Triple

T6832740
Position Surface form Disambiguated ID Type / Status
Subject Disquisitiones Generales Circa Superficies Curvas E157377 entity
Predicate translatedTitle P6688 FINISHED
Object General Investigations of Curved Surfaces E157377 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: General Investigations of Curved Surfaces | Statement: [Disquisitiones Generales Circa Superficies Curvas, translatedTitle, General Investigations of Curved Surfaces]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: General Investigations of Curved Surfaces
Context triple: [Disquisitiones Generales Circa Superficies Curvas, translatedTitle, General Investigations of Curved Surfaces]
  • A. Theorema Egregium
    Theorema Egregium is Gauss’s celebrated theorem in differential geometry showing that the Gaussian curvature of a surface is an intrinsic property independent of how the surface is embedded in space.
  • B. Disquisitiones Generales Circa Superficies Curvas chosen
    Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
  • C. Application de l’analyse à la géométrie
    Application de l’analyse à la géométrie is a foundational mathematical treatise by Gaspard Monge that helped establish descriptive geometry by systematically applying analytical methods to geometric problems.
  • D. Clebsch diagonal surfaces
    Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
  • E. Elementa curvarum linearum
    Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
  • 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_69c6882c53608190b99aebef079b23bd completed March 27, 2026, 1:37 p.m.
NER Named-entity recognition batch_69c6d62b1e8c8190a81d91191a54b073 completed March 27, 2026, 7:10 p.m.
NED1 Entity disambiguation (via context triple) batch_69c723fab0a4819080d7cd9cb4dddd33 completed March 28, 2026, 12:42 a.m.
Created at: March 27, 2026, 2:18 p.m.