Triple
T22150810
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Freddy Delbaen |
E547406
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object | Delbaen–Schachermayer fundamental theorem of asset pricing |
—
|
NE NERFINISHED |
How this triple was built (3 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: Delbaen–Schachermayer fundamental theorem of asset pricing | Statement: [Freddy Delbaen, knownFor, Delbaen–Schachermayer fundamental theorem of asset pricing]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Delbaen–Schachermayer fundamental theorem of asset pricing Context triple: [Freddy Delbaen, knownFor, Delbaen–Schachermayer fundamental theorem of asset pricing]
-
A.
Rabin’s calibration theorem for expected utility
Rabin’s calibration theorem for expected utility is a result in behavioral economics showing that standard expected utility theory with concave utility cannot plausibly explain observed levels of risk aversion over small stakes without implying absurdly high risk aversion over large stakes.
-
B.
Lucas asset pricing model
The Lucas asset pricing model is a foundational rational expectations framework in macro-finance that explains asset prices through representative-agent intertemporal consumption choices under uncertainty.
-
C.
Feynman–Kac formula
The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
-
D.
Merton’s model of credit risk
Merton’s model of credit risk is a structural framework in finance that values a firm’s equity as a call option on its assets to assess the probability of default and price corporate debt.
-
E.
Fisher separation theorem
The Fisher separation theorem is a foundational result in financial economics stating that a firm's investment decision can be made independently of its owners' consumption preferences, focusing solely on maximizing the present value of the firm.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Delbaen–Schachermayer fundamental theorem of asset pricing Target entity description: The Delbaen–Schachermayer fundamental theorem of asset pricing is a central result in mathematical finance that rigorously characterizes the absence of arbitrage in financial markets via the existence of an equivalent martingale measure under very general conditions.
-
A.
Rabin’s calibration theorem for expected utility
Rabin’s calibration theorem for expected utility is a result in behavioral economics showing that standard expected utility theory with concave utility cannot plausibly explain observed levels of risk aversion over small stakes without implying absurdly high risk aversion over large stakes.
-
B.
Lucas asset pricing model
The Lucas asset pricing model is a foundational rational expectations framework in macro-finance that explains asset prices through representative-agent intertemporal consumption choices under uncertainty.
-
C.
Feynman–Kac formula
The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
-
D.
Merton’s model of credit risk
Merton’s model of credit risk is a structural framework in finance that values a firm’s equity as a call option on its assets to assess the probability of default and price corporate debt.
-
E.
Fisher separation theorem
The Fisher separation theorem is a foundational result in financial economics stating that a firm's investment decision can be made independently of its owners' consumption preferences, focusing solely on maximizing the present value of the firm.
- F. None of above. chosen
Provenance (2 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_69e11e3b52088190ad5df386d01eb2fb |
completed | April 16, 2026, 5:36 p.m. |
| NER | Named-entity recognition | batch_69f129f37dac8190a7cecb12f4271515 |
completed | April 28, 2026, 9:43 p.m. |
Created at: April 16, 2026, 8:33 p.m.