or selected such that the sum of the reciprocals of certain associated values is as small as possible compared to alternatives.
- 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_69f76e6a2024819081aa04f4932f89d2 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69fcce7afcd08190906cc3801152656a |
completed | May 7, 2026, 5:40 p.m. |
| PD | Predicate disambiguation | batch_69fcccf140ec8190862d53388a5f40d7 |
completed | May 7, 2026, 5:33 p.m. |
Created at: May 3, 2026, 4:31 p.m.