Triple

T5538022
Position Surface form Disambiguated ID Type / Status
Subject Tolman length E145214 entity
Predicate mathematicalForm P2310 FINISHED
Object appears in first-order curvature correction to surface tension γ(R) = γ∞ (1 - 2δ/R + …) E145214 NE 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: appears in first-order curvature correction to surface tension γ(R) = γ∞ (1 - 2δ/R + …) | Statement: [Tolman length, mathematicalForm, appears in first-order curvature correction to surface tension γ(R) = γ∞ (1 - 2δ/R + …)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: appears in first-order curvature correction to surface tension γ(R) = γ∞ (1 - 2δ/R + …)
Context triple: [Tolman length, mathematicalForm, appears in first-order curvature correction to surface tension γ(R) = γ∞ (1 - 2δ/R + …)]
  • A. Tolman length in thermodynamics of curved interfaces chosen
    The Tolman length in thermodynamics of curved interfaces is a theoretical parameter that quantifies how the surface tension of a fluid interface depends on its curvature, especially for small droplets and bubbles.
  • B. Gaussian curvature
    Gaussian curvature is a fundamental concept in differential geometry that measures how a surface bends at a point by combining its principal curvatures into a single intrinsic quantity.
  • C. Menger curvature
    Menger curvature is a geometric concept that quantifies the curvature of a set or curve in metric spaces by using the reciprocal of the radius of the circle passing through three points.
  • D. Riemann curvature tensor
    The Riemann curvature tensor is a fundamental geometric object in differential geometry that measures how much a Riemannian manifold deviates from being flat by encoding the intrinsic curvature of the space.
  • E. Ricci curvature tensor
    The Ricci curvature tensor is a geometric object in differential geometry that measures how volumes in a curved space-time deviate from those in flat space, playing a central role in general relativity.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69c008fa64888190adae56c8f9ea4031 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c01fb19cb8819088b21e8ebef63d8b completed March 22, 2026, 4:58 p.m.
NED1 Entity disambiguation (via context triple) batch_69c02817cb04819088df72950c791144 completed March 22, 2026, 5:34 p.m.
Created at: March 22, 2026, 3:34 p.m.